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This new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions. It contains two new chapters on neural networks and simulation.

• Sales Rank: #2815532 in Books
• Brand: Brand: Birkhäuser
• Published on: 2009-12-01
• Released on: 2009-12-01
• Original language: English
• Number of items: 1
• Dimensions: 9.00" h x 1.19" w x 6.00" l, 1.61 pounds
• Binding: Paperback
• 500 pages

Features

• Used Book in Good Condition

Review

From the reviews of the second edition:

"The text treats a remarkable spectrum of topics and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoy some of the interactive aspects of studying dynamics using Maple."   ―UK Nonlinear News (1st Edition)

"This book covers standard material for an introduction to dynamical systems theory. Written for both advanced undergraduates and new postgraduate students, this book is split into two distinctive parts: continuous systems using ordinary differential equations and discrete dynamical systems. Lynch uses the Maple package as a tool throughout the text to help with the understanding of the subject. The book contains over 250 examples and exercises with solutions and takes a hands-on approach. There are over 300 individual figures including about 200 Maple plots, with simple commands and programs listed at the end of each chapter...This publication will provide a solid basis for both research and education in nonlinear dynamical systems."   ―The Maple Reporter (1st Edition)

"The book will be useful for all kinds of dynamical systems courses…. [It] shows the power of using a computer algebra program to study dynamical systems, and, by giving so many worked examples, provides ample opportunity for experiments. … [It] is well written and a pleasure to read, which is helped by its attention to historical background."   ―Mathematical Reviews (1st Edition)

"… a very nice tutorial on Maple in which quite a few mathematical and graphical commands are illustrated. A student could quickly work through this tutorial and then be ready to do quite a bit with Maple….[The second part of Hilbert’s 16th problem] is not the topic encountered in most ODE texts, even if the question has been open for 100 years! … Lynch’s book provides great references, as well as Maple code that could be easily modified by readers who have the tools to quickly engage in quite sophisticated numerical experimentation."   ―SIAM Review (1st Edition)

"A student or scientist, who works through some chapters of the book, learns a good deal about the presented mathematical concepts and possibilities of the symbolic algebra package to assist the researcher in understanding his mathematical model."  ―Dynamical Systems Magazine (1st Edition)

“This book, that provides an introduction to the study of dynamical systems with the aid of the algebraic package Maple, is the second edition of the well known classical book of Stephen Lynch … . a well written and highly readable introduction to the numerical study dynamical systems with Maple at an introductory level that covers many topics of this subject and can be used as a very valuable resource for many courses in applied mathematics and modelization in engineering and physical sciences.” (Manuel Calvo, Zentralblatt MATH, Vol. 1193, 2010)

From the Back Cover

"The text treats a remarkable spectrum of topics and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoy some of the interactive aspects of studying dynamics using Maple."

―UK Nonlinear News (Review of First Edition)

"The book will be useful for all kinds of dynamical systems courses…. [It] shows the power of using a computer algebra program to study dynamical systems, and, by giving so many worked examples, provides ample opportunity for experiments. … [It] is well written and a pleasure to read, which is helped by its attention to historical background."

―Mathematical Reviews (Review of First Edition)

Since the first edition of this book was published in 2001, Maple™ has evolved from Maple V into Maple 13. Accordingly, this new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions; two new chapters on neural networks and simulation have also been added. There are also new sections on perturbation methods, normal forms, Gröbner bases, and chaos synchronization.

The work provides an introduction to the theory of dynamical systems with the aid of Maple. The author has emphasized breadth of coverage rather than fine detail, and theorems with proof are kept to a minimum. Some of the topics treated are scarcely covered elsewhere. Common themes such as bifurcation, bistability, chaos, instability, multistability, and periodicity run through several chapters.

The book has a hands-on approach, using Maple as a pedagogical tool throughout. Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author’s website. Additional applications and further links of interest may be found at Maplesoft’s Application Center.

Dynamical Systems with Applications using Maple is aimed at senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering.

ISBN 978-0-8176-4389-8

§

Also by the author:

Dynamical Systems with Applications using MATLAB®, ISBN 978-0-8176-4321-8

Dynamical Systems with Applications using Mathematica®, ISBN 978-0-8176-4482-6

Most helpful customer reviews

12 of 14 people found the following review helpful.
More information
By Steve Carlson
Thought I'd give a more in depth review than the others here.
Most advanced math textbooks contain one or two chapters that turn me off. I must say that every chapter in this book had useful information or very good applications.
The opening chapter is a brief introduction to Maple V (some Maple 8 commands are posted on the books website). Note that Maple 9 is now out and no doubt Maple X will soon follow.
Chapters 1-7 cover planar systems in some detail, vectorfield in DEplot is a real winner here. Chapters 8 and 9 cover 3D and nonautonomous systems - the poincare command in Maple is a real time saver.
Chapters 10-12 cover a lot of research results on limit cycles - the most lucid I have seen in any textbook.
The remaining half of the book concentrates on both real and complex discrete systems. There are the usual cobweb diagrams, bifurcation diagrams and Mandelbrot set. Where this book comes into its own, however, is in Chapters 16-20.
Lasers and nonlinear optics are investigated using complex iterative maps. Fractals and even multifractals are discussed in some detail. The book ends with a chapter dedicated to chaos control.
Overall, the book is concise with pertinent examples and applications. It is not dogged down with math notation, theorems and proofs.
Strogatz, Perko and Allgood are good books to practice more Maple programing techniques.

7 of 8 people found the following review helpful.
One of the best!
By A Customer
Good points:
1. Solutions to ALL exercises - why don't all books do this - I hate answers to odd numbered exercises - aaaagh!
2. Maple programs can be viewed on the Web - they all work.
3. Covers some topics not in other books.
4. You don't need to be a math major to understand the book.
5. There are no bad points.
I would rate this book as highly as Steven Strogatz's "Nonlinear Dynamics and Chaos" (now in paperback) and the book "Chaos - an Introduction to Dynamical Systems" by James Yorke et al.

6 of 8 people found the following review helpful.
First-rate!
By Mark Siever
I did my degree in Micro-Electronics and Computing but I've always been fascinated with chaos theory. This book is easy to read and you do not need to be a pure mathematician to understand the theory involved. I did most of the lower level mathematics in my degree course and it was nice to see it applied to real world problems.
The MAPLE code for many of the plots in the book is included at the end of chapters and there is an excellent web-site that allows you to view the figures in color. The MAPLE tutorials given at the beginning of the book should help new users.
The Aims and Objectives listed at the beginning of each chapter is a nice touch and there are many interesting exercises for the reader to get their teeth into.
Some of the chapters are at an advanced level but the results given there are easy to understand. It was also nice to have recently pubished research articles in the Bibliography.
I would highly recommend this book to anybody interested in chaos, fractals or nonlinear maths in general. I wish a topic like this could have been offered in my degree.
Mark Siever BSc (Hons) Micro-Electronics and Computing.

See all 8 customer reviews...

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* Download Math Into LaTeX, by George Grätzer

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A new chapter "A Visual Introduction to MikTeX," an open source implementation of TeX and LaTeX for Windows operating systems

Another new chapter describing amsrefs, a simpler method for formatting references that incorporates and replaces BibTeX data

Integrates a major revision to the amsart document class, along with updated examples

• Sales Rank: #887888 in Books
• Brand: Brand: Birkhäuser
• Published on: 2013-10-04
• Released on: 2013-10-04
• Original language: English
• Number of items: 1
• Dimensions: 9.25" h x 1.42" w x 7.52" l, 2.48 pounds
• Binding: Paperback
• 616 pages

Features

• Used Book in Good Condition

Review

"To sum up, Grätzer book can be recommended both as a very good introductory text for beginners as well as a handy up-to-date LaTeX reference for experienced users."

―Mathematical Reviews (Review of a previous edition)

"Writing a sufficiently long math text (lecture notes, monographs) by a non-expert TeX writer wanting to produce a text of good typographical quality requires the use of a well-documented package. Grätzer’s book is a solution."

―EMS Newsletter (Review of a previous edition)

"This book is truly unique in its focus on getting started fast yet keeping it simple. It is indispensable for the beginner and a handy reference for the experienced user."

―Bulletin of the Mathematical Association of India  (Review of a previous edition)

Most helpful customer reviews

17 of 18 people found the following review helpful.
How to make mathematics look nice
By Jacek Brodzki
I assume that you would not be looking at this book's entry in the catalogue if you did not know already that TeX is the best available tool for typesetting manuscripts involving a lot of mathematical formulae. This book presents LaTeX2e, the current "industry standard", which combines LaTeX with AMS-TeX.
The first objective of the book is to get a complete novice started in the shortest amount of time. This is done in Part 1, which contains all one needs to typeset a simple mathematical text. Part 2 gives a very detailed description of typesetting text and mathematics, pointing out the differences between LaTeX-derived commands and AMS-TeX codes. This is done very carefully and clearly. The structure of all sections is basically the same: overview of the contents, definitions of the commands covered, their scope, examples, typical errors (together with error commands generated by LaTeX when something goes wrong), more advanced topics. This part covers pretty much any scenario you are likely to encounter typesetting a mathematical document.
Part 3 goes into details of LaTeX document structure, including a synopsis of various document classes and how best to use them. Part 4 explains how to customize LaTeX, Part 5 treats long documents and BiBTeX, the bibliographic database. Final part, Part 6, treats LaTeX and the Web, mainly by poiting out various Web sites that can help you if you are serious about posting your work on the Web.
The book is very good at what it sets out to explain. There are, however, certain topics the author decided to leave out. There is no description of the picture environment, which although not exactly user friedly, is useful from time to time. The slide environment for producing transparencies is not described either, and I think this could have been included without too much trouble. To me this is a slightly more serious drawback than the first omission.
I give the book five stars for the following reason. This is a book that teaches you how to produce beautiful scientific manuscripts rather than how to rewrite LaTeX. The book itself is a very nice looking document, and so serves as a very good example of what is possible to achieve with LaTeX, if you follow the author's advice.

3 of 3 people found the following review helpful.
A highly recommended tutorial and reference to LaTeX
By Pierre Bonnal
To write a mathematics formula intensive article or thesis, one has two possibilities: either using a MS-Word-like software, or using LaTeX. There is no doubt: even if LaTeX made documents have a much more professional aspect, the use of this typesetting package is not so trivial! Hence, unlike traditional word processing software, a companion textbook is essential. Among the documentation available (for free) on the web, or other textbooks I went thru at the library, I found "Math into LaTeX" the most valuable introduction and reference book to LaTeX. I have to say that I bought it because once at the bookstore, among the books available on the shelf, it appears to me to be the one with the best price-quality ratio (it is extremely nicely crafted... and made with LaTeX). Once at home, the beginner I was finely understood the philosophy associated with this typesetting package, and at last, I was able to write the 3-page document I wanted. Now I consider I have become an *intermediate* user of LaTeX, and this book is still the one I put on the back burner; it realy constitute the concise and ergonomic reference I wanted. To conclude, perhaps the most valuable outcomes of this book are the rules and tips given all along the pages by Gratzer. If you follow them, I ensure you will proceed efficiently.

10 of 10 people found the following review helpful.
An excellent introduction to typesetting math in LaTeX
By Nick Zacharov
Math into LaTeX provides and excellent introduction to typesetting math in LaTeX for technical documents, web pages and books.
The book provides a short introduction to the overall use of LaTeX. This section is not the most exhaustive text on the topic, but provides all the fundamental information for a user start preparing a LaTeX document, assuming the user has LaTeX installed and has some basic knowledge of creating LaTeX documents.
The book's core provides numerous useful details and examples of how to typeset math, both simple and complex, using either LaTeX commands or AMS-LaTeX commands. This is the most important aspect of the book and is supported with many important examples using both LaTeX and AMS-LaTeX document classes with supporting example articles to be found in the appendix.
Valuable chapters include how to write books in LaTeX with details of how to handle large bibliographies and indices. Additionally, the complex issue of how to format math for web based publications is also presented in some detail.
Lastly, the structure of the book is very clear and formatted ideally, providing the reader with an excellent example of how to typeset and structure a book using LaTeX.

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^ Ebook Free Dynamical Systems with Applications using Mathematica®, by Stephen Lynch

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This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.

• Sales Rank: #1138039 in Books
• Brand: Brand: Birkhäuser Basel
• Published on: 2007-10-01
• Original language: English
• Number of items: 1
• Dimensions: 9.25" h x 1.14" w x 6.10" l, 1.53 pounds
• Binding: Paperback
• 484 pages

Features

• Used Book in Good Condition

Review
From the reviews:

"Stephen Lynch's book offers a comprehensive introduction to the theory and application of differential equations and dynamical systems methods. Its focus on applications and avoidance of overly technical arguments makes it a an equally good choice for teaching an undergraduate course in dynamical systems, as self-study for graduate students interested in dynamical systems, or as an introductory text for researchers seeking an overview of some current developments in applied dynamical systems. Most importantly, its content and presentation style convey the excitement that has drawn many students and researchers to dynamical systems in the first place.―Dynamical Systems Magazine

"This accessible university text shows how a wide range of differential equations work and begin to fail to work over a very wide range of solved and unsolvable applications. Mathematica is used throughout, from its tutorial introduction in Chapter 0 to the minimally chaotic neuromodule of the final section. This is the first work I have seen in which genuine self-education by computer is expected of the reader. The one-liner programs come to life when typed in, and the growing programming skill lends itself to inventing [one's] own extensions to the supplied problems.―Datafile, The Journal of the HPCC

“The book is a good introduction to dynamical systems theory. … This book presents an original, cheap and powerful solution to the problem of analysis of large data sets. … The text is aimed at graduate students and working scientists in various branches of applied mathematics, natural sciences and engineering. … recommend ‘Dynamical Systems with Applications using MATHEMATICA®’ as a good handbook for a diverse readership, for graduates and professionals in mathematics, physics, science and engineering.” (Damian Trif, Studia Universitatis Babeş-Bolyai. Mathematica, Vol. LIV (4), December, 2009)

From the Back Cover

Dynamical Systems with Applications using Mathematica® provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks.

Mathematica’s symbolic, numerical, and graphical capabilities make it ideal for the study of nonlinear dynamical systems. An introductory chapter provides complete tutorials on how to use Mathematica’s text-based input commands and palettes, enabling new users to become familiar with the program, while providing a good reference source for experts. Working Mathematica notebooks will be available at http://library.wolfram.com/infocenter/Books/AppliedMathematics/.

Throughout the book, the author has focused on breadth of coverage rather than fine detail, with theorems and proofs being kept to a minimum. The first part of the book deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems. Some of the material presented is at the postgraduate level and has been influenced by the author’s own research interests. Exercises are included at the end of every chapter. A comprehensive bibliography including textbooks and research papers rounds out the work.

The book is intended for senior undergraduate and graduate students as well as working scientists in applied mathematics, the natural sciences, and engineering. Many chapters of the book are especially useful as reference material for senior undergraduate independent project work.

Also by the author:

Dynamical Systems with Applications using MATLAB®, ISBN 978-0-8176-4321-8

Dynamical Systems with Applications using Maple, ISBN 978-0-8176-4150-4

 

 

Most helpful customer reviews

3 of 3 people found the following review helpful.
The code is available as a download from Wolfram!
By Roger Bagula
Some of the programs are really well done. What
convinced me is the von Koch code worked in an experimental application I've been trying to do for several years.
As I have several IFS and L-system von Koch that I couldn't manage to get in a useable form,
that says something for the programming in the book.
The material in the book isn't really very new, but it works
in the current Mathematica version and with the download can be taught to students
with minimal trouble.

3 of 3 people found the following review helpful.
Dynamics and Mathematica
By Alan Renton
This is one of the better books combining differential eqs, chaos, and bifurcations with short, clear examples in Mathematica.Highly recommended.

2 of 2 people found the following review helpful.
good book, beware answer key
By Calidreamin
I loved this class, the book was a little harder to learn from. Beware, MANY of the answers listed in the answer key are wrong.

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This delightful divertissement is a lampoon of dueling culture set in southeastern Alabama, penned by a cousin of the better known humorist Johnson Jones Hooper. Interestingly George W. Hooper did not identify himself as the author, perhaps for fear that some enterprising duelist would decide he had been personally lampooned and take umbrage. The main character is a figure familiar in outline to readers of John Gorman Barr, J. J. Hooper, Joseph G. Baldwin, and other practitioners of what is known as the humor of the Old Southwest. This tetchy blowhard is able to find a personal slight in every social circumstance of the most casual nature, to determine the only resolution that could preserve his personal honor is a duel, and then to find elaborate reasons why the affair d’honneur must be postponed indefinitely. The protagonist is accompanied by a Watson-like admirer of comparable wooden-headedness, who admiringly keeps track of all this punctilio—and constantly just barely avoids offending his patron at every turn. The work ends with the provisions of the real “Code Duello,” which cede nothing to the fiction in sheer ridiculousness.

• Sales Rank: #6549649 in Books
• Brand: Brand: University Alabama Press
• Published on: 2007-01-07
• Original language: English
• Number of items: 1
• Dimensions: 8.50" h x .80" w x 5.50" l, .89 pounds
• Binding: Paperback
• 288 pages

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# PDF Download Vortices in Bose-Einstein Condensates (Progress in Nonlinear Differential Equations and Their Applications), by Amandine Aftalion

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This book provides an up-to-date approach to the diagnosis and management of endocarditis based on a critical analysis of the recent studies. It is the only up-to-date clinically oriented textbook available on this subject. The book is structured in a format that is easy to follow, clinically relevant and evidence based. The author has a special interest in the application of ultrasound in the study of cardiac structure and function.

• Sales Rank: #973276 in Books
• Published on: 2006-06-06
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x .56" w x 6.14" l, 1.10 pounds
• Binding: Hardcover
• 203 pages

Review

The book is a compilation of several recent papers in the rigorous analysis of the Gross-Pitaevski\u\i functional in various physically relevant regimes, as well as a helpful discussion of the physical literature and numerical studies of vortices in BEC. Most of the analysis is done for the Thomas-Fermi limit in two-dimensional cases – MathSciNet

"This monograph by Amandine Aftalion presents rigorous mathematical models of some experiments on BECs which display vortices." –Zetralblatt Math

From the Back Cover

Since the first experimental achievement of Bose–Einstein condensates (BEC) in 1995 and the award of the Nobel Prize for Physics in 2001, the properties of these gaseous quantum fluids have been the focus of international interest in physics. This monograph is dedicated to the mathematical modelling of some specific experiments which display vortices and to a rigorous analysis of features emerging experimentally.

In contrast to a classical fluid, a quantum fluid such as a Bose–Einstein condensate can rotate only through the nucleation of quantized vortices beyond some critical velocity. There are two interesting regimes: one close to the critical velocity, where there is only one vortex that has a very special shape; and another one at high rotation values, for which a dense lattice is observed.

One of the key features related to superfluidity is the existence of these vortices. We address this issue mathematically and derive information on their shape, number, and location. In the dilute limit of these experiments, the condensate is well described by a mean field theory and a macroscopic wave function solving the so-called Gross–Pitaevskii equation. The mathematical tools employed are energy estimates, Gamma convergence, and homogenization techniques. We prove existence of solutions that have properties consistent with the experimental observations. Open problems related to recent experiments are presented.

The work can serve as a reference for mathematical researchers and theoretical physicists interested in superfluidity and quantum fluids, and can also complement a graduate seminar in elliptic PDEs or modelling of physical experiments.

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> Download Ebook The Non-Euclidean Revolution, by Richard J. Trudeau

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Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world. A portion of the book won the Pólya Prize, a distinguished award from the Mathematical Association of America.

• Sales Rank: #2304660 in Books
• Brand: Brand: Birkhäuser Boston
• Published on: 1999-05-11
• Original language: English
• Number of items: 1
• Dimensions: 9.50" h x 6.25" w x .75" l, .0 pounds
• Binding: Hardcover
• 270 pages

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• Used Book in Good Condition

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From the reviews:

"Trudeau meets the challenge of reaching a broad audience in clever ways...(The book) is a good addition to our literature on non-Euclidean geometry and it is recommended for the undergraduate library."--Choice, February 1988

"...the author, in this remarkable book, describes in an incomparable way the fascinating path taken by the geometry of the plane in its historical evolution from antiquity up to the discovery of non-Euclidean geometry. This 'non-Euclidean revolution', in all its aspects, is described very strikingly here...Many illustrations and some amusing sketches complement the very vividly written text."--Mathematical Reviews

"In The Non-Euclidean Revolution, we have a mathematically rigorous explanation of … sea change in mathematics which is at the same time suitable for any educated reader. … I have found that this book achieves my goal of bringing some serious mathematics into our honors program and Trudeau’s goal of bringing his readers through the 19th century revolution brought about by an alternative to Euclid’s geometry. … Trudeau’s book shines as a guide to that revolution." (Mark Bollman, MathDL, May, 2008)

From the Back Cover

How unique and definitive is Euclidean geometry in describing the "real" space in which we live?

Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world.

Trudeau writes in a lively, entertaining, and highly accessible style. His book provides one of the most stimulating and personal presentations of a struggle with the nature of truth in mathematics and the physical world. A portion of the book won the Pólya Prize, a distinguished award from the Mathematical Association of America.

"Trudeau meets the challenge of reaching a broad audience in clever ways...(The book) is a good addition to our literature on non-Euclidean geometry and it is recommended for the undergraduate library."--Choice (review of 1st edition)

"...the author, in this remarkable book, describes in an incomparable way the fascinating path taken by the geometry of the plane in its historical evolution from antiquity up to the discovery of non-Euclidean geometry. This 'non-Euclidean revolution', in all its aspects, is described very strikingly here...Many illustrations and some amusing sketches complement the very vividly written text."--Mathematical Reviews

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5 of 12 people found the following review helpful.
Propaganda history
By Viktor Blasjo
This is on the whole a standard semi-historical text on non-Euclidan geometry. What sets this text apart from the others in this genre is Trudeau's candidness regarding conclusions and interpretation of this story. Trudeau's conclusions and interpretations are precisely those of the blue-eyed research mathematician of today, not realising that he is distorting history for the purpose of propaganda. His propaganda goal is simple: intuition is bad, formalism is good. The history of non-Euclidean geometry does not support this conclusion, so Trudeau has to fake it. He does this in the form of fictitious dialogues with a student, whose stupid "intuitions" are always set straight. For example, this alleged student has the alleged "intuition" that Playfair's axiom is necessarily true. His feeble struggle with Trudeau's iron intellect even needs to be condensed by this statement:

"Time goes by. More proofs are suggested. Trudeau, with obvious pleasure, demonstrates how each proposal turns on some assertion logically equivalent to Postulate 5. Finally the other lapses into exasperated silence." (p. 161).

The conclusion sanctioned by Trudeau is that intuition should be given up in favour of formalism. But this is complete bogus-history. The whole point of the debate concerning Postulate 5 was precisely that it was *not* intuitively obvious. Which is why Trudeau is reduced to fighting, "with obvious pleasure," a fictitious opponent. While the result was not intuitive, the nature of the formal system suggested that it could be proved. Thus *it was the formal system that fooled us,* not our intuitions about geometry. Therefore, if any lessons are to be learned from the history of non-Euclidean geometry it is the exact opposite of that sanctioned by Trudeau.

Among the many other things which Trudeau gets backwards because of his doctrinal blindness are the relation of logic to mathematics (p. 14) and why Kant was wrong (p. 250). But I do not have the patience to detail these things.

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# Ebook Download Paths to a Middle Ground: The Diplomacy of Natchez, Boukfouka, Nogales, and San Fernando de las Barrancas, 1791-1795 (Atlantic Crossings)

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Spanish imperial attempts to form strong Indian alliances to thwart American expansion in the Mississippi Valley. Charles Weeks explores the diplomacy of Spanish colonial officials in New Orleans and Natchez in order to establish posts on the Mississippi River and Tombigbee rivers in the early 1790s. Another purpose of this diplomacy, urged by Indian leaders and embraced by Spanish officials, was the formation of a regional Indian confederation that would deter American expansion into Indian lands.
Weeks shows how diplomatic relations were established and maintained in the Gulf South between Choctaw, Chickasaw, Creek, and Cherokee chiefs and their Spanish counterparts aided by traders who had become integrated into Indian societies. He explains that despite the absence of a European state system, Indian groups had diplomatic skills that Europeans could understand: full-scale councils or congresses accompanied by elaborate protocol, interpreters, and eloquent metaphorical language.
Paths to a Middle Ground is both a narrative and primary documents. Key documents from Spanish archival sources serve as a basis for the examination of the political culture and imperial rivalry playing out in North America in the waning years of the 18th century.   

• Sales Rank: #10002860 in Books
• Brand: Brand: University Alabama Press
• Published on: 2010-07-07
• Original language: English
• Number of items: 1
• Dimensions: 9.00" h x .90" w x 6.00" l, .0 pounds
• Binding: Paperback
• 304 pages

Features

• Used Book in Good Condition

Review
“Indian points of view are captured at a crucial phase of this region’s history, and the political stakes for Indians and Europeans alike are made palpable. . . . Highlights in Weeks’s analysis include how he treats town autonomy among Indian nations, the gift-kinship relationship, and the versatile role of traders.”--Daniel H. Usner Jr., author of American Indians in the Mississippi Valley          

“Weeks provides a detailed and thorough examination with the right balance of narrative and analysis. Although the focus of the book is a mere five years, the documents and the supporting text both point to and illuminate larger issues in European-Indian diplomacy. It is a book that should be of benefit to scholars of Indian history, Spanish borderlands history, and southern colonial history.”--Colin G. Calloway, author of New Worlds for All: Indians, Europeans, and the Remaking of Early America  

From the Inside Flap
Charles Weeks explores the diplomacy of Spanish colonial officials in New Orleans and Natchez in order to establish posts on the Mississippi River and Tombigbee rivers in the early 1790s. Another purpose of this diplomacy, urged by Indian leaders and embraced by Spanish officials, was the formation of a regional Indian confederation that would deter American expansion into Indian lands.
Weeks shows how diplomatic relations were established and maintained in the Gulf South between Choctaw, Chickasaw, Creek, and Cherokee chiefs and their Spanish counterparts aided by traders who had become integrated into Indian societies. He explains that despite the absence of a European state system, Indian groups had diplomatic skills that Europeans could understand: full-scale councils or congresses accompanied by elaborate protocol, interpreters, and eloquent metaphorical language. "
Paths to a Middle Ground" is both a narrative and primary documents. Key documents from Spanish archival sources serve as a basis for the examination of the political culture and imperial rivalry playing out in North America in the waning years of the 18th century. Charles A. Weeks is author of "The Juarez Myth in Mexico." ""

From the Back Cover
Spanish imperial attempts to form strong Indian alliances to thwart American expansion in the Mississippi Valley. "Indian points of view are captured at a crucial phase of this region's history, and the political stakes for Indians and Europeans alike are made palpable. . . . Highlights in Weeks's analysis include how he treats town autonomy among Indian nations, the gift-kinship relationship, and the versatile role of traders."--Daniel H. Usner Jr., author of "American Indians in the Mississippi Valley" "Weeks provides a detailed and thorough examination with the right balance of narrative and analysis. Although the focus of the book is a mere five years, the documents and the supporting text both point to and illuminate larger issues in European-Indian diplomacy. It is a book that should be of benefit to scholars of Indian history, Spanish borderlands history, and southern colonial history."--Colin G. Calloway, author of "New Worlds for All: Indians, Europeans, and the Remaking of Early America"

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Paths to a Middle Ground: The Diplomacy of Natchez, Boukfouka, Nogales, and San Fernando de las Barrancas, 1791-1795 (Atlantic Crossings) PDF
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For the past 25 years the theory of pseudodifferential operators has played an important role in many exciting and deep investigations into linear PDE. Over the past decade, this tool has also begun to yield interesting results in nonlinear PDE. This book is devoted to a summary and reconsideration of some used of pseudodifferential operator techniques in nonlinear PDE. The book should be of interest to graduate students, instructors, and researchers interested in partial differential equations, nonlinear analysis in classical mathematical physics and differential geometry, and in harmonic analysis.

• Sales Rank: #1979989 in Books
• Published on: 2013-10-04
• Released on: 2013-10-04
• Ingredients: Example Ingredients
• Original language: English
• Number of items: 1
• Dimensions: 9.25" h x .51" w x 6.10" l, 1.10 pounds
• Binding: Paperback
• 216 pages

From the Back Cover

For the past 25 years the theory of pseudodifferential operators has played an important role in many exciting and deep investigations into linear PDE. Over the past decade, this tool has also begun to yield interesting results in nonlinear PDE. This book is devoted to a summary and reconsideration of some used of pseudodifferential operator techniques in nonlinear PDE.

One goal has been to build a bridge between two approaches which have been used in a number of papers written in the last decade, one being the theory of paradifferential operators, pioneered by Bony and Meyer, the other the study of pseudodifferential operators whose symbols have limited regularity. The latter approach is a natural successor to classical devices of deriving estimates for linear PDE whose coefficients have limited regularity in order to obtain results in nonlinear PDE.

After developing the requisite tools, we proceed to demonstrate their effectiveness on a range of basic topics in nonlinear PDE. For example, for hyperbolic systems, known sufficient conditions for persistence of solutions are both sharpened and extended in scope. In the treatment of parabolic equations and elliptic boundary problems, it is shown that the results obtained here interface particularly easily with the DeGiorgi-Nash-Moser theory, when that theory applies.

To make the work reasonable self-contained, there are appendices treating background topics in harmonic analysis and the DeGiorgi-Nash-Moser theory, as well as an introductory chapter on pseudodifferential operators as developed for linear PDE.

The book should be of interest to graduate students, instructors, and researchers interested in partial differential equations, nonlinear analysis in classical mathematical physics and differential geometry, and in harmonic analysis.

About the Author
Michael Taylor is a teacher at Michael Hall (Waldorf) School in the UK. He promotes traditional childhood games of movement and agility for the classroom, playground, and gym, and is often called the String Man. In addition to string figures, Michael collects and teaches clapping games, finger games, jump-rope activities, ball bouncing, and beanbag games. He always carries a string with him, and has been known to share string patterns with strangers on trains and airplanes. He is the author of "Finger Strings; Pull the Other One!" and "Now You See It..."

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For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox­ ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.

• Sales Rank: #4216930 in Books
• Brand: Brand: Birkhäuser
• Published on: 2001-10-26
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x .81" w x 6.14" l, 1.42 pounds
• Binding: Hardcover
• 332 pages

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• Used Book in Good Condition

Review

"The book contains some new unpublished results. It will appeal to researchers in partial differential equations, nonlinear analysis, and continuum mechanics."

―Zentralblatt Math

". . . very important and useful monograph . . . The book is addressed to pure or applied mathematicians at universities and in industry and also to graduate level students. All results are presented in a systematic and self-contained manner, precise proofs being usually sufficiently detailed. The topic makes the book appealing for any specialist interested in applications of energy methods for free boundary problems in nonlinear PDEs and fluid mechanics."

―Mathematical Reviews

"The book...is a well-done selection of the most powerful energy methods - some of them very recent - used in the study of free boundary problems in nonlinear partial differential equations. Clearly and concisely written and containing a plenty of examples and applications, this monograph is of interset for all those mathematicians, or applied mathematicians, working in Partial Diffferential Equations, Nonlinear Analysis and Fluid Mechanics, physicists and engineers." ---Analele Stiintifice ale Auniversitatii ,,al.I. cuza din Iasi

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