# Ebook Download A Primer of Real Analytic Functions, Second Edition, by Steven G Krantz, Harold R. Parks

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Key topics in the theory of real analytic functions are covered in this text,and are rather difficult to pry out of the mathematics literature.; This expanded and updated 2nd ed. will be published out of Boston in Birkhäuser Adavaned Texts series.; Many historical remarks, examples, references and an excellent index should encourage the reader study this valuable and exciting theory.; Superior advanced textbook or monograph for a graduate course or seminars on real analytic functions.; New to the second edition a revised and comprehensive treatment of the Faá de Bruno formula, topologies on the space of real analytic functions,; alternative characterizations of real analytic functions, surjectivity of partial differential operators, And the Weierstrass preparation theorem.

• Sales Rank: #2711266 in Books
• Brand: Brand: Birkhäuser
• Published on: 2002-06-27
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x .56" w x 6.14" l, 1.18 pounds
• Binding: Hardcover
• 209 pages

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• Used Book in Good Condition

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"This is the second, improved edition of the only existing monograph devoted to real-analytic functions, whose theory is rightly considered in the preface 'the wellspring of mathematical analysis.' Organized in six parts, [with] a very rich bibliography and an index, this book is both a map of the subject and its history. Proceeding from the most elementary to the most advanced aspects, it is useful for both beginners and advanced researchers. Names such as Cauchy-Kowalewsky (Kovalevskaya), Weierstrass, Borel, Hadamard, Puiseux, Pringsheim, Besicovitch, Bernstein, Denjoy-Carleman, Paley-Wiener, Whitney, Gevrey, Lojasiewicz, Grauert and many others are involved either by their results or by their concepts."

―MATHEMATICAL REVIEWS

"Bringing together results scattered in various journals or books and presenting them in a clear and systematic manner, the book is of interest first of all for analysts, but also for applied mathematicians and researchers in real algebraic geometry."

―ACTA APPLICANDAE MATHEMATICAE

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! PDF Download Approximation Theory: From Taylor Polynomials to Wavelets (Applied and Numerical Harmonic Analysis), by Ole Christensen, Khadija Laghrida

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This concisely written book gives an elementary introduction to a classical area of mathematics – approximation theory – in a way that naturally leads to the modern field of wavelets.  The exposition, driven by ideas rather than technical details and proofs, demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications.  Featuring classical, illustrative examples and constructions, exercises, and a discussion of the role of wavelets to areas such as digital signal processing and data compression, the book is one of the few to describe wavelets in words rather than mathematical symbols.

• Sales Rank: #2035588 in Books
• Brand: Brand: Birkhäuser
• Published on: 2004-03-18
• Original language: English
• Number of items: 1
• Dimensions: 9.25" h x .39" w x 6.10" l, .66 pounds
• Binding: Paperback
• 156 pages

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• Used Book in Good Condition

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"Approximation methods and wavelets have found many important applications in signal processing. This well-written textbook provides an elementary introduction to approximation theory. The authors concentrate on the presentation of main ideas and demonstrate the great influence of classical approximation theory on modern applied mathematics. This book, with many illustrative examples, is easy to read…[and] will be very useful for anyone interested in approximation theory and wavelets."   ―Zentralblatt Math

From the Back Cover

This concisely written book gives an elementary introduction to a classical area of mathematics―approximation theory―in a way that naturally leads to the modern field of wavelets. The exposition, driven by ideas rather than technical details and proofs, demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications.

Key features and topics:

* Description of wavelets in words rather than mathematical symbols

* Elementary introduction to approximation using polynomials (Weierstrass’ and Taylor’s theorems)

* Introduction to infinite series, with emphasis on approximation-theoretic aspects

* Introduction to Fourier analysis

* Numerous classical, illustrative examples and constructions

* Discussion of the role of wavelets in digital signal processing and data compression, such as the FBI’s use of wavelets to store fingerprints

* Minimal prerequisites: elementary calculus

* Exercises that may be used in undergraduate and graduate courses on infinite series and Fourier series

Approximation Theory: From Taylor Polynomials to Wavelets will be an excellent textbook or self-study reference for students and instructors in pure and applied mathematics, mathematical physics, and engineering. Readers will find motivation and background material pointing toward advanced literature and research topics in pure and applied harmonic analysis and related areas.

About the Author

Ole Christensen is the author of An Introduction to Frames and Riesz Bases (0-8176-4295-1).

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1 of 2 people found the following review helpful.
The best introduction to wavelets
By Maria N B Burgos
It's hard to find a book that deals with wavelets so naturally as this one. Very good introduction to the subject, with lots of examples and no mathematical complications (which is interesting, especially for engineers).

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? Free Ebook Tohopeka: Rethinking the Creek War and the War of 1812From Brand: Pebble Hill Books

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Tohopeka contains a variety of perspectives and uses a wide array of evidence and approaches, from scrutiny of cultural and religious practices to literary and linguistic analysis, to illuminate this troubled period.  Almost two hundred years ago, the territory that would become Alabama was both ancient homeland and new frontier where a complex network of allegiances and agendas was playing out. The fabric of that network stretched and frayed as the Creek Civil War of 1813-14 pitted a faction of the Creek nation known as Red Sticks against those Creeks who supported the Creek National Council.  The war began in July 1813, when Red Stick rebels were attacked near Burnt Corn Creek by Mississippi militia and settlers from the Tensaw area in a vain attempt to keep the Red Sticks’ ammunition from reaching the main body of disaffected warriors. A retaliatory strike against a fortified settlement owned by Samuel Mims, now called Fort Mims, was a Red Stick victory.  The brutality of the assault, in which 250 people were killed, outraged the American public and “Remember Fort Mims” became a national rallying cry.  During the American-British War of 1812, Americans quickly joined the war against the Red Sticks, turning the civil war into a military campaign designed to destroy Creek power. The battles of the Red Sticks have become part of Alabama and American legend and include the famous Canoe Fight, the Battle of Holy Ground, and most significantly, the Battle of Tohopeka (also known as Horseshoe Bend)—the final great battle of the war. There, an American army crushed Creek resistance and made a national hero of Andrew Jackson.
New attention to material culture and documentary and archaeological records fills in details, adds new information, and helps disabuse the reader of outdated interpretations.  Contributors
Susan M. Abram / Kathryn E. Holland Braund/Robert P. Collins / Gregory Evans Dowd /John E. Grenier / David S. Heidler / Jeanne T. Heidler / Ted Isham / Ove Jensen / Jay Lamar /Tom Kanon / Marianne Mills / James W. Parker / Craig T. Sheldon Jr. / Robert G. Thrower / Gregory A. Waselkov

• Sales Rank: #1845546 in Books
• Brand: Brand: Pebble Hill Books
• Published on: 2012-07-30
• Original language: English
• Number of items: 1
• Dimensions: 9.25" h x 1.10" w x 6.13" l, 1.20 pounds
• Binding: Paperback
• 336 pages

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• Used Book in Good Condition

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"[…] Tohopeka offers compelling analyses and uses new evidence to show how a localized Creek civil war had enormous implications for the course of American history."
—The Journal of Southern History


"An interesting, interdisciplinary collection of essays on a timely topic,quite readable by the non-specialist."--Robbie Ethridge, coeditor of Light on the Path: The Anthropology and History of the Southeastern Indians 

“Tohopeka is an important and timely volume that offers fresh insights into the War of 1812 and overlapping Creek War. As a whole, the book busts many long-held myths and alters our most basic interpretations of the southern conflicts.”—Andrew K. Frank, author of Creeks and Southerners: Biculturalism on the Early American Frontier and editor of Early Republic: People and Perspectives

About the Author

Kathryn E. Holland Braund is Hollifield Professor of Southern History at Auburn University. She is the author of Deerskins and Duffels: The Creek Indian Trade with Anglo-America, 1685−1815 and coeditor of Fields of Vision: Essays on the “Travels” of William Bartram and William Bartram on the Southeastern Indians.

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19 of 19 people found the following review helpful.
Understanding the Creek War
By Christopher D. Kimball
Two or three years ago there was a Creek War / War of 1812 symposium held at Auburn University. I watched some of it on-line. I was only able to catch a few of the talks due to a poor quality computer connection. There was talk about putting the conference on a dvd, and I was disappointed when I did not see it. But now I have something even better, with all the references. The book containing all the papers from the symposium, with the sources and references they used is much better.

This book can be compared to a whole college study course about the Creek War. A dozen different papers on different aspects of the war, from the best professors and writers on the subject. I have books and papers by several of these people, and even know a few of them rather well. And for the bicentennial of the war, rethinking and reexamining the war is exactly what they do. Included are perspective of the Creek descendants themselves, with views from Ted Isham of the Muscogee Creek Nation, and Robert Thrower of the Poarch Creek Band.

Authors of the various chapters are ones you probably know if you have any books on the Creek War, and you probably have a book or two written by them. Kathryn Holland Braund who wrote "Deerskins and Duffles: Creek Indian Trade with Anglo America, 1685-1815" and who has recently reprinted works of William Bartram and James Adair. David and Jeanne Heidler who wrote, "Old Hickory's War: Andrew Jackson and the Quest for Empire."

The 1813-1814 Creek War has always bothered me, and I always felt as if I was missing a few pieces of the puzzle. I have visited Fort Mims and Horseshoe Bend, and read a number of biographies on both William Weatherford and Andrew Jackson. I even worked at one of these War of 1812 sites for almost three years. But I have always been bothered by this war in Alabama that lasted only 7 or 8 months but killed and displaced thousands of people. Both the Red Sticks and the US Army & state militias had no problem with wiping out whole communities and killing the women and children. I really needed to understand beyond Fort Mims or Horseshoe Bend.

And this is the book has helped me understand, by looking at several factors and influences that went into the 1813-1814 Creek War. Also by revisiting the original papers and accounts. The clash of cultures that preceded the war are examined. Tecumseh's visit to Tuckabatchee, and if it really made a difference or not with the Red Sticks who were already working on the uprising. The view of the settlers of the early 19th century, who wanted the land and believed that the only way to solve conflicts with the Indians was to either totally remove them, or wipe them out.

My personal favorite chapter was "'A Packet from Canada': Telling Conspiracy Stories on the 1813 Creek Frontier" by Robert P. Collins. It examines the months prior to the war of the rumor of a supposed letter of support the Red Sticks had from the British. Was there really a letter? What happened when the Red Sticks tried to get arms in Spanish Pensacola, and what really happened at Burnt Corn Creek and how many warriors were actually there?

The American Army was poorly trained and supplied, and it is a wonder that they accomplished anything. Supply lines were scarce, desertions were high, and the only way they kept it together was by the dominating will of Jackson. There was no communication between forces, but they managed to destroy 60 Creek towns in Alabama.

Towards the end of the book is an examination of the archaeology of Creek War sites. Why they are so hard to find, with little remaining artifacts, and why they are so difficult to tell apart between Creek and settler sites.

The appendix of the book has a list of all the related Creek War sites, including Creek villages, forts, settlements, temporary camps, and burned houses. Only a handful of these sites are preserved today. A few more have been surveyed but remain closed to the public and in private hands. But the majority of these sites remained lost in time and still hidden in the ground.

This book is a welcome addition to my library of books on the Creek War. (And I have many.) I am not sure if I will need any new ones after this.

2 of 2 people found the following review helpful.
Invaluable for my work
By ellonwheels
This topic is one of extreme interest to me, and I love Braund. I found it to be very edifying, as research for a book I'm writing. This war is a critical part of my story and this look at it provided new insights I found to be invaluable.

1 of 2 people found the following review helpful.
Five Stars
By Waldvieh
Good read. Another great book from the author.

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~~ Download PDF Introduction to Commutative Algebra and Algebraic Geometry, by Ernst Kunz

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It has been estimated that, at the present stage of our knowledge, one could give a 200 semester course on commutative algebra and algebraic geometry without ever repeating himself. So any introduction to this subject must be highly selective. I first want to indicate what point of view guided the selection of material for this book. This introduction arose from lectures for students who had taken a basic course in algebra and could therefore be presumed to have a knowledge of linear algebra, ring and field theory, and Galois theory. The present text shouldn't require much more. In the lectures and in this text I have undertaken with the fewest possible auxiliary means to lead up to some recent results of commutative algebra and algebraic geometry concerning the representation of algebraic varieties as in­ tersections of the least possible number of hypersurfaces and- a closely related problem-with the most economical generation of ideals in Noetherian rings. The question of the equations needed to describe an algebraic variety was addressed by Kronecker in 1882. In the 1940s it was chiefly Perron who was interested in this question; his discussions with Severi made the problem known and contributed to sharpening the rei event concepts. Thanks to the general progress of commutative algebra many beautiful results in this circle of questions have been obtained, mainly after the solution of Serre's problem on projective modules. Because of their relatively elementary character they are especially suitable for an introduction to commutative algebra.

• Sales Rank: #178411 in Books
• Brand: Brand: Birkhäuser
• Published on: 1984-01-01
• Ingredients: Example Ingredients
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x .63" w x 6.14" l, 1.18 pounds
• Binding: Hardcover
• 238 pages

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"An excellent text for a student who wants to learn the basic facts from commutative algebra and algebraic geometry... Many examples and exercises complete the text."

―REVUE ROUMANIE DE MATHÉMATIQUES PURES ET APPLIQUÉES

"An excellent introduction to the subject... The center of gravity lies in commutative algebra, and this book can serve as a preparation for more advanced topics. The presentation is very clear and the theory is accompanied by numerous interesting exercises...This is a highly recommended text for students and lecturers."

―MATHEMATICA

"Outrageous as it may sound this is the first really introductory book written about the new algebraic geometry of the sixties. At last something that we can give our students without cautionary words, and where we ourselves can learn basic concepts that cut across the party lines of mathematics."

―Gian-Carlo Rota, formerly MIT

Language Notes
Text: English, German (translation)

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The present book is based on a course developed as partofthe large NSF-funded GatewayCoalitionInitiativeinEngineeringEducationwhichincludedCaseWest ern Reserve University, Columbia University, Cooper Union, Drexel University, Florida International University, New Jersey Institute ofTechnology, Ohio State University, University ofPennsylvania, Polytechnic University, and Universityof South Carolina. The Coalition aimed to restructure the engineering curriculum by incorporating the latest technological innovations and tried to attract more and betterstudents to engineering and science. Draftsofthis textbookhave been used since 1992instatisticscoursestaughtatCWRU, IndianaUniversity, Bloomington, and at the universities in Gottingen, Germany, and Grenoble, France. Another purpose of this project was to develop a courseware that would take advantage ofthe Electronic Learning Environment created by CWRUnet-the all fiber-optic Case Western Reserve University computer network, and its ability to let students run Mathematica experiments and projects in their dormitory rooms, and interactpaperlessly with the instructor. Theoretically, onecould try togothroughthisbook withoutdoing Mathematica experimentsonthecomputer, butitwouldbelikeplayingChopin's Piano Concerto in E-minor, or Pink Floyd's The Wall, on an accordion. One would get an idea ofwhatthe tune was without everexperiencing the full richness andpowerofthe entire composition, and the whole ambience would be miscued.

• Sales Rank: #2539236 in Books
• Brand: Brand: Birkhäuser
• Published on: 1998-11-01
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x 1.25" w x 6.14" l, 1.90 pounds
• Binding: Hardcover
• 509 pages

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"This is an innovative book... Well-constructed computer exercises with a bundled easily usable software package ‘Mathematica® Uncertain Virtual Worlds®’... The bibliographical notes that accompany each chapter…are clearly written with a keen eye toward encouraging students to enrich their understanding by pursuing additional reading…A lucidly written text and many well-designed computer experiments that enable students to simulate the whole process of some dynamic systems."  ―Technometrics

"Highly data-oriented, with an unusually large collection of real-life examples taken from industry and various scientific disciplines… The book departs from the standard fare, by [also] including detailed coverage of such contemporary topics as chaotic dynamical systems, the nature of randomness, computability and Kolmogorov complexity, encryption, ergodicity, entropy, and even fractals."  ―Short Book Reviews (Int’l Statistical Institute)

"The novelty of the book is the integration of ideas about statistics of random phenomena stemming from algorithmic computational complexity, classical probability theory and chaotic behavior in nonlinear systems, and the broad use of Mathematica in the exposition. Moreover, the examples of statistical problems used arise in real-life industrial and scientific lab situations and have been collected from the engineering and scientific literature, or through direct interaction with practicing engineers and scientists. The authors' goal is to give engineering and science students a forward-looking alternative to the usual introductory statistics courses...In summary, I find  Introductory statistics and random phenomena an excellent textbook, and I strongly recommend it as an introductory technical statistics course to engineering and science students who have had a basic programming course in computer science. I expect it to become a classic."   ―Mathematical Reviews

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• Sales Rank: #3805440 in Books
• Brand: Brand: University Alabama Press
• Published on: 2011-04-04
• Original language: English
• Number of items: 1
• Dimensions: 8.50" h x .40" w x 5.50" l, .40 pounds
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• Sales Rank: #6006104 in Books
• Brand: Brand: Birkhäuser
• Published on: 1992-02-07
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x .69" w x 6.14" l, 1.27 pounds
• Binding: Hardcover
• 266 pages

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