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The Darkness of the Present includes essays that collectively investigate the roles of anomaly and anachronism as they work to unsettle commonplace notions of the “contemporary” in the field of poetics. In the eleven essays of The Darkness of the Present, poet and critic Steve McCaffery argues that by approaching the past and the present as unified entities, the contemporary is made historical at the same time as the historical is made contemporary.
 McCaffery’s writings work against the urge to classify works by placing them in standard literary periods or disciplinary partitions. Instead, McCaffery offers a variety of insights into unusual and ingenious affiliations between poetic works that may have previously seemed distinctive. He questions the usual associations of originality and precedence. In the process, he repositions many texts within genealogies separate from the ones to which they are traditionally assigned.
 The chapters in The Darkness of the Present might seem to present an eclectic façade and can certainly be read independently. They are linked, however, by a common preoccupation reflected in the title of the book: the anomaly and the anachronism and the way their empirical emergence works to unsettle a steady notion of the “contemporary” or “new.”

• Sales Rank: #3034608 in Books
• Brand: Brand: University Alabama Press
• Published on: 2012-11-19
• Original language: English
• Number of items: 1
• Dimensions: 9.00" h x 1.00" w x 6.00" l, 1.05 pounds
• Binding: Paperback
• 296 pages

Features

• Used Book in Good Condition

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“The consistent strength of this collection is the mercurial manner with which McCaffery wends his way among disparate topics, making illuminating connections between wide-ranging resources. The frequency with which one comes across improbable alliances generates much of the pleasure of this text.”—Jed Rasula, author of The American Poetry Wax Museum: Reality Effects, 1940–1990, and Modernism and Poetic Inspiration: The Shadow Mouth

“This book raises important ethical/political issues for the practice of art in the twentieth century. The Darkness of the Present calls them to rigorous attention in a series of critical studies. It finishes in a deliberate move to stand back, in order to reflect on the issues from a cool critical vantage, like Tennyson’s poet at the end of The Palace of Art.”—Jerome McGann, author of Radiant Textuality: Literature after the World Wide Web and Are the Humanities Inconsequent?: Interpreting Marx’s Riddle of the Dog

About the Author
Steve McCaffery is the author of Prior to Meaning: The Protosemantic and Poetics and North of Intention: Critical Writings 1973–1986, and the coeditor of Imagining Language: An Anthology. 

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? Free Ebook Alabama Blast Furnaces (Library Alabama Classics), by Joseph H. Woodward II

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This work is the first and remains the only source of information on all blast furnaces built and operated in Alabama, from the first known charcoal furnace of 1815 (Cedar Creek Furnace in Franklin County) to the coke-fired giants built before the onset of the Great Depression. Woodward surveys the iron industry from the early, small local market furnaces through the rise of the iron industry in support of the Confederate war effort, to the giant internationally important industry that developed in the 1890s. The bulk of the book consists of individual illustrated histories of all blast furnaces ever constructed and operated in the state? furnaces that went into production and four that were built but never went into blast. Written to provide a record of every blast furnace built in Alabama from 1815 to 1940, this book was widely acclaimed and today remains one of the most quoted references on the iron and steel industry.

• Sales Rank: #359709 in Books
• Published on: 2006-10-15
• Original language: English
• Number of items: 1
• Dimensions: 9.25" h x .50" w x 6.13" l, .63 pounds
• Binding: Paperback
• 176 pages

Review
"Alabama Blast Furnaces fills in the missing parts of the epic story of the iron trade that set Alabama apart from all its sister states. At no place else in the world could all the ingredients needed to make iron - iron ore, limestone, and coal - be found in such close proximity.... The various ores and fossil fuels hidden by primordial upheavals within the valleys and ridges of Alabama's Appalachian Plateau invited investment in great centers of manufacturing. Due to lower manufacturing costs and reduced transportation needs that these mineral resources provided, new industrial cities like Birmingham, Bessemer, and Sheffield sprang to life." - From the Introduction"

About the Author

Joseph H. Woodward was a member of the celebrated Woodward family, the pioneers of Alabama’s iron and steel industry, and was an employee of the Woodward Iron Company, which prepared and published this work in Birmingham in 1940.

James R. Bennett is Commissioner of the State of Alabama Department of Labor, Chair of the Board or Trustees of Jacksonville State University, and author of Tannehill and the Growth of the Alabama Iron Industry.

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* Presents extensive surveys by van den Ban, Schlichtkrull, and Delorme of the recent progress in deriving the Plancherel theorem on reductive symmetric spaces

* Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, possibly even mathematical cosmology

* Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required

• Sales Rank: #5540215 in Books
• Brand: Brand: Birkhäuser Boston
• Published on: 2005-01-04
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x .50" w x 6.14" l, .93 pounds
• Binding: Hardcover
• 175 pages

Features

• Used Book in Good Condition

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"This book is a remarkable and highly commendable effort by three leading experts, Erik P. van den Ban, Henrik Schlichtkrull, and Patrick Delorme, to survey the fascinating progress made in the last decade on the Plancherel theorem for reductive symmetric spaces." ---Mathematical Reviews

"Well suited for both graduate students and researchers in semisimple Lie theory and neighbouring fields, and possibly even mathematical cosmology, Harmonic Analysis on Symmetric Spaces - General Plancherel Theorems  provides a broad, clearly focused examination of semisimple Lie groups and their integral importance and applications to research in many braches of mathematics and physics." ---L'Enseignement Mathématique

From the Back Cover

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature survey work and original results by well-established researchers in key areas of semisimple Lie theory.

Harmonic Analysis on Symmetric Spaces―General Plancherel Theorems presents extensive surveys by E.P. van den Ban, H. Schlichtkrull, and P. Delorme of the spectacular progress over the past decade in deriving the Plancherel theorem on reductive symmetric spaces.

Van den Ban’s introductory chapter explains the basic setup of a reductive symmetric space along with a careful study of the structure theory, particularly for the ring of invariant differential operators for the relevant class of parabolic subgroups. Advanced topics for the formulation and understanding of the proof are covered, including Eisenstein integrals, regularity theorems, Maass–Selberg relations, and residue calculus for root systems. Schlichtkrull provides a cogent account of the basic ingredients in the harmonic analysis on a symmetric space through the explanation and definition of the Paley–Wiener theorem. Approaching the Plancherel theorem through an alternative viewpoint, the Schwartz space, Delorme bases his discussion and proof on asymptotic expansions of eigenfunctions and the theory of intertwining integrals.

Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, possibly even mathematical cosmology, Harmonic Analysis on Symmetric Spaces―General Plancherel Theorems provides a broad, clearly focused examination of semisimple Lie groups and their integral importance and applications to research in many branches of mathematics and physics. Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required.

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* PDF Ebook Nonlinear Physics with Maple for Scientists and Engineers, by Richard H. Enns, George C. McGuire

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Philosophy of the Text This text presents an introductory survey of the basic concepts and applied mathematical methods of nonlinear science as well as an introduction to some simple related nonlinear experimental activities. Students in engineering, phys­ ics, chemistry, mathematics, computing science, and biology should be able to successfully use this book. In an effort to provide the reader with a cutting edge approach to one of the most dynamic, often subtle, complex, and still rapidly evolving, areas of modern research-nonlinear physics-we have made extensive use of the symbolic, numeric, and plotting capabilities of the Maple software sys­ tem applied to examples from these disciplines. No prior knowledge of Maple or computer programming is assumed, the reader being gently introduced to Maple as an auxiliary tool as the concepts of nonlinear science are developed. The CD-ROM provided with this book gives a wide variety of illustrative non­ linear examples solved with Maple. In addition, numerous annotated examples are sprinkled throughout the text and also placed on the CD. An accompanying set of experimental activities keyed to the theory developed in Part I of the book is given in Part II. These activities allow the student the option of "hands on" experience in exploring nonlinear phenomena in the REAL world. Although the experiments are easy to perform, they give rise to experimental and theoretical complexities which are not to be underestimated.

• Sales Rank: #2362810 in Books
• Brand: Brand: Birkhäuser
• Published on: 2000-05-11
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x 1.44" w x 6.14" l, 2.45 pounds
• Binding: Hardcover
• 661 pages

Features

• Used Book in Good Condition

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3 of 3 people found the following review helpful.
Clear,Concise,Fun
By Joseph J. Bendik
Nice book for professionals and first-year students. Nice graphics (via Maple). Good introduction to advanced non-linear applications - students should be able to find lots of interesting areas to explore. (be first!)

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Book by Cornish, Joe

• Sales Rank: #906710 in Books
• Brand: Brand: Amphoto Books
• Published on: 2003-04-01
• Released on: 2003-04-01
• Original language: English
• Number of items: 1
• Dimensions: .53" h x 9.42" w x 10.50" l,
• Binding: Paperback
• 160 pages

Features

• Used Book in Good Condition

Most helpful customer reviews

10 of 11 people found the following review helpful.
Amazing photographs. Amazing quality.
By windriver12
I spend so much time in book stores looking through photography books that it is rare these days for a book to grab my attention. One flip through this book, and I had to stop for a moment, sit down, and study closely each one of these photos.

The quality of these prints reproduced from large 4 x 5 inch negatives is unbelievable. It is like the first time you saw HD television after watching regular TV all your life.

Cornish's images are moody, often capturing the warm glow of sunrises and late afternoons. Besides each photo, Cornish explains the thought process and planning that was involved. At the end of the book there is a thumbnail of each photograph along the with the film, camera, lens, filter, shutter speed, and aperature used to shoot the photo.

If you are tired of the same old photography books showing the same places you have seen a hundred times over, then this book will knock your socks off.

26 of 32 people found the following review helpful.
Nice Pictures, but Not Great
By Conrad J. Obregon
This is a collection of Cornish's color landscape photographs taken around the world, mostly with a 4 by 5-inch view camera. Each picture is accompanied by a description of the circumstances under which the picture was taken. There is also a smaller picture taken of the same subject or at the same time that is contrasted with the larger photograph.
The photographer is clearly concerned with light in the landscape. Many pictures show the red glow of "magic hours" or reflections of water, or cloudy skies. Cornish's photographs are lovely, but there is nothing outstanding about them. Once upon a time this book might have been at the cutting edge. But we now live in a world where first-class landscapes are offered to us in every automobile advertisement so that to capture our eye, an image must be exceptional.
Nor is there any common theme among the landscapes that might lead you to look at them because you have an interest in the subject matter. I would have felt proud to have taken any of these pictures. However, I wouldn't expect many people to lay out good money for such a book when there are so many other outstanding works by world class photographers, unless they already owned everything by Ansel Adams or Galen Rowell or Art Wolfe.
I must confess that this book was not what I expected. The publisher, Amphoto Books, usually puts out "how-to" books, and I expected something like Galen Rowell's "Mountain Light" that would deal with using light to create better pictures while at the same time presenting a great portfolio. I am certain most serious landscape photographers would be highly interested in a new book on this subject. But the only way you are going to learn anything from this book is by analyzing each picture yourself at great length, and extracting some photographic principle from your analysis. To be fair, technical information is provided on each picture and the accompanying discussions occasionally present a few of the considerations in using light in landscapes, like the effect of long exposures and the special results of early morning and late day light. Unfortunately I don't find this information very educational for either the beginner or the more experienced photographer. For the beginner, I would recommend either John Shaw's "Nature Photography Field Guide" or his "Landscape Photography" (the former was recently printed and reflects the changes in technology of the last few years, but does not have quite as much detail about landscapes). The more experienced photographer will be more interested in "Fine Art Nature Photography: Advanced Techniques and the Creative Process" by Tony Sweet. Sweet's book also uses single pictures on a page with discussion, but the photos are extraordinary and the discussion instructive.

9 of 10 people found the following review helpful.
An excellent book on a way of 'seeing' the landscape
By Panorama
Joe Cornish has a growing reputation. Joe has been illustrating books and photographing the UK landscape for the National Trust of England and Wales for many years. After building his reputation in this way, he now focuses on landscape photography.
This collection of images gives the technical information that many photographers crave about each image. But more than that, it is a lesson in 'seeing'and can inspire you to gain confidence to develop your own way of seeing and to follow your own vision.
This is not a 'how to' book, but one that will inspire you because the way Joe has developed his own way of seeing and expressing that with the camera is so distinctive. I disagree entirely with the earlier review that gives this book only 3 stars. A photograph may be technically correct in its exposure and its time of day. But it is only as good in the eye of the beholder to the degree that it reflects your own taste. If it is not to the taste of the earlier reviewer, that view is to be entirely respected. But don't let that put you off looking at this book and making up your own mind. Joe really is just as artistic and able as William Neill, Jack Dykinga and any other of the top landscape photographers.

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^^ Download PDF Representation and Control of Infinite Dimensional Systems, by Alain Bensoussan, Giuseppe Da Prato, Michel C. Delfour, Sanjoy Mitter

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This unified, revised second edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite-dimensional systems. The original editions received outstanding reviews, yet this new edition is more concise and self-contained. New material has been added to reflect the growth in the field over the past decade. There is a unique chapter on semigroup theory of linear operators that brings together advanced concepts and techniques which are usually treated independently. The material on delay systems and structural operators has not yet appeared anywhere in book form.

• Sales Rank: #1755748 in Books
• Brand: Brand: Springer
• Published on: 2006-12-06
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x 1.31" w x 6.14" l, 2.08 pounds
• Binding: Hardcover
• 576 pages

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• ISBN13: 9780817644611
• Condition: Used - Very Good
• Notes: 100% Satisfaction Guarantee. Tracking provided on most orders. Buy with Confidence! Millions of books sold!

Review

"I found myself browsing almost every time I looked in the book to work on the review, distracted by some exposition of one item or another of fascinating material...What is presented [in the work] is presented well, and I will continue to find the book valuable as a reference. Such a good treatment of this material is extremely welcome. That was indeed the case for the well-received original two-volume version of 1992–1993, and is now again the case for this second edition."   ―Thomas I. Seidman, IEEE Control Systems Magazine (Review of the Second Edition)

"The monograph presents a broad review of the existing results in control theory of infinite-dimensional dynamical systems. Theoretical results are illustrated by many examples and additional comments. The monograph contains an extensive list of recent references concerning the theory of abstract linear systems. Finally, it should be pointed out that the monograph is the second edition of a two-volume monograph published by the same authors in 1993. Many results in the one-volume second edition are completely revised and corrected. Moreover, the second edition contains many new research results."   ―Zentralblatt MATH (Review of the Second Edition)

"We state at the outset that this book is a most welcome addition to the literature of this field, where it serves the need for a modern treatment on topics that only very recently have found a satisfactory solution. ...Many readers will appreciate the concise exposition.... The book makes a worthwhile effort to be accessible and relatively self-contained. [It] should prove to be a valuable source for mathematicians who want to learn more about aspects of deterministic control theory as well as theoretical engineers willing to learn the mathematical tools necessary to give precise formulations and solutions to problems arising from applications."   ―Mathematical Reviews (Review of Volume I of the First Edition)

"This book will undoubtedly prove [to be] a very valuable text to researchers familiar with finite-dimensional control theory and methods of functional analysis/semigroup theory who are interested in learning more about PDE systems and their control. This task is greatly facilitated by exploiting analogies with finite-dimensional theory and relying for the most part on operator/semigroup methods, thus reducing to a minimum the necessity of PDE background. The book presents, or refers to, the most recent and updated results in the field. For this reason, it should serve as an excellent asset to anyone pursuing a research career in the field."   ―Mathematical Reviews (Review of Volume II of the First Edition)

"This is a book which people in the field have been waiting for since the late seventies.... The difference [in this book] lies in the scope of the classes of systems which are covered, which is much wider than that covered in earlier texts.... This book is a welcome addition to the literature. It presents a unified, up-to-date treatment of the main approaches to the representation of partial and differential delay systems.... The book is recommended both as an advanced graduate text for mathematicians and as a valuable reference guide to the literature."   ―Journal of Mathematical Systems, Estimation, and Control (Review of Volume I of the First Edition)

From the Back Cover

"This book is a most welcome addition to the literature of this field, where it serves the need for a modern treatment on topics that only very recently have found a satisfactory solution.... Many readers will appreciate the concise exposition."

"Presents, or refers to, the most recent and updated results in the field. For this reason, it should serve as an excellent asset to anyone pursuing a research career in the field."

―Mathematical Reviews (reviews of Volumes I and II of the First Edition)

The quadratic cost optimal control problem for systems described by linear ordinary differential equations occupies a central role in the study of control systems both from a theoretical and design point of view. The study of this problem over an infinite time horizon shows the beautiful interplay between optimality and the qualitative properties of systems such as controllability, observability, stabilizability, and detectability. This theory is far more difficult for infinite dimensional systems such as those with time delays and distributed parameter systems.

This reorganized, revised, and expanded edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite dimensional systems. The book is structured into five parts. Part I reviews basic optimal control and game theory of finite dimensional systems, which serves as an introduction to the book. Part II deals with time evolution of some generic controlled infinite dimensional systems and contains a fairly complete account of semigroup theory. It incorporates interpolation theory and exhibits the role of semigroup theory in delay differential and partial differential equations. Part III studies the generic qualitative properties of controlled systems. Parts IV and V examine the optimal control of systems when performance is measured via a quadratic cost. Boundary control of parabolic and hyperbolic systems and exact controllability are also covered.

New material and original features of the Second Edition:

* Part I on finite dimensional controlled dynamical systems contains new material: an expanded chapter on the control of linear systems including a glimpse into H-infinity theory and dissipative systems, and a new chapter on linear quadratic two-person zero-sum differential games.

* A unique chapter on semigroup theory and interpolation of linear operators brings together advanced concepts and techniques that are usually treated independently.

* The material on delay systems and structural operators is not available elsewhere in book form.

Control of infinite dimensional systems has a wide range and growing number of challenging applications. This book is a key reference for anyone working on these applications, which arise from new phenomenological studies, new technological developments, and more stringent design requirements. It will be useful for mathematicians, graduate students, and engineers interested in the field and in the underlying conceptual ideas of systems and control.

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Devoted to the history of general relativity, this text provides reviews from scholars all over the world. Many of the papers originated at the Third International Conference on the History of General Relativity, held at the University of Pittsburgh in the summer of 1991. Topics covered include: disputes with Einstein; the empirical basis of general relativity; variational principles in general relativity; the reception and development of general relativity; and cosmology and general relativity.

• Sales Rank: #4330712 in Books
• Brand: Brand: Birkhäuser
• Published on: 1993-12-01
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x 1.00" w x 6.14" l, 1.78 pounds
• Binding: Hardcover
• 432 pages

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• Used Book in Good Condition

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- Qa faut avouer, dit Trouscaillon qui, dans cette simple ellipse, utilisait hyperboliquement Ie cercle vicieux de la parabole. - Bun, dit Ie Sanctimontronais, j'y vais. (R. Queneau, Zazie dans Ie metru, Chapitre X.) L'etude des groupes infinis a toujours ete en relation etroite avec des considerations geometriques: etude des deplacements de l'espace euclidien R3 (Jordan, 1868), programme d'Erlangen (Klein, 1872), travaux de Lie et Poincare. L'approche combinatoire des groupes, fondee sur la notion de presentation, remonte a Dyck (1882) mais doit son developpement en premier lieu a Dehn (des 1910) (voir [ChM]). Les resultats decisifs de Dehn sur les groupes fondamentaux des sur faces sont marques par un ingredient geometrique crucial qui est la couTbuTe negati.ve. C'est ce me-me ingredient qui est ala base du tra vail fondamental de Gromov sur les groupes hyperboliques, conune on Ie voit esquisse dans [Gr2, Gr4] et repris dans [Gr5]. Nous sonuues cOllvaincus que l'importance de ce travail dans Ie developpement. de la theorie des groupes est comparable it ceux deja cites de Klein et Dehll.

• Sales Rank: #1378731 in Books
• Published on: 1990-01-01
• Released on: 1990-01-01
• Original language: English
• Number of items: 1
• Dimensions: 7.99" h x .68" w x 5.00" l, .69 pounds
• Binding: Paperback
• 287 pages

Language Notes
Text: English, French

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Recent years have witnessed a surge of activity in the field of dynamic both theory and applications. Theoretical as well as practical games, in problems in zero-sum and nonzero-sum games, continuous time differential and discrete time multistage games, and deterministic and stochastic games games are currently being investigated by researchers in diverse disciplines, such as engineering, mathematics, biology, economics, management science, and political science. This surge of interest has led to the formation of the International Society of Dynamic Games (ISDG) in 1990, whose primary goal is to foster the development of advanced research and applications in the field of game theory. One important activity of the Society is to organize biannually an international symposium which aims at bringing together all those who contribute to the development of this active field of applied science. In 1992 the symposium was organized in Grimentz, Switzerland, under the supervision of an international scientific committee and with the help of a local organizing committee based at University of Geneva. This book, which is the first volume in the new Series, Annals of the International Society of Dynamic Games (see the Preface to the Series), is based on presentations made at this symposium. It is however more than a book of proceedings for a conference. Every paper published in this volume has passed through a very selective refereeing process, as in an archival technical journal.

• Sales Rank: #13706118 in Books
• Brand: Brand: Birkhäuser
• Published on: 1994-05-03
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x .94" w x 6.14" l, 1.71 pounds
• Binding: Hardcover
• 400 pages

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* Free Ebook Basic Real Analysis, by Houshang H. Sohrab

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Basic Real Analysis demonstrates the richness of real analysis, giving students an introduction both to mathematical rigor and to the deep theorems and counter examples that arise from such rigor. In this modern and systematic text, all the touchstone results and fundamentals are carefully presented in a style that requires little prior familiarity with proofs or mathematical language. With its many examples, exercises and broad view of analysis, this work is ideal for senior undergraduates and beginning graduate students, either in the classroom or for self-study.

• Sales Rank: #3159755 in Books
• Brand: Brand: Birkhäuser
• Published on: 2003-06-03
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x 1.25" w x 6.14" l, 2.05 pounds
• Binding: Hardcover
• 568 pages

Features

• Used Book in Good Condition

Review

"Students who find Goffman's ‘Real Functions’ (1953), Halmos's ‘Measure Theory’ (1950), Hewitt and Stromberg's ‘Real and Abstract Analysis’ (1965), Lang's (1969) or Royden's ‘Real Analysis’ (1963), or Rudin's (1973) or Yosida's ‘Functional Analysis’ (1965) to be too hard, or too easy, may find Sohrab's presentation just right. Problems and exercises abound; an appendix constructs the reals as the Cauchy (sequential) completion of the rationals; references are copious and judiciously chosen; and a detailed index brings up the rear. . . . Recommended."

—CHOICE

"This book is intended as a text for a one-year course for senior undergraduates or beginning graduate students, though it seems to the reviewer that it contains more than enough material for one year's study. . . . The quality of the exposition is good: strong and complete versions of theorems are preferred, and the material is organised so that all the proofs are of easily manageable length; motivational comments are helpful, and there are plenty of illustrative examples. The reader is strongly encouraged to learn by doing: exercises are sprinkled liberally throughout the text and each chapter ends with a set of problems, about 650 in all, some of which are of considerable intrinsic interest."

—MATHEMATICAL REVIEWS

"The book is a clear and well structured introduction to real analysis aimed at senior undergraduate and beginning graduate students. . . . The author managed to confine within a reasonable size book, all the basic concepts in real analysis and also some developed topics . . . The text contains carefully worked out examples which contribute motivating and helping to understand the theory. There is also an excellent selection of exercises within the text and problem sections at the end of each chapter. In fact this textbook can serve as a source of examples and exercises in real analysis. . . . This book can be highly recommended as a good reference on real analysis."

—ZENTRALBLATT MATH

From the Back Cover

This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language.

The text is a comprehensive and largely self-contained introduction to the theory of real-valued functions of a real variable. The chapters on Lebesgue measure and integral have been rewritten entirely and greatly improved. They now contain Lebesgue’s differentiation theorem as well as his versions of the Fundamental Theorem(s) of Calculus.

With expanded chapters, additional problems, and an expansive solutions manual, Basic Real Analysis, Second Edition, is ideal for senior undergraduates and first-year graduate students, both as a classroom text and a self-study guide.

Reviews of first edition:

The book is a clear and well-structured introduction to real analysis aimed at senior undergraduate and beginning graduate students. The prerequisites are few, but a certain mathematical sophistication is required. ... The text contains carefully worked out examples which contribute motivating and helping to understand the theory. There is also an excellent selection of exercises within the text and problem sections at the end of each chapter. In fact, this textbook can serve as a source of examples and exercises in real analysis.

―Zentralblatt MATH

The quality of the exposition is good: strong and complete versions of theorems are preferred, and the material is organised so that all the proofs are of easily manageable length; motivational comments are helpful, and there are plenty of illustrative examples. The reader is strongly encouraged to learn by doing: exercises are sprinkled liberally throughout the text and each chapter ends with a set of problems, about 650 in all, some of which are of considerable intrinsic interest.

―Mathematical Reviews

[This text] introduces upper-division undergraduate or first-year graduate students to real analysis.... Problems and exercises abound; an appendix constructs the reals as the Cauchy (sequential) completion of the rationals; references are copious and judiciously chosen; and a detailed index brings up the rear.

―CHOICE Reviews

About the Author

Houshang H. Sohrab is a Professor of Mathematics at Towson University.

Most helpful customer reviews

20 of 20 people found the following review helpful.
Thorough treatment of undergraduate analysis
By Stephen Desalvo
I first learned analysis using (baby) Rudin. I had the worst instructor and had a hard time making the leap from calculus courses to mature mathematical topics.

Now that I'm in graduate school I need to have a solid background in analysis and fill in the gaps, and I needed a book on analysis that I could study on my own. This book is perfect! It assumes no real mathematical maturity (though perhaps I am biased since by now I have developed some) and takes INCREMENTAL STEPS to introducing new material.

Let me repeat. INCREMENTAL STEPS. It doesn't just throw you into a proof like Rudin without any examples and without any intuition. Most of the theorems and new definitions are complemented with concrete examples, most of which appeal to the real line and baby calculus concepts.

The other important aspect of the book is its breadth. Rudin is a great reference for the main results in analysis, but this book has a breadth of topics that I haven't seen anywhere else, and I've looked! It is very THOROUGH.

It also includes a few chapters on measure theory and probability, which is a definite plus.

If you're looking for an analysis textbook that is self-explanatory or even a reference book (I've used it for that too!) then this is it! I wish they had used this textbook in my undergraduate courses.

(My excitement over this book is after having spent quite a lot of time studying different analysis texts and not really "getting it." I'm finally starting to get it after reading this book. Thank you Sohrab for writing it!)

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