Augustin-Louis Cauchy

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Publisher : Springer Science & Business Media
ISBN 13 : 1461229960
Total Pages : 393 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Augustin-Louis Cauchy by : Bruno Belhoste

Download or read book Augustin-Louis Cauchy written by Bruno Belhoste and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: A great difficulty facing a biographer of Cauchy is that of delineating the curious interplay between the man, his times, and his scientific endeavors. Professor Belhoste has succeeded admirably in meeting this challenge and has thus written a vivid biography that is both readable and informative. His subject stands out as one of the most brilliant, versatile, and prolific fig ures in the annals of science. Nearly two hundred years have now passed since the young Cauchy set about his task of clarifying mathematics, extending it, applying it wherever possible, and placing it on a firm theoretical footing. Through Belhoste's work we are afforded a detailed, rather personalized picture of how a first rate mathematician worked at his discipline - his strivings, his inspirations, his triumphs, his failures, and above all, his conflicts and his errors.

Cauchy’s Cours d’analyse

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Publisher : Springer Science & Business Media
ISBN 13 : 1441905499
Total Pages : 416 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Cauchy’s Cours d’analyse by : Robert E. Bradley

Download or read book Cauchy’s Cours d’analyse written by Robert E. Bradley and published by Springer Science & Business Media. This book was released on 2010-01-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1821, Augustin-Louis Cauchy (1789-1857) published a textbook, the Cours d’analyse, to accompany his course in analysis at the Ecole Polytechnique. It is one of the most influential mathematics books ever written. Not only did Cauchy provide a workable definition of limits and a means to make them the basis of a rigorous theory of calculus, but he also revitalized the idea that all mathematics could be set on such rigorous foundations. Today, the quality of a work of mathematics is judged in part on the quality of its rigor, and this standard is largely due to the transformation brought about by Cauchy and the Cours d’analyse. For this translation, the authors have also added commentary, notes, references, and an index.

The Origins of Cauchy's Rigorous Calculus

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Publisher : Courier Corporation
ISBN 13 : 0486143740
Total Pages : 274 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Origins of Cauchy's Rigorous Calculus by : Judith V. Grabiner

Download or read book The Origins of Cauchy's Rigorous Calculus written by Judith V. Grabiner and published by Courier Corporation. This book was released on 2012-05-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.

Cauchy's Calcul Infinitésimal

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Publisher : Springer
ISBN 13 : 3030110362
Total Pages : 265 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Cauchy's Calcul Infinitésimal by : Dennis M. Cates

Download or read book Cauchy's Calcul Infinitésimal written by Dennis M. Cates and published by Springer. This book was released on 2019-04-03 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnique students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions. This translation maintains the same notation and terminology of Cauchy's original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources.

The Intelligible Universe

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Publisher : World Scientific
ISBN 13 : 9812794107
Total Pages : 368 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis The Intelligible Universe by : Julio Antonio Gonzalo

Download or read book The Intelligible Universe written by Julio Antonio Gonzalo and published by World Scientific. This book was released on 2008 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interesting book reviews WMAP's main results (2003) and discusses in detail how the accurate qualitative results for the ?age? of the universe and the Hubble constant were anticipated in an article published five years before in Acta Cosmologica, Krakow. In the final chapter on ?Cosmic Numbers?, it is shown that, as a result of the coincidence at decoupling time between atom formation and matter/radiation equality, a reasonable cosmic justification for the mass ratio of protons and electrons is obtained. /remove

Abstract Calculus

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Publisher : CRC Press
ISBN 13 : 1000432262
Total Pages : 396 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Abstract Calculus by : Francisco Javier Garcia-Pacheco

Download or read book Abstract Calculus written by Francisco Javier Garcia-Pacheco and published by CRC Press. This book was released on 2021-09-08 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract Calculus: A Categorical Approach provides an abstract approach to calculus. It is intended for graduate students pursuing PhDs in pure mathematics but junior and senior researchers in basically any field of mathematics and theoretical physics will also be interested. Any calculus text for undergraduate students majoring in engineering, mathematics or physics deals with the classical concepts of limits, continuity, differentiability, optimization, integrability, summability, and approximation. This book covers the exact same topics, but from a categorical perspective, making the classification of topological modules as the main category involved. Features Suitable for PhD candidates and researchers Requires prerequisites in set theory, general topology, and abstract algebra, but is otherwise self-contained Dr. Francisco Javier García-Pacheco is a full professor and Director of the Departmental Section of Mathematics at the College of Engineering of the University of Cádiz, Spain.

The Cauchy Method of Residues

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Publisher : Springer Science & Business Media
ISBN 13 : 9401120005
Total Pages : 206 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis The Cauchy Method of Residues by : Dragoslav S. Mitrinovic

Download or read book The Cauchy Method of Residues written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1, i. e. the monograph The Cauchy Method of Residues - Theory and Applications published by D. Reidel Publishing Company in 1984 is the only book that covers all known applications of the calculus of residues. They range from the theory of equations, theory of numbers, matrix analysis, evaluation of real definite integrals, summation of finite and infinite series, expansions of functions into infinite series and products, ordinary and partial differential equations, mathematical and theoretical physics, to the calculus of finite differences and difference equations. The appearance of Volume 1 was acknowledged by the mathematical community. Favourable reviews and many private communications encouraged the authors to continue their work, the result being the present book, Volume 2, a sequel to Volume 1. We mention that Volume 1 is a revised, extended and updated translation of the book Cauchyjev raeun ostataka sa primenama published in Serbian by Nau~na knjiga, Belgrade in 1978, whereas the greater part of Volume 2 is based upon the second Serbian edition of the mentioned book from 1991. Chapter 1 is introductory while Chapters 2 - 6 are supplements to the corresponding chapters of Volume 1. They mainly contain results missed during the preparation of Volume 1 and also some new results published after 1982. Besides, certain topics which were only briefly mentioned in Volume 1 are treated here in more detail.

Classics of Elastic Wave Theory

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Publisher : SEG Books
ISBN 13 : 1560801425
Total Pages : 10 pages
Book Rating : 4.5/5 (68 download)

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Book Synopsis Classics of Elastic Wave Theory by : Michael A. Pelissier

Download or read book Classics of Elastic Wave Theory written by Michael A. Pelissier and published by SEG Books. This book was released on 2007 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 16 classic essays from the 17th to the 21st centuries on aspects of elastic wave theory.

Combinatorial Reciprocity Theorems

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Publisher : American Mathematical Soc.
ISBN 13 : 147042200X
Total Pages : 325 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Combinatorial Reciprocity Theorems by : Matthias Beck

Download or read book Combinatorial Reciprocity Theorems written by Matthias Beck and published by American Mathematical Soc.. This book was released on 2018-12-12 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when evaluated at negative integers (and suitably normalized). Such combinatorial reciprocity theorems occur in connections with graphs, partially ordered sets, polyhedra, and more. Using the combinatorial reciprocity theorems as a leitmotif, this book unfolds central ideas and techniques in enumerative and geometric combinatorics. Written in a friendly writing style, this is an accessible graduate textbook with almost 300 exercises, numerous illustrations, and pointers to the research literature. Topics include concise introductions to partially ordered sets, polyhedral geometry, and rational generating functions, followed by highly original chapters on subdivisions, geometric realizations of partially ordered sets, and hyperplane arrangements.

The Calculus Gallery

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Publisher : Princeton University Press
ISBN 13 : 069118285X
Total Pages : 256 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Calculus Gallery by : William Dunham

Download or read book The Calculus Gallery written by William Dunham and published by Princeton University Press. This book was released on 2018-11-13 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth. Now with a new preface by the author, this book documents the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching—a story of genius triumphing over some of the toughest, subtlest problems imaginable. In touring The Calculus Gallery, we can see how it all came to be.

A First Course in Complex Analysis

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Publisher : Orthogonal Publishing L3c
ISBN 13 : 9781944325084
Total Pages : 214 pages
Book Rating : 4.3/5 (25 download)

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Book Synopsis A First Course in Complex Analysis by : Matthias Beck

Download or read book A First Course in Complex Analysis written by Matthias Beck and published by Orthogonal Publishing L3c. This book was released on 2018-09 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: A First Course in Complex Analysis was developed from lecture notes for a one-semester undergraduate course taught by the authors. For many students, complex analysis is the first rigorous analysis (if not mathematics) class they take, and these notes reflect this. The authors try to rely on as few concepts from real analysis as possible. In particular, series and sequences are treated from scratch.

Mathematical Methods for Scientists and Engineers

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Publisher : University Science Books
ISBN 13 : 9781891389245
Total Pages : 1188 pages
Book Rating : 4.3/5 (892 download)

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Book Synopsis Mathematical Methods for Scientists and Engineers by : Donald Allan McQuarrie

Download or read book Mathematical Methods for Scientists and Engineers written by Donald Allan McQuarrie and published by University Science Books. This book was released on 2003 with total page 1188 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Intended for upper-level undergraduate and graduate courses in chemistry, physics, math and engineering, this book will also become a must-have for the personal library of all advanced students in the physical sciences. Comprised of more than 2000 problems and 700 worked examples that detail every single step, this text is exceptionally well adapted for self study as well as for course use."--From publisher description.

Basic Real Analysis

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Publisher : Springer
ISBN 13 : 1493918419
Total Pages : 687 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Basic Real Analysis by : Houshang H. Sohrab

Download or read book Basic Real Analysis written by Houshang H. Sohrab and published by Springer. This book was released on 2014-11-15 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Who Gave You the Epsilon?

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Publisher : MAA
ISBN 13 : 9780883855690
Total Pages : 448 pages
Book Rating : 4.8/5 (556 download)

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Book Synopsis Who Gave You the Epsilon? by : Marlow Anderson

Download or read book Who Gave You the Epsilon? written by Marlow Anderson and published by MAA. This book was released on 2009-03-31 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Follows on from Sherlock Holmes in Babylon to take the history of mathematics through the nineteenth and twentieth centuries.

Contributions to the Founding of the Theory of Transfinite Numbers

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Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Contributions to the Founding of the Theory of Transfinite Numbers by : Georg Cantor

Download or read book Contributions to the Founding of the Theory of Transfinite Numbers written by Georg Cantor and published by . This book was released on 1911 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Course in Linear Algebra with Applications

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Publisher : World Scientific
ISBN 13 : 9814365440
Total Pages : 372 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis A Course in Linear Algebra with Applications by : Derek J S Robinson

Download or read book A Course in Linear Algebra with Applications written by Derek J S Robinson and published by World Scientific. This book was released on 2006-08-15 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the best-selling introduction to linear algebra. Presupposing no knowledge beyond calculus, it provides a thorough treatment of all the basic concepts, such as vector space, linear transformation and inner product. The concept of a quotient space is introduced and related to solutions of linear system of equations, and a simplified treatment of Jordan normal form is given. Numerous applications of linear algebra are described, including systems of linear recurrence relations, systems of linear differential equations, Markov processes, and the Method of Least Squares. An entirely new chapter on linear programing introduces the reader to the simplex algorithm with emphasis on understanding the theory behind it. The book is addressed to students who wish to learn linear algebra, as well as to professionals who need to use the methods of the subject in their own fields.

The Concise Oxford Dictionary of Mathematics

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Publisher : OUP Oxford
ISBN 13 : 019104461X
Total Pages : 545 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis The Concise Oxford Dictionary of Mathematics by : Christopher Clapham

Download or read book The Concise Oxford Dictionary of Mathematics written by Christopher Clapham and published by OUP Oxford. This book was released on 2014-05-22 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authoritative and reliable, this A-Z provides jargon-free definitions for even the most technical mathematical terms. With over 3,000 entries ranging from Achilles paradox to zero matrix, it covers all commonly encountered terms and concepts from pure and applied mathematics and statistics, for example, linear algebra, optimisation, nonlinear equations, and differential equations. In addition, there are entries on major mathematicians and on topics of more general interest, such as fractals, game theory, and chaos. Using graphs, diagrams, and charts to render definitions as comprehensible as possible, entries are clear and accessible. Almost 200 new entries have been added to this edition, including terms such as arrow paradox, nested set, and symbolic logic. Useful appendices follow the A-Z dictionary and include lists of Nobel Prize winners and Fields' medallists, Greek letters, formulae, and tables of inequalities, moments of inertia, Roman numerals, a geometry summary, additional trigonometric values of special angles, and many more. This edition contains recommended web links, which are accessible and kept up to date via the Dictionary of Mathematics companion website. Fully revised and updated in line with curriculum and degree requirements, this dictionary is indispensable for students and teachers of mathematics, and for anyone encountering mathematics in the workplace.