The Way Of Analysis
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The Way of Analysis
Author | : Robert S. Strichartz |
Publsiher | : Jones & Bartlett Learning |
Total Pages | : 764 |
Release | : 2000 |
Genre | : Computers |
ISBN | : 0763714976 |
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The Way of Analysis gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction of the Lebesgue integral. The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Additionally, there are three chapters on application of analysis, ordinary differential equations, Fourier series, and curves and surfaces to show how the techniques of analysis are used in concrete settings.
The Way of Analysis
Author | : Robert S. Strichartz |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 1982 |
Genre | : Mathematical analysis |
ISBN | : OCLC:63580711 |
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Understanding Analysis
Author | : Stephen Abbott |
Publsiher | : Springer Science & Business Media |
Total Pages | : 269 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9780387215068 |
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This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.
Real Analysis
Author | : Gerald B. Folland |
Publsiher | : John Wiley & Sons |
Total Pages | : 309 |
Release | : 2013-06-11 |
Genre | : Mathematics |
ISBN | : 9781118626399 |
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An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory. This edition is bolstered in content as well as in scope-extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include: * Revised material on the n-dimensional Lebesgue integral. * An improved proof of Tychonoff's theorem. * Expanded material on Fourier analysis. * A newly written chapter devoted to distributions and differential equations. * Updated material on Hausdorff dimension and fractal dimension.
Foundations of Analysis
Author | : Joseph L. Taylor |
Publsiher | : American Mathematical Soc. |
Total Pages | : 411 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 9780821889848 |
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Foundations of Analysis has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum. The second is to present a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system. The presentation is both thorough and concise, with simple, straightforward explanations. The exercises differ widely in level of abstraction and level of difficulty. They vary from the simple to the quite difficult and from the computational to the theoretical. Each section contains a number of examples designed to illustrate the material in the section and to teach students how to approach the exercises for that section. --Book cover.
Elementary Analysis
Author | : Kenneth A. Ross |
Publsiher | : CUP Archive |
Total Pages | : 192 |
Release | : 2014-01-15 |
Genre | : Mathematics |
ISBN | : 9182736450XXX |
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How We Got from There to Here
Author | : Robert Rogers |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 2014 |
Genre | : Electronic Book |
ISBN | : OCLC:1198661665 |
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Foundations of Analysis
Author | : Edmund Landau |
Publsiher | : Unknown |
Total Pages | : 142 |
Release | : 2021-02 |
Genre | : Electronic Book |
ISBN | : 1950217086 |
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Natural numbers, zero, negative integers, rational numbers, irrational numbers, real numbers, complex numbers, . . ., and, what are numbers? The most accurate mathematical answer to the question is given in this book.