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Introduction to Analysis by William R. Wade (2009, Hardcover)

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PAPERBACK EDITION. § The Book is printed in English. § CD or Access code is not available unless stated for book. We would be glad to answer any of your queries. § Actual cover image is shown above.

About this product

Product Information

For one- or two-semester junior or senior level courses in Advanced Calculus, Analysis I, or Real Analysis. This text prepares students for future courses that use analytic ideas, such as real and complex analysis, partial and ordinary differential equations, numerical analysis, fluid mechanics, and differential geometry. This book is designed to challenge advanced students while encouraging and helping weaker students. Offering readability, practicality and flexibility, Wade presents fundamental theorems and ideas from a practical viewpoint, showing students the motivation behind the mathematics and enabling them to construct their own proofs. "

Product Identifiers

Publisher
Prentice Hall PTR
ISBN-10
0132296381
ISBN-13
9780132296380
eBay Product ID (ePID)
71579544

Product Key Features

Author
William R. Wade
Publication Name
Introduction to Analysis
Format
Hardcover
Language
English
Publication Year
2009
Type
Textbook
Number of Pages
696 Pages

Dimensions

Item Length
9.4in
Item Height
1.2in
Item Width
7.4in
Item Weight
40.6 Oz

Additional Product Features

Lc Classification Number
Qa300.W25 2010
Edition Number
4
Table of Content
Preface Part I. ONE-DIMENSIONAL THEORY 1. The Real Number System 1.1 Introduction 1.2 Ordered field axioms 1.3 Completeness Axiom 1.4 Mathematical Induction 1.5 Inverse functions and images 1.6 Countable and uncountable sets 2. Sequences in R 2.1 Limits of sequences 2.2 Limit theorems 2.3 Bolzano-Weierstrass Theorem 2.4 Cauchy sequences *2.5 Limits supremum and infimum 3. Continuity on R 3.1 Two-sided limits 3.2 One-sided limits and limits at infinity 3.3 Continuity 3.4 Uniform continuity 4. Differentiability on R 4.1 The derivative 4.2 Differentiability theorems 4.3 The Mean Value Theorem 4.4 Taylor's Theorem and l'Hôpital's Rule 4.5 Inverse function theorems 5 Integrability on R 5.1 The Riemann integral 5.2 Riemann sums 5.3 The Fundamental Theorem of Calculus 5.4 Improper Riemann integration *5.5 Functions of bounded variation *5.6 Convex functions 6. Infinite Series of Real Numbers 6.1 Introduction 6.2 Series with nonnegative terms 6.3 Absolute convergence 6.4 Alternating series *6.5 Estimation of series *6.6 Additional tests 7. Infinite Series of Functions 7.1 Uniform convergence of sequences 7.2 Uniform convergence of series 7.3 Power series 7.4 Analytic functions *7.5 Applications Part II. MULTIDIMENSIONAL THEORY 8. Euclidean Spaces 8.1 Algebraic structure 8.2 Planes and linear transformations 8.3 Topology of Rn 8.4 Interior, closure, boundary 9. Convergence in Rn 9.1 Limits of sequences 9.2 Heine-Borel Theorem 9.3 Limits of functions 9.4 Continuous functions *9.5 Compact sets *9.6 Applications 10. Metric Spaces 10.1 Introduction 10.2 Limits of functions 10.3 Interior, closure, boundary 10.4 Compact sets 10.5 Connected sets 10.6 Continuous functions 10.7 Stone-Weierstrass Theorem 11. Differentiability on Rn 11.1 Partial derivatives and partial integrals 11.2 The definition of differentiability 11.3 Derivatives, differentials, and tangent planes 11.4 The Chain Rule 11.5 The Mean Value Theorem and Taylor's Formula 11.6 The Inverse Function Theorem *11.7 Optimization 12. Integration on Rn 12.1 Jordan regions 12.2 Riemann integration on Jordan regions 12.3 Iterated integrals 12.4 Change of variables *12.5 Partitions of unity *12.6 The gamma function and volume 13. Fundamental Theorems of Vector Calculus 13.1 Curves 13.2 Oriented curves 13.3 Surfaces 13.4 Oriented surfaces 13.5 Theorems of Green and Gauss 13.6 Stokes's Theorem *14. Fourier Series *14.1 Introduction *14.2 Summability of Fourier series *14.3 Growth of Fourier coefficients *14.4 Convergence of Fourier series *14.5 Uniqueness References Answers and Hints to Exercises Subject Index Symbol Index *Enrichment section
Copyright Date
2010
Target Audience
College Audience
Topic
Calculus, Mathematical Analysis
Lccn
2009-023698
Dewey Decimal
515
Dewey Edition
21
Illustrated
Yes
Genre
Mathematics

All listings for this product

item 1 Introduction to Analysis by William R. Wade 4E NEW PAPERBACK
$26.90
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item 2 New.An Introduction to Analysis by William Wade 4th INTL ED
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item 3 New : An Introduction to Analysis by William Wade 4th INTL ED
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item 4 Introduction to Analysis 4e by William R. Wade INTERNATIONAL EDITION
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item 5 An Introduction to Analysis, 4th Edition - Hardcover
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item 6 An Introduction to Analysis (4th - Hardcover, by Wade William R. - Acceptable
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item 7 An Introduction to Analysis [4th Edition]
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5 out of 5 stars
by RlVzjUiKREa@Del...Sep 06, 2011
Great book for beginners. Easy to follow and understand. Good exercises.
I greatly benefited from this book. It made me capable of understanding new, abstract material necessary for a good performance in Analysis.
5 out of 5 stars
by elui24Mar 02, 2012
awesome product! great value for the money!
rented the book for a introductory real analysis course. as far as i know (which isn't very far), it's a great book for beginners attempting to delve into a difficult math course.
4 out of 5 stars
by R4UMKdzxSWq@Del...Oct 03, 2011
by grabthar's hammer....... what a savings...
It is very helpful and gives clear examples and counterexamples. The proof synopses could be more in depth, and the steps of the proof being outlined would be very helpful. But oh well.
5 out of 5 stars
by hus-7858Feb 14, 2023
amazon book
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Verified purchase: Yes | Condition: New

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Introduction to Analysis by William R. Wade (2009, Hardcover)

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Great book for beginners. Easy to follow and understand. Good exercises.

awesome product! great value for the money!

by grabthar's hammer....... what a savings...

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