This edition is a comprehensive introduction to the basic ideas of modern mathematical analysis. Coverage proceeds form the elementary level to advanced and research levels. Additions to this edition include Rademacher's theorem on differentiability of Lipschitz Functions, deeper formulas on change of variables in multiple integrals, and recent results on the extension of differentiable functions.
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Amazon Marketplace Buyers Beware,
By Karl Weierstrass (The Real Line) - See all my reviews
This review is from: Primer of Modern Analysis (Undergraduate Texts in Mathematics) (Hardcover)
I bought two copies of this supposedly Hardcover textbook from the Amazon Marketplace. Both sellers sent me cheap foreign bootleg paperback copies of this textbook, NOT the hardcover edition described in the main Amazon listing. So if you are buying one of the used copies (the cheap $10 copies, especially if they say it is coming from India) be aware that you are getting a cheap inferior imitation version of the book that, technically, is against Amazon rules to sell here.
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Inside This Book
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First Sentence:
The origin of calculus was the problem of finding the tangent to a curve. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
local parametric representation, regularized distance, disjoint sequence, graph domain, outer measure Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Proof Suppose, Proof According, Proof Take, Example Let, Proof Choose, Proof First, Proof Theorem, Proof Formula New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The origin of calculus was the problem of finding the tangent to a curve. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
local parametric representation, regularized distance, disjoint sequence, graph domain, outer measure Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Proof Suppose, Proof According, Proof Take, Example Let, Proof Choose, Proof First, Proof Theorem, Proof Formula New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 31
books:
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74
books
cite this book:
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- A Concrete Introduction to Higher Algebra, 2nd Edition by Lindsay N. Childs in Front Matter
- Linear Algebra (Oxford Science Publications) by Richard Kaye in Back Matter
- Calculus With Applications by Karl J. Smith in Front Matter
- Intermediate Real Analysis (Undergraduate Texts in Mathematics) by E. Fischer in Front Matter
- Elementary Probability Theory with Stochastic Processes (Undergraduate Texts in Mathematics) by Kai Lai Chung in Front Matter
See all 31 books this book cites
- Basic Topology (Undergraduate Texts in Mathematics) by M.A. Armstrong in Back Matter (1), and Back Matter (2)
- Differential Equations: An Introduction with Mathematica® (Undergraduate Texts in Mathematics) by Clay C. Ross in Back Matter
- Advanced Calculus: An Introduction to Modern Analysis (Pure and Applied Mathematics) by Voxman on page 186
- The Heritage of Thales (Undergraduate Texts in Mathematics / Readings in Mathematics) by W.S. Anglin in Back Matter
- Intermediate Calculus (Undergraduate Texts in Mathematics) by Murray H. Protter in Back Matter
See all 74 books citing this book
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