This book is intended to serve as a textbook for an introductory course in mathematical analysis. In preliminary form it has been used in this way at the University of Michigan, Indiana University, and Texas A&M University. The book addresses the needs of a beginning graduate student, that is a student who has completed an undergraduate program with a mathematics major.
An Introduction to Analysis (Graduate Texts in Mathematics)
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5.0 out of 5 stars
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This review is from: An Introduction to Analysis (Graduate Texts in Mathematics) (Hardcover)
This is an excellent book on fundamentals of analysis. The good thing about this book are the problems at the end of each chapter. They are mostly challenging problems and a lot of 'hints' are provided.
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Inside This Book
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First Sentence:
We assume the reader to be familiar with the basic concepts of set and element (or member or point) of a set, as well as with the idea of a subset of a set, and the notions of union and intersection of a collection of sets. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
piecewise linear with respect, topology inversely induced, piecewise linear extension, linear space isomorphism, arbitrary nonempty collection, arbitrary indexed family, topological base, linear submanifold, sesquilinear functional, adherent point, bounded nonempty subsets, same scalar field, dyadic fractions, normal topological space, neighborhood filter, linear parametrization, filter base, cellular partition, order isomorphism, same cardinal number, indiscrete topology, order topology, monotone increasing sequence, order isomorphic, punctured neighborhood New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
We assume the reader to be familiar with the basic concepts of set and element (or member or point) of a set, as well as with the idea of a subset of a set, and the notions of union and intersection of a collection of sets. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
piecewise linear with respect, topology inversely induced, piecewise linear extension, linear space isomorphism, arbitrary nonempty collection, arbitrary indexed family, topological base, linear submanifold, sesquilinear functional, adherent point, bounded nonempty subsets, same scalar field, dyadic fractions, normal topological space, neighborhood filter, linear parametrization, filter base, cellular partition, order isomorphism, same cardinal number, indiscrete topology, order topology, monotone increasing sequence, order isomorphic, punctured neighborhood 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 100
books:
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100
books
cite this book:
See all 100 books citing this book
- Cyclotomic Fields (Graduate Texts in Mathematics) by S. Lang in Front Matter, Back Matter (1), and Back Matter (2)
- Linear Algebra: Supplementary Notes & Problems by E. L. Cohen in Front Matter, and Back Matter
- Elliptic Curves: Diophantine Analysis (Grundlehren der mathematischen Wissenschaften) by S. Lang in Back Matter (1), and Back Matter (2)
- An Introduction to Algebraic Topology (Graduate Texts in Mathematics) by Joseph J. Rotman in Back Matter (1), and Back Matter (2)
- The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) (v. 106) by Joseph H. Silverman in Back Matter (1), and Back Matter (2)
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- Proofs and Fundamentals: A First Course in Abstract Mathematics by Ethan D. Bloch in Back Matter
- Galois Theory (Graduate Texts in Mathematics) by Harold M. Edwards in Back Matter
- 1,001 Low-Fat Vegetarian Recipes: Delicious, Easy-to-Make, Healthy Meals for Everyone by Sue Spitler on page 197
- Optima and Equilibria: An Introduction to Nonlinear Analysis (Graduate Texts in Mathematics) by Jean-Pierre Aubin in Back Matter
- Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11) (v. 1) by John B Conway in Back Matter
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