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9780821847879

Introduction to Analysis (Pure and Applied Undergraduate Texts)

Edward D. Gaughan

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Introduction to Analysis is designed to bridge the gap between the intuitive calculus usually offered at the undergraduate level and the sophisticated analysis courses the student encounters at the graduate level. In this book the student is given the vocabulary and facts necessary for further study in analysis. The course for which it is designed is usually offered at the junior level, and it is assumed that the student has little or no previous experience with proofs in analysis. A considerable amount of time is spent motivating the theorems and proofs and developing the reader's intuition. Of course, that intuition must be tempered with the realization that rigorous proofs are required for theorems. The topics are quite standard: convergence of sequences, limits of functions, continuity, differentiation, the Riemann integral, infinite series, power series, and convergence of sequences of functions. Many examples are given to illustrate the theory, and exercises at the end of each chapter are keyed to each section. Also, at the end of each section, one finds several Projects. The purpose of a Project is to give the reader a substantial mathematical problem and the necessary guidance to solve that problem. A Project is distinguished from an exercise in that the solution of a Project is a multi-step process requiring assistance for the beginner student.

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Ph.D., University of Kansas

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Edward D. Gaughan Author
Published by American Mathematical Society (2009)
ISBN 10: 0821847872 ISBN 13: 9780821847879
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Book Description American Mathematical Society, 2009. Hardcover. Book Condition: New. 5th Revised edition. Brand new. We distribute directly for the publisher. Introduction to Analysis is designed to bridge the gap between the intuitive calculus usually offered at the undergraduate level and the sophisticated analysis courses the student encounters at the graduate level. In this book the student is given the vocabulary and facts necessary for further study in analysis. The course for which it is designed is usually offered at the junior level, and it is assumed that the student has little or no previous experience with proofs in analysis. A considerable amount of time is spent motivating the theorems and proofs and developing the reader's intuition. Of course, that intuition must be tempered with the realization that rigorous proofs are required for theorems. The topics are quite standard: convergence of sequences, limits of functions, continuity, differentiation, the Riemann integral, infinite series, power series, and convergence of sequences of functions. Many examples are given to illustrate the theory, and exercises at the end of each chapter are keyed to each section. Also, at the end of each section, one finds several Projects. The purpose of a Project is to give the reader a substantial mathematical problem and the necessary guidance to solve that problem. A Project is distinguished from an exercise in that the solution of a Project is a multi-step process requiring assistance for the beginner student. Bookseller Inventory # 1006290213

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Edward D. Gaughan Author
Published by American Mathematical Society, United States (2009)
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Book Description American Mathematical Society, United States, 2009. Hardback. Book Condition: New. 5th Revised edition. 267 x 183 mm. Language: English Brand New Book. Introduction to Analysis is designed to bridge the gap between the intuitive calculus usually offered at the undergraduate level and the sophisticated analysis courses the student encounters at the graduate level. In this book the student is given the vocabulary and facts necessary for further study in analysis. The course for which it is designed is usually offered at the junior level, and it is assumed that the student has little or no previous experience with proofs in analysis. A considerable amount of time is spent motivating the theorems and proofs and developing the reader s intuition. Of course, that intuition must be tempered with the realization that rigorous proofs are required for theorems. The topics are quite standard: convergence of sequences, limits of functions, continuity, differentiation, the Riemann integral, infinite series, power series, and convergence of sequences of functions. Many examples are given to illustrate the theory, and exercises at the end of each chapter are keyed to each section. Also, at the end of each section, one finds several Projects. The purpose of a Project is to give the reader a substantial mathematical problem and the necessary guidance to solve that problem. A Project is distinguished from an exercise in that the solution of a Project is a multi-step process requiring assistance for the beginner student. Bookseller Inventory # AAN9780821847879

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Edward D. Gaughan Author
Published by American Mathematical Society, United States (2009)
ISBN 10: 0821847872 ISBN 13: 9780821847879
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Book Description American Mathematical Society, United States, 2009. Hardback. Book Condition: New. 5th Revised edition. 267 x 183 mm. Language: English Brand New Book. Introduction to Analysis is designed to bridge the gap between the intuitive calculus usually offered at the undergraduate level and the sophisticated analysis courses the student encounters at the graduate level. In this book the student is given the vocabulary and facts necessary for further study in analysis. The course for which it is designed is usually offered at the junior level, and it is assumed that the student has little or no previous experience with proofs in analysis. A considerable amount of time is spent motivating the theorems and proofs and developing the reader s intuition. Of course, that intuition must be tempered with the realization that rigorous proofs are required for theorems. The topics are quite standard: convergence of sequences, limits of functions, continuity, differentiation, the Riemann integral, infinite series, power series, and convergence of sequences of functions. Many examples are given to illustrate the theory, and exercises at the end of each chapter are keyed to each section. Also, at the end of each section, one finds several Projects. The purpose of a Project is to give the reader a substantial mathematical problem and the necessary guidance to solve that problem. A Project is distinguished from an exercise in that the solution of a Project is a multi-step process requiring assistance for the beginner student. Bookseller Inventory # AAN9780821847879

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Edward D. Gaughan Author
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Book Description American Mathematical Society. Hardback. Book Condition: new. BRAND NEW, Introduction to Analysis (5th Revised edition), Edward D. Gaughan, Introduction to Analysis is designed to bridge the gap between the intuitive calculus usually offered at the undergraduate level and the sophisticated analysis courses the student encounters at the graduate level. In this book the student is given the vocabulary and facts necessary for further study in analysis. The course for which it is designed is usually offered at the junior level, and it is assumed that the student has little or no previous experience with proofs in analysis. A considerable amount of time is spent motivating the theorems and proofs and developing the reader's intuition. Of course, that intuition must be tempered with the realization that rigorous proofs are required for theorems. The topics are quite standard: convergence of sequences, limits of functions, continuity, differentiation, the Riemann integral, infinite series, power series, and convergence of sequences of functions. Many examples are given to illustrate the theory, and exercises at the end of each chapter are keyed to each section. Also, at the end of each section, one finds several Projects. The purpose of a Project is to give the reader a substantial mathematical problem and the necessary guidance to solve that problem. A Project is distinguished from an exercise in that the solution of a Project is a multi-step process requiring assistance for the beginner student. Bookseller Inventory # B9780821847879

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Book Description American Mathematical Society, 2009. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service!. Bookseller Inventory # ABE_book_new_0821847872

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Book Description American Mathematical Society, 2009. Hardcover. Book Condition: New. Bookseller Inventory # SONG0821847872

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Book Description American Mathematical Society, 2009. Hardback. Book Condition: NEW. 9780821847879 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # 630709

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Book Description American Mathematical Society, 2009. Hardcover. Book Condition: Brand New. 5th edition. 240 pages. 9.30x6.30x0.80 inches. In Stock. Bookseller Inventory # __0821847872

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