Problems in mathematical analysis- I : real numbers, sequences and series

By: W. J. KaczorContributor(s): M. T. NowakMaterial type: TextTextSeries: Student Mathematical Libary ; Vol. 4Publication details: Rhode Island: American Mathematical Society, [c2000]Description: 380 pISBN: 9780821848548Subject(s): MathematicsLOC classification: QA300
Contents:
Problems Chapter 1. Real numbers Chapter 2. Sequence of real numbers Chapter 3. Series of real numbers Solutions Chapter 1. Real numbers Chapter 2. Sequences of real numbers Chapter 3. Series of real numbers
Summary: This book is the first volume of a series of books of problems in mathematical analysis. It is mainly intended for students studying the basic principles of analysis. However, given its organization, level, and selection of problems, it would also be an ideal choice for tutorial or problem-solving seminars, particularly those geared toward the Putnam exam. The volume is also suitable for self-study.The book covers three topics: real numbers, sequences, and series, and is divided into two parts: exercises and/or problems, and solutions. Specific topics covered in this volume include the following: basic properties of real numbers, continued fractions, monotonic sequences, limits of sequences, Stolz's theorem, summation of series, tests for convergence, double series, arrangement of series, Cauchy product, and infinite products.---Summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 5 QA300 (Browse shelf (Opens below)) Available Billno:IN 003 582; Billdate: 2018-01-11 00971
Total holds: 0

Problems
Chapter 1. Real numbers
Chapter 2. Sequence of real numbers
Chapter 3. Series of real numbers

Solutions
Chapter 1. Real numbers
Chapter 2. Sequences of real numbers
Chapter 3. Series of real numbers

This book is the first volume of a series of books of problems in mathematical analysis. It is mainly intended for students studying the basic principles of analysis. However, given its organization, level, and selection of problems, it would also be an ideal choice for tutorial or problem-solving seminars, particularly those geared toward the Putnam exam. The volume is also suitable for self-study.The book covers three topics: real numbers, sequences, and series, and is divided into two parts: exercises and/or problems, and solutions. Specific topics covered in this volume include the following: basic properties of real numbers, continued fractions, monotonic sequences, limits of sequences, Stolz's theorem, summation of series, tests for convergence, double series, arrangement of series, Cauchy product, and infinite products.---Summary provided by publisher

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