Problems in Mathematical Analysis I (Student Mathematical Library)

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9780821820506: Problems in Mathematical Analysis I (Student Mathematical Library)

We learn by doing. We learn mathematics by doing problems. 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.

Each section of the book begins with relatively simple exercises, yet may also contain quite challenging problems. Very often several consecutive exercises are concerned with different aspects of one mathematical problem or theorem. This presentation of material is designed to help student comprehension and to encourage them to ask their own questions and to start research. The collection of problems in the book is also intended to help teachers who wish to incorporate the problems into lectures. Solutions for all the problems are provided.

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.

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Review:

"A valuable resource." ---- American Mathematical Monthly

"Would be an ideal choice for tutorial or problem-solving seminars. The volume is also suitable for self-study ... presentation of material is designed to help student comprehension and to encourage them to ask their own questions and to start research ... a really useful book for practice in mathematical analysis." ---- Zentralblatt MATH

"Belongs to the great tradition of Eastern European problem books ... if you love mathematics and are serious about understanding analysis, this book is a must." ---- MAA Online

"Sobre este título" puede pertenecer a otra edición de este libro.

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Descripción 2000. Soft cover. Estado de conservación: New. This book is BRAND NEW Soft cover International edition with black and white printing. ISBN number & cover page may be different but contents identical to the US edition word by word. Book is in English language. Nº de ref. de la librería UN-STOCK-UPIN-1181

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Descripción Orient Blackswan, 2012. PB. Estado de conservación: New. New. International edition. Different ISBN and Cover image but contents are same as US edition. Book is in English Language. Perfect condition. Customer satisfaction our priority. Nº de ref. de la librería shadhya20062017-2732

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Kaczor, W. J.;Nowak, M. T.
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Descripción Providence, Rhode Island, U.S.A.: Amer Mathematical Society, 2000. Soft cover. Estado de conservación: New. This book is BRAND NEW Soft cover International edition with black and white printing. ISBN number and cover page may be different but contents identical to the US edition word by word. Book is in English language. Nº de ref. de la librería up1151

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W. J. Kaczor; M. T. Nowak
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Descripción American Mathematical Society, 2000. Paperback. Estado de conservación: New. Brand new. We distribute directly for the publisher. We learn by doing. We learn mathematics by doing problems. 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.Each section of the book begins with relatively simple exercises, yet may also contain quite challenging problems. Very often several consecutive exercises are concerned with different aspects of one mathematical problem or theorem. This presentation of material is designed to help student comprehension and to encourage them to ask their own questions and to start research. The collection of problems in the book is also intended to help teachers who wish to incorporate the problems into lectures. Solutions for all the problems are provided.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.Also available from the AMS are Problems in Mathematical Analysis II and Problems in Analysis III in the Student Mathematical Library series. Nº de ref. de la librería 1006100161

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W. J. Kaczor, M. T. Nowak
Editorial: American Mathematical Society, United States (2000)
ISBN 10: 0821820508 ISBN 13: 9780821820506
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The Book Depository
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Descripción American Mathematical Society, United States, 2000. Paperback. Estado de conservación: New. Language: English . Brand New Book. We learn by doing. We learn mathematics by doing problems. 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. Each section of the book begins with relatively simple exercises, yet may also contain quite challenging problems. Very often several consecutive exercises are concerned with different aspects of one mathematical problem or theorem.This presentation of material is designed to help student comprehension and to encourage them to ask their own questions and to start research. The collection of problems in the book is also intended to help teachers who wish to incorporate the problems into lectures. Solutions for all the problems are provided. 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. Also available from the AMS are Problems in Mathematical Analysis II and Problems in Analysis III in the Student Mathematical Library series. Nº de ref. de la librería AAN9780821820506

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