Problems in Mathematical Analysis: Real numbers, sequences, and series

Problems in Mathematical Analysis: Real numbers, sequences, and series
Author : Wiesława J. Kaczor
Publisher : American Mathematical Soc.
Total Pages : 380
Release : 2000
ISBN 10 : 9780821820506
ISBN 13 : 0821820508
Language : EN, FR, DE, ES & NL

Problems in Mathematical Analysis: Real numbers, sequences, and series Book Description:

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.

Problems in Mathematical Analysis: Real numbers, sequences, and series
Language: en
Pages: 380
Authors: Wiesława J. Kaczor
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: American Mathematical Soc.

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
Problems in Mathematical Analysis: Continuity and differentiation
Language: en
Pages: 398
Authors: Wiesława J. Kaczor
Categories: Mathematics
Type: BOOK - Published: 2001-01 - Publisher: American Mathematical Soc.

We learn by doing. We learn mathematics by doing problems. And we learn more mathematics by doing more problems. This is the sequel to Problems in Mathematical
Problems in Mathematical Analysis
Language: en
Pages: 232
Authors: Biler
Categories: Mathematics
Type: BOOK - Published: 2017-10-19 - Publisher: Routledge

Chapter 1 poses 134 problems concerning real and complex numbers, chapter 2 poses 123 problems concerning sequences, and so it goes, until in chapter 9 one enco
Problems in Mathematical Analysis: Integration
Language: en
Pages: 356
Authors: Wiesława J. Kaczor
Categories: MATHEMATICS
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

We learn by doing. We learn mathematics by doing problems. This is the third volume of Problems in Mathematical Analysis. The topic here is integration for real
Solving Problems in Mathematical Analysis, Part I
Language: en
Pages: 369
Authors: Tomasz Radożycki
Categories: Mathematics
Type: BOOK - Published: 2020-02-20 - Publisher: Springer Nature

This textbook offers an extensive list of completely solved problems in mathematical analysis. This first of three volumes covers sets, functions, limits, deriv
Solving Problems in Mathematical Analysis, Part II
Language: en
Pages: 384
Authors: Tomasz Radożycki
Categories: Mathematics
Type: BOOK - Published: 2020-02-22 - Publisher: Springer Nature

This textbook offers an extensive list of completely solved problems in mathematical analysis. This second of three volumes covers definite, improper and multid
Solving Problems in Mathematical Analysis, Part III
Language: en
Pages: 378
Authors: Tomasz Radożycki
Categories: Mathematics
Type: BOOK - Published: 2020-02-24 - Publisher: Springer Nature

This textbook offers an extensive list of completely solved problems in mathematical analysis. This third of three volumes covers curves and surfaces, condition
Problems in Real Analysis
Language: en
Pages: 462
Authors: Teodora-Liliana Radulescu
Categories: Mathematics
Type: BOOK - Published: 2009-05-29 - Publisher: Springer Science & Business Media

Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to p
Ill-posed Problems of Mathematical Physics and Analysis
Language: en
Pages: 290
Authors: Mikhail Mikha_lovich Lavrent_ev
Categories: Mathematics
Type: BOOK - Published: 1986-12-31 - Publisher: American Mathematical Soc.

Physical formulations leading to ill-posed problems Basic concepts of the theory of ill-posed problems Analytic continuation Boundary value problems for differe
Problems in Mathematical Analysis
Language: en
Pages: 398
Authors: Wiesława J. Kaczor
Categories: MATHEMATICS
Type: BOOK - Published: 2000 - Publisher:

We learn by doing. We learn mathematics by doing problems. And we learn more mathematics by doing more problems. This is the sequel to Problems in Mathematical