TY - BOOK AU - W. J. Kaczor AU - M. T. Nowak TI - Problems in mathematical analysis- I: : real numbers, sequences and series T2 - Student Mathematical Libary SN - 9780821848548 AV - QA300 PY - 2000///] CY - Rhode Island PB - American Mathematical Society KW - Mathematics N1 - 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 N2 - 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 ER -