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Problems in Mathematical Analysis I (Student Mathematical Library), by W. J. Kaczor, M. T. Nowak
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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.
- Sales Rank: #864255 in Books
- Brand: Brand: American Mathematical Society
- Published on: 2000-03-29
- Original language: English
- Number of items: 1
- Dimensions: 8.50" h x 5.75" w x .75" l, 1.05 pounds
- Binding: Paperback
- 380 pages
- Used Book in Good Condition
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
Most helpful customer reviews
4 of 4 people found the following review helpful.
This books was very useful as a source of problems and interesting techniques
By ESAB83
This books was very useful as a source of problems and interesting techniques. Anybody working through these problems should have no trouble in an introductory real analysis class.
Amazon needs to fix the picture! This is volume one, and they have the cover and "look inside" for volume two.
11 of 13 people found the following review helpful.
nice book of problems
By Gilles Benson
contains a lot of examples and problems; maths can't just be learnt out of textbooks; you need this kind of book in order to go face to face with classic and sometime weird material as you can find there; very useful to set up exercices and tests when you teach this kind of things too...
0 of 0 people found the following review helpful.
Five Stars
By Peng Xu
good
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