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Problems in Mathematical Analysis II: Continuity and Differentiation (Student Mathematical Library, Vol. 12), by W. J. Kaczor, M. T. Nowak
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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 Analysis I (Volume 4 in the Student Mathematical Library series). If you want to hone your understanding of continuous and differentiable functions, this book contains hundreds of problems to help you do so. The emphasis here is on real functions of a single variable. Topics include: continuous functions, the intermediate value property, uniform continuity, mean value theorems, Taylors formula, convex functions, sequences and series of functions.
The book is mainly geared toward students studying the basic principles of analysis. However, given its selection of problems, organization, and level, it would be an ideal choice for tutorial or problem-solving seminars, particularly those geared toward the Putnam exam. It is also suitable for self-study. The presentation of the material is designed to help student comprehension, to encourage them to ask their own questions, and to start research. The collection of problems will also help teachers who wish to incorporate problems into their lectures. The problems are grouped into sections according to the methods of solution. Solutions for the problems are provided.
This is the sequel to Problems in Mathematical Analysis I (Volume 4 in the Student Mathematical Library series). Also available from the AMS is Problems in Analysis III.
- Sales Rank: #1285282 in Books
- Brand: Brand: American Mathematical Society
- Published on: 2001-05-17
- Original language: English
- Number of items: 1
- Dimensions: 8.50" h x 5.75" w x 1.00" l, 1.10 pounds
- Binding: Paperback
- 398 pages
- Used Book in Good Condition
Review
"As with the first volume, the book is of great help for problem seminars and also for self-study ... The book can be recommended for libraries and for students." ---- European Mathematical Society Newsletter
"A very stimulating problem book ... The style ... is proven to be a motivating approach in constructing and conveying mathematical knowledge ... leads the readers to find new solutions and hence boosts their ability to carry out further research ... thorough coverage of some topics that are covered very briefly in other compatible books ... of interest to anyone who wishes to pursue research in mathematical analysis and its applications ... also excellent for students who want to enhance their skills in real analysis ... a useful supplement to any graduate textbook in mathematical analysis ... some problems are also suitable for undergraduate students." ---- MAA Online
Most helpful customer reviews
0 of 0 people found the following review helpful.
Five Stars
By Peng Xu
good
11 of 13 people found the following review helpful.
You need ONLY two problem books in Real Analysis
By Physicsmind
In your undergrad math career or maybe early grad, you only need two books for the subject analysis. These two volume book is one. Contains many challenging problems that will satisfy your ambitious Putnam apetite.
THE KING OF ALL MATHEMATICAL PROBLEMS!!!!!!!!!
Problems in Mathematical Analysis (Hardcover)
by g. yankovsky (Translator), B. Demidovich (Author
Publisher: mir publisher; 4th Printing edition (1976)
ASIN: B000GTC2GA Should be called a comprehensive collection of problems in mathematical analysis (at undergraduate level). It's theeee most comprehensive one out there.
While Kazac and Nowak's books Problems in Mathematical Analysis have more hard problems (Putnam type), this one helps you build up the knowledge you need to understand advanced graduate level Real Analysis. Highly recommended for econ/math/physics majors.
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