Problems in Mathematical Analysis 1: Real Numbers, Sequences and Series (Student Mathematical Library, V. 4)

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.




thank you.

RS mirror:
http://rapidshare.com/files/199389741/w04.rar

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Problems in Mathematical Analysis 1: Real Numbers, Sequences and Series (Student Mathematical Library, V. 4)" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 2366
2. Problems in Mathematical Analysis III (Student Mathematical Library, V. 21)
3. Problems in Mathematical Analysis II (Student Mathematical Library, Vol. 12)
4. Exploring the Number Jungle: A Journey into Diophantine Analysis (Student Mathematical Library, V. 8)
5. Numbers: Rational and Irrational (New Mathematical Library)
6. P.M. Gruber C.G. Lekkerkerker, Geometry of Numbers (North-Holland Mathematical Library)
7. P.M. Gruber C.G. Lekkerkerker, ?Geometry of Numbers (North-Holland Mathematical Library)?
8. Geometry and Billiards (Student Mathematical Library)
9. Codes and Curves (Student Mathematical Library, Vol. 7)
10. Matrix Groups for Undergraduates (Student Mathematical Library)
11. Transformation Groups for Beginners (Student Mathematical Library, Vol. 25)
12. A First Course in Topology: Continuity and Dimension (Student Mathematical Library)
13. Matrix Groups for Undergraduates (Student Mathematical Library)
14. Sequences of numbers involved in unsolved problems
15. A Mathematical Introduction to Wavelets (London Mathematical Society Student Texts)
16. Mainly Natural Numbers: A few elementary studies on Smarandache sequences and other number problems