The Math Problems Notebook [Paperback]

This volume offers a collection of non-trivial, unconventional problems that require deep insight and imagination to solve. They cover many topics, including number theory, algebra, combinatorics, geometry and analysis. The problems start as simple exercises and become more difficult as the reader progresses through the book to become challenging enough even for the experienced problem solver. The introductory problems focus on the basic methods and tools while the advanced problems aim to develop problem solving techniques and intuition as well as promote further research in the area. Solutions are included for each problem.

This volume offers a collection of non-trivial, unconventional problems that require deep insight and imagination to solve. They cover many topics, including number theory, algebra, combinatorics, geometry and analysis and are of varying levels of difficulty.

Problems.- Number Theory.- Algebra and Combinatorics.- Geometry.- Analysis.- Solutions and Comments to the Problems.- Number Theory Solutions.- Algebra and Combinatorics Solutions.- Geometry Solutions.- Analysis Solutions.Aus den Rezensionen:Der vorliegende Band wendet sich an alle jene Personen, welche einerseits Freude am L?sen von Aufgaben aus unterschiedlichen mathematischen Bereichen haben und die andererseits das betreffende mathematische Umfeld kennenlernen m?chten ... Im Anhang finden sich viele einschl?gige Formeln und Aussagen. Dieses Buch ist auch deshalb sowohl Studierenden als auch Vortragenden sehr zu empfehlen, weil die unterschiedlichen L?sungsans?tze nicht nur isoliert dargestellt, sondern untereinander verzahnt werden, sodass insgesamt ein Lehrbuch zu Probleml?sungstechniken auf hohem Niveau vorliegt. (P. Paukowitsch, in: IMN Internationale Mathematische Nachrichten, April/2010, Issue 213, S. 43)

The Math Problems Notebook is a collection of nontrivial, unconventional problems requiring deep insight and il3*