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.

Provides students with practice problems for topics such as number theory, algebra and combinatorics, geometry and analysis Includes solutions for each problem. Open-ended problems are followed by comments and recommended reading to promote further research Contains a glossary of mathematical terms and the more obscure definitions and identities

Klappentext

The Math Problems Notebook is a collection of nontrivial, unconventional problems requiring deep insight and imagination reminiscent of those discussed at Sunday Math Circles. These circles have become a place for disseminating beautiful mathematics at an elementary level for college students who have a common passion for mathematics.

The problems cover many topics, including number theory, algebra, combinatorics, geometry and analysis, of varying levels of difficulty. The presentation of each topic begins with simple exercises and follows with more difficult problems, challenging enough even for the experienced problem solver. The easier problems focus on basic methods and tools, while the more advanced problems develop problem-solving techniques, intuition and promote further research.

Undergraduates and teachers of advanced mathematics, as well as the casual mathematician will mutually enjoy The Math Problems Notebook.

Inhalt
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.