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.
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Editorial Reviews
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Aus den Rezensionen: “Der vorliegende Band wendet sich an alle jene Personen, welche einerseits Freude am Lösen von Aufgaben aus unterschiedlichen mathematischen Bereichen haben und die andererseits das betreffende mathematische Umfeld kennenlernen möchten ... Im Anhang finden sich viele einschlägige Formeln und Aussagen. Dieses Buch ist auch deshalb sowohl Studierenden als auch Vortragenden sehr zu empfehlen, weil die unterschiedlichen Lösungsansätze nicht nur isoliert dargestellt, sondern untereinander verzahnt werden, sodass insgesamt ein Lehrbuch zu Problemlösungstechniken auf hohem Niveau vorliegt.“ (P. Paukowitsch, in: IMN Internationale Mathematische Nachrichten, April/2010, Issue 213, S. 43)
From the Back Cover
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.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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combinatorial geometry, geometric inequalities, synthetic geometry, admissible lines, isogonal conjugate, pairwise disjoint interiors, negative triangles, geometric locus, odd perfect numbers, totient function, colored cells, planar set, unit diameter, distinct distances Key Phrases - Capitalized Phrases (CAPs): (learn more)
Number Theory Solutions, Putnam Competition, Analysis Solutions, Algebraic Combinatorics, Geometry Solutions, New York, International Math, Geometric Combinatorics, Reine Angew, Number Theory Problem, Nieuw Arch, Acta Arith, Schweitzer Competition, Theory Ser, Analysis Problem, Matematikai Lapok, Academic Press, Geometry Problem, Unsolved Problems Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
combinatorial geometry, geometric inequalities, synthetic geometry, admissible lines, isogonal conjugate, pairwise disjoint interiors, negative triangles, geometric locus, odd perfect numbers, totient function, colored cells, planar set, unit diameter, distinct distances Key Phrases - Capitalized Phrases (CAPs): (learn more)
Number Theory Solutions, Putnam Competition, Analysis Solutions, Algebraic Combinatorics, Geometry Solutions, New York, International Math, Geometric Combinatorics, Reine Angew, Number Theory Problem, Nieuw Arch, Acta Arith, Schweitzer Competition, Theory Ser, Analysis Problem, Matematikai Lapok, Academic Press, Geometry Problem, Unsolved Problems Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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