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The Math Problems Notebook

Authors: Boju, Valentin, Funar, Louis

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  • Provides 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
  • Features a glossary of mathematical terms and the more obscure definitions and identities
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Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-0-8176-4547-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-0-8176-4546-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

Reviews

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)

Table of contents (9 chapters)

Table of contents (9 chapters)
  • Number Theory

    Pages 3-9

    Boju, Valentin (et al.)

  • Algebra and Combinatorics

    Pages 11-20

    Boju, Valentin (et al.)

  • Geometry

    Pages 21-28

    Boju, Valentin (et al.)

  • Analysis

    Pages 29-34

    Boju, Valentin (et al.)

  • Number Theory Solutions

    Pages 37-83

    Boju, Valentin (et al.)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-0-8176-4547-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-0-8176-4546-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Math Problems Notebook
Authors
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4547-2
DOI
10.1007/978-0-8176-4547-2
Softcover ISBN
978-0-8176-4546-5
Edition Number
1
Number of Pages
XII, 236
Number of Illustrations
21 b/w illustrations
Topics