Skip to main content
SpringerLink
Log in
Birkhäuser

The Math Problems Notebook

  • Textbook
  • © 2007

Overview

Authors:
  1. Valentin Boju

    1. MontrealTech, Institut de Technologie de Montreal, Montreal, H3S 2W9 Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Louis Funar

    1. Institut Fourier BP 74 URF Mathematiques, Université de Grenoble I, 38402 Saint Martin d’Heres cedex, France

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (9 chapters)

  1. Front Matter

    Pages I-XII
    Download chapter PDF

  2. Problems

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Number Theory

      • Valentin Boju, Louis Funar
      Pages 3-9

    3. Algebra and Combinatorics

      • Valentin Boju, Louis Funar
      Pages 11-20

    4. Geometry

      • Valentin Boju, Louis Funar
      Pages 21-28

    5. Analysis

      • Valentin Boju, Louis Funar
      Pages 29-34

  3. Solutions and Comments to the Problems

    1. Front Matter

      Pages 35-35
      Download chapter PDF

    2. Number Theory Solutions

      • Valentin Boju, Louis Funar
      Pages 37-83

    3. Algebra and Combinatorics Solutions

      • Valentin Boju, Louis Funar
      Pages 133-183

    4. Geometry Solutions

      • Valentin Boju, Louis Funar
      Pages 185-215

    5. Analysis Solutions

      • Valentin Boju, Louis Funar
      Pages 216-223

    6. Glossary

      • Valentin Boju, Louis Funar
      Pages 225-232

  4. Back Matter

    Pages 225-232
    Download chapter PDF
Back to top

Keywords

About this book

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)

Authors and Affiliations

  • MontrealTech, Institut de Technologie de Montreal, Montreal, H3S 2W9 Canada

    Valentin Boju

  • Institut Fourier BP 74 URF Mathematiques, Université de Grenoble I, 38402 Saint Martin d’Heres cedex, France

    Louis Funar

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation