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The Math Problems Notebook

  • Valentin Boju
  • Louis Funar

Table of contents

  1. Front Matter
    Pages I-XII
  2. Problems

    1. Front Matter
      Pages 1-1
    2. Valentin Boju, Louis Funar
      Pages 3-9
    3. Valentin Boju, Louis Funar
      Pages 11-20
    4. Valentin Boju, Louis Funar
      Pages 21-28
    5. Valentin Boju, Louis Funar
      Pages 29-34
  3. Solutions and Comments to the Problems

    1. Front Matter
      Pages 35-35
    2. Valentin Boju, Louis Funar
      Pages 37-83
    3. Valentin Boju, Louis Funar
      Pages 133-183
    4. Valentin Boju, Louis Funar
      Pages 185-215
    5. Valentin Boju, Louis Funar
      Pages 216-223
    6. Valentin Boju, Louis Funar
      Pages 225-232
  4. Back Matter
    Pages 225-232

About this book

Introduction

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.

Keywords

Algebra Area Problem-solving Volume calculus geometry mathematics problem solving techniques

Authors and affiliations

  • Valentin Boju
    • 1
  • Louis Funar
    • 2
  1. 1.MontrealTechInstitut de Technologie de MontrealMontrealH3S 2W9 Canada
  2. 2.Institut Fourier BP 74 URF MathematiquesUniversité de Grenoble I38402 Saint Martin d’Heres cedexFrance

Bibliographic information