The Equations World
eBook - ePub

The Equations World

  1. 336 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

The Equations World

Book details
Table of contents
Citations

About This Book

Equations are the lifeblood of mathematics, science, and technology, and this book examines equations of all kinds. With his masterful ability to convey the excitement and elegance of mathematics, author Boris Pritsker explores equations from the simplest to the most complex—their history, their charm, and their usefulness in solving problems.
The Equations World bridges the fields of algebra, geometry, number theory, and trigonometry, solving more than 280 problems by employing a wide spectrum of techniques. The authordemystifies the subject with efficient hints, tricks, and methods that reveal the fun and satisfaction of problem solving. He also demonstrates how equations can serve as important tools for expressing a problem's data, showing the ways in which they assist in fitting parts together to solve the whole puzzle. In addition, brief historical tours reveal the foundations of mathematical thought by tracing the ideas and approaches developed by mathematicians over the centuries. Both recreational mathematicians and ambitious students will find this book an ample source of enlightenment and enjoyment.

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Information

Publisher
Dover Publications
Year
2019
ISBN
9780486843056
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Dedication
  5. Contents
  6. Preface
  7. 1 Linear Equations
  8. 2 Quadratic Equations
  9. 3 Cubic and Quartic Equations
  10. 4 Division of Polynomials. Little BĂ©zout’s Theorem, and its Consequences
  11. 5 Irrational Equations
  12. 6 Trigonometric Identities
  13. 7 Trigonometric Equations
  14. 8 Exponential and Logarithmic Equations
  15. 9 Classic Inequalities
  16. 10 Diophantine Equations, Multivariable Equations
  17. 11 Search for Natural Solutions
  18. 12 Systems of Nonlinear Equations
  19. 13 Brainstorming
  20. Solutions to Problems
  21. References
  22. Index