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Trig Or Treat: An Encyclopedia Of Trigonometric Identity Proofs (Tips) With Intellectually Challenging Games [Hardback]

(M.a., Ph.d., Cambridge Univ; Honorary Fellow, Christ's College, Cambridge Univ, Uk)
  • Formāts: Hardback, 416 pages
  • Izdošanas datums: 31-Oct-2007
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9812776184
  • ISBN-13: 9789812776181
Citas grāmatas par šo tēmu:
  • Hardback
  • Cena: 92,43 €
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  • Bibliotēkām
  • Formāts: Hardback, 416 pages
  • Izdošanas datums: 31-Oct-2007
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9812776184
  • ISBN-13: 9789812776181
Citas grāmatas par šo tēmu:
This encyclopedia contains trigonometric identity proofs for some three hundred identities. The book is presented in the form of mathematical games for the reader's enjoyment and includes a concordance of trigonometric identities, enabling easy reference.Trig or Treat is a must-have for: every student of trigonometry, to find the proofs for trigonometric identities that may be set in class or in exams; every teacher of trigonometry, to have easy access to trigonometric identities of different levels of difficulty, to set assignments for different levels of students; every library, to provide a ready resource for students every aficionado of Sudoku, crossword puzzles, jigsaw puzzles, Tetris, and other games, who love an intellectual challenge.
Preface ix
Introduction xiii
Trig — Level One 1
The Basics of Trigonometry
1
Pythagoras' Theorem
11
Trig — Level Two 15
Compound Angles, Double Angles and Half Angles
Trig Level Three 25
Angles in a Triangle
Sum and Difference of sin and cos
Practical Trig 33
Numerical Values of Special Angles Graphs of sin, cos and tan for 0°-360°
Appendix 45
The Concordance of Trigonometric Identities
47
The Encyclopedia of Trigonometric Games or Trigonometric Identity Proofs (TIPS)
71
Level-One-Games: Easy Proofs 73
Level-Two-Games: Less-Easy Proofs 251
Level-Three-Games: Not-So-Easy Proofs 349
Addenda 393