Calvin C. Clawson
Plenum Press | 1996 | 322 páginas | rar - pdf | 7,7 Mb
link (password: matav)
Why seemingly unrelated mathematical truths are connected in simple and beautiful equations continues to stump even mathematicians. This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician’s treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements,Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.
CONTENTS
Introduction 1
CHAPTER 1 Discovery of the Number Sequence 8
CHAPTER 2 Numbers and the Occult 39
CHAPTER 3 Sequences and Series 53
CHAPTER 4 The Family of Numbers 77
CHAPTERS Story for a Rich Man 95
CHAPTER 6 Exotic Connections 116
CHAPTER 7 Closing in on the Primes 145
CHAPTER 8 Primes in Depth 164
CHAPTER 9 Primes and Secret Codes 184
CHAPTER 10 The Remarkable Ramanujan
CHAPTER 11 Ramanujan's Equations
CHAPTER 12 Goldbach's Conjecture
CHAPTER 13 Deepest Mysteries
CHAPTER 14 Into the Stratosphere
EndNotes
Suggested Reading
Index
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