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50 Maths Ideas You Really Need to Know [Kõva köide]

3.77/5 (2002 hinnangut Goodreads-ist)
  • Formaat: Hardback, 208 pages
  • Ilmumisaeg: 03-Apr-2008
  • Kirjastus: Quercus Publishing
  • ISBN-10: 1847240089
  • ISBN-13: 9781847240088
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  • Formaat: Hardback, 208 pages
  • Ilmumisaeg: 03-Apr-2008
  • Kirjastus: Quercus Publishing
  • ISBN-10: 1847240089
  • ISBN-13: 9781847240088
Teised raamatud teemal:
Who invented zero? Why 60 seconds in a minute? How big is infinity? Where do parallel lines meet? And can a butterfly's wings really cause a storm on the far side of the world? In 50 Mathematical Ideas You Really Need to Know, Professor Tony Crilly explains in 50 clear and concise essays the mathematical concepts - ancient and modern, theoretical and practical, everyday and esoteric - that allow us to understand and shape the world around us. Packed with diagrams, examples and anecdotes, this book is the perfect overview of this often daunting but always essential subject. For once, mathematics couldn't be simpler. Contents include: Origins of mathematics, From Egyptian fractions to Roman numerals; Pi and primes, Fibonacci numbers and the golden ratio; What calculus, Statistics and algebra can actually do; The very real uses of imaginary numbers; The Big Ideas of relativity, Chaos theory, Fractals, Genetics and hyperspace; The reasoning behind Sudoku and code cracking, Lotteries and gambling, Money management and compound interest; Solving of Fermat's last theorem and the million-dollar question of the Riemann hypothesis.
Introduction 3(1)
Zero
4(4)
Number systems
8(4)
Fractions
12(4)
Squares and square roots
16(4)
π
20(4)
e
24(4)
Infinity
28(4)
Imaginary numbers
32(4)
Primes
36(4)
Perfect numbers
40(4)
Fibonacci numbers
44(4)
Golden rectangles
48(4)
Pascal's triangle
52(4)
Algebra
56(4)
Euclid's algorithm
60(4)
Logic
64(4)
Proof
68(4)
Sets
72(4)
Calculus
76(4)
Constructions
80(4)
Triangles
84(4)
Curves
88(4)
Topology
92(4)
Dimension
96(4)
Fractals
100(4)
Chaos
104(4)
The parallel postulate
108(4)
Discrete geometry
112(4)
Graphs
116(4)
The four-colour problem
120(4)
Probability
124(4)
Bayes's theory
128(4)
The birthday problem
132(4)
Distributions
136(4)
The normal curve
140(4)
Connecting data
144(4)
Genetics
148(4)
Groups
152(4)
Matrices
156(4)
Codes
160(4)
Advanced counting
164(4)
Magic squares
168(4)
Latin squares
172(4)
Money mathematics
176(4)
The diet problem
180(4)
The travelling salesperson
184(4)
Game theory
188(4)
Relativity
192(4)
Fermat's last theorem
196(4)
The Riemann hypothesis
200(4)
Glossary 204(2)
Index 206
Tony Crilly is Reader in Mathematical Sciences at Middlesex University, having previously taught at the University of Michigan, the City University in Hong Kong, and the Open University. His principal research interest is the history of mathematics, and he has written and edited many works on fractals, chaos and computing. He is the author of the acclaimed biography of the English mathematician Arthur Cayley.