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E-raamat: Spirit of Mathematics: Algebra and all that

(Emeritus Fellow, Jesus College, University of Oxford, University of Oxford)
  • Formaat: 288 pages
  • Ilmumisaeg: 07-Feb-2023
  • Kirjastus: Oxford University Press
  • Keel: eng
  • ISBN-13: 9780192659682
  • Formaat - EPUB+DRM
  • Hind: 13,57 €*
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  • See e-raamat on mõeldud ainult isiklikuks kasutamiseks. E-raamatuid ei saa tagastada.
  • Formaat: 288 pages
  • Ilmumisaeg: 07-Feb-2023
  • Kirjastus: Oxford University Press
  • Keel: eng
  • ISBN-13: 9780192659682

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What makes mathematics so special?

Whether you have anxious memories of the subject from school, or solve quadratic equations for fun, David Acheson's book will make you look at mathematics afresh. Following on from his previous bestsellers, The Calculus Story and The Wonder Book of Geometry, here Acheson highlights the power of algebra, combining it with arithmetic and geometry to capture the spirit of mathematics. This short book encompasses an astonishing array of ideas and concepts, from number tricks and magic squares to infinite series and imaginary numbers.

Acheson's enthusiasm is infectious, and, as ever, a sense of quirkiness and fun pervades the book. But it also seeks to crystallize what is special about mathematics: the delight of discovery; the importance of proof; and the joy of contemplating an elegant solution. Using only the simplest of materials, it conjures up the depth and the magic of the subject.

Arvustused

David Acheson captures the joy and wonder of mathematics in this little book, full of delightful and curious examples presented in a gentle, friendly way, yet packing in a number of profound ideas. * Hannah Fry, broadcaster and lecturer, author of The Mathematics of Love and The Indisputable Existence of Santa Claus * A delight. * Brian Clegg, Popular Science * [ A] compendium of intriguing ideas which would fascinate and compel a keen mathematician wanting to learn more, and provide hours of intrigue and jumping-off points for further investigation. * Katie Steckles, The Aperiodical * [ A] neat little book...every teacher, or at least every department, should have a copy. * Grant Macleod, Mathematics in Schools * This book is both interesting and entertaining, and it should appeal to any numerate person who has a casual interest in puzzles or mathematics. * SF2 Concatenation * This short book encompasses an astonishing array of ideas and concepts, from number tricks and magic squares to infinite series and imaginary numbers. * MathSciNet * Given the author's own specialisms (mainly fluid dynamics and astrophysics), it is good to see a substantial emphasis on the use of algebra in applied mathematics. There are stimulating chapters on passing trains, crossed ladders, rollercoaster dynamics and tuning a guitar. The book ends with some paradoxes involving infinite series and the AM-GM inequality. I can recommend it thoroughly. * Gerry Leversha, The Mathematical Gazette *

1 Introduction
1(4)
2 Whatever Happened to A, B, and C?
5(6)
3 The 1089 Trick
11(6)
4 Another Kind of Magic
17(7)
Before X
22(2)
5 Just Imagine
24(5)
6 A Most Unusual Lecture
29(6)
7 Why Are Mathematicians Obsessed by Proof?
35(4)
8 Puzzling Mathematics
39(7)
`Quite Enthralling'
44(2)
9 Why Does (-1) × (-1) = +1?
46(7)
10 It's a Square World
53(5)
11 Algebra in Action
58(4)
12 `Compleating the Square'
62(6)
After X
66(2)
13 Slices of Pi
68(5)
14 The Golden Ratio
73(3)
15 Proof by Chocolate
76(6)
Playing with Infinity
80(2)
16 The Puzzled Farmer
82(4)
17 Mathematics and Snooker
86(3)
18 The Wicked Schoolteacher
89(6)
Extreme Situations/Strange Powers
93(2)
19 Trains, Boats, and Planes
95(7)
20 I've Seen that Before, Somewhere
102(5)
21 An Apple Falls
107(4)
22 Rollercoaster Mathematics
111(4)
23 The Electric Guitar Revisited
115(7)
A Journey through the Earth?
120(2)
24 The Domino Effect
122(6)
25 Real or Imaginary?
128(4)
26 The Square Root of Minus One
132(6)
More Playing with Infinity
136(2)
27 Inspector Riemann Investigates
138(4)
28 Infinite Danger
142(5)
29 1 + 1 = 2 to the Rescue!
147(5)
30 And Finally...
152(3)
Notes 155(14)
Further Reading 169(2)
Acknowledgments 171(2)
Picture Credits 173(2)
Index 175
David Acheson is Emeritus Fellow of Jesus College, Oxford, and was the University's first winner of a National Teaching Fellowship in 2004. He was President of the Mathematical Association from 2010 to 2011, and now lectures widely on mathematics to young people and the general public. In 2013, Acheson was awarded an Honorary D.Sc. by the University of East Anglia for his outstanding work in the popularisation of mathematics. His books include 1089 and All That (OUP, 2002), The Calculus Story, (OUP, 2017), and The Wonder Book of Geometry, (OUP, 2020).