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Conway J.H. — The Book of Numbers
Conway J.H. — The Book of Numbers



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Название: The Book of Numbers

Автор: Conway J.H.

Аннотация:

In this book, John Horton Conway, creator of the famous game of Life, and one of the most original thinkers in mathematics, joins up with Richard K. Guy, whose broad understanding of the subject is often dressed up in playful expository language. Together they lead the reader on an imaginative, often astonishing tour of the landscape of numbers.
The Book of Numbers is just that-an engagingly written, heavily illustrated introduction to the fascinating, sometimes surprising properties of numbers and number patterns. The book opens up a world of topics, theories, and applications, exploring intriguing aspects of real numbers, systems, arrays and sequences, and much more. Readers will be able to use figures to figure out figures (do arithmetic and algebra by geometry), rub elbows with famous families of numbers, prove the primacy of primes, fathom the fruitfulness of fractions, imagine imaginary numbers, investigate the infinite and infinitesimal, and more...
Conway and Guy, who are co-authors (with E.R. Berlekamp) of Winning Ways For Your Mathematical Plays, combine their unusual talents to present readers with mathematical topics that are infused with their unique perspectives, little-known numbers, clever insights, and historical curiosities. For math buffs looking to explore new twists and turns in number theory, The Book of Numbers promises to be a richly rewarding reading experience.

John Horton Conway is Professor of Mathematics at Princeton University. Among his many publications and books are Winning Ways For Your Mathematical Plays (with E.R. Berlekamp and Richard Guy), On Numbers and Games, and Sphere Packing, Lattices, and Groups (with N.G.A. Sloane).
Richard K. Guy is Professor Emeritus in the Department of Mathematics at the University of Calgary, Alberta. With more than 200 publications and ten books published, Guy is universally known for his work with unsolved problems and number theory.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 310

Добавлена в каталог: 07.12.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Sequences, guessing next term of      79-89
Sequences, look and say      208-209
Sets, countable      278-279
Sets, counting in different ways      275-276
Sets, empty      266
Sets, finite      278
Seventeen-sided polygon      25
Sexagesimal system      21 183
Shaking hands      see Handshakes
Sharkovsky’s      208
Shifts      215-216
Shuffles      163-168
Shuffles, cycle length and base      166-168
Shuffles, Monge’s      165
Shuffles, periodic points and      207-209
Shuffles, riffle      163-165
Sierpiriski, Waclaw      265-266
Sieve, of Eratosthenes      128-129 130
Singly even number      30
Sixty, words for      121
Skewes’s number      61 62
Sources of information      see Information sources
Sources of information, sums of two      146-147
Sources of information, very large numbers and      59
Square numbers      30-33
Square pyramid numbers      47-49
Square root      182-186
Square root of negative numbers      212-213
Square(s)      39 (see also Triangular numbers)
Square(s), quaternions and      232
Squaring the circle      191
St${\oe}$ormer’s numbers      245-248
St${\oe}$rmer, Carf      244-248
Stark, Harold      224-225
Stella octangula number      51
Stirling cycle numbers      93
Stirling set numbers      92-94
Stirling’s formula      260-261
Subtraction, by geometry      215
Sumerian numerals      17
Sums of cubes      57-58
Sums of two squares      146-147
Superscripts, very large numbers and      59-60
Surreal Numbers      25 283-284
Surreal values, of Hackenbush chains      289
Sweet Seventeen hand, in poker      71
Table of Constants      25
Taine, John      see Bell Eric
Tangent numbers      111
Ten, powers of      16
Terms, lowest      151
Tesseracts      55
Tetrahedral numbers      44-46 70
Tetrahedral numbers, truncated      46 47
third dimension      42-44
Thirteen, word for      11
Time, measurement system for      17
Totient numbers      154-156 167
Trains, gear      178 179
Transcendental numbers      23-25 237-263
Transcendental numbers, Ap$\acute{e}$ry’s number      261-262
Transcendental numbers, Euler’s relation      254-256
Transcendental numbers, Gregory’s numbers      241-243 244-245
Transcendental numbers, Liouville’s number      239-241
Transcendental numbers, logarithms      248-251 256
Transcendental numbers, pi ($\pi$)      237-239
Transcendental numbers, powers of $e$      251 254
Transcendental numbers, St${\o}$rmer’s numbers      245-248
Transcendental numbers, Stirling’s formula      260-261
Trees and exponentiations      103
Trees, bifurcating and binary      98
Trees, polygons and      103
Tri-’’ words      7-8
Triangle(s), Calabi’s      206
Triangle(s), Pascal’s      63 67 68-70
Triangle(s), polygons as      97-98
Triangle(s), rational      228-229
Triangle(s), sequences and      83-84
Triangle(s), zigzag      110
Triangular numbers      33-38 39 70
Trisectors      198-202
Truncated octahedral numbers      52 53
Truncated tetrahedral numbers      46 47
Tsu Ch’ung-Chih      238
Twenty, word for      11
Twirls      215 216
Uncountable sets      278
UNIT      127
Upside-down copy      75
Upstairs - Downstairs rule      37 49 58
Vall$\acute{e}$e - Poussin, Charles - Jacques de la      143-144
Value, in Hackenbush game      286 287
Van Ceulen, Ludolph      238-239
Vector      231
Very large numbers      59-62
Vieta      238
Vogeler, Roger      173
Vogeler, Roger, Pythagorean fraction finder of      172
Von Staudt      109
Watkins, William      140
Wechsler, Allan      15
Welsh language, number words in      3
Whole numbers      22
Wilson, John      142-143 168-169
Wilson’s test, for primality      220
Wilson’s Theorem      168-169
Words, as number systems      2-16
Written numbers      17-22
Year      175
Yorke, James      208
Zag numbers      111
Zermelo Ernst      274-275
Zero      18 23
Zero, counting from      265-266
Zigzag arrangements      110-111
Zigzag triangle      110
Zillion, use of term      13-16
“-illion” words      13-16
“Ambi-”, “amphi-” words      6
“Bi-” words      5
“Bootstrapping” rule      85-86
“Cent-” words      12
“Dec-” words      9 10
“Di-,” “dis « words      4-6
“Eleven” through “twenty,” use of words for      10-11
“Five,” use of word      8-9
“Hept-” words      10
“Millc” words      12 13-14
“Mono-” words      4
“Non-” (nine) words      10
“Nov-” words      9 10
“Oct-” words      9 10
“One,” use of word      3-4
“Par-” words      6
“Pent-” words      9 11
“Quin-” words      9 11
“Score,” use of word      11
“Sept-” words      9-10 11
“Seven” through “ten,” use of words      9-10
“Sex-,” “ses-” words      9 11
“Six,” use of word      9
“Three,” use of word      7-8
“Two” as number      25
“Two” as number, use of word      4-6
“Un-” words (for “one”)      4
1 2 3
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