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Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics [Kõva köide]

4.03/5 (4009 hinnangut Goodreads-ist)
  • Formaat: Hardback, 528 pages, kõrgus x laius: 214x186 mm, full colour illustrations throughout, includes photographs, includes illustrations
  • Ilmumisaeg: 01-Sep-2009
  • Kirjastus: Sterling
  • ISBN-10: 1402757964
  • ISBN-13: 9781402757969
Teised raamatud teemal:
Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of MathematicsSuurem pilt
  • Formaat: Hardback, 528 pages, kõrgus x laius: 214x186 mm, full colour illustrations throughout, includes photographs, includes illustrations
  • Ilmumisaeg: 01-Sep-2009
  • Kirjastus: Sterling
  • ISBN-10: 1402757964
  • ISBN-13: 9781402757969
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781402757969.html
Märksõnad:
This is an accessible, fascinating book that unravels the mysteries and beauty of mathematics. It covers 250 milestones in mathematical history, from the magic squares from centuries ago to the discovery of pi. Each topic is lavishly illustrated and includes formulas and concepts, facts about scientists' lives and real-world applications of the theorem. Mathematics' infinite mysteries and beauty unfold in this fascinating book. Beginning millions of years ago with ancient 'ant odometers' and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about in this inviting anthology include: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning colour art, along with formulas and concepts, fascinating facts about scientists' lives and real-world applications of the theorems.
Introduction 10(8)
150 Million B.C. Ant Odometer
18(2)
30 Million B.C. Primates Count
20(2)
1 Million B.C. Cicada-Generated Prime Numbers
22(2)
100,000 B.C. Knots
24(2)
18,000 B.C. Ishango Bone
26(2)
3000 B.C. Quipu
28(2)
3000 B.C. Dice
30(2)
2200 B.C. Magic Squares
32(2)
1800 B.C.Plimpton 322
34(2)
1650 B.C. Rhind Papyrus
36(2)
1300 B.C. Tic Tac Toe
38(2)
600 B.C. Phythagorean Theorem and Triangles
40(2)
548 B.C. Go
42(2)
530 B.C. Pythagoras Founds Mathematical Brotherhood
44(2)
445 B.C. Zeno's Paradoxes
46(2)
440 B.C. Quadrature of the Lune
48(2)
350 B.C. Platonic Solids
50(2)
350 B.C. Aristotle's Organon
52(2)
320 B.C. Aristotle's Wheel Paradox
54(2)
300 B.C. Euclid's Elements
56(2)
250 B.C. Archimedes: Sand, Cattle & Stomachion
58(2)
250 B.C. π
60(2)
240 B.C. Sieve of Eratosthenes
62(2)
240 B.C. Archimedean Semi-Regular Polyhedra
64(2)
225 B.C. Archimedes' Spiral
66(2)
180 B.C. Cissoid of Diocles
68(2)
150 Ptolemy's Almagest
70(2)
250 Diophantus's Arthmetica
72(2)
340 Pappus's Hexagon Theorem
74(2)
350 Bakhshali Manuscript
76(2)
415 The Death of Hypatia
78(2)
650 Zero
80(2)
800 Alcuin's Propositiones ad Acuendos Juvenes
82(2)
830 Al-Khawarizmi's Algebra
84(2)
834 Borromcan Rings
86(2)
850 Ganita Sara Samgraha
88(2)
850 Thabit Formula for Amicable Numbers
90(2)
953
Chapters in Indian Mathematics
92(2)
1070 Omar Khayyam's Treatise
94(2)
1150 Al-Samawal's The Dazzling
96(2)
1200 Abacus
98(2)
1202 Fibonacci's Liber Abaci
100(2)
1256 Wheat on a Chessboard
102(2)
1350 Harmonic Series Diverges
104(2)
1427 Law of Cosines
106(2)
1478 Treviso Arithmetic
108(2)
1500 Discovery of Series Formula for π
110(2)
1509 Golden Ratio
112(2)
1518 Polygraphiae Libri Sex
114(2)
1537 Loxodrome
116(2)
1545 Cardano's Ars Magna
118(2)
1556 Sumario Compendioso
120(2)
1569 Mercator Projection
122(2)
1572 Imaginary Numbers
124(2)
1611 Kepler Conjecture
126(2)
1614 Logarithms
128(2)
1621 Slide Rule
130(2)
1636 Fermat's Spiral
132(2)
1637 Fermat's Last Theorem
134(2)
1637 Descartes's La Geometrie
136(2)
1637 Cardioid
138(2)
1638 Logarithmic Spiral
140(2)
1639 Projective Geometry
142(2)
1641 Torricelli's Trumpet
144(2)
1654 Pascal's Triangle
146(2)
1657 The Length of Neile's Semicubical Parabola
148(2)
1665 Viviani's Theorem
150(2)
c. 1665 Discovery of Calculus
152(2)
1669 Newton's Method
154(2)
1673 Tautochrone Problem
156(2)
1674 Astroid
158(2)
1696 L'Hopital's Analysis of the Infinitely Small
160(2)
1702 Rope around the Earth Puzzle
162(2)
1713 Law of Large Numbers
164(2)
1727 Euler's Number, e
166(2)
1730 Stirling's Formula
168(2)
1733 Normal Distribution Curve
170(2)
1735 Euler-Mascheroni Constant
172(2)
1736 Konigberg Bridges
174(2)
1738 St. Petersburg Paradox
176(2)
1742 Goldbach Conjecture
178(2)
1748 Agnesi's Instituzioni Analitiche
180(2)
1751 Euler's Formula for Polyhedra
182(2)
1751 Euler's Polygon Division Problem
184(2)
1759 Knight's Tours
186(2)
1761 Bayes' Theorem
188(2)
1769 Franklin Magic Square
190(2)
1774 Minimal Surface
192(2)
1777 Buffon's Needle
194(2)
1779 Thirty-Six Officers Problem
196(2)
c. 1789 Sangaku Geometry
198(2)
1795 Least Squares
200(2)
1796 Constructing a Regular Heptadecagon
202(2)
1797 Fundamental Theorem of Algebra
204(2)
1801 Gauss's Disquisitiones Arithmeticae
206(2)
1801 Three-Armed Protractor
208(2)
1807 Fourier Series
210(2)
1812 Laplace's Theorie Analytique des Probabilites
212(2)
1816 Prince Rupert's Problem
214(2)
1817 Bessel Functions
216(2)
1822 Babbage Mechanical Computer
218(2)
1823 Cauchy's Le Calcul Infinitesimal
220(2)
1827 Barycentric Calculus
222(2)
1829 Non-Euclidean Geometry
224(2)
1831 Mobius Function
226(2)
1832 Group Theory
228(2)
1834 Pigeonhole Principle
230(2)
1843 Quaternions
232(2)
1844 Transcendental Numbers
234(2)
1844 Catalan Conjecture
236(2)
1850 The Matrices of Sylvester
238(2)
1852 Four-Color Theorem
240(2)
1854 Boolean Algebra
242(2)
1857 Icosian Game
244(2)
1857 Harmonograph
246(2)
1858 The Mobius Strip
248(2)
1858 Holditch's Theorem
250(2)
1859 Riemann Hypothesis
252(2)
1868 Beltrami's Pseudosphere
254(2)
1872 Weierstrass Function
256(2)
1872 Gros's Theorie du Baguenodier
258(2)
1874 The Doctorate of Kovalevskaya
260(2)
1874 Fifteen Puzzle
262(2)
1874 Cantor's Transfinite Numbers
264(2)
1875 Reuleaux Triangle
266(2)
1876 Harmonic Analyzer
268(2)
1879 Ritty Model I Cash Register
270(2)
1880 Venn Diagrams
272(2)
1881 Benford's Law
274(2)
1882 Klein Bottle
276(2)
1883 Tower of Hanoi
278(2)
1884 Flatland
280(2)
1888 Tesseract
282(2)
1889 Peano Axioms
284(2)
1889 Peano Curve
286(2)
1891 Wallpaper Groups
288(2)
1893 Sylvester's Line Problem
290(2)
1896 Proof of the Prime Number Theorem
292(2)
1899 Pick's Theorem
294(2)
1899 Morley's Trisector Theorem
296(2)
1900 Hilbert's 23 Problems
298(2)
1900 Chi-Square
300(2)
1901 Boy's Surface
302(2)
1901 Barber Paradox
304(2)
1901 Jung's Theorem
306(2)
1904 Poincare Conjecture
308(2)
1904 Koch Snowflake
310(2)
1904 Zermelo's Axiom of Choice
312(2)
1905 Jordan Curve Theorem
314(2)
1906 Thue-Morse Sequence
316(2)
1909 Brouwer Fixed-Point Theorem
318(2)
1909 Normal Number
320(2)
1909 Boole's Philosophy and Fun of Algebra
322(2)
1910-1913 Principia Mathematica
324(2)
1912 Hairy Ball Theorem
326(2)
1913 Infinite Monkey Theorem
328(2)
1916 Bieberbach Conjecture
330(2)
1916 Johnson's Theorem
332(2)
1918 Hausdorff Dimension
334(2)
Brun's Constant
336(2)
c. 1920 Googol
338(2)
1920 Antoine's Necklace
340(2)
1921 Noether's Idealtheorie
342(2)
1921 Lost in Hyperspace
344(2)
1922 Geodesic Dome
346(2)
1924 Alexander's Horned Sphere
348(2)
1924 Banach-Tarski Paradox
350(2)
1925 Squaring a Rectangle
352(2)
1925 Hilbert's Grand Hotel
354(2)
1926 Menger Sponge
356(2)
1927 Differential Analyzer
358(2)
1928 Ramsey Theory
360(2)
1931 Godel's Theorem
362(1)
1931 Godel's Theorem
362(2)
1933 Champernowne's Number
364(2)
1935 Bourbaki: Secret Society
366(2)
1936 Fields Medal
368(2)
1936 Turing Machines
370(2)
1936 Voderberg Tilings
372(2)
1937 Collatz Conjecture
374(2)
1938 Ford Circles
376(2)
1938 The Rise of Randomizing Machines
378(2)
1939 Birthday Paradox
380(2)
c. 1940 Polygon Circumscribing
382(2)
1942 Hex
384(2)
1945 Pig Game Strategy
386(2)
1946 ENIAC
388(2)
1946 Von Neumann's Middle-Square Randomizer
390(2)
1947 Gray Code
392(2)
1948 Information Theory
394(2)
1948 Curta Calculator
396(2)
1949 Csaszar Polyhedron
398(2)
1950 Nash Equilibrium
400(2)
c. 1950 Coastline Paradox
402(2)
1950 Prisoner's Dilemma
404(2)
1952 Cellular Automata
406(2)
1957 Martin Gardner's Mathematical Recreations
408(2)
1958 Gilbreath's Conjecture
410(2)
1958 Turning a Sphere Inside Out
412(2)
1958 Platonic Billiards
414(2)
1959 Outer Billiards
416(2)
1960 Newcomb's Paradox
418(2)
1960 Sierpinski Numbers
420(2)
1963 Chaos and the Butterfly Effect
422(2)
1963 Ulam Spiral
424(2)
1963 Continuum Hypothesis Undecidability
426(2)
c. 1965 Superegg
428(2)
1965 Fuzzy Logic
430(2)
1966 Instant Insanity
432(2)
1967 Langlands Program
434(2)
1967 Sprouts
436(2)
1968 Catastrophe Theory
438(2)
1969 Tokarsky's Unilluminable Room
440(2)
1970 Donald Knuth and Mastermind
442(2)
1971 Erdos and Extreme Collaboration
444(2)
1972 HP-35: First Scientific Pocket Calculator
446(2)
1973 Penrose Tiles
448(2)
1973 Art Gallery Theorem
450(2)
1974 Rubik's Cube
452(2)
1974 Chaitin's Omega
454(2)
1974 Surreal Numbers
456(2)
1974 Perko Knots
458(2)
1975 Fractals
460(2)
1975 Feigenbaum Constant
462(2)
1977 Public-Key Cryptography
464(2)
1977 Szilassi Polyhedron
466(2)
1979 Ikeda Attractor
468(2)
1979 Spidrons
470(2)
1980 Mandelbrot Set
472(2)
1981 Monster Group
474(2)
1982 Ball Triangle Picking
476(2)
1984 Jones Polynomial
478(2)
1985 Weeks Manifold
480(2)
1985 Andrica's Conjecture
482(2)
1985 The ABC Conjecture
484(2)
1986 Audioactive Sequence
486(2)
1988 Mathematica
488(2)
1988 Murphy's Law and Knots
490(2)
1989 Butterfly Curve
492(2)
1996 The On-Line Encyclopedia of Integer Sequences
494(2)
1999 Eternity Puzzle
496(2)
1999 Perfect Magic Tesseract
498(2)
1999 Parrondo's Paradox
500(2)
1999 Solving of the Holyhedron
502(2)
2001 Bed Sheet Problem
504(2)
2002 Solving the Game of Awari
506(2)
2002 Tetris Is NP-Complete
508(2)
2005 NUMB3RS
510(2)
2007 Checkers Is Solved
512(2)
2007 The Quest for Lie Group E8
514(2)
2007 Mathematical Universe Hypothesis
516(2)
Notes and Further Reading 518(8)
Index 526(2)
Photo Credits 528
Clifford A. Pickover received his PhD from Yale in Biophysics and Biochemistry and has written more than 40 books and over 200 articles. Currently, he is a writer, editor for a scientific journal and serves on the editorial board for Odyssey, Leonardo and YLEM. His research has received considerable media attention.