(Mentions the Department of Education findings that show the value of taking math courses in high school.) Devlin Keith, "Devlin's Angle: Naming Theorems," The Mathematical Association of , September, 2005; see Heinrich, 100 Great Problems of Elementary Mathematics: Their History and Solution (New York, Dover, 1965). (In which Keith Devlin discusses how mathematics has become so complicated that it sometimes cannot be understood even by the experts.) Pickover, Clifford, Wonders of Numbers (. Srinivasan, "Searching Behavior of Desert Ants, Genus Cataglyphis (Formicidae, Hymenoptera), Journal of Comparative Physiology A: Neuroethology, Sensory, Neural, and Behavioral Physiology, 142(3): 315-338, (September, 1981). Galvao, "Emergence of Prime Numbers as the Result of Evolutionary Strategy," Physical Review Letters 93(9): 098107-1 - 098107-4 (August, 2004). Peterson, Ivars, "Prime-Time Cicadas," Sciences News (online), 163(25), June 2003; see Leys, Jos, "Mathematical Imagery by Jos Leys"; see 18,000 BC) Bogoshi, Jonas, Kevin Naidoo, and John Webb, "The Oldest Mathematical Artifact," Mathematical Gazette, 71(458): 294 (1987).
So many thought-provoking questions are posed and answered in this beautifully illustrated book. Pickover reveals the magic and mystery behind some of the most significant mathematical milestones as well as the oddest objects and ideas humanity has ever contemplated, beginning in 150 million B. and ending with the latest cutting-edge breakthroughs. Explore the mysteries of mathematics as the adventure unfolds over 1000s of years. 1950) • Prisoner's Dilemma (1950) • Cellular Automata (1952) • • Gilbreath's Conjecture (1958) • Turning a Sphere Inside Out (1958) • Platonic Billiards (1958) • Outer Billiards (1959) • Newcomb's Paradox (1960) • Sierpinski Numbers (1960) • Chaos and the Butterfly Effect (1963) • Ulam Spiral (1963) • Continuum Hypothesis Undecidability (1963) • Superegg (c.
Mathematics has permeated every field of scientific endeavor. (Of course, the 100s of color images and mathematical milestones are credited and carefully described in the book. 1965) • Fuzzy Logic (1965) • Instant Insanity (1966) • • Surreal Numbers (1974) • Perko Knots (1974) • Fractals (1975) • Feigenbaum Constant (1975) • Public-Key Cryptography (1977) • Szilassi Polyhedron (1977) • Ikeda Attractor (1979) • Spidrons (1979) • Mandelbrot Set (1980) • Monster Group (1981) • Ball Triangle Picking (1982) • Jones Polynomial (1984) • Weeks Manifold (1985) • • The ABC Conjecture (1985) • Audioactive Sequence (1986) • Mathematica (1988) • Murphy's Law and Knots (1988) • Butterfly Curve (1989) • The On-Line Encyclopedia of Integer Sequences (1996) • Eternity Puzzle (1999) • Perfect Magic Tesseract (1999) • Parrondo's Paradox (1999) • • Bed Sheet Problem (2001) • Solving the Game of Awari (2002) • Tetris is NP-Complete (2002) • NUMB3RS (2005) • Checkers is Solved (2007) • The Quest for Lie Group E8 (2007) • Mathematical Universe Hypothesis (2007) • Notes and Further Reading • About the Author My favorite combination of the Rubik's Cube and Menger Sponge, far too difficult for any human to solve, is the "Menger Rubik's Cube," pictured at right, by Petter Duvander. Swetz, Mathematical Association of America - Book review at The Australian: "Clifford A.
I highly recommend this book and look forward to future compilations that Dr. "A marvelous popular trot through some 250 great mathematical conundrums....
with wonderfully exotic names such as the Quadrature of the Lune, Borromean Rings, and Fermat's Spiral." --Sydney Morning Herald "Clifford Pickovers enthusiasm for all things mathematical is contagious! From evidence of a built-in pedometer in an ancient species of ant (dating from more than 150 million years ago) to the Mathematical Universe Hypothesis (advanced in 2007), this chronologically organized tour through 250 milestones in the history of mathematics provides a concise explanation of the featured theorem/formula/discovery alongside a colorfully evocative illustration.
I've compiled the following list that identifies some of the material I used to research and write this book.
Occasionally, I also provide a few extra notes (♪) of clarification in this section, which includes information culled from books, journals and Web sites.Journey with Pickover as he traces 250 achievements like ancient ant "odometers," the first abacus, the discovery of computer-generated fractals, and the quest for new dimensions. 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. Clifford Pickovers latest venture into the history of mathematics is such an endeavor. Pickover, a bona fide polymath who has written more than 40 books, elegantly sums up each mathematical feat...Here also are remarkable thinkers from Pythagoras and Euclid to modern-day math icon Martin Gardner and cosmologist Max Tegmark. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Entertaining introduction to many strange and surprising ideas....Friberg, Joran, Amazing Traces of a Babylonian Origin in Greek Mathematics (River Edge, : World Scientific, 2007). 1650 BC) Eves, Howard Whitley, Great Moments in Mathematics (Before 1650) (Washington, DC: Mathematical Association of America, 1983).Robins, Gary and Charles Shute, The Rhind Mathematical Papyrus: An Ancient Egyptian Text (New York: Dover, 1990). 1300 BC) ♪ Claudia Zaslavasky notes that a 3,300-year-old temple to the memory of Pharaoh Seti I has a tic-tac-toe-like board carved into it, along with other apparent game boards., Harold James Ruthren, A History of Board Games Other Than Chess (Oxford: Clarendon Press, 1952).Devlin Keith, "Devlin's Angle: What Can Mathematics Do for the Businessperson? "A commentary on Prime Numbers and Life Cycles of Periodical Cicadas," 3(2): 20821 (2000).