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The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes
 
 
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The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes [Hardcover]

David Darling (Author)
4.8 out of 5 stars  See all reviews (5 customer reviews)

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Book Description

August 11, 2004
Praise for David Darling

The Universal Book of Astronomy

"A first-rate resource for readers and students of popular astronomy and general science. . . . Highly recommended."
-Library Journal

"A comprehensive survey and . . . a rare treat."
-Focus

The Complete Book of Spaceflight

"Darling's content and presentation will have any reader moving from entry to entry."
-The Observatory magazine

Life Everywhere

"This remarkable book exemplifies the best of today's popular science writing: it is lucid, informative, and thoroughly enjoyable."
-Science Books & Films

"An enthralling introduction to the new science of astrobiology."
-Lynn Margulis

Equations of Eternity

"One of the clearest and most eloquent expositions of the quantum conundrum and its philosophical and metaphysical implications that I have read recently."
-The New York Times

Deep Time

"A wonderful book. The perfect overview of the universe."
-Larry Niven

Frequently Bought Together

Customers buy this book with Gravity's Arc: The Story of Gravity from Aristotle to Einstein and Beyond $24.95

The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes + Gravity's Arc: The Story of Gravity from Aristotle to Einstein and Beyond


Editorial Reviews

From Booklist

Darling, who has written books about astronomy and science for young adults, has followed the successful formula found in his Universal Book of Astronomy (Wiley, 2004), to compile an encyclopedia of mathematical terms, concepts, and problems; short biographies of pioneering mathematicians; puzzles; diagrams; pictures; and history. Entries cover subjects ranging from the fairly simple (arithmetic) to the more complex (Cabali-Yau space). The goal is to present "the unusual and the outrageous, the fanciful and the fantastic: a compendium of the mathematics they didn't teach you in school." To this end, the book treats numerous topics one would not expect to find in more academic math dictionaries--illusions, classic chess problems, the 1884 novel Flatland, to give a few examples.

Entries are alphabetized and thoroughly cross-referenced. Some are as brief as a single sentence (for example, Congruent, Nonagon), while others are a page or more (Maze, Pi). The writing is accessible and provides enough information to assist the reader in understanding the term being described. An impressive list of references used to compile the entries is included at the end of the volume, along with the solutions to the mathematical puzzles referred to in the text. This resource would be appropriate for high-school, public, and academic libraries and could be considered a basic tool in this subject. Kathryn O'Gorman
Copyright © American Library Association. All rights reserved

From the Inside Flap

What makes a number weird, and why, as far as anyone can tell, aren’t weird numbers odd? What do monsters, moonshine, and 24-dimensional oranges have in common? Why couldn’t Sam Loyd get a patent for his famous fifteen puzzle? What is the significance of the statement "the smallest number not nameable in under ten words"? Can one infinity be larger than another?

If you are fascinated by the weird, the odd, the curious, and the just plain puzzling, it’s no wonder that you’re drawn to mathematics. And, if you can’t resist the urge to indulge these fascinations–and discover plenty of new ones while you’re at it–welcome to The Universal Book of Mathematics.

This unique, one-stop, A-to-Z resource is packed with more than 1,800 entries that cover everything from nuts-and-bolts math to the most arcane unsolved theorems, from profiles of notable mathematicians to intriguing puzzles, challenging games, and even math humor.

The noted astronomer and celebrated author David Darling has always been inspired by the impact of mathematics on the imagination. He has, therefore, taken this opportunity to expound on every significant number, shape, ratio, dimension, theorem, conjecture, set, and paradox in the mathematical universe. And he provides more in-depth information than the entire current crop of math dictionaries combined!

You’ll find stimulating discussions on the search for a fourth dimension and its impact on such authors as H. G. Wells and Edwin Abbott; the reality of imaginary numbers; parallel universes; and patterns in the heart of chaos. You’ll also discover the number that infects the whole of mathematics and places fundamental limits on what we can know; the "cloud" that surrounds every real number; and how to marry a sultan’s daughter.

The Universal Book of Mathematics is fully cross-referenced and brimming with all of the history, science, and numerical magic you need to make sense of everything from nothing to an infinite number of infinities. Whether you’re an amateur mathematician, a recreational math buff, or a dedicated student of numbers, this is the helpful resource, the entertaining pastime, and the indispensable reference you’ve been waiting for.


Product Details

  • Hardcover: 400 pages
  • Publisher: Wiley; 1 edition (August 11, 2004)
  • Language: English
  • ISBN-10: 0471270474
  • ISBN-13: 978-0471270478
  • Product Dimensions: 9.7 x 7.7 x 1 inches
  • Shipping Weight: 1.9 pounds (View shipping rates and policies)
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (5 customer reviews)
  • Amazon Best Sellers Rank: #774,574 in Books (See Top 100 in Books)

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20 of 20 people found the following review helpful:
5.0 out of 5 stars Everything you wanted to know about mathematics and far more, May 2, 2005
By 
Michael Bond (Shawnee, OK United States) - See all my reviews
(REAL NAME)   
This review is from: The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes (Hardcover)
From over 300 references, David Darling has compiled what I, a non-mathematician, consider to be an excellent encyclopedia of mathematics. There are over 1800 entries. There are simple definitions, more in-depth explanations, graphs and many photos. He illustrates well the application and appearance of many abstract mathematical concepts in the real world of art, architecture, etc.

In addition to the hundreds of 'pure' mathematical references, he also includes many entries that are fun for everyone. These entries include puzzles, games and tricks.

I enjoyed the background and historical information included in the biographies of the many mathematicians covered. Historical information about concepts and values, e.g. pi, is also included, such as the time Indiana almost voted to round pi off to 3.2!

This book would be an excellent library builder. It is hard to read straight through - I tried it and failed - but as reference and reading here and there it is great. It is good enough that I want to find his other references and check them out as well.
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10 of 11 people found the following review helpful:
5.0 out of 5 stars It is on my essential reference shelf, November 28, 2005
This review is from: The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes (Hardcover)
I enjoy reading mathematical dictionaries. Whether I read it from cover to cover or scattershot style, I always learn something new. In this dictionary, I learned about the "Seventeen or Bust" distributed computing project, where the goal of the project is to check the remaining seventeen possibilities to be the smallest Sierpinski number. I also was reminded of many other mathematical facts that I have encountered sometime in the past.
The manuscripts that I receive as co-editor of Journal of Recreational Mathematics contain a wide variety of mathematical ideas. To handle them all, it is necessary to keep a mathematical dictionary handy. Since this book is well written and has over 1,800 entries, I have placed it on my essential reference shelf.

Published in Journal of Recreational Mathematics, reprinted with permission.
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6 of 6 people found the following review helpful:
4.0 out of 5 stars The Lighter Side of Mathematics, November 29, 2007
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This encyclopedia of mathematics was quite worthwhile to read nevertheless.I expected an in-depth review of various famous math formulas and procedures for calculating numbers and short stories about the people who created them.Most of the items listed were interesting to read about.Yet,some were just trivial in nature.Based upon the glowing reviews,i felt compelled to investigate this book further.For the serious math student,this book is more crust than bread.For a book entitled,'Universal',it's fairly enclusive to the British and German mathematicians only. Now,puzzlers and ratzlers may be entertained by the charming entries within and even given the impetus to advance their research into weightier mathematic descriptions.However,this book only appears on the 'heavyside',not really enriching enough to nurture a sprouting engineer into fructation.A better title would simply be,"A Short History of Popular Mathematics and Puzzles".
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Inside This Book (learn more)
First Sentence:
A counting frame that started out, several thousand years ago, as rows of pebbles in the desert sands of the Middle East. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
cannonball problem, burr puzzle, compound polyhedron, uniform polyhedron, grid illusion, palindromic number, peg solitaire, hyperreal numbers, amicable pair, amicable numbers, digital root, truncated dodecahedron, mechanical puzzles, monster group, modem mathematics, aliquot parts, surreal numbers, triangular number, change ringing, distortion illusion, recreational mathematics, rising sequences, golden ratio, regular polytopes
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Leonhard Euler, Isaac Newton, Gottfried Leibniz, United States, Martin Gardner, World War, John Conway, David Hilbert, Henry Dudeney, Jan Wassenaar, New York, Scientific American, Robert Webb, Cambridge University, Jos Leys, Puzzle Australia, Georg Cantor, Johannes Kepler, Pierre de Fermat, Carl Gauss, Great Pyramid, Piet Hein, Sam Loyd, Albert Einstein, Arthur Cayley
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