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Recreations in the Theory of NumbersWHILE the author was a student, an enthusiastic mathematics professor recommended to the class a book entitled Mathematical Recreations and Essays, by W. W. R. Ball. The students dutifully made a note of the title and most of them no doubt promptly forgot about it. Many years later when the book was mentioned to several of the author's own classes,... | | Mathematical RecreationsIN October, 1941, I was invited to give a course of lectures at the New School for Social Research in New York City on the general topic, "Mathematical Recreations." On these lectures this book is based.
It may also be regarded as a revised edition of my similar work, published in French, entitled, "La Mathematique des... | | Codes, Ciphers and Secret Writing (Test Your Code Breaking Skills)Experiment with cryptography — the science of secret writing. Cipher and decipher codes: transposition and polyalphabetical ciphers, famous codes, typewriter and telephone codes, codes that use playing cards, knots, and swizzle sticks...even invisible writing and sending messages through outer space. Hours of intrigue and challenge. 45... |
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| | Mathematical PuzzlingMany of those who read this book will be interested in the puzzles and investigations for their own sake. Everyone will, I trust, find some things that are new - perhaps even refreshing, And I hope that those who teach mathematics win find the collection especially useful. The problems will challenge and stimulate able youngsters in a way which... | | Essays on the Theory of NumbersTwo most important essays by the famous German mathematician: First provides an arithmetic, rigorous foundation for the irrational numbers, thereby a rigorous meaning of continuity in analysis. Second is an attempt to give logical basis for transfinite numbers and properties of the natural numbers.
MY attention was first directed toward... |
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The Science of Soap Films and Soap BubblesSuperb presentation of the molecular and macroscopic properties of soap films and bubbles, including many demonstrations that can be readily performed with simple household materials. Emphasis on application of soap films to solution of physical problems, e.g. the motorway and minimum area problems. Over 120 black-and-white illustrations, 41 color... | | Mathematics and LogicFascinating study considers the origins and nature of mathematics, its development and role in the history of scientific thinking, impact of high-speed computers, 20th-century changes in the foundations of mathematics and mathematical logic, mathematization of science and technology, much more. Compelling reading for anyone interested in the... | | The Analytic Art (Dover Books on Mathematics)This historic work consists of several treatises that developed the first consistent, coherent, and systematic conception of algebraic equations. Originally published in 1591, it pioneered the notion of using symbols of one kind (vowels) for unknowns and of another kind (consonants) for known quantities. Fran90is Viete was born in ... |
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