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Free PDF Divine Proportions: Rational Trigonometry to Universal GeometryBy N J Wildberger

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Divine Proportions: Rational Trigonometry to Universal GeometryBy N J Wildberger

Free PDF Divine Proportions: Rational Trigonometry to Universal GeometryBy N J Wildberger

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This revolutionary book establishes new foundations for trigonometry and Euclidean geometry. It shows how to replace transcendental trig functions with high school arithmetic and algebra to dramatically simplify the subject, increase accuracy in practical problems, and allow metrical geometry to be systematically developed over a general field. This new theory brings together geometry, algebra and number theory and sets out new directions for algebraic geometry, combinatorics, special functions and computer graphics. The treatment is careful and precise, with over one hundred theorems and 170 diagrams, and is meant for a mathematically mature audience. Gifted high school students will find most of the material accessible, although a few chapters require calculus. Applications include surveying and engineering problems, Platonic solids, spherical and cylindrical coordinate systems, and selected physics problems, such as projectile motion and Snell's law. Examples over finite fields are also included.

• Sales Rank: #1139154 in Books
• Published on: 2005-09-20
• Binding: Hardcover
• 320 pages

About the Author
N J Wildberger (PhD Yale 1984) is currently Associate Professor at UNSW in Sydney Australia, and has taught at Stanford University and the University of Toronto. His main research interests are Lie theory, representation theory and hypergroups. He has also done work in number theory, combinatorics and mathematical physics. He is married, and lives in Sydney with his wife Kim and daughter Ali. This is his first book.

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Divine Proportions: Rational Trigonometry to Universal GeometryBy N J Wildberger PDF

Divine Proportions: Rational Trigonometry to Universal GeometryBy N J Wildberger PDF

Divine Proportions: Rational Trigonometry to Universal GeometryBy N J Wildberger PDF

Divine Proportions: Rational Trigonometry to Universal GeometryBy N J Wildberger PDF

Ebook Free The Strategy Bridge: Theory for PracticeBy Colin S. Gray

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The Strategy Bridge: Theory for PracticeBy Colin S. Gray

Ebook Free The Strategy Bridge: Theory for PracticeBy Colin S. Gray

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The Strategy Bridge presents the general theory of strategy and explains the utility of this general theory for the particular strategies that strategists need to develop in order to meet their historically unique challenges. The book argues that strategy's general theory provides essential education for practicing strategists at all times and in all circumstances. As general theory, The Strategy Bridge is as relevant to understanding strategic behavior in the Peloponnesian War as it is for the conflicts of the twenty-first century.

The book proceeds from exposition of general strategic theory, to address three basic issue areas that are not at all well explained, let alone understood with a view to advancing better practice, in the extant literature. Specifically, The Strategy Bridge tackles the problems that harass and imperil strategic performance; probes deeply into the hugely underexamined subject of just what it is that the strategist produces-strategic effect; and 'joins up the dots' from theory through practice to consequences by means of a close examination of command performance.

The author takes a holistic view of strategy, and is rigorously attentive to the significance of the contexts within which and for which strategies are developed and applied. The Strategy Bridge regards the strategist as a hero, charged with the feasible, but awesomely difficult, task of converting the threat and use of force (for military strategy) into desired political consequences. The strategist seeks some control over the rival or enemy via strategic effect, the instrumental produce of his instrumental labors. In order to maximize his prospects for success, the practicing strategist requires all the educational assistance that strategic theory can provide.

• Sales Rank: #1733776 in Books
• Published on: 2011-01-15
• Original language: English
• Number of items: 1
• Dimensions: 6.40" h x 1.00" w x 9.30" l, 1.45 pounds
• Binding: Hardcover
• 336 pages

Review

"For any aspiring military officer, there could be no better book than this."--The RUSI Journal

About the Author

Dr. Colin S. Gray is Professor of International Politics and Strategic Studies at the University of Reading. He is a dual US-UK citizen and serves as an adviser in Washington, DC and London. Dr. Gray has taught at universities in Britain, Canada, and the US, has been Assistant Director of the International Institute for Strategic Studies, and worked with Herman Kahn at the Hudson Institute before founding the National Institute for Public Policy in Washington. From 1982 until 1987 he held a presidential appointment on the President's Advisory Committee on Arms Control and Disarmament.

The Strategy Bridge: Theory for PracticeBy Colin S. Gray PDF
The Strategy Bridge: Theory for PracticeBy Colin S. Gray EPub
The Strategy Bridge: Theory for PracticeBy Colin S. Gray Doc
The Strategy Bridge: Theory for PracticeBy Colin S. Gray iBooks
The Strategy Bridge: Theory for PracticeBy Colin S. Gray rtf
The Strategy Bridge: Theory for PracticeBy Colin S. Gray Mobipocket
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The Strategy Bridge: Theory for PracticeBy Colin S. Gray PDF

The Strategy Bridge: Theory for PracticeBy Colin S. Gray PDF

The Strategy Bridge: Theory for PracticeBy Colin S. Gray PDF

The Strategy Bridge: Theory for PracticeBy Colin S. Gray PDF