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Using set theory in the first part of his book, and proof theory in the second, Gaisi Takeuti gives us two examples of how mathematical logic can be used to obtain results previously derived in less elegant fashion by other mathematical techniques, especially analysis. In Part One, he applies Scott- Solovay's Boolean-valued models of set theory to

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Here Roland Omnes offers a clear, up-to-date guide to the conceptual framework of quantum mechanics.

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Offers a historical reconstruction of the evolutionary synthesis of the 1930s and 1940s. This book argues that the evolutionary synthesis was part of a larger process of unifying the biological sciences. It suggests that the drive to unify the sciences of evolution and biology was part of a global philosophical movement toward unifying knowledge.

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Based on the "Hermann Weyl Lectures" given at the Institute for Advanced Study in January 1986. This title outlines some of what is known about irreducible unitary representations of real reductive groups, providing definitions and references, and sketches of most proofs.

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Written for those who are unencumbered by a fear of formulae, this volume presents a history of algebra that is intellectually satisfying and pleasantly challenging.

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Unnatural delves beneath the surface of the cultural history of 'anthropoeia' - the artificial creation of people - to explore what it tells us about our views on life, humanity, creativity and technology, and the soul.

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This is the history and inner workings of DNA, a tiny molecule that holds within it the deepest mysteries of life. The author predicts that DNA will shape our future, as we call upon it to convict criminals, clone creatures, and ultimately, cure cancer.

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Unraveling Reality scientifically shows that there is obscured reality behind the actuality we experience. Nature is an entertainment platform for a unified field of Consciousness with which we can harmonize and achieve enlightenment. Go to IshiNobu.com for more information.

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Provides clear presentations of more than 60 important unsolved problems in mathematical systems and control theory.

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This volume on neural network learning algorithms, focuses on neural network learning algorithms that do not require an explicit teacher. These algorithms provide insights into the development of the cerebral cortex and implicit learning in humans.

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The fascinating story of the substance that can sustain life--or destroy it--"Uranium" illustrates how the use of this mineral has shaped the modern world order.

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Describes twenty-nine practical experiments, detailing how they are done and the math and physics behind them. The experiments in this book cover a wide field of physics and the borders of chemistry, ranging from dynamic mechanics ('Kinetic Curiosities') to electricity ('Antediluvian Electronics') and combustion ('Infernal Inventions').

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Provides a comprehensive introduction to the theory and practice of validated numerics, a field that combines the strengths of scientific computing and pure mathematics. This title features many examples, exercises, and computer labs using MATLAB/C++. It is suitable for graduate students and advanced undergraduates.

(Hardback)

Provides a comprehensive introduction to the theory and practice of validated numerics, a field that combines the strengths of scientific computing and pure mathematics. This title features many examples, exercises, and computer labs using MATLAB/C++. It is suitable for graduate students and advanced undergraduates.

(Paperback)

The "Shapley value" of a finite multi- person game associates to each player the amount he should be willing to pay to participate. This book extends the value concept to certain classes of non-atomic games, which are infinite-person games in which no individual player has significance. It is primarily a book of mathematics--a study of non-additive

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Against an emerging landscape of intranets, extranets, virtual communities, and virtual reality, this book highlights the dangers of individuals or organizations becoming technology-rich but value blind.

(Hardback)

Against an emerging landscape of intranets, extranets, virtual communities, and virtual reality, this book highlights the dangers of individuals or organizations becoming technology-rich but value blind.