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The description for this book, An Essay Toward a Unified Theory of Special Functions. (AM-18), will be forthcoming.

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Describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case.

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Quantum mechanics is a subject that has captured the imagination of a range of thinkers. This book presents quantum field theory, and also offers a view of the theory and debates that surround the theory. It is aimed at students of physics as well as students of philosophy.

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This book introduces combinatorial analysis to the beginning student. The author begins with the theory of permutation and combinations and their applications to generating functions. In subsequent chapters, he presents Bell polynomials; the principle of inclusion and exclusion; the enumeration of permutations in cyclic representation; the theory o

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Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of p-adic analysis with important implications for number theory. Its main object is the study of G-series, that is, power series y=aij=0 Ajxj with coefficients in an algebraic number field K.

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This book provides a comprehensive introduction to the computational material that forms the underpinnings of the currently evolving set of brain models.

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This book is for students taking either a first-year graduate statistics course or an advanced undergraduate statistics course in Psychology. The book is highly user-friendly without sacrificing rigor, not only in anticipating students' questions, but also in paying attention to the introduction of new methods and notation.

(Hardback)

In a manner accessible to beginning undergraduates, this book introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, and more. Showing how experiments are used to test conjectures and prove theorems, it allows students to do original work on such problems.

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Shows how Adaptive Dynamics (AD) canonical equation can answer questions of interest in biology, engineering, and the social sciences, especially economics. This book looks at important features of evolutionary dynamics as viewed through the lens of AD.

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Focuses on heat equations associated with non self-adjoint uniformly elliptic operators. This book provides introductory materials for those unfamiliar with the underlying mathematics and background needed to understand the properties of heat equations. It then treats Lp properties of solutions to a wide class of heat equations.

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A survey of recent developments both in the classical and modern fields of the theory. Contents include: The complex analytic structure of the space of closed Riemann surfaces; Complex analysis on noncompact Riemann domains; Proof of the Teichmuller-Ahlfors theorem; The conformal mapping of Riemann surfaces; On certain coefficients of univalent fun

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Aims to develop from first principles Dancer's global bifurcation theory for one-parameter families of real-analytic operators in Banach spaces. This book shows that there are globally defined continuous and locally real-analytic curves of solutions.

(Hardback, 2nd edition)

This second edition has been prepared for readers who have taken at least one intermediate-level course in applied statistics in which the basic principles of factorial analysis of variance and multiple regression were discussed.

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A true scientific page-turner that traces a remarkable scientific breakthrough (the isolation of endorphins in the brain) as dedicated scientists race--not only with their fellow scientists--but against time and the profit hungry giant pharmaceutical companies.

(Hardback)

As he touches on the common elements of ancient technologyenergy, machines, mining, metallurgy, ceramics, agriculture, engineering, transportation, and communicationHumphrey asks questions central to understanding the impact of ancient tools on the modern world: What prompts change

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A fun, gruesomely fascinating and scientifically accurate guide to some of the most bizarre ways to die.

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"Engrossing... The prospect of using the structures an animal builds to extrapolate its cognitive capability is irresistible. Fortunately for readers, the levelheaded Goulds prove wonderful guides through these shadowy corridors, at once skeptical and reverent."--Boston Globe