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Mathematical Notes, 29 Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paper

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The description for this book, Lectures on Fourier Integrals. (AM-42), will be forthcoming.

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The interplay between analysis on Lie groups and the theory of special functions is well known. This book deals with the case of the Heisenberg group and the related expansions in terms of Hermite, special Hermite, and Laguerre functions. It develops Littlewood-Paley-Stein theory for the expansions and uses the theory to prove multiplier theorems.

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These are notes of lectures given at Princeton University during the fall semester of 1969. The notes present an introduction to p-adic L-functions originated in Kubota-Leopoldt {10} as p-adic analogues of classical L-functions of Dirichlet.

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The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevan

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A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces. Whereas the earlier treatment was limited to results obtainable chiefly by one-dimensional methods, the more detailed analysis pres

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The arithmetic Riemann-Roch Theorem has been shown by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. This book gives an introduction to the necessary techniques, and presents a simplified and extended version of the proof.

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These lectures provide students and specialists with preliminary and valuable information from university courses and seminars in mathematics. This set gives new proof of the h-cobordism theorem that is different from the original proof presented by S. Smale. Originally published in 1965. The Princeton Legacy Library uses the latest print-on-dema

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Offers an introduction to the mathematical discipline known as the Theory of Games. This book opens by addressing 'matrix games'. It continues with a treatment of games in extensive form and also deals with games that have an infinite number of pure strategies for the two players. It features examples and exercises, and various historical notes.

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The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), will be forthcoming.

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By the international bestselling author of The Science of Happiness and The Secret Pulse of Time, a fresh exploration of Da Vinci's real "code"--science!

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One of the problems of biology is: what keeps competition between the various levels of natural selection from destroying the common interests to be gained from cooperation In this volume twelve scientists explore this question, presenting a survey of the current theoretical and empirical research in evolutionary biology.

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As the title indicates, the content of these notes is a lengthy construction of techniques devised to study specific differential geometric problems. In this introduction we state our main objectives and illustrate by examples some of their geometric implications.

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Starting with the elementary theory of Lie groups of matrices, this book arrives at the definition, elementary properties, and first applications of cohomological induction. It is based on a one-semester course given at the State University of New York, Stony Brook in fall, 1986.

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Within a single captivating narrative, John Bonner combines an intensely personal memoir of scientific progress and an overview of what we now know about living things. Bonner, a major participant in the development of biology as an experimental science, draws on his life-long study of slime molds for an understanding of the life cycle-the foundati

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