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The Presence of Myth
"[An] important essay by a philosopher who more convincingly than any other I can think of demonstrates the continuing significance of his vocation in the life of our culture."—Karsten Harries, The New York Times Book Review With The Presence of Myth, Kolakowski demonstrates that no matter how hard man strives for purely rational thought, there has always been-and always will be-a reservoir of mythical images that lend "being" and "consciousness" a specifically human meaning. "Kolakowski undertakes a philosophy of culture which extends to all realms of human intercourse—intellectual, artistic, scientific, and emotional. . . . [His] book has real significance for today, and may well become a classic in the philosophy of culture."—Anglican Theological Review
Fewnomials
The ideology of the theory of fewnomials is the following: real varieties defined by "simple", not cumbersome, systems of equations should have a "simple" topology. One of the results of the theory is a real transcendental analogue of the Bezout theorem: for a large class of systems of *k transcendental equations in *k real variables, the number of roots is finite and can be explicitly estimated from above via the "complexity" of the system. A more general result is the construction of a category of real transcendental manifolds that resemble algebraic varieties in their properties. These results give new information on level sets of elementary functions and even on algebraic equations. The ...
Surgery on Compact Manifolds
The publication of this book in 1970 marked the culmination of a period in the history of the topology of manifolds. This edition, based on the original text, is supplemented by notes on subsequent developments and updated references and commentaries.
Recurrence in Ergodic Theory and Combinatorial Number Theory
Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory. Originally published in 1981. 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 paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Introduction to Stochastic Control Theory
Unabridged republication of the edition published by Academic Press, 1970.
Deterministic and Stochastic Optimal Control
This book may be regarded as consisting of two parts. In Chapters I-IV we pre sent what we regard as essential topics in an introduction to deterministic optimal control theory. This material has been used by the authors for one semester graduate-level courses at Brown University and the University of Kentucky. The simplest problem in calculus of variations is taken as the point of departure, in Chapter I. Chapters II, III, and IV deal with necessary conditions for an opti mum, existence and regularity theorems for optimal controls, and the method of dynamic programming. The beginning reader may find it useful first to learn the main results, corollaries, and examples. These tend to be found...
Golden & Grey (An Unremarkable Boy and a Rather Remarkable Ghost)
When a downhearted ghost becomes the "invisible friend" of an eleven-year-old boy who is an outcast in his new school, the two help each other find their place in their respective worlds.
