the nature of mathematics dover books on mathematics

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The Nature Of Mathematics

Author : Philip E. B. Jourdain
ISBN : 9780486154961
Genre : Mathematics
File Size : 81. 98 MB
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Anyone interested in mathematics will appreciate this survey, which explores the distinction between the body of knowledge known as mathematics and the methods used in its discovery. 1913 edition.

The Nature And Power Of Mathematics

Author : Donald M. Davis
ISBN : 9780486152158
Genre : Mathematics
File Size : 73. 83 MB
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This captivating book explains some of the most fascinating ideas of mathematics to nonspecialists, focusing on non-Euclidean geometry, number theory, and fractals. Numerous illustrations. 1993 edition.

Concepts Of Modern Mathematics

Author : Ian Stewart
ISBN : 9780486134956
Genre : Mathematics
File Size : 51. 82 MB
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In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Mathematics And Logic

Author : Mark Kac
ISBN : 9780486670850
Genre : Philosophy
File Size : 43. 29 MB
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Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."

Mathematics And The Physical World

Author : Morris Kline
ISBN : 9780486136318
Genre : Mathematics
File Size : 79. 62 MB
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Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.

Great Ideas Of Modern Mathematics Their Nature And Use

Author : Jagjit Singh
ISBN : 0486205878
Genre : Science
File Size : 42. 17 MB
Format : PDF, ePub
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An explanation of the development and structure of the modern mathematics used in contemporary science

The Nature Of Mathematical Modeling

Author : Neil A. Gershenfeld
ISBN : 0521570956
Genre : Mathematics
File Size : 77. 17 MB
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This book first covers exact and approximate analytical techniques (ordinary differential and difference equations, partial differential equations, variational principles, stochastic processes); numerical methods (finite differences for ODE's and PDE's, finite elements, cellular automata); model inference based on observations (function fitting, data transforms, network architectures, search techniques, density estimation); as well as the special role of time in modeling (filtering and state estimation, hidden Markov processes, linear and nonlinear time series). Each of the topics in the book would be the worthy subject of a dedicated text, but only by presenting the material in this way is it possible to make so much material accessible to so many people. Each chapter presents a concise summary of the core results in an area, providing an orientation to what they can (and cannot) do, enough background to use them to solve typical problems, and pointers to access the literature for particular applications.

Basic Concepts Of Mathematics And Logic

Author : Michael C. Gemignani
ISBN : 9780486435060
Genre : Mathematics
File Size : 57. 56 MB
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This text emphasizes logic and the theory of sets. Students who take no further courses in the field will find it an excellent resource for developing an appreciation for the nature of mathematics. Others will discover the foundations for future studies — set theory, logic, counting, numbers, functions, and more. 1968 edition. 43 figures. 25 tables.

A Profile Of Mathematical Logic

Author : Howard DeLong
ISBN : 9780486139159
Genre : Mathematics
File Size : 73. 79 MB
Format : PDF, Kindle
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This introduction to mathematical logic explores philosophical issues and Gödel's Theorem. Its widespread influence extends to the author of Gödel, Escher, Bach, whose Pulitzer Prize–winning book was inspired by this work.

The Mathematics Of Games

Author : John D. Beasley
ISBN : 9780486151625
Genre : Mathematics
File Size : 37. 93 MB
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Lucid, instructive, and full of surprises, this book examines how simple mathematical analysis can throw unexpected light on games of every type, from poker to golf to the Rubik's cube. 1989 edition.

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