geometry from euclid to knots dover books on mathematics

Download Book Geometry From Euclid To Knots Dover Books On Mathematics in PDF format. You can Read Online Geometry From Euclid To Knots Dover Books On Mathematics here in PDF, EPUB, Mobi or Docx formats.

Geometry From Euclid To Knots

Author : Saul Stahl
ISBN : 9780486134987
Genre : Mathematics
File Size : 36. 28 MB
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This text provides a historical perspective on plane geometry and covers non-neutral Euclidean geometry, circles and regular polygons, projective geometry, symmetries, inversions, informal topology, and more. Includes 1,000 practice problems. Solutions available. 2003 edition.

Mathematics Old And New

Author : Saul Stahl
ISBN : 9780486807386
Genre : Mathematics
File Size : 87. 97 MB
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Introductory treatment for undergraduates provides insightful expositions of specific applications of mathematics and elements of mathematical history and culture. Topics include probability, statistics, voting systems game theory, geometry, Egyptian arithmetic, and more. 2016 edition.

Lectures On The Mathematical Method In Analytical Economics

Author : Jacob T. Schwartz
ISBN : 9780486835594
Genre : Mathematics
File Size : 30. 2 MB
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Early but still useful contribution to the science of mathematical economics explores the Leontif model and the technological basis of production, theory of business cycles, and neoclassical equilibrium theory. 1961 edition.

Hidden Connections And Double Meanings

Author : David Wells
ISBN : 9780486832647
Genre : Mathematics
File Size : 51. 44 MB
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You don't have to be a mathematician to appreciate these intriguing problems and puzzles, which focus on insight and imagination rather than technique. Includes hints and solutions.

The Functions Of Mathematical Physics

Author : Harry Hochstadt
ISBN : 9780486652146
Genre : Science
File Size : 49. 94 MB
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A modern classic, this clearly written, incisive textbook provides a comprehensive, detailed survey of the functions of mathematical physics, a field of study straddling the somewhat artificial boundary between pure and applied mathematics. In the 18th and 19th centuries, the theorists who devoted themselves to this field — pioneers such as Gauss, Euler, Fourier, Legendre, and Bessel — were searching for mathematical solutions to physical problems. Today, although most of the functions have practical applications, in areas ranging from the quantum-theoretical model of the atom to the vibrating membrane, some, such as those related to the theory of discontinuous groups, still remain of purely mathematical interest. Chapters One and Two examine orthogonal polynomials, with sections on such topics as the recurrence formula, the Christoffel-Darboux formula, the Weierstrass approximation theorem, and the application of Hermite polynomials to quantum mechanics. Chapter Three is devoted to the principal properties of the gamma function, including asymptotic expansions and Mellin-Barnes integrals. Chapter Four covers hypergeometric functions, including a review of linear differential equations with regular singular points, and a general method for finding integral representations. Chapters Five and Six are concerned with the Legendre functions and their use in the solutions of Laplace's equation in spherical coordinates, as well as problems in an n-dimension setting. Chapter Seven deals with confluent hypergeometric functions, and Chapter Eight examines, at length, the most important of these — the Bessel functions. Chapter Nine covers Hill's equations, including the expansion theorems.

Selected Topics In The Classical Theory Of Functions Of A Complex Variable

Author : Maurice Heins
ISBN : 9780486800691
Genre : Mathematics
File Size : 61. 40 MB
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Elegant and concise, this text explores properties of meromorphic functions, Picard theorem, harmonic and subharmonic functions, applications, and boundary behavior of the Riemann mapping function for simply connected Jordan regions. 1962 edition.

Rings And Homology

Author : James P. Jans
ISBN : 9780486801896
Genre : Mathematics
File Size : 20. 72 MB
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This concise text is geared toward students of mathematics who have completed a basic college course in algebra. Combining material on ring structure and homological algebra, the treatment offers advanced undergraduate and graduate students practice in the techniques of both areas. After a brief review of basic concepts, the text proceeds to an examination of ring structure, with particular attention to the structure of semisimple rings with minimum condition. Subsequent chapters develop certain elementary homological theories, introducing the functor Ext and exploring the various projective dimensions, global dimension, and duality theory. Each chapter concludes with a set of exercises.

An Introduction To The Theory Of Elasticity

Author : R. J. Atkin
ISBN : 9780486150994
Genre : Science
File Size : 21. 71 MB
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Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.

A Preface To Logic

Author : Morris R. Cohen
ISBN : 9780486801858
Genre : Philosophy
File Size : 54. 55 MB
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Concise and readable, this introductory treatment examines logic and the concept of abstract reasoning as applied to the empirical world, as well as logic and statistical method, probability, scientific models, and more. 1944 edition.

A Bridge To Advanced Mathematics

Author : Dennis Sentilles
ISBN : 9780486277585
Genre : Mathematics
File Size : 42. 8 MB
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This helpful "bridge" book offers students the foundations they need to understand advanced mathematics. The two-part treatment provides basic tools and covers sets, relations, functions, mathematical proofs and reasoning, more. 1975 edition.

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