Search Results for "problems-and-solutions-in-euclidean-geometry-dover-books-on-mathematics"

Problems and Solutions in Euclidean Geometry

Problems and Solutions in Euclidean Geometry

  • Author: M. N. Aref,William Wernick
  • Publisher: Courier Corporation
  • ISBN: 0486477207
  • Category: Mathematics
  • Page: 258
  • View: 8054
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Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.

Lectures on the Mathematical Method in Analytical Economics

Lectures on the Mathematical Method in Analytical Economics

  • Author: Jacob T. Schwartz
  • Publisher: Courier Dover Publications
  • ISBN: 0486835596
  • Category: Mathematics
  • Page: 304
  • View: 1004
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An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.

Challenging Mathematical Problems with Elementary Solutions

Challenging Mathematical Problems with Elementary Solutions

  • Author: A. M. Yaglom,I. M. Yaglom
  • Publisher: Courier Corporation
  • ISBN: 0486318575
  • Category: Mathematics
  • Page: 239
  • View: 8993
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Volume I of a two-part series, this book features a broad spectrum of 100 challenging problems related to probability theory and combinatorial analysis. Most can be solved with elementary mathematics. Complete solutions.

Ingenious Mathematical Problems and Methods

Ingenious Mathematical Problems and Methods

  • Author: Louis A. Graham
  • Publisher: Courier Corporation
  • ISBN: 0486282937
  • Category: Mathematics
  • Page: 246
  • View: 8044
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Collection of 100 of the best submissions to a math puzzle column features problems in engineering situations, logic, number theory, and geometry. Most solutions include details of several different methods.

The Functions of Mathematical Physics

The Functions of Mathematical Physics

  • Author: Harry Hochstadt
  • Publisher: Courier Corporation
  • ISBN: 0486652149
  • Category: Science
  • Page: 322
  • View: 9420
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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.

Challenging Problems in Geometry

Challenging Problems in Geometry

  • Author: Alfred S. Posamentier,Charles T. Salkind
  • Publisher: Courier Corporation
  • ISBN: 0486134865
  • Category: Mathematics
  • Page: 256
  • View: 1404
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Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.

Famous Problems of Geometry and How to Solve Them

Famous Problems of Geometry and How to Solve Them

  • Author: Benjamin Bold
  • Publisher: Courier Corporation
  • ISBN: 0486137635
  • Category: Science
  • Page: 144
  • View: 4272
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Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.

The Solution of Equations in Integers

The Solution of Equations in Integers

  • Author: A. O. Gelfond
  • Publisher: Courier Dover Publications
  • ISBN: 048682988X
  • Category: Mathematics
  • Page: 80
  • View: 7610
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Covering applications to physics and engineering as well, this relatively elementary discussion of algebraic equations with integral coefficients and with more than one unknown will appeal to students and mathematicians from high school level onward. 1961 edition.

Introduction to Non-Euclidean Geometry

Introduction to Non-Euclidean Geometry

  • Author: Harold E. Wolfe
  • Publisher: Courier Corporation
  • ISBN: 0486320375
  • Category: Mathematics
  • Page: 272
  • View: 8437
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College-level text for elementary courses covers the fifth postulate, hyperbolic plane geometry and trigonometry, and elliptic plane geometry and trigonometry. Appendixes offer background on Euclidean geometry. Numerous exercises. 1945 edition.

The Geometry of René Descartes

The Geometry of René Descartes

with a Facsimile of the First Edition

  • Author: René Descartes
  • Publisher: Courier Corporation
  • ISBN: 0486158179
  • Category: Mathematics
  • Page: 272
  • View: 5635
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The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. "The greatest single step ever made in the progress of the exact sciences." — John Stuart Mill.