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

## Problems and Solutions in Euclidean Geometry

**Author**: M. N. Aref,William Wernick**Publisher:**Courier Corporation**ISBN:**0486477207**Category:**Mathematics**Page:**258**View:**8142

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

**Author**: Jacob T. Schwartz**Publisher:**Courier Dover Publications**ISBN:**0486835596**Category:**Mathematics**Page:**304**View:**8493

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.

## The Solution of Equations in Integers

**Author**: A. O. Gelfond**Publisher:**Courier Dover Publications**ISBN:**0486824594**Category:**Mathematics**Page:**80**View:**1979

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.

## The Functions of Mathematical Physics

**Author**: Harry Hochstadt**Publisher:**Courier Corporation**ISBN:**0486652149**Category:**Science**Page:**322**View:**4595

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**Publisher:**Courier Corporation**ISBN:**0486800695**Category:**Mathematics**Page:**176**View:**4522

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.

## 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:**4510

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.

## An Introduction to the Theory of Elasticity

**Author**: R. J. Atkin,N. Fox**Publisher:**Courier Corporation**ISBN:**0486150992**Category:**Science**Page:**272**View:**5870

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.

## Challenging Mathematical Problems with Elementary Solutions

**Author**: A. M. Yaglom,I. M. Yaglom**Publisher:**Courier Corporation**ISBN:**0486318575**Category:**Mathematics**Page:**239**View:**1116

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.

## A Bridge to Advanced Mathematics

**Author**: Dennis Sentilles**Publisher:**Courier Corporation**ISBN:**0486277585**Category:**Mathematics**Page:**416**View:**8863

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.

## An Introduction to Differential Geometry

**Author**: T. J. Willmore**Publisher:**Courier Corporation**ISBN:**0486282104**Category:**Mathematics**Page:**336**View:**4916

This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, and elements of Riemannian geometry. 1959 edition.

## Non-Linear Elastic Deformations

**Author**: R. W. Ogden**Publisher:**Courier Corporation**ISBN:**0486318710**Category:**Technology & Engineering**Page:**544**View:**4930

Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.

## Introduction to Non-Euclidean Geometry

**Author**: Harold E. Wolfe**Publisher:**Courier Corporation**ISBN:**0486320375**Category:**Mathematics**Page:**272**View:**2621

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.

## Famous Problems of Geometry and How to Solve Them

**Author**: Benjamin Bold**Publisher:**Courier Corporation**ISBN:**0486137635**Category:**Science**Page:**144**View:**6533

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.

## How to Solve Applied Mathematics Problems

**Author**: B. L. Moiseiwitsch**Publisher:**Courier Corporation**ISBN:**0486285227**Category:**Mathematics**Page:**336**View:**3335

This workbook bridges the gap between lectures and practical applications, offering students of mathematics, engineering, and physics the chance to practice solving problems from a wide variety of fields. 2011 edition.

## The USSR Olympiad Problem Book

*Selected Problems and Theorems of Elementary Mathematics*

**Author**: D. O. Shklarsky,N. N. Chentzov,I. M. Yaglom**Publisher:**Courier Corporation**ISBN:**0486319865**Category:**Mathematics**Page:**480**View:**9342

Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from Mathematical Olympiads held at Moscow University. Only high school math needed. Includes complete solutions. Features 27 black-and-white illustrations. 1962 edition.

## Ingenious Mathematical Problems and Methods

**Author**: Louis A. Graham**Publisher:**Courier Corporation**ISBN:**0486282937**Category:**Mathematics**Page:**246**View:**7990

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.

## Mathematical Logic

**Author**: Stephen Cole Kleene**Publisher:**Courier Corporation**ISBN:**0486317072**Category:**Mathematics**Page:**416**View:**5509

Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

## Foundations and Fundamental Concepts of Mathematics

**Author**: Howard Eves**Publisher:**Courier Corporation**ISBN:**048613220X**Category:**Mathematics**Page:**368**View:**4870

Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography.

## Taxicab Geometry

*An Adventure in Non-Euclidean Geometry*

**Author**: Eugene F. Krause**Publisher:**Courier Corporation**ISBN:**048613606X**Category:**Mathematics**Page:**96**View:**1488

Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Illustrated topics include applications to urban geography and comparisons to Euclidean geometry. Selected answers to problems.