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Differential Topology: First Steps

Автор: Wallace, Andrew
Название:  Differential Topology: First Steps
Издательство: Dover
Классификация:
ISBN: 0486785718
ISBN-13(EAN): 9780486785714
ISBN: 0-486-78571-8
ISBN-13(EAN): 978-0-486-78571-4
Страницы: 160
Вес: 0.149 кг.
Серия: Mathematics
Размер: 5 3/8 x 8 1/2
Основная тема: Topology
Поставляется из: США

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First Steps in Egyptian Hieroglyphics: A Book for Beginners

Автор: Budge E. A. Wallis
Название: First Steps in Egyptian Hieroglyphics: A Book for Beginners
ISBN: 0486430995 ISBN-13(EAN): 9780486430997
Издательство: Dover
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Цена: 1168 р.
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Описание: A comprehensive guide to reading and writing hieroglyphics.

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Ordinary differential equations

Автор: Tenenbaum, M. Pollard, H.
Название: Ordinary differential equations
ISBN: 0486649407 ISBN-13(EAN): 9780486649405
Издательство: Dover
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Цена: 2105 р.
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Описание:

This unusually well-written, skillfully organized introductory text provides an exhaustive survey of ordinary differential equations -- equations which express the relationship between variables and their derivatives. In a disarmingly simple, step-by-step style that never sacrifices mathematical rigor, the authors -- Morris Tenenbaum of Cornell University, and Harry Pollard of Purdue University -- introduce and explain complex, critically-important concepts to undergraduate students of mathematics, engineering and the sciences.
The book begins with a section that examines the origin of differential equations, defines basic terms and outlines the general solution of a differential equation-the solution that actually contains "every "solution of such an equation. Subsequent sections deal with such subjects as: integrating factors; dilution and accretion problems; the algebra of complex numbers; the linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas; and Picard's Method of Successive Approximations.
The book contains two exceptional chapters: one on series methods of solving differential equations, the second on numerical methods of solving differential equations. The first includes a discussion of the Legendre Differential Equation, Legendre Functions, Legendre Polynomials, the Bessel Differential Equation, and the Laguerre Differential Equation. Throughout the book, every term is clearly defined and every theorem lucidly and thoroughly analyzed, and there is an admirable balance between the "theory "of differential equations and their "application. "An abundance of solved problems and practice exercises enhances the value of "Ordinary Differential Equations "as a classroom text for undergraduate students and teaching professionals. The book concludes with an in-depth examination of existence and uniqueness theorems about a variety of differential equations, as well as an introduction to the theory of determinants and theorems about Wronskians.

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A First Course in Partial Differential Equations: with Complex Variables and Transform Methods

Автор: Weinberger, H. F.
Название: A First Course in Partial Differential Equations: with Complex Variables and Transform Methods
ISBN: 048668640X ISBN-13(EAN): 9780486686400
Издательство: Dover
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Цена: 2105 р.
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Описание: This popular text was created for a one-year undergraduate course or beginning graduate course in partial differential equations, including the elementary theory of complex variables. It employs a framework in which the general properties of partial differential equations, such as characteristics, domains of independence, and maximum principles, can be clearly seen. The only prerequisite is a good course in calculus.
Incorporating many of the techniques of applied mathematics, the book also contains most of the concepts of rigorous analysis usually found in a course in advanced calculus. These techniques and concepts are presented in a setting where their need is clear and their application immediate. Chapters I through IV cover the one-dimensional wave equation, linear second-order partial differential equations in two variables, some properties of elliptic and parabolic equations and separation of variables, and Fourier series. Chapters V through VIII address nonhomogeneous problems, problems in higher dimensions and multiple Fourier series, Sturm-Liouville theory, and general Fourier expansions and analytic functions of a complex variable.
The last four chapters are devoted to the evaluation of integrals by complex variable methods, solutions based on the Fourier and Laplace transforms, and numerical approximation methods. Numerous exercises are included throughout the text, with solutions at the back.

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A First Course in Topology: An Introduction to Mathematical Thinking

Автор: Conover, Robert
Название: A First Course in Topology: An Introduction to Mathematical Thinking
ISBN: 0486780015 ISBN-13(EAN): 9780486780016
Издательство: Dover
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Цена: 1168 р.
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Описание: Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects.
Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text.

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Ordinary Differential Equations and Stability Theory: An Introduction

Автор: Sanchez, David A.
Название: Ordinary Differential Equations and Stability Theory: An Introduction
ISBN: 0486638286 ISBN-13(EAN): 9780486638287
Издательство: Dover
Цена: 621 р.
Наличие на складе: Поставка под заказ.

Описание: This is a brief, modern introduction to the subject of ordinary differential equations, with an emphasis on stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for the advanced undergraduate or beginning graduate student who has had a first course in ordinary differential equations.
The author begins with a general discussion of the linear equation and develops the notions of a fundamental system of solutions, the Wronskian, and the corresponding fundamental matrix. He then introduces the nonhomogeneous linear equation and the important variation of parameters formula, by which, following a consideration of the nth-order linear equation, the solution of the nonhomogeneous nth-order linear equation is obtained. A chapter is then devoted to the linear equation with constant coefficients.
The two following chapters are introductory discussions of stability theory for autonomous and nonautonomous systems. Included here are two results for nonlinear systems, Liapunov's direct method, and some results for the second-order linear equation. The final chapter takes up the problems of the existence and uniqueness of solutions and related topics. Two appendixes -- "Series Solutions of Second-Order Linear Equations" and "Linear Systems with Periodic Coefficients" -- are also provided, and there are problems at the end of each chapter.

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Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems

Автор: Broman Arne
Название: Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems
ISBN: 048666158X ISBN-13(EAN): 9780486661582
Издательство: Dover
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Цена: 1012 р.
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Описание: This well-written, advanced-level text introduces students toFourier analysis and some of its applications. The self-contained treatment covers Fourier series, orthogonal systems, Fourier and Laplace transforms, Bessel functions, and partial differential equations of the first and second orders. Over260 exercises with solutions reinforce students' grasp of the material. 1970 edition."

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Ordinary Differential Equations and Their Solutions

Автор: Murphy George Moseley
Название: Ordinary Differential Equations and Their Solutions
ISBN: 0486485919 ISBN-13(EAN): 9780486485911
Издательство: Dover
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Цена: 1949 р.
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Описание: This volume presents most of the methods for solving ordinary differential equations and systematic arrangements of more than 2,000 equations and their solutions. Well-organized treatment and substantial variety of equations. 1960 edition.

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Numerical Solution of Partial Differential Equations by the Finite Element Method

Автор: Johnson Claes
Название: Numerical Solution of Partial Differential Equations by the Finite Element Method
ISBN: 048646900X ISBN-13(EAN): 9780486469003
Издательство: Dover
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Цена: 1480 р.
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Theory of Functionals and of Integral and Integro-Differential Equations

Автор: Volterra Vito
Название: Theory of Functionals and of Integral and Integro-Differential Equations
ISBN: 0486442845 ISBN-13(EAN): 9780486442846
Издательство: Dover
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Цена: 3906 р.
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Описание: A general theory of the functions depending on a continuous set of values of another function, this volume is based on the author's fundamental notion of the transition from a finite number of variables to a continually infinite number. Deals primarily with integral equations, and also addresses the calculus of variations. 1930 edition.

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Differential Geometry

Автор: Wardle K.
Название: Differential Geometry
ISBN: 0486462722 ISBN-13(EAN): 9780486462721
Издательство: Dover
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Цена: 777 р.
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Описание: This elementary account of the differential geometry of curves and surfaces in space deals with curvature and torsion, involutes and evolutes, curves on a surface, curvature of surfaces, and developable and ruled surfaces. The examples feature many special types of surfaces, and the numerous problems include complete solutions. 1965 edition.

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A Treatise on the Differential Geometry of Curves and Surfaces

Автор: Eisenhart Luther Pfahler
Название: A Treatise on the Differential Geometry of Curves and Surfaces
ISBN: 0486438201 ISBN-13(EAN): 9780486438207
Издательство: Dover
Цена: 5859 р.
Наличие на складе: Поставка под заказ.

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Plane Waves and Spherical Means Applied to Partial Differential Equations

Автор: John Fritz
Название: Plane Waves and Spherical Means Applied to Partial Differential Equations
ISBN: 048643804X ISBN-13(EAN): 9780486438047
Издательство: Dover
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Цена: 1012 р.
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Описание: Elementary and self-contained, this heterogeneous collection of results on partial differential equations employs certain elementary identities for plane and spherical integrals of an arbitrary function, showing how a variety of results on fairly general differential equations follow from those identities. The first chapter deals with the decomposition of arbitrary functions into functions of the type of plane waves. Succeeding chapters introduce the first application of the Radon transformation and examine the solution of the initial value problem for homogeneous hyperbolic equations with constant coefficients and the problem of determining a function from its integrals over spheres of radius 1. 1955 edition.

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