Differential Calculus and Its Applications

Author: Michael J. Field

Publisher: Courier Corporation

ISBN: 0486298841

Category: Mathematics

Page: 336

View: 4670

Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. 1976 edition.
Posted in Mathematics

An Introduction to Differential Equations and Their Applications

Author: Stanley J. Farlow

Publisher: Courier Corporation

ISBN: 0486135136

Category: Mathematics

Page: 640

View: 7962

This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.
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Essential Calculus with Applications

Author: Richard A. Silverman

Publisher: Courier Corporation

ISBN: 0486318591

Category: Mathematics

Page: 320

View: 7946

Calculus is an extremely powerful tool for solving a host of practical problems in fields as diverse as physics, biology, and economics, to mention just a few. In this rigorous but accessible text, a noted mathematician introduces undergraduate-level students to the problem-solving techniques that make a working knowledge of calculus indispensable for any mathematician. The author first applies the necessary mathematical background, including sets, inequalities, absolute value, mathematical induction, and other "precalculus" material. Chapter Two begins the actual study of differential calculus with a discussion of the key concept of function, and a thorough treatment of derivatives and limits. In Chapter Three differentiation is used as a tool; among the topics covered here are velocity, continuous and differentiable functions, the indefinite integral, local extrema, and concrete optimization problems. Chapter Four treats integral calculus, employing the standard definition of the Riemann integral, and deals with the mean value theorem for integrals, the main techniques of integration, and improper integrals. Chapter Five offers a brief introduction to differential equations and their applications, including problems of growth, decay, and motion. The final chapter is devoted to the differential calculus of functions of several variables. Numerous problems and answers, and a newly added section of "Supplementary Hints and Answers," enable the student to test his grasp of the material before going on. Concise and well written, this text is ideal as a primary text or as a refresher for anyone wishing to review the fundamentals of this crucial discipline.
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Calculus of Variations

With Applications to Physics and Engineering

Author: Robert Weinstock

Publisher: Courier Corporation

ISBN: 9780486630694

Category: Mathematics

Page: 326

View: 6183

This text is basically divided into two parts. Chapters 1–4 include background material, basic theorems and isoperimetric problems. Chapters 5–12 are devoted to applications, geometrical optics, particle dynamics, the theory of elasticity, electrostatics, quantum mechanics, and other topics. Exercises in each chapter. 1952 edition.
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Differential Forms with Applications to the Physical Sciences

Author: Harley Flanders

Publisher: Courier Corporation

ISBN: 0486139611

Category: Mathematics

Page: 240

View: 9725

A graduate-level text utilizing exterior differential forms in the analysis of a variety of mathematical problems in the physical and engineering sciences. Includes 45 illustrations. Index.
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Stochastic Differential Equations and Applications

Author: Avner Friedman

Publisher: Courier Corporation

ISBN: 0486141128

Category: Mathematics

Page: 560

View: 5807

Originally published in 2 volumes, this text develops the theory of systems of stochastic differential equations and presents applications in probability, partial differential equations, and stochastic control problems. 1975 edition.
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Introduction to Partial Differential Equations with Applications

Author: E. C. Zachmanoglou,Dale W. Thoe

Publisher: Courier Corporation

ISBN: 048613217X

Category: Mathematics

Page: 432

View: 9102

This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
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Kronecker Products and Matrix Calculus with Applications

Author: Alexander Graham

Publisher: Courier Dover Publications

ISBN: 0486824179

Category: Mathematics

Page: 144

View: 4669

Enhanced by many worked examples, problems, and solutions, this in-depth text is suitable for undergraduates and presents a great deal of information previously only available in specialized and hard-to-find texts. 1981 edition.
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Lectures on Functional Equations and Their Applications

Author: J. Aczel,Hansjorg Oser

Publisher: Courier Corporation

ISBN: 0486445232

Category: Mathematics

Page: 510

View: 908

Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.
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The Fractional Calculus

Theory and Applications of Differentiation and Integration to Arbitrary Order

Author: Keith B. Oldham,Jerome Spanier

Publisher: N.A

ISBN: 9780486450018

Category: Mathematics

Page: 234

View: 6789

The product of a collaboration between a mathematician and a chemist, this text is geared toward advanced undergraduates and graduate students. Not only does it explain the theory underlying the properties of the generalized operator, but it also illustrates the wide variety of fields to which these ideas may be applied. Rather than an exhaustive treatment, it represents an introduction that will appeal to a broad spectrum of students. Accordingly, the mathematics is kept as simple as possible. The first of the two-part treatment deals principally with the general properties of differintegral operators. The second half is mainly oriented toward the applications of these properties to mathematical and other problems. Topics include integer order, simple and complex functions, semiderivatives and semi-integrals, and transcendental functions. The text concludes with overviews of applications in the classical calculus and diffusion problems.
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Laplace Transforms and Their Applications to Differential Equations

Author: N.W. McLachlan

Publisher: Courier Corporation

ISBN: 0486798232

Category: Mathematics

Page: 240

View: 2829

Classic graduate-level exposition covers theory and applications to ordinary and partial differential equations. Includes derivation of Laplace transforms of various functions, Laplace transform for a finite interval, and more. 1948 edition.
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Operational Calculus in Two Variables and Its Applications

Author: V.A. Ditkin,A.P. Prudnikov

Publisher: Courier Dover Publications

ISBN: 0486823415

Category: Mathematics

Page: 176

View: 8174

Concise treatment of fundamental theory explores two-dimensional Laplace transform and basic definitions, theorems, applications of operational calculus in two variables. Includes tables of formulae for various categories of functions. 1962 edition.
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Differential Games

A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization

Author: Rufus Isaacs

Publisher: Courier Corporation

ISBN: 0486135985

Category: Mathematics

Page: 416

View: 8680

Definitive work draws on game theory, calculus of variations, and control theory to solve an array of problems: military, pursuit and evasion, athletic contests, many more. Detailed examples, formal calculations. 1965 edition.
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Modern Calculus and Analytic Geometry

Author: Richard A. Silverman

Publisher: Courier Corporation

ISBN: 0486793982

Category: Mathematics

Page: 1056

View: 2481

A self-contained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous worked-out examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory — many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This well-organized, unified text is copiously illustrated, amply cross-referenced, and fully indexed.
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Calculus

Problems and Solutions

Author: A. Ginzburg

Publisher: Courier Corporation

ISBN: 048616134X

Category: Mathematics

Page: 480

View: 7540

Ideal for self-instruction as well as for classroom use, this text improves understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. Over 1,200 problems, with hints and complete solutions. 1963 edition.
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Ordinary Differential Equations

An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences

Author: Morris Tenenbaum,Harry Pollard

Publisher: Courier Corporation

ISBN: 0486649407

Category: Mathematics

Page: 808

View: 2841

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
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Differential Equations with Applications

Author: Paul D. Ritger,Nicholas J. Rose

Publisher: Courier Corporation

ISBN: 9780486411545

Category: Mathematics

Page: 545

View: 5166

Coherent, balanced introductory text focuses on initial- and boundary-value problems, general properties of linear equations, and the differences between linear and nonlinear systems. Includes large number of illustrative examples worked out in detail and extensive sets of problems. Answers or hints to most problems appear at end.
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Vector and Tensor Analysis with Applications

Author: A. I. Borisenko,I. E. Tarapov

Publisher: Courier Corporation

ISBN: 0486131904

Category: Mathematics

Page: 288

View: 2591

Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.
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Introduction to Linear Algebra and Differential Equations

Author: John W. Dettman

Publisher: Courier Corporation

ISBN: 9780486651910

Category: Mathematics

Page: 404

View: 7094

Excellent introductory text for students with one year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
Posted in Mathematics