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An Introduction to the Calculus of Variations

An Introduction to the Calculus of Variations

  • Author: Charles Fox
  • Publisher: Courier Corporation
  • ISBN: 9780486654997
  • Category: Mathematics
  • Page: 271
  • View: 2154
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In this highly regarded text for advanced undergraduate and graduate students, the author develops the calculus of variations both for its intrinsic interest and for its powerful applications to modern mathematical physics. Topics include first and second variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, elasticity, more. 1963 edition.

Introduction to the Calculus of Variations

Introduction to the Calculus of Variations

  • Author: Hans Sagan
  • Publisher: Courier Corporation
  • ISBN: 048613802X
  • Category: Mathematics
  • Page: 480
  • View: 6843
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Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.

Calculus of Variations

Calculus of Variations

  • Author: Lev D. Elsgolc
  • Publisher: Courier Corporation
  • ISBN: 0486154939
  • Category: Mathematics
  • Page: 192
  • View: 8220
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This text offers an introduction to the fundamentals and standard methods of the calculus of variations, covering fixed and movable boundaries, plus solutions of variational problems. 1961 edition.

Calculus of Variations

Calculus of Variations

With Applications to Physics and Engineering

  • Author: Robert Weinstock
  • Publisher: Courier Corporation
  • ISBN: 9780486630694
  • Category: Mathematics
  • Page: 326
  • View: 367
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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.

Calculus of Variations

Calculus of Variations

  • Author: Izrail Moiseevitch Gelfand,Serge? Vasil?evich Fomin,Richard A. Silverman
  • Publisher: Courier Corporation
  • ISBN: 9780486414485
  • Category: Mathematics
  • Page: 232
  • View: 1820
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Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom.Ideal for math and physics students.

An Introduction to the Calculus of Variations

An Introduction to the Calculus of Variations

  • Author: L.A. Pars
  • Publisher: Courier Corporation
  • ISBN: 0486165957
  • Category: Mathematics
  • Page: 368
  • View: 7429
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Clear, rigorous introductory treatment covers applications to geometry, dynamics, and physics. It focuses upon problems with one independent variable, connecting abstract theory with its use in concrete problems. 1962 edition.

Calculus of Variations

Calculus of Variations

Mechanics, Control and Other Applications

  • Author: Charles R. MacCluer
  • Publisher: Courier Corporation
  • ISBN: 0486278301
  • Category: Mathematics
  • Page: 272
  • View: 6175
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First truly up-to-date treatment offers a simple introduction to optimal control, linear-quadratic control design, and more. Broad perspective features numerous exercises, hints, outlines, and appendixes, including a practical discussion of MATLAB. 2005 edition.

Introduction to Nonlinear Differential and Integral Equations

Introduction to Nonlinear Differential and Integral Equations

  • Author: Harold Thayer Davis
  • Publisher: Courier Corporation
  • ISBN: 9780486609713
  • Category: Mathematics
  • Page: 566
  • View: 5783
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Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.

An Introduction to Algebraic Structures

An Introduction to Algebraic Structures

  • Author: Joseph Landin
  • Publisher: Courier Corporation
  • ISBN: 9780486659404
  • Category: Mathematics
  • Page: 247
  • View: 7018
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As the author notes in the preface, "The purpose of this book is to acquaint a broad spectrum of students with what is today known as 'abstract algebra.'" Written for a one-semester course, this self-contained text includes numerous examples designed to base the definitions and theorems on experience, to illustrate the theory with concrete examples in familiar contexts, and to give the student extensive computational practice.The first three chapters progress in a relatively leisurely fashion and include abundant detail to make them as comprehensible as possible. Chapter One provides a short course in sets and numbers for students lacking those prerequisites, rendering the book largely self-contained. While Chapters Four and Five are more challenging, they are well within the reach of the serious student.The exercises have been carefully chosen for maximum usefulness. Some are formal and manipulative, illustrating the theory and helping to develop computational skills. Others constitute an integral part of the theory, by asking the student to supply proofs or parts of proofs omitted from the text. Still others stretch mathematical imaginations by calling for both conjectures and proofs.Taken together, text and exercises comprise an excellent introduction to the power and elegance of abstract algebra. Now available in this inexpensive edition, the book is accessible to a wide range of students, who will find it an exceptionally valuable resource. Unabridged, corrected Dover (1989) republication of the edition published by Allyn and Bacon, Boston, 1969.

Special Functions and Their Applications

Special Functions and Their Applications

  • Author: Nikola? Nikolaevich Lebedev,Richard A. Silverman
  • Publisher: Courier Corporation
  • ISBN: 9780486606248
  • Category: Mathematics
  • Page: 308
  • View: 737
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The Russian mathematician views the theoretical and practical aspects of special functions and illustrates their significance in problem solving in physics and engineering