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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: 8526
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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: 8189
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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

With Applications to Physics and Engineering

  • Author: Robert Weinstock
  • Publisher: Courier Corporation
  • ISBN: 9780486630694
  • Category: Mathematics
  • Page: 326
  • View: 449
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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: 2315
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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.

Calculus of Variations

Calculus of Variations

  • Author: Lev D. Elsgolc
  • Publisher: Courier Corporation
  • ISBN: 0486154939
  • Category: Mathematics
  • Page: 192
  • View: 649
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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.

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: 8911
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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.

Einführung in die Himmelsmechanik

Einführung in die Himmelsmechanik

  • Author: Forest Ray Moulton
  • Publisher: Springer-Verlag
  • ISBN: 3663160483
  • Category: Science
  • Page: 416
  • View: 5523
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

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: 2633
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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.

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: 3130
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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.

Methoden der Mathematischen Physik

Methoden der Mathematischen Physik

  • Author: Richard Courant,David Hilbert
  • Publisher: Springer-Verlag
  • ISBN: 3642474349
  • Category: Mathematics
  • Page: N.A
  • View: 7106
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Variational Methods for Eigenvalue Problems

Variational Methods for Eigenvalue Problems

An Introduction to the Methods of Rayleigh, Ritz, Weinstein, and Aronszajn

  • Author: S. H. Gould
  • Publisher: Courier Corporation
  • ISBN: 0486165809
  • Category: Science
  • Page: 192
  • View: 2748
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Purely mathematical treatment offers simple exposition of general theory of variational methods with special reference to the vibrating plate. No math beyond basic calculus. Includes exercises. 1957 edition.

An Introduction to Algebraic Structures

An Introduction to Algebraic Structures

  • Author: Joseph Landin
  • Publisher: Courier Corporation
  • ISBN: 9780486659404
  • Category: Mathematics
  • Page: 247
  • View: 2019
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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.

Optimal Control Theory

Optimal Control Theory

An Introduction

  • Author: Donald E. Kirk
  • Publisher: Courier Corporation
  • ISBN: 9780486434841
  • Category: Technology & Engineering
  • Page: 452
  • View: 6438
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Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. Numerous problems, which introduce additional topics and illustrate basic concepts, appear throughout the text. Solution guide available upon request. 131 figures. 14 tables. 1970 edition.

Lectures on the Calculus of Variations

Lectures on the Calculus of Variations

  • Author: Oskar Bolza
  • Publisher: Courier Dover Publications
  • ISBN: 0486828875
  • Category: Mathematics
  • Page: 288
  • View: 584
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Pioneering modern treatise studies the development of the subject from Euler to Hilbert, addressing basic problems with sufficient generality and rigor to provide a sound introduction for serious study. 1904 edition.

Foundations of Modern Analysis

Foundations of Modern Analysis

  • Author: Avner Friedman
  • Publisher: Courier Corporation
  • ISBN: 9780486640624
  • Category: Mathematics
  • Page: 250
  • View: 8200
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Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.

First-order Logic

First-order Logic

  • Author: Raymond M. Smullyan
  • Publisher: Courier Corporation
  • ISBN: 9780486683706
  • Category: Mathematics
  • Page: 158
  • View: 1775
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Considered the best book in the field, this completely self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus in on the tableau point of view. Topics include trees, tableau method for propositional logic, Gentzen systems, more. Includes 144 illustrations.

Differentialgeometrie von Kurven und Flächen

Differentialgeometrie von Kurven und Flächen

  • Author: Manfredo P. do Carmo
  • Publisher: Springer-Verlag
  • ISBN: 3322850722
  • Category: Technology & Engineering
  • Page: 263
  • View: 599
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Inhalt: Kurven - Reguläre Flächen - Die Geometrie der Gauß-Abbildung - Die innere Geometrie von Flächen - Anhang

Advanced Calculus of Several Variables

Advanced Calculus of Several Variables

  • Author: Charles Henry Edwards
  • Publisher: Courier Corporation
  • ISBN: 9780486683362
  • Category: Mathematics
  • Page: 457
  • View: 2739
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Modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, ample attention is paid to the classical applications and computational methods. Hundreds of examples, problems and figures. 1973 edition.

Elementary Induction on Abstract Structures

Elementary Induction on Abstract Structures

  • Author: Yiannis N. Moschovakis
  • Publisher: Courier Corporation
  • ISBN: 0486152014
  • Category: Mathematics
  • Page: 240
  • View: 3662
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Well-written research monograph, recommended for students and professionals interested in model theory and definability theory. "Easy to use and a pleasure to read." — Bulletin of the American Mathematical Society. 1974 edition.

The Variational Principles of Mechanics

The Variational Principles of Mechanics

  • Author: Cornelius Lanczos
  • Publisher: Courier Corporation
  • ISBN: 0486134709
  • Category: Science
  • Page: 464
  • View: 1574
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Philosophic, less formalistic approach to analytical mechanics offers model of clear, scholarly exposition at graduate level with coverage of basics, calculus of variations, principle of virtual work, equations of motion, more.