**Author**: I. M. Gelfand

**Publisher:**Courier Corporation

**ISBN:**0486135012

**Size**: 63.90 MB

**Format:**PDF, ePub, Docs

**Category :**Mathematics

**Languages :**en

**Pages :**240

**View:**817

**Book Description:**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 I

**Author**: Mariano Giaquinta

**Publisher:**Springer Science & Business Media

**ISBN:**9783540506256

**Size**: 75.28 MB

**Format:**PDF, ePub, Docs

**Category :**Mathematics

**Languages :**en

**Pages :**474

**View:**5071

**Book Description:**This two-volume treatise is a standard reference in the field. It pays special attention to the historical aspects and the origins partly in applied problems—such as those of geometric optics—of parts of the theory. It contains an introduction to each chapter, section, and subsection and an overview of the relevant literature in the footnotes and bibliography. It also includes an index of the examples used throughout the book.

## Introduction To The Calculus Of Variations

**Author**: Hans Sagan

**Publisher:**Courier Corporation

**ISBN:**048613802X

**Size**: 10.61 MB

**Format:**PDF, ePub

**Category :**Mathematics

**Languages :**en

**Pages :**480

**View:**4106

**Book Description:**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.

## An Introduction To The Calculus Of Variations

**Author**: Charles Fox

**Publisher:**Courier Corporation

**ISBN:**9780486654997

**Size**: 10.99 MB

**Format:**PDF, Mobi

**Category :**Mathematics

**Languages :**en

**Pages :**271

**View:**6173

**Book Description:**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.

## A First Course In The Calculus Of Variations

**Author**: Mark Kot

**Publisher:**American Mathematical Society

**ISBN:**1470414953

**Size**: 64.50 MB

**Format:**PDF, ePub

**Category :**Mathematics

**Languages :**en

**Pages :**298

**View:**2839

**Book Description:**This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.

## Calculus Of Variations

**Author**: Jurgen Jost

**Publisher:**Cambridge University Press

**ISBN:**9780521642033

**Size**: 15.76 MB

**Format:**PDF, Kindle

**Category :**Mathematics

**Languages :**en

**Pages :**323

**View:**2825

**Book Description:**Publisher Description

## Calculus Of Variations

**Author**: Robert Weinstock

**Publisher:**Courier Corporation

**ISBN:**0486141063

**Size**: 53.52 MB

**Format:**PDF, Kindle

**Category :**Mathematics

**Languages :**en

**Pages :**352

**View:**1395

**Book Description:**Basic introduction covering isoperimetric problems, theory of elasticity, quantum mechanics, electrostatics, geometrical optics, particle dynamics, more. Exercises throughout. "A very useful book." — J. L. Synge, American Mathematical Monthly.

## Calculus Of Variations With Applications

**Author**: A. S. GUPTA

**Publisher:**PHI Learning Pvt. Ltd.

**ISBN:**8120311205

**Size**: 11.25 MB

**Format:**PDF, Kindle

**Category :**Mathematics

**Languages :**en

**Pages :**256

**View:**4864

**Book Description:**Calculus of variations is one of the most important mathematical tools of great scientific significance used by scientistis and engineers. Unfortunately, a few books that are available are written at a level which is not easily comprehensible for postgraduate students.This book, written by a highly respected academic, presents the materials in a lucid manner so as to be within the easy grasp of the students with some background in calculus, differential equations and functional analysis. The aim is to give a thorough and systematic analysis of various aspects of calculus of variations.

## The Calculus Of Variations

**Author**: N.I. Akhiezer

**Publisher:**CRC Press

**ISBN:**9783718648054

**Size**: 45.12 MB

**Format:**PDF, ePub

**Category :**Mathematics

**Languages :**en

**Pages :**280

**View:**7366

**Book Description:**An authoritative text on the calculus of variations for first-year graduate students. From a study of the simplest problem it goes on to cover Lagrangian derivatives, Jacobi’s condition, and field theory. Devotes considerable attention to direct methods and the Sturm-Liouville problem in a finite interval. Contains numerous interesting and challenging exercises plus five appendices on important results, generalizations, and applications of the material,

## Calculus Of Variations

**Author**: Charles R. MacCluer

**Publisher:**Courier Corporation

**ISBN:**0486278301

**Size**: 38.19 MB

**Format:**PDF

**Category :**Mathematics

**Languages :**en

**Pages :**272

**View:**4138

**Book Description:**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.