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Calculus of variations.

Calculus of variations. more books like this

by I. M. Gelfand, Sergei Vasil'evich Fomin

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.

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Calculus of a Single Variable

Calculus of a Single Variable more books like this

by Earl William Swokowski

This volume is comprised of chapters one through nine of "Calculus", 6th edition by Swokowski. This calculus book has been updated to include the calculator/computer technology that is reshaping the course. The text's features are its use of applications and examples and exercises to reinforce conceptualization of the subject matter.

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An Introduction to the Calculus of Variations

An Introduction to the Calculus of Variations more books like this

by Charles Fox

This graduate-level text introduces 1st and 2nd variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, Rayleigh-Ritz method, elasticity, variable end points, strong variations, more. Many illustrative examples. References. Index.

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Calculus of Variations

Calculus of Variations more books like this

by Robert Weinstock

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."

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Introduction to the Calculus of Variations

Introduction to the Calculus of Variations more books like this

by Hans Sagan

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.

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Calculus of variations with applications

Calculus of variations with applications more books like this

by George M. Ewing

Applications-oriented introduction to variational theory develops insight and promotes understanding of specialized books and research papers. Suitable for advanced undergraduate and graduate students as a primary or supplementary text. 1969 edition.

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Tensors, Differential Forms, and Variational Principles

Tensors, Differential Forms, and Variational Principles more books like this

by David Lovelock

Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.

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The Parsimonious Universe: Shape and Form in the Natural World

The Parsimonious Universe: Shape and Form in the Natural World more books like this

by Stefan Hildebrandt, Anthony Tromba

The variety of sizes, shapes, and irregularities in nature is endless. Through illustrations and text, the authors of The Parsimonious Universe describe the efforts by scientists and mathematicians since the Renaissance to identify and describe the basic laws underlying the shape of natural forms. Can one set of laws account for both the symmetry ...

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Variational methods in optimization

Variational methods in optimization more books like this

by Donald R Smith

Highly readable text elucidates applications of the chain rule of differentiation, integration by parts, parametric curves, line integrals, double integrals, and elementary differential equations. 1974 edition.

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Calculus of Variations

Calculus of Variations more books like this

by Lev D Elsgolc

This concise text offers an introduction to the fundamentals and standard methods of the calculus of variations. In addition to surveys of problems with fixed and movable boundaries, its subjects include practical direct methods for solution of variational problems. Each chapter features numerous illustrative problems, with solutions. 1961 edition ...

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Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems more books like this

by Michael Struwe

Hilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact ...

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Direct Methods in the Calculus of Variations more books like this

by Bernard Dacorogna

This book deals with the calculus of variations and presents the so called direct methods for proving existence of minima. It is divided into four main parts. The first one deals with the scalar case, i.e. with real-valued functions; it gives well known existence theorems and studies some of the classical necessary conditions such as Euler ...

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Elliptic Differential Equations and Obstacle Problems more books like this

by Giovanni Maria Troianiello

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Variational Principles and Methods in Theoretical Physics and Chemistry more books like this

by Robert K Nesbet

This book brings together the essential ideas and methods behind current applications of variational theory in theoretical physics and chemistry. The emphasis is on understanding physical and computational applications of variational methodology rather than on rigorous mathematical formalism. The text begins with an historical survey of familiar ...

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Applied Exterior Calculus more books like this

by Dominic Edelen

This book gives an applied introduction to exterior calculus for upper division undergraduates and beginning graduate students. Development is operational with an emphasis on computation proficiency and elementary geometric notions. Consideration is limited to local questions. The book also features fully worked out examples and problems with ...

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Lectures on the calculus of variations more books like this

by Oskar Bolza

Based on lectures delivered at the AMS meeting in 1901, this book describes the progress in calculus of variations made in the last 30 years of the nineteenth century. Among other topics, the author describes the landmark results of Weierstrass on sufficient conditions for the extremum of a functional in terms of the second variation. Also ...

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Derivatives and Integrals of Multivariable Functions more books like this

by Alberto Guzman

This work provides a systematic examination of derivatives and integrals of multivariable functions; it is suitable for a one-semester course in what is usually called advanced calculus of several variables. The approach taken here is similar to that of the author's previous text, "Continuous Functions of Vector Variables": specifically, ...

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Variational Methods for Structural Optimization more books like this

by Andrej Cherkaev

In recent decades, it has become possible to turn the design process into computer algorithms. By applying different computer oriented methods the topology and shape of structures can be optimized and thus designs systematically improved. These possibilities have stimulated an interest in the mathematical foundations of structural optimization. ...

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Calculus of a Single Variable more books like this

by Dick

This book is the product of one of several NSF-funded calculus curriculum projects underway throughout the United States. Like other reform calculus texts, the authors assume that the student has access to some type of calculator or computer algebra system, but the book is not tied to any particular calculator or software. The authors also employ ...

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Turnpike Properties in the Calculus of Variations and Optimal Control more books like this

by Alexander J Zaslavski

This book is devoted to the recent progress on the turnpike theory. The turnpike property was discovered by Paul A. Samuelson, who applied it to problems in mathematical economics in 1949. These properties were studied for optimal trajectories of models of economic dynamics determined by convex processes. In this monograph the author, a leading ...

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The Variational Approach to Fracture more books like this

by Blaise Bourdin

This volume offers a panorama of the variational approach to brittle fracture that has developed in the past eight years or so. The key concept dates back to Griffith and consists in viewing crack growth as the result of a competition between bulk and surface energy. Griffitha (TM)s insight in the light of the contemporary tools of the Calculus of ...

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The Calculus of Variations and Optimal Control more books like this

by George Leitmann

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An Introduction to G-Convergence more books like this

by Gianni Dal Maso

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Constrained Optimization in the Calculus of Variations and Optimal Control Theory more books like this

by John Gregory, Cantian Lin

A major problem in current applied mathematics is the lack of efficient and accurate techniques to solve optimization problems in the calculus of variations and optimal control theory. This book contains classical material in the field and unique theoretical and numerical methods for constrained problems. This book should be of interest to ...

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Techniques of Variational Analysis more books like this

by Jonathan M Borwein (Editor), Qiji J Zhu (Editor)

Variational arguments are classical techniques whose use can be traced back to the early development of the calculus of variations and further. Rooted in the physical principle of least action, they have wide applications in diverse fields. This book provides a concise account of the essential tools of infinite-dimensional first-order variational ...

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