First six chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter seven considers application of variation methods to systems with infinite degrees of freedom, and Chapter eight deals with direct methods in the calculus of variations. Problems follow each chap... read more
Customers who bought this book also bought:
Our Editors also recommend:
An Introduction to the Calculus of Variations by L.A. Pars 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 by Lev D. Elsgolc 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.
Gauge Theory and Variational Principles by David Bleecker Covers principal fiber bundles and connections; curvature; particle fields, Lagrangians, and gauge invariance; inhomogeneous field equations; free Dirac electron fields; calculus on frame bundle; and unification of gauge fields and gravitation. 1981 edition
Two-Dimensional Calculus by Robert Osserman Two-dimensional calculus is vital to the mastery of the broader field, and this text presents an extensive treatment. Advantages include the thorough integration of linear algebra and development of geometric intuition. 1986 edition.
An Introduction to the Calculus of Variations by Charles Fox Highly regarded text for advanced undergraduate and graduate students explores first and second variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, elasticity, more. 1963 edition.
Technical Calculus with Analytic Geometry by Judith L. Gersting Well-conceived text with many special features covers functions and graphs, straight lines and conic sections, new coordinate systems, the derivative, much more. Many examples, exercises, practice problems, with answers. Advanced undergraduate/graduate-level. 1984 edition.
Calculus: An Intuitive and Physical Approach (Second Edition) by Morris Kline Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.
The Variational Principles of Mechanics by Cornelius Lanczos 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.
First six chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter seven considers application of variation methods to systems with infinite degrees of freedom, and Chapter eight deals with direct methods in the calculus of variations. Problems follow each chapter and the 2 appendices.
Reprint of the Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1963 edition.
This book was printed in the United States of America.
Dover books are made to last a lifetime. Our US book-manufacturing partners produce the highest quality books in the world and they create jobs for our fellow citizens. Manufacturing in the United States also ensures that our books are printed in an environmentally friendly fashion, on paper sourced from responsibly managed forests.