Calculus of Variations (Dover Books on Mathematics) - Softcover

I. M. Gelfand; S. V. Fomin

Softcover

ISBN 10: 0486414485 ISBN 13: 9780486414485

Publisher: Dover Publications, 2000

Synopsis

This 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.

The first six chapters include the theory of fields and sufficient conditions for weak and strong extrema. Chapter seven considers the 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 two appendices.
 

• Comprehensive Coverage: Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book covers the elements of the Calculus of Variations in a form both easily understandable and sufficiently modern.
• Suitable for Different Levels: Whether readers are looking for a basic introduction or a more extensive treatment, this book caters to both needs. The first chapter provides a fundamental understanding, while the following chapters offer a complete university-level course.
• Diverse Topics Covered: Topics covered include the theory of fields, weak and strong extrema, systems with infinite degrees of freedom, and direct methods in the calculus of variations, offering a comprehensive exploration of the subject.
• Focus on Physical Applications: Considerable attention is devoted to physical applications of variational methods, such as canonical equations, variational principles of mechanics, and conservation laws, making the book relevant and practical.
• Thoughtful Learning Resources: The book includes specially crafted problems and exercises at the end of each chapter, allowing readers to further engage with the material. Additionally, the appendices and suggestions for supplementary reading provide additional resources for a deeper understanding.

With its clear explanations, practical applications, and comprehensive coverage, "Calculus of Variations" is an essential resource for advanced undergraduate and graduate students of mathematics and physics, providing a solid foundation in this fascinating field.

About this title

Language Notes

Text: English (translation)
Original Language: Russian

Edition details

• Publisher: Dover Publications
• Publication date: 2000
• Language: English
• ISBN 10: 0486414485
• ISBN 13: 9780486414485
• Binding: Paperback
• Number of pages: 256