Calculus of Variations (eBook)
240 Seiten
Dover Publications (Verlag)
978-0-486-13501-4 (ISBN)
Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws.The reader who merely wishes to become familiar with the most basic concepts and methods of the calculus of variations need only study the first chapter. Students wishing a more extensive treatment, however, will find the first six chapters comprise a complete university-level course in the subject, including the theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers the application of variational methods to the study of systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. The problems following each chapter were made specially for this English-language edition, and many of them comment further on corresponding parts of the text. Two appendices and suggestions for supplementary reading round out the text.Substantially revised and corrected by the translator, this inexpensive new edition will be welcomed by advanced undergraduate and graduate students of mathematics and physics.
Erscheint lt. Verlag | 26.4.2012 |
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Reihe/Serie | Dover Books on Mathematics |
Sprache | englisch |
Maße | 140 x 140 mm |
Gewicht | 268 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Schlagworte | Advanced Calculus • advanced material • advanced undergraduate • affordable • Analytical • Applications • applied math • Applied mathematics • bartle • bohm • books on differential forms • books on functional analysis • books on mathematical physics • books on math textbooks • Boundary conditions • Buck • Cambridge • chapra • classical mechanics • Colton • Conformal • contain simple • Coordinate Systems • corresponding • Courant • Covariant • Curvature • D'Alembert • Derivation • Derivatives • Differential Equations • differential forms • Differential Geometry • Dirac • discrete • Dover • Edwards • engineers • engineer scientist • Euler • Farlow • Fourier • Functional Analysis • hamiltonian • Hamming • heat equation • heat transfer • integrals • introductory • Invariant • Kay • Krantz • Lagrange • Lagrangian • linear algebra • Manifolds • manuals • Mappings • math background • Mathematical approach • Mathematical Methods • Mathematical Physics • mathematical rigor • Mathematicians • math major • math textbooks • MATLAB • Matrix • metric • Monographs • Noether • Notation • Numerical Methods • ordinary differential • partial differential • Physical Systems • Physicists • physics students • proofs • Python • quantum mechanics • Relativity • riemannian • Self-study • Shankar • Signal Processing • slight lack • Solutions • Spectral • stochastic • Surfaces • Symmetries • synge • Taylor • teach yourself • Tensor Analysis • tensor calculus • Tensors • terse • Textbook • Theorems • theoretical physics • Topological • transformations • Transforms • two-column • undergrad student • undergraduate level • Variables • Variational • Variations • Vectors • Vector Space • Weinberg • Weinstock |
ISBN-10 | 0-486-13501-2 / 0486135012 |
ISBN-13 | 978-0-486-13501-4 / 9780486135014 |
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