Written by a celebrated mathematician and teacher, this text investigates nonlinear differential equations of the second order. Geared toward upper-level undergraduates and graduate students, it addresses problems that also concern professional mathematicians, physicists, and engineers. The first four chapters on preliminary questions, existence theorems, linear systems, and stability provide an extensive overview of the classical literature. The next three chapters deal with point stability, placing considerable emphasis ...
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Written by a celebrated mathematician and teacher, this text investigates nonlinear differential equations of the second order. Geared toward upper-level undergraduates and graduate students, it addresses problems that also concern professional mathematicians, physicists, and engineers. The first four chapters on preliminary questions, existence theorems, linear systems, and stability provide an extensive overview of the classical literature. The next three chapters deal with point stability, placing considerable emphasis on the fundamental work of Liapunov. Chapter 8 discusses periodic solutions, and subsequent chapters cover two-dimensional systems. Chapters 9 and 10 are devoted to the results of Poincare and Bendixson: critical points, the index, behavior at infinity, and special systems. They also examine the important notion of structural stability and the contributions of Andronov-Pontrjagin and DeBaggis. The last two chapters concern equations of the second order--notably, the work of Cartwright-Littlewood, Levinson-Smith, and Levinson--and the application of the perturbation method. Two appendices--one on vectors and matrices, and the other on topology--conclude the text, along with a supplemental list of problems.
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Add this copy of Differential Equations: Geometric Theory to cart. $3.32, very good condition, Sold by ThriftBooks-Baltimore rated 4.0 out of 5 stars, ships from Halethorpe, MD, UNITED STATES, published 1977 by Dover Publications.
Add this copy of Differential Equations: Geometric Theory to cart. $10.00, very good condition, Sold by Robert Harper Books rated 5.0 out of 5 stars, ships from Hyattsville, MD, UNITED STATES, published 1977 by Dover Pubns.
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Add this copy of Differential Equations: Geometric Theory (Phoenix to cart. $14.99, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2005 by Dover Publications.
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Add this copy of Differential Equations: Geometric Theory, 2nd Edition to cart. $17.25, good condition, Sold by BookDepart rated 4.0 out of 5 stars, ships from Shepherdstown, WV, UNITED STATES, published 1962 by Interscience Publishers.
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UsedGood. Hardcover, 2nd edition; surplus library copy with the usual stampings; refe rence number written on spine; fading and shelf wear to exterior; corners b umped; in good condition with clean text, firm binding. No dust jacket.
Add this copy of Differential Equations: Geometric Theory to cart. $18.50, very good condition, Sold by Common Crow Books rated 5.0 out of 5 stars, ships from Pittsburgh, PA, UNITED STATES, published 1960 by Interscience Publishers.
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Very Good. Second edition, ca. 1960. 8vo, hardcover, x + 390 pp. No dust jacket. Includes index and bibliography. Very Good, previous owner's signature on title page--otherwise text is clean and unmarked. Some age-toning and minor discoloration to page edges. Light edge wear to cover.
Add this copy of Differential Equations: Geometric Theory to cart. $21.73, fair condition, Sold by Anybook rated 4.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1977 by Dover Publications Inc.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. Clean from markings. In fair condition, suitable as a study copy. Re-bound by library. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 600grams, ISBN: 0486634639.
Add this copy of Differential Equations: Geometric Theory to cart. $22.20, fair condition, Sold by Anybook rated 4.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1957 by Interscience Publishers.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. Clean from markings. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 800grams, ISBN:
Add this copy of Differential Equations: Geometric Theory to cart. $55.37, like new condition, Sold by Lisa Van Munster rated 5.0 out of 5 stars, ships from Oshawa, ON, CANADA, published 1977 by Dover Publications, Inc..
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Edmund V. Gillon Jr. Fine. 8vo-over 7¾"-9¾" tall. Light Creasing on Front Cover; Spine Lightly Chipped; Edges Lightly Soiled. ALSO KNOWN AS: This Dover edition, first published in 1977, is an unabridged republication of the second (1963) edition of the work originally published by Interscience Publishers in 1957 as Volume VI of the Interscience Pure and Applied Mathematics Series. CONTENTS: Preface; I Preliminary Questions; II Existence Theorems. General Properties of the Solutions; III Linear Systems; IV Stability; V The Differential Equation dx/dt = Px + q(x; t); VI The Differential Equation dx/dt = Px + q(x; y); VII The Differential Equation dx/dt = P(t)z + q(x; t); VIII Periodic Systems and Their Stability; IX Two Dimensional Systems. Simple Critical Points. The Index. Behavior at Infinity; X Two Dimensional Systems (continued); XI Differential Equations of the Second Order; XII Oscillations in Systems of the Second Order. Methods of Approximation; Appendix I Complement on Matrices; Appendix II Some Topological Complements Problems; Bibliography; List of Principal Symbols; Index. SYNOPSIS: This book investigates the area of nonlinear differential equations of the second order. Professor Lefschetz is interested in the important group of problems stirred up over a generation ago by Van der Pol, problems that still concern students, professional mathematicians, physicists, and engineers. The first four chapters on preliminary questions, existence theorems, linear systems, and stability provide a thorough and comprehensive coverage of the classical literature. The next three chapters deal with point stability, and considerable emphasis is given to the fundamental work of Liapunov, particularly to his so-called direct method, and to his Soviet disciples, noted authorities in this field. In Chapter 8 the discussion of periodic solutions--the n dimensional part is concluded. The remaining chapters cover two-dimensional systems. Chapters 9 and 10 are devoted to the results of Poincare and Bendixson: critical points, the index, behavior at infinity, some special systems. Also included here are the important notion of structural stability and the contributions of Andronov-Pontrjagin and DeBaggis. The last two chapters concern equations of the second order: notably, the work of Cartwright-Littleword, Levinson-Smith and Levinson, and the application of the perturbation method. There are two appendices, one on vectors and matrices, the other on topology. The book concludes with a list of problems that function as logical extensions of topics discussed in the body of the text. The late Solomon Lefschetz, a prominent authority in the field of differential equations, was Chairman of the Mathematics Department at Princeton University from 1945-53, and its Henry Burchardt Fine Professor of Mathematics, Emeritus. Former President of the American Mathematical Society and editor of Annals of Mathematics, he directed the Center for Differential Equations, RIAS, Baltimore.
Add this copy of Differential Equations: Geometric Theory to cart. $98.76, new condition, Sold by GridFreed rated 4.0 out of 5 stars, ships from North Las Vegas, NV, UNITED STATES, published 1977 by Dover Pubns.
