Items related to Differential Equations: Geometric Theory
Synopsis
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 opens with an extensive overview of the classical literature and covers point stability, periodic solutions, structural stability, and much more. 1957 edition.
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Differential Equations: Geometric Theory. Second edition
Seller: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
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Condition: Very Good. 2nd edition, 390 pp., Paperback, faint wear to spine else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1329157
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Differential Equations: Geometric Theory
Seller: HPB-Red, Dallas, TX, U.S.A.
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paperback. Condition: Acceptable. Connecting readers with great books since 1972. Used textbooks may not include companion materials such as access codes, etc. May have condition issues including wear and notes/highlighting. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_446982056
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Differntial Equations: Geometric Theory
Seller: Chequamegon Books, Washburn, WI, U.S.A.
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Paperback. Condition: Very Good+. 390 pages. unabridged republication of the second edition of 1963. ".investigates the area of nonlinear differential equations of the seond order.". ; 5 5/8 x 8 1/4 ". Seller Inventory # 90353
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Differential Equations : Geometric Theory, Second Edition
Published by
Dover Publications, Inc., New York, 1977
ISBN 10: 0486634639
ISBN 13: 9780486634630
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Paperback
Seller: About Books, Henderson, NV, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Fine condition. Reprint of the 1963 Second Edition. New York: Dover Publications, Inc., 1977. 5.5" wide by 8.25" tall. A bright, shiny, clean, square, tight copy. No store stamp, owner's name or bookplate. Pages are fresh and unmarked, apparently never read. No underlining. No highlighting. No margin notes. Flat spine. Quality softcover binding, with pages that are sewn (not glued) for many years of use. Contains a Preface and 12 sections: 1) Preliminary questions; 2) Existence theorems, general properties of the solutions; 3) Linear systems; 4) Stability; 5-7) The differential equation; 8) Periodic systems and their stability; 9) Two dimensional systems, simple critical points, the index, behavior at infinity; 10) Two dimensional systems, continued; 11) Differential equations of the second order; 12) Oscillations in systems of the second order, methods of approximation. Two appendices; I) Complement on matrices; II) Some Topological Complements. Problems. Bibliography. List of symbols. Index. . Reprint of the 1963 Second Edition. Trade Paperback. Fine condition. x, 390pp. Seller Inventory # 004806
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Differential Equations: Geometric Theory
Seller: Toscana Books, AUSTIN, TX, U.S.A.
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Paperback. Condition: new. Excellent Condition.Excels in customer satisfaction, prompt replies, and quality checks. Seller Inventory # Scanned0486634639
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Differential Equations: Geometric Theory
Published by
Dover Publications, Inc., New York, 1977
ISBN 10: 0486634639
ISBN 13: 9780486634630
Used
Trade Paperback
Seller: Past Pages, Oshawa, ON, Canada
Seller rating 5 out of 5 stars
Trade Paperback. Condition: Fine. Edmund V. Gillon Jr. (illustrator). Second Edition. 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. Size: 8vo - over 7¾" - 9¾" tall. Seller Inventory # 003194
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