Isbn: 9780486432588 - perturbation techniques in mathematics (dover books on physics) (27 resultados)

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Paperback. Condición: new. Paperback. Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces a series of interesting and scientifically significant problems, indicates useful solutions, and supplies a guide to further reading. Intermediate calculus and basic grasp of ordinary differential equations are prerequisites. 1966 edition. Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces scientifically significant problems and indicates useful solutions. 1966 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

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Condición: New. pp. viii + 118 Illus.

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Condición: New. Inhaltsverzeichnisrnrn1. Classical Perturbation Techniquesn2. Periodic Solutions of Nonlinear Differential Equations and Renormalization Techniquesn3. The Liouville-WKB Approximation and Asymptotic Seriesn Subject Index. Author Index.

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Paperback. Condición: new. Paperback. An introduction to a variety of perturbation techniques for ordinary differential equations, this work outlines applications through specific examples. Mathematicians, engineers, and applied scientists will find its exposition entirely accessible.The first part covers the classical perturbation techniques. Dr. Bellman begins with a readily solved linear algebraic equation that exhibits some of the versatility of the Lagrange expansion theorem. This leads by easy stages to a discussion of the matrix exponential and to a brief excursion into the domain of Poincare and Lyapunov, where invariant imbedding is illustrated. Subsequent discussions of alternative perturbation techniques employ dynamic programming. The second chapter concentrates on nonlinear differential equations, presenting renormalization techniques of Lindstedt and Shohat and averaging techniques by Bellman and Richardson. The concluding chapter considers a variety of questions centering on a second-order linear differential equation, explaining the applications of the WKB-Liouville method and asymptotic series.Exercises, comments, and an annotated bibliography follow each demonstration of technique. The text presupposes a course in intermediate calculus and rudiments of the theory of ordinary differential equations. For the engineer, physicist, or mathematician working in fields requiring the solution of differential equations, this text provides a stimulating introduction to analytical approximation techniques. Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces scientifically significant problems and indicates useful solutions. 1966 edition. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Paperback. Condición: new. Paperback. Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces a series of interesting and scientifically significant problems, indicates useful solutions, and supplies a guide to further reading. Intermediate calculus and basic grasp of ordinary differential equations are prerequisites. 1966 edition. Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces scientifically significant problems and indicates useful solutions. 1966 edition. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…