Mathieu's Equation for Complex Parameters PDF Download
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Author: Gertrude Blanch
Publisher:
ISBN:
Category : Eigenvalues
Languages : en
Pages : 304
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Book Description
Author: Gertrude Blanch
Publisher:
ISBN:
Category : Eigenvalues
Languages : en
Pages : 304
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Book Description
Author: J. Meixner
Publisher: Springer
ISBN: 3540384111
Category : Mathematics
Languages : en
Pages : 134
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Book Description
Author: Aerospace Research Laboratories (U.S.)
Publisher:
ISBN:
Category : Mathieu functions
Languages : en
Pages : 426
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Book Description
Author: Harald J W Muller-kirsten
Publisher: World Scientific Publishing Company
ISBN: 9814397768
Category : Science
Languages : en
Pages : 942
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Book Description
This text on quantum mechanics begins by covering all the main topics of an introduction to the subject. It then concentrates on newer developments. In particular it continues with the perturbative solution of the Schrödinger equation for various potentials and thereafter with the introduction and evaluation of their path integral counterparts. Considerations of the large order behavior of the perturbation expansions show that in most applications these are asymptotic expansions. The parallel consideration of path integrals requires the evaluation of these around periodic classical configurations, the fluctuation equations about which lead back to specific wave equations. The period of the classical configurations is related to temperature, and permits transitions to the thermal domain to be classified as phase transitions.In this second edition of the text important applications and numerous examples have been added. In particular, the chapter on the Coulomb potential has been extended to include an introduction to chemical bonds, the chapter on periodic potentials has been supplemented by a section on the band theory of metals and semiconductors, and in the chapter on large order behavior a section has been added illustrating the success of converging factors in the evaluation of asymptotic expansions. Detailed calculations permit the reader to follow every step.
Author: Thor Fossen
Publisher: Springer Science & Business Media
ISBN: 1461410428
Category : Technology & Engineering
Languages : en
Pages : 329
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Book Description
Parametric Resonance in Dynamical Systems discusses the phenomenon of parametric resonance and its occurrence in mechanical systems, vehicles, motorcycles, aircraft and marine craft, along micro-electro-mechanical systems. The contributors provides an introduction to the root causes of this phenomenon and its mathematical equivalent, the Mathieu-Hill equation. Also included is a discussion of how parametric resonance occurs on ships and offshore systems, and its frequency in mechanical and electrical systems. This volume is ideal for researchers and mechanical engineers working in application fields such as MEMS, maritime, aircraft and ground vehicle engineering.
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages :
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Author: Valeriĭ Ivanovich Agoshkov
Publisher: Cambridge Int Science Publishing
ISBN: 1904602053
Category : Science
Languages : en
Pages : 335
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Book Description
The aim of the book is to present to a wide range of readers (students, postgraduates, scientists, engineers, etc.) basic information on one of the directions of mathematics, methods for solving mathematical physics problems. The authors have tried to select for the book methods that have become classical and generally accepted. However, some of the current versions of these methods may be missing from the book because they require special knowledge. The book is of the handbook-teaching type. On the one hand, the book describes the main definitions, the concepts of the examined methods and approaches used in them, and also the results and claims obtained in every specific case. On the other hand, proofs of the majority of these results are not presented and they are given only in the simplest (methodological) cases. Another special feature of the book is the inclusion of many examples of application of the methods for solving specific mathematical physics problems of applied nature used in various areas of science and social activity, such as power engineering, environmental protection, hydrodynamics, elasticity theory, etc. This should provide additional information on possible applications of these methods. To provide complete information, the book includes a chapter dealing with the main problems of mathematical physics, together with the results obtained in functional analysis and boundary-value theory for equations with partial derivatives.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 268
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Book Description
Author: Juri I. Neimark
Publisher: Springer Science & Business Media
ISBN: 3540478787
Category : Technology & Engineering
Languages : en
Pages : 561
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Book Description
This book has come into being as a result ofthe author's lectures on mathematical modelling rendered to the students, BS and MS degree holders specializing in applied mathematics and computer science and to post-graduate students in exact sciences of the Nizhny Novgorod State University after N.!. Lobatchevsky. These lectures are adapted and presented as a single whole ab out mathematical models and modelling. This new course of lectures appeared because the contemporary Russian educational system in applied mathematics rested upon a combination of fundamental and applied mathematics training; this way of training oriented students upon solving only the exactly stated mathematical problems, and thus there was created a certain estrangement to the most essential stages and sides of real solutions for applied problems, such as thinking over and deeply piercing the essence of a specific problem and its mathematical statement. This statement embraces simplifications, adopted idealizations and creating a mathematical model, its correction and matching the results obtained against a real system. There also existed another main objective, namely to orient university graduates in their future research not only upon purely mathematical issues but also upon comprehending and widely applying mathematics as a universal language of contemporary exact science, and mathematical modelling as a powerful me ans for studying nature, engineering and human society.
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1298
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Book Description
