04483nam 22007815 450 991095898700332120250730111802.09781475730692147573069110.1007/978-1-4757-3069-2(CKB)2660000000022255(SSID)ssj0001295709(PQKBManifestationID)11777907(PQKBTitleCode)TC0001295709(PQKBWorkID)11342818(PQKB)11774547(DE-He213)978-1-4757-3069-2(MiAaPQ)EBC3087185(PPN)238050688(EXLCZ)99266000000002225520130125d1999 u| 0engurnn#008mamaatxtccrAdvanced Mathematical Methods for Scientists and Engineers I Asymptotic Methods and Perturbation Theory /by Carl M. Bender, Steven A. Orszag1st ed. 1999.New York, NY :Springer New York :Imprint: Springer,1999.1 online resource (XIV, 593 p.)Bibliographic Level Mode of Issuance: Monograph9780387989310 0387989315 9781441931870 1441931872 Includes bibliographical references and index.I Fundamentals -- 1 Ordinary Differential Equations -- 2 Difference Equations -- II Local Analysis -- 3 Approximate Solution of Linear Differential Equations -- 4 Approximate Solution of Nonlinear Differential Equations -- 5 Approximate Solution of Difference Equations -- 6 Asymptotic Expansion of Integrals -- III Perturbation Methods -- 7 Perturbation Series -- 8 Summation of Series -- IV Global Analysis -- 9 Boundary Layer Theory -- 10 WKB Theory -- 11 Multiple-Scale Analysis.The triumphant vindication of bold theories-are these not the pride and justification of our life's work? -Sherlock Holmes, The Valley of Fear Sir Arthur Conan Doyle The main purpose of our book is to present and explain mathematical methods for obtaining approximate analytical solutions to differential and difference equations that cannot be solved exactly. Our objective is to help young and also establiShed scientists and engineers to build the skills necessary to analyze equations that they encounter in their work. Our presentation is aimed at developing the insights and techniques that are most useful for attacking new problems. We do not emphasize special methods and tricks which work only for the classical transcendental functions; we do not dwell on equations whose exact solutions are known. The mathematical methods discussed in this book are known collectively as­ asymptotic and perturbative analysis. These are the most useful and powerful methods for finding approximate solutions to equations, but they are difficult to justify rigorously. Thus, we concentrate on the most fruitful aspect of applied analysis; namely, obtaining the answer. We stress care but not rigor. To explain our approach, we compare our goals with those of a freshman calculus course. A beginning calculus course is considered successful if the students have learned how to solve problems using calculus.Mathematical analysisEngineering mathematicsEngineeringData processingMathematical physicsAnalysisMathematical and Computational Engineering ApplicationsMathematical Methods in PhysicsTheoretical, Mathematical and Computational PhysicsMathematical analysis.Engineering mathematics.EngineeringData processing.Mathematical physics.Analysis.Mathematical and Computational Engineering Applications.Mathematical Methods in Physics.Theoretical, Mathematical and Computational Physics.515515.3534E05msc34A45msc41A60mscBender Carl Mauthttp://id.loc.gov/vocabulary/relators/aut21730Orszag Steven A.authttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910958987003321Advanced Mathematical Methods for Scientists and Engineers I4412492UNINA01179nlm 2200301 n 450 99666386540331620250709082915.019920206d1637---- uy |latUKdrcnuFr. Burgersdicii Institutionum logicarum libri duoAd juventutem CantabrigiensemCantabrigiæEx Academiæ celeberrimæ typrographeoMDCXXXVII. [1637]Testo elettronico (PDF) (368 p.)Base dati testualeRiproduzione dell'originale presso la Harvard University LibraryIn due libri, ciascuno con registro e numerazione delle pagine separatiLa seconda parte ha un frontespizio separato e datato, che recita: Fr. Burgersdicii Institutionum logicarum synopsis, sive Rudimenta logicaRiproduzione dell'originale presso lai Cambridge University LibraryLogicaBNCF160BURGERSDIJCK,Franco1590-1635.1003827ITcbaREICAT996663865403316EBERFr. Burgersdicii institutionum logicarum libri duo2327373UNISA