Mathematical Seminary PDF Download

Author: Princeton University. Library
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 124

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Author: Harold Thayer Davis
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 600

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Author: Harold Thayer Davis
Publisher: Courier Corporation
ISBN: 9780486609713
Category : Mathematics
Languages : en
Pages : 598

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Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.

Author: V. E. Meister
Publisher: Springer
ISBN: 3540375368
Category : Mathematics
Languages : en
Pages : 540

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Author: Wolfgang Grobner
Publisher: Springer Science & Business Media
ISBN: 146847362X
Category : Science
Languages : en
Pages : 206

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Dieses Buch beruht auf 40 lahren intensiven Studiums der Differentialglei chungen, sowohl yom theoretischen als auch yom praktischen Gesichtspunkt aus, eines Studiums, das mit meiner Tatigkeit im Rechen-Institut M. Picones in Rom begann, sodann fortgesetzt wurde in der Gruppe flir Industriemathema tik der Luftfahrt-Forschungsanstalt in Braunschweig, und endlich mit meinen Vorlesungen, hauptsachlich an der Universitat Innsbruck, abgeschlossen wurde. Die Zeit der Weltraumfliige stellte hier neue Aufgaben der Bahnberechnung von Satelliten, deren Bearbeitung theoretisch eine geschlossene Formel zur Losung des n-Korper-Problems, praktisch eine neue Methode zur Berechnung von reguJaren Differentialgleichungssystemen zeitigte, die mit den besten bekannten Losungsmethoden erfolgreich in Konkurrenz treten konnte, was vor aHem meinen Mitarbeitern H. Knapp und G. Wanner zu danken war. Die Vorlesung iiber Differentialgleichungen habe ich seit 1947 in regelmaBi gen Abstanden an der Universitat Innsbruck gehalten, bei jeder Wiederholung neu bearbeitet und durch Seminararbeiten vervollstandigt; auch in meiner flir Physik-Studenten besonders gehaltenen Vorlesung iiber {raquo}Die mathemati schen Methoden der Physik{laquo} habe ich in gekiirzter Form immer die {raquo}Differen tialgleichungen{laquo} eingeschlossen. In der vorliegenden Fassung wurde vor allem das zweite Kapitel iiber Diffe rentialgleichungen mit analytischen Koeffizienten, also speziell der hypergeome trischen, Besselschen und Kummerschen Differentialgleichungen' neu gefaBt und einem neuen Ordnungsprinzip, der {raquo}Invariante{laquo}, unterworfen. Damit ge lingt es, jede vorgelegte Differentialgleichung rasch einzuordnen und auf eine dieser Standardformen zu transformieren. Diese Transformationsformeln wur den neu entwickelt und werden hier zum ersten Mal veroffentlicht. Fiir alle Satze und Entwicklungen werden strenge Beweise geboten; z. B.

Author: Friedrich Sauvigny
Publisher: Springer Science & Business Media
ISBN: 1447129814
Category : Mathematics
Languages : en
Pages : 459

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This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this first volume, special emphasis is placed on geometric and complex variable methods involving integral representations. The following topics are treated: • integration and differentiation on manifolds • foundations of functional analysis • Brouwer's mapping degree • generalized analytic functions • potential theory and spherical harmonics • linear partial differential equations This new second edition of this volume has been thoroughly revised and a new section on the boundary behavior of Cauchy’s integral has been added. The second volume will present functional analytic methods and applications to problems in differential geometry. This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study.

Author: Giesela Engeln-Müllges
Publisher: Springer Science & Business Media
ISBN: 3642610749
Category : Mathematics
Languages : en
Pages : 610

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More scientists now use C than any other programming language. This book contains practical, computer-ready algorithms for many standard methods of numerical mathematics. It describes the principles of the various methods and provides support in choosing the appropriate method for a given task. Topics given special emphasis include converging methods for solving nonlinear equations, methods for solving systems of linear equations for many special matrix structures, and the Shepard method for multidimensional interpolation. The CD contains C-programs for almost all the algorithms given in the book and a compiler, together with software for graphical printing.

Author: Michael Eckert
Publisher: Springer Nature
ISBN: 3030620344
Category : Science
Languages : en
Pages : 98

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This book traces the history of Arnold Sommerfeld’s famous “nursery of theoretical physics” at the University of Munich and demonstrates the centrality of developing personal and institutional networks for the emergence of quantum theory. Sommerfeld, originally a mathematician with little interest in theoretical physics, was a somewhat unlikely choice for a chair of theoretical physics when he was appointed in 1906. However, he quickly reoriented his research focus towards physics, forstering a keen interest in experimental research. Possibly even more important for the development of quantum theory in the coming years was his exceptional talent as a charismatic teacher and prolific networker, which turned Munich into a central node in the fast-growing network of quantum physicists in the 1920s. It is no coincidence that the two most talented “child prodigies” of 1920s quantum physics, Wolfgang Pauli and Werner Heisenberg, were his students, nor that by the end of the decade about a dozen of Sommerfeld’s former disciples held chairs in theoretical physics. The book is directed at historians of science and physics, as well as all those interested in the history of science diplomacy and networking. The book is part of a series of publications on the early network of quantum physics. These works emerged from an expansive study on the quantum revolution as a major transformation of physical knowledge undertaken by the Max Planck Institute for the History of Science and the Fritz Haber Institute (2006–2012). For more on this project, see the dedicated Feature Story, The Networks of Early Quantum Theory, at the Max Planck Institute for the History of Science, https://www.mpiwg-berlin.mpg.de/feature-story/networks-early-quantum-theory

Author: C. Carath‚odory
Publisher: American Mathematical Society
ISBN: 1470478978
Category : Mathematics
Languages : en
Pages : 418

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From the Preface: The book consists of two parts. In the first part, I have made an attempt to simplify the presentation of the theory of partial differential equations to the first order so that its study will require little time and also be accessible to the average student of mathematics ? The second part, which contains the Calculus of Variations, can also be read independently if one refers back to earlier sections in Part I ? I have never lost sight of the fact that the Calculus of Variations, as it is presented in Part II, should above all be a servant of Mechanics. Therefore, I have in particular prepared everything from the very outset for treatment in multidimensional spaces. In this second English edition of Carath‚odory's famous work, the two volumes of the first edition have been combined into one (with a combination of the two indexes into a single index). There is a deep and fundamental relationship between the differential equations that occur in the calculus of variations and partial differential equations of the first order: in particular, to each such partial differential equation there correspond variational problems. This basic fact forms the rationale for Carath‚odory's masterpiece.

Author: Friedrich Sauvigny
Publisher: Springer Science & Business Media
ISBN: 1447129849
Category : Mathematics
Languages : en
Pages : 464

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Book Description
This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this second volume, special emphasis is placed on functional analytic methods and applications to differential geometry. The following topics are treated: solvability of operator equations in Banach spaces linear operators in Hilbert spaces and spectral theory Schauder's theory of linear elliptic differential equations weak solutions of differential equations nonlinear partial differential equations and characteristics nonlinear elliptic systems boundary value problems from differential geometry This new second edition of this volume has been thoroughly revised and a new chapter on boundary value problems from differential geometry has been added. In the first volume, partial differential equations by integral representations are treated in a classical way. This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study.