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Introduction to Partial Differential Equations - gebunden oder broschiert

2013, ISBN: 3319020986

[EAN: 9783319020983], Neubuch, [SC: 0.0], [PU: Springer International Publishing], COMPLEX ANALYSIS; DYNAMICS OF PLANAR MEDIA; EIGENVALUES AND EIGENVECTORS; FINITE ELEMENTS WEAK SOLUTIONS… Mehr…

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ISBN: 9783319020983

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in math… Mehr…

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Introduction to Partial Differential Equations / Peter J. Olver / Buch / Undergraduate Texts in Mathematics / HC runder Rücken kaschiert / xxv / Englisch / 2013 / Springer International Publishing - Olver, Peter J.
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Introduction to Partial Differential Equations / Peter J. Olver / Buch / Undergraduate Texts in Mathematics / HC runder Rücken kaschiert / xxv / Englisch / 2013 / Springer International Publishing - gebunden oder broschiert

2013, ISBN: 9783319020983

[ED: Gebunden], [PU: Springer International Publishing], This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanc… Mehr…

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Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solitons, Huygens'. Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements. Peter J. Olver is professor of mathematics at the University of Minnesota. His wide-ranging research interests are centered on the development of symmetry-based methods for differential equations and their manifold applications. He is the author of over 130 papers published in major scientific research journals as well a

Detailangaben zum Buch - Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)


EAN (ISBN-13): 9783319020983
ISBN (ISBN-10): 3319020986
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2013
Herausgeber: Springer

Buch in der Datenbank seit 2014-01-23T08:20:50+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-04-25T12:14:10+02:00 (Berlin)
ISBN/EAN: 9783319020983

ISBN - alternative Schreibweisen:
3-319-02098-6, 978-3-319-02098-3
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: olver, tveito, peter peter, classical fourier analysis
Titel des Buches: introduction partial differential equations, undergraduate text, mathematics


Daten vom Verlag:

Autor/in: Peter J. Olver
Titel: Undergraduate Texts in Mathematics; Introduction to Partial Differential Equations
Verlag: Springer; Springer International Publishing
636 Seiten
Erscheinungsjahr: 2013-11-20
Cham; CH
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
53,49 € (DE)
54,99 € (AT)
67,13 CHF (CH)
POD
XXV, 636 p. 143 illus.

BB; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Complex Analysis; Dynamics of Planar Media; Eigenvalues and Eigenvectors; Finite Elements and Weak Solutions; Fourier Transforms; Linear and Nonlinear Evolution Equations; partial differential equations; Differential Equations; Complex Systems; Fourier Analysis; Kybernetik und Systemtheorie; Funktionalanalysis und Abwandlungen; EA; BC

What are Partial Differential Equations?.- Linear and Nonlinear Waves.- Fourier Series.- Separation of Variables.- Finite Differences.- Generalized Functions and Green’s Functions.- Complex Analysis and Conformal Mapping.- Fourier Transforms.- Linear and Nonlinear Evolution Equations.- A General Framework for Linear Partial Differential Equations.- Finite Elements and Weak Solutions.- Dynamics of Planar Media.- Partial Differential Equations in Space.
Many interesting examples and exercises that are connected to real world problems balanced with well explained theory Provides an excellent reading course for undergraduate partial differential equations Treats both linear and nonlinear partial differential equations Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material

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