Verfügbarkeit: Introduction to partial differential equations

Introduction to partial differential equations:

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Bibliographische Detailangaben
Beteilige Person:	Olver, Peter J. 1952- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	Englisch
Veröffentlicht:	Cham Springer [2020]
Ausgabe:	corrected publication
Schriftenreihe:	Undergraduate texts in mathematics
Schlagwörter:	Partielle Differentialgleichung Lehrbuch
Links:	https://doi.org/10.1007/978-3-319-02099-0 https://doi.org/10.1007/978-3-319-02099-0 https://doi.org/10.1007/978-3-319-02099-0 https://doi.org/10.1007/978-3-319-02099-0 https://doi.org/10.1007/978-3-319-02099-0 https://doi.org/10.1007/978-3-319-02099-0 https://doi.org/10.1007/978-3-319-02099-0 https://doi.org/10.1007/978-3-319-02099-0 https://doi.org/10.1007/978-3-319-02099-0 https://doi.org/10.1007/978-3-319-02099-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027061597&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027061597&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	1 Online-Ressource (xxv, 636 Seiten) Illustrationen, Diagramme
ISBN:	9783319020990
DOI:	10.1007/978-3-319-02099-0

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Datensatz im Suchindex

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adam_text	INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS / OLVER, PETER J. : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS 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 FORLINEAR PARTIAL DIFFERENTIAL EQUATIONS FINITEELEMENTS AND WEAK SOLUTIONS.-DYNAMICS OF PLANAR MEDIA.-PARTIAL DIFFERENTIAL EQUATIONS IN SPACE . DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS / OLVER, PETER J. : 2014 ABSTRACT / INHALTSTEXT 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 AS 4 OTHER BOOKS, INCLUDING THE DEFINITIVE SPRINGER GRADUATE TEXT, APPLICATIONS OF LIE GROUPS TO DIFFERENTIAL EQUATIONS, AND ANOTHER UNDERGRADUATE TEXT, APPLIED LINEAR ALGEBRA. A SOLUTIONS MANUAL FOR INSTRUCORS IS AVAILABLE BY CLICKING ON SELECTED SOLUTIONS MANUAL UNDER THE ADDITIONAL INFORMATION SECTION ON THE RIGHT-HAND SIDE OF THIS PAGE. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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title	Introduction to partial differential equations
title_auth	Introduction to partial differential equations
title_exact_search	Introduction to partial differential equations
title_full	Introduction to partial differential equations Peter J. Olver
title_fullStr	Introduction to partial differential equations Peter J. Olver
title_full_unstemmed	Introduction to partial differential equations Peter J. Olver
title_short	Introduction to partial differential equations
title_sort	introduction to partial differential equations
topic	Partielle Differentialgleichung (DE-588)4044779-0 gnd
topic_facet	Partielle Differentialgleichung Lehrbuch
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