Holdings: Applied partial differential equations

Applied partial differential equations:

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Bibliographic Details
Main Author:	Logan, J. David 1944- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham [u.a.] Springer 2015
Edition:	3. ed.
Series:	Undergraduate texts in mathematics
Subjects:	Partielle Differentialgleichung Electronic book text Lehrbuch
Online Access:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource
ISBN:	9783319124926 9783319124933
DOI:	10.1007/978-3-319-12493-3

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adam_text	APPLIED PARTIAL DIFFERENTIAL EQUATIONS / LOGAN, J. DAVID : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS PREFACE TO THE THIRD EDITION TO THE STUDENTS 1: THE PHYSICAL ORIGINS OF PARTIAL DIFFERENTIAL EQUATIONS 1.1 PDE MODELS 1.2 CONSERVATION LAWS 1.3 DIFFUSION 1.4 DIFFUSION AND RANDOMNESS 1.5 VIBRATIONS AND ACOUSTICS 1.6 QUANTUM MECHANICS* 1.7 HEAT CONDUCTIONIN HIGHER DIMENSIONS 1.8 LAPLACE’S EQUATION 1.9 CLASSIFICATION OF PDES 2. PARTIAL DIFFERENTIAL EQUATIONS ON UNBOUNDED DOMAINS 2.1 CAUCHY PROBLEM FOR THE HEAT EQUATION 2.2 CAUCHY PROBLEM FOR THE WAVE EQUATION 2.3 WELL-POSED PROBLEMS 2.4 SEMI-INFINITE DOMAINS 2.5 SOURCES AND DUHAMEL’S PRINCIPLE 2.6 LAPLACE TRANSFORMS 2.7 FOURIER TRANSFORMS 3. ORTHOGONAL EXPANSIONS 3.1 THE FOURIER METHOD 3.2 ORTHOGONAL EXPANSIONS 3.3 CLASSICAL FOURIER SERIES.-4. PARTIAL DIFFERENTIAL EQUATIONS ON BOUNDED DOMAINS 4.1 OVERVIEW OF SEPARATION OF VARIABLES 4.2 STURM–LIOUVILLE PROBLEMS - 4.3 GENERALIZATION AND SINGULAR PROBLEMS 4.4 LAPLACE S EQUATION 4.5 COOLING OF A SPHERE 4.6 DIFFUSION INB A DISK 4.7 SOURCES ON BOUNDED DOMAINS 4.8 POISSON S EQUATION*.-5. APPLICATIONS IN THE LIFE SCIENCES.-5.1 AGE-STRUCTURED MODELS 5.2 TRAVELING WAVES FRONTS 5.3 EQUILIBRIA AND STABILITY REFERENCES APPENDIX A. ORDINARY DIFFERENTIAL EQUATIONS INDEX. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. APPLIED PARTIAL DIFFERENTIAL EQUATIONS / LOGAN, J. DAVID : 2015 ABSTRACT / INHALTSTEXT THIS TEXT PRESENTS THE STANDARD MATERIAL USUALLY COVERED IN A ONE-SEMESTER, UNDERGRADUATE COURSE ON BOUNDARY VALUE PROBLEMS AND PDES. EMPHASIS IS PLACED ON MOTIVATION, CONCEPTS, METHODS, AND INTERPRETATION, RATHER THAN ON FORMAL THEORY. THE CONCISE TREATMENT OF THE SUBJECT IS MAINTAINED IN THIS THIRD EDITION COVERING ALL THE MAJOR IDEAS: THE WAVE EQUATION, THE DIFFUSION EQUATION, THE LAPLACE EQUATION, AND THE ADVECTION EQUATION ON BOUNDED AND UNBOUNDED DOMAINS. METHODS INCLUDE EIGENFUNCTION EXPANSIONS, INTEGRAL TRANSFORMS, AND CHARACTERISTICS. IN THIS THIRD EDITION, TEXT REMAINS INTIMATELY TIED TO APPLICATIONS IN HEAT TRANSFER, WAVE MOTION, BIOLOGICAL SYSTEMS, AND A VARIETY OTHER TOPICS IN PURE AND APPLIED SCIENCE. THE TEXT OFFERS FLEXIBILITY TO INSTRUCTORS WHO, FOR EXAMPLE, MAY WISH TO INSERT TOPICS FROM BIOLOGY OR NUMERICAL METHODS AT ANY TIME IN THE COURSE. THE EXPOSITION IS PRESENTED IN A FRIENDLY, EASY-TO-READ, STYLE, WITH MATHEMATICAL IDEAS MOTIVATED FROM PHYSICAL PROBLEMS.MANY EXERCISES AND WORKED EXAMPLES HAVE BEEN ADDED TO THIS EDITION. PREREQUISITES INCLUDE CALCULUS AND ORDINARY DIFFERENTIAL EQUATIONS. A STUDENT WHO READS THIS BOOK AND WORKS MANY OF THE EXERCISES WILL HAVE A SOUND KNOWLEDGE FOR A SECOND COURSE IN PARTIAL DIFFERENTIAL EQUATIONS OR FOR COURSES IN ADVANCED ENGINEERING AND SCIENCE. TWO ADDITIONAL CHAPTERS INCLUDE SHORT INTRODUCTIONS TO APPLICATIONS OF PDES IN BIOLOGY AND A NEW CHAPTER TO THE COMPUTATION OF SOLUTIONS. A BRIEF APPENDIX REVIEWS TECHNIQUES FROM ORDINARY DIFFERENTIAL EQUATIONS. FROM THE REVIEWS OF THE SECOND EDITION: “THIS SECOND EDITION OF THE SHORT UNDERGRADUATE TEXT PROVIDES A FIST COURSE IN PDE AIMED AT STUDENTS IN MATHEMATICS, ENGINEERING AND THE SCIENCES. THE MATERIAL IS STANDARD … STRONG EMPHASIS IS PUT ON MODELING AND APPLICATIONS THROUGHOUT; THE MAIN TEXT IS SUPPLIED WITH MANY EXAMPLES AND EXERCISES.” —R. STEINBAUER, MONATSHEFTE FUER MATHEMATIK, VOL.150 (4), 2007 “THIS IS A UNIQUE BOOK IN THE SENSE THAT IT PROVIDES A COVERAGE OF THE MAIN TOPICS OF THE SUBJECT IN A CONCISE STYLE WHICH IS ACCESSIBLE TO SCIENCE AND ENGINEERING STUDENTS. … READING THIS BOOK AND SOLVING THE PROBLEMS, THE STUDENTS WILL HAVE A SOLID BASE FOR A COURSE IN PARTIAL DIFFERENTIAL EQUATIONS … .” —TIBOR KRISZTIN, ACTA SCIENTIARUM MATHEMATICARUM, VOL. 74, 2008 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Logan, J. David 1944- Verfasser (DE-588)120361000 aut Applied partial differential equations J. David Logan 3. ed. Cham [u.a.] Springer 2015 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Undergraduate texts in mathematics Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Electronic book text (DE-588)4123623-3 Lehrbuch gnd-content Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 https://doi.org/10.1007/978-3-319-12493-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027714215&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027714215&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Logan, J. David 1944- Applied partial differential equations Partielle Differentialgleichung (DE-588)4044779-0 gnd
subject_GND	(DE-588)4044779-0 (DE-588)4123623-3
title	Applied partial differential equations
title_auth	Applied partial differential equations
title_exact_search	Applied partial differential equations
title_full	Applied partial differential equations J. David Logan
title_fullStr	Applied partial differential equations J. David Logan
title_full_unstemmed	Applied partial differential equations J. David Logan
title_short	Applied partial differential equations
title_sort	applied partial differential equations
topic	Partielle Differentialgleichung (DE-588)4044779-0 gnd
topic_facet	Partielle Differentialgleichung Lehrbuch
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