An Introduction to Nonlinear Partial Differential Equations

J. David Logan

ISBN 10: 0470225955 / ISBN 13: 9780470225950

Verlag: John Wiley and Sons Ltd, 2008

Beschreibung

This introductory textbook on nonlinear partial differential equations is technique oriented with an emphasis on applications and is designed to build a foundation for studying advanced treatises in the field. The Second Edition features an updated bibliography as well as an increase in the number of exercises. Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts. Num Pages: 398 pages, Illustrations. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 243 x 166 x 27. Weight in Grams: 712. . 2008. 2nd Edition. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780470225950

Bibliografische Details

Titel: An Introduction to Nonlinear Partial ...

Verlag: John Wiley and Sons Ltd

Erscheinungsdatum: 2008

Einband: Hardcover

Zustand: New

Auflage: 2. Auflage

Über diesen Titel

Inhaltsangabe:

PRAISE FOR THE FIRST EDITION: "THIS BOOK IS WELL CONCEIVED AND WELL WRITTEN. THE AUTHOR HAS SUCCEEDED IN PRODUCING A TEXT ON NONLINEAR PDES THAT IS NOT ONLY QUITE READABLE BUT ALSO ACCESSIBLE TO STUDENTS FROM DIVERSE BACKGROUNDS." —SIAM REVIEW A PRACTICAL INTRODUCTION TO NONLINEAR PDES AND THEIR REAL–WORLD APPLICATIONS NOW IN A SECOND EDITION, THIS POPULAR BOOK ON NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS (PDES) CONTAINS EXPANDED COVERAGE ON THE CENTRAL TOPICS OF APPLIED MATHEMATICS IN AN ELEMENTARY, HIGHLY READABLE FORMAT AND IS ACCESSIBLE TO STUDENTS AND RESEARCHERS IN THE FIELD OF PURE AND APPLIED MATHEMATICS. THIS BOOK PROVIDES A NEW FOCUS ON THE INCREASING USE OF MATHEMATICAL APPLICATIONS IN THE LIFE SCIENCES, WHILE ALSO ADDRESSING KEY TOPICS SUCH AS LINEAR PDES, FIRST–ORDER NONLINEAR PDES, CLASSICAL AND WEAK SOLUTIONS, SHOCKS, HYPERBOLIC SYSTEMS, NONLINEAR DIFFUSION, AND ELLIPTIC EQUATIONS. UNLIKE COMPARABLE BOOKS THAT TYPICALLY ONLY USE FORMAL PROOFS AND THEORY TO DEMONSTRATE RESULTS, AN INTRODUCTION TO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, SECOND EDITION TAKES A MORE PRACTICAL APPROACH TO NONLINEAR PDES BY EMPHASIZING HOW THE RESULTS ARE USED, WHY THEY ARE IMPORTANT, AND HOW THEY ARE APPLIED TO REAL PROBLEMS. THE INTERTWINING RELATIONSHIP BETWEEN MATHEMATICS AND PHYSICAL PHENOMENA IS DISCOVERED USING DETAILED EXAMPLES OF APPLICATIONS ACROSS VARIOUS AREAS SUCH AS BIOLOGY, COMBUSTION, TRAFFIC FLOW, HEAT TRANSFER, FLUID MECHANICS, QUANTUM MECHANICS, AND THE CHEMICAL REACTOR THEORY. NEW FEATURES OF THE SECOND EDITION ALSO INCLUDE: ADDITIONAL INTERMEDIATE–LEVEL EXERCISES THAT FACILITATE THE DEVELOPMENT OF ADVANCED PROBLEM–SOLVING SKILLS NEW APPLICATIONS IN THE BIOLOGICAL SCIENCES, INCLUDING AGE–STRUCTURE, PATTERN FORMATION, AND THE PROPAGATION OF DISEASES AN EXPANDED BIBLIOGRAPHY THAT FACILITATES FURTHER INVESTIGATION INTO SPECIALIZED TOPICS

Críticas:

"This book is an ideal text for applied mathematics courses at the upper-undergraduate and graduate levels. It also serves as a valuable resource for researchers and professionals in the fields of mathematics, biology, engineering, and physics who would like to further their knowledge of PDEs." ( Mathematical Reviews , 2009c)