Read While You Wait - Get immediate ebook access, if available*, when you order a print book

Applied Mathematical Sciences

Partial Differential Equations II

Qualitative Studies of Linear Equations

Authors: Taylor, Michael

Free Preview
  • - These volumes are the most up-to-date, comprehensive presentation of PDEs and has a wide appeal among mathematicians, engineers, and physicists - Applications from various areas are clearly illustrated - Includes extensive coverage of both linear and nonlinear PDEs

Buy this book

eBook 67,40 €
price for Spain (gross)
  • ISBN 978-1-4757-4187-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
About this book

Partial differential equations is a many-faceted subject. Created to describe the mechanical behavior of objects such as vibrating strings and blowing winds, it has developed into a body of material that interacts with many branches of math­ ematics, such as differential geometry, complex analysis, and harmonic analysis, as weil as a ubiquitous factor in the description and elucidation of problems in mathematical physics. This work is intended to provide a course of study of some of the major aspects of PDE. It is addressed to readers with a background in the basic introductory grad­ uate mathematics courses in American universities: elementary real and complex analysis, differential geometry, and measure theory. Chapter 1 provides background material on the theory of ordinary differential equations (ODE). This includes both very basic material-on topics such as the existence and uniqueness of solutions to ODE and explicit solutions to equations with constant coefficients and relations to linear algebra-and more sophisticated results-on flows generated by vector fields, connections with differential geom­ etry, the calculus of differential forms, stationary action principles in mechanics, and their relation to Hamiltonian systems. We discuss equations of relativistic motion as weIl as equations of c1assical Newtonian mechanics. There are also applications to topological results, such as degree theory, the Brouwer fixed-point theorem, and the Jordan-Brouwer separation theorem. In this chapter we also treat scalar first-order PDE, via Hamilton-Jacobi theory.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 67,40 €
price for Spain (gross)
  • ISBN 978-1-4757-4187-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Partial Differential Equations II
Book Subtitle
Qualitative Studies of Linear Equations
Authors
Series Title
Applied Mathematical Sciences
Series Volume
116
Copyright
1996
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4757-4187-2
DOI
10.1007/978-1-4757-4187-2
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XXI, 529
Number of Illustrations
11 b/w illustrations
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works and instructor copies are not included.