UID:
almahu_9949462258402882
Format:
1 online resource (277 p.)
Edition:
2nd revised and extended edition
ISBN:
9783110316674
,
9783110238570
Series Statement:
De Gruyter Textbook
Content:
This textbook is an elementary introduction to the basic principles of partial differential equations. With many illustrations it introduces PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.
Note:
Frontmatter --
,
Preface --
,
Contents --
,
Chapter 1. Motivation, Derivation of Basic Mathematical Models --
,
Chapter 2. Classification, Types of Equations, Boundary and Initial Conditions --
,
Chapter 3. Linear Partial Differential Equations of the First Order --
,
Chapter 4. Wave Equation in One Spatial Variable - Cauchy Problem in R --
,
Chapter 5. Diffusion Equation in One Spatial Variable - Cauchy Problem in R --
,
Chapter 6. Laplace and Poisson Equations in Two Dimensions --
,
Chapter 7. Solutions of Initial Boundary Value Problems for Evolution Equations --
,
Chapter 8. Solutions of Boundary Value Problems for Stationary Equations --
,
Chapter 9. Methods of Integral Transforms --
,
Chapter 10. General Principles --
,
Chapter 11. Laplace and Poisson equations in Higher Dimensions --
,
Chapter 12. Diffusion Equation in Higher Dimensions --
,
Chapter 13. Wave Equation in Higher Dimensions --
,
Appendix A. Sturm-Liouville Problem --
,
Appendix B. Bessel Functions --
,
Some Typical Problems Considered in this Book --
,
Notation --
,
Bibliography --
,
Index
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
EBOOK PACKAGE Complete Package 2014, De Gruyter, 9783110369526
In:
EBOOK PACKAGE Mathematics, Physics 2014, De Gruyter, 9783110370355
Additional Edition:
ISBN 9783110374049
Additional Edition:
ISBN 9783110316650
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110316674
URL:
https://doi.org/10.1515/9783110316674
URL:
https://www.degruyter.com/isbn/9783110316674
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