Partial Differential Equations

Vladimir A. Tolstykh

Vladimir A. Tolstykh

Partial Differential Equations

An Unhurried Introduction

In: De Gruyter Textbook

De Gruyter | 2020

DOI: https://doi.org/10.1515/9783110677256

Overview
Contents

About this book

This is a clear, rigorous and self-contained introduction to PDEs for a semester-based course on the topic. For the sake of smooth exposition, the book keeps the amount of applications to a minimum, focusing instead on the theoretical essentials and problem solving. The result is an agile compendium of theorems and methods - the ideal companion for any student tackling PDEs for the first time.

Comprehensible introduction to the theory of PDEs.
Reader-friendly rigour throughout.
Systematic use of modern mathematical software.

Author information

Vladimir A. Tolstykh, Istanbul Arel University, Turkey.

Reviews

"The main text is enriched with some examples on the usage of Maple and the online resource Wolfram Alpha for solving problems related to the theory of PDEs. The presentation is clear and the book is written so as to be accessible to a wide audience."
Ahmed Lesfari (El Jadida), zbMath (Zentralblatt Math, https://zbmath.org/?q=an%3A07205681, accessed 02/22/2021)

"For me, a high point of reading Partial Differential Equations An Unhurried Introduction was the geometric approach that the author takes, I also really like that　there is a significant treatment of not-necessarily-linear problems. Overall, Partial Differential Equations An Unhurried Introduction is an interesting　textbook option and I believe it is worthy of adoption for a course. "
Jason Graham, MAA (Mathematical Association of America) website, on 12/20/2020, (https://www.maa.org/press/maa-reviews/partial-differential-equations-an-unhurried-introduction, accessed 02/22/2021)

Frontmatter Free access PDF PDF	I
Preface Free access PDF PDF	VII
Contents Free access PDF PDF	IX
1. Definition Access restricted Content is available PDF PDF	1
2. Change of variables in PDEs Access restricted Content is available PDF PDF	29
3. First-order linear equations Access restricted Content is available PDF PDF	49
4. First-order semilinear equations Access restricted Content is available PDF PDF	63
5. First-order quasilinear equations: vector fields Access restricted Content is available PDF PDF	85
6. First-order quasilinear equations: solution sets Access restricted Content is available PDF PDF	117
7. Method of characteristics for first-order quasilinear equations Access restricted Content is available PDF PDF	157
8. Second-order semilinear equations Access restricted Content is available PDF PDF	205
A. Appendix Access restricted Content is available PDF PDF	249
Bibliography Access restricted Content is available PDF PDF	263
Index Access restricted Content is available PDF PDF	265

Partial Differential Equations

An Unhurried Introduction

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