This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy’s example of a linear equation without solutions.
Partial Differential Equations: v. 1
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Fourth Edition F. John Partial Differential Equations "An excellent second-reading text. Should be accessible to any mathematician. Highly recommended." —THE MATHEMATICAL GAZETTE
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24 of 27 people found the following review helpful:
5.0 out of 5 stars
Excellent summary of the most important PDEs!,
By A Customer
This review is from: Partial Differential Equations (Applied Mathematical Sciences) (v. 1) (Hardcover)
I studied this book from cover to cover, and I found its explanations lucid and complete. F. John's writing style makes excellent reading, and the details he supplies are complete enough that anyone with only a background in undergraduate multivariable calculus can understand the arguments. Like any good mathematics textbook, this one leaves the reader to work out his/her own steps at some points, but Dr. John always makes it clear which elements are needed. This book will always have a place on the shelf in my office.
9 of 18 people found the following review helpful:
5.0 out of 5 stars
Very impressive,
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This review is from: Partial Differential Equations (Applied Mathematical Sciences) (v. 1) (Hardcover)
I'm very impressed by John's book on PDE's. Very complete, top down approach to the subject, while remaining lucid and concrete. It's the work of a master.
7 of 16 people found the following review helpful:
5.0 out of 5 stars
Review on Partial Differential Equations by Fritz John,
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This review is from: Partial Differential Equations (Applied Mathematical Sciences) (v. 1) (Hardcover)
I required this book for one of my post graduate course module studies. My professor is following this book. In my opinion, this contains the latest research findings and is one of the best books in this subject.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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characteristic strips, real analytic, symmetric hyperbolic systems, integral surface, analytic field, analytic coefficients, open bounded set Key Phrases - Capitalized Phrases (CAPs): (learn more)
Parabolic Equations, Solutions Generated New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
characteristic strips, real analytic, symmetric hyperbolic systems, integral surface, analytic field, analytic coefficients, open bounded set Key Phrases - Capitalized Phrases (CAPs): (learn more)
Parabolic Equations, Solutions Generated New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
books:
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100
books
cite this book:
See all 100 books citing this book
- Differential Equations (with CD-ROM) by Paul Blanchard in Back Matter (1), Back Matter (2), and Back Matter (3)
- Numerical Solutions of Partial Differential Equations (Applied Mathematical Sciences) by T. Meis in Front Matter, and Back Matter
- Partial Differential Equations: Analytical Solution Techniques (Texts in Applied Mathematics) by J. Kevorkian in Front Matter, and Back Matter
- Sturmian Theory for Ordinary Differential Equations (Applied Mathematical Sciences) by William T. Reid in Front Matter
- Differential Equations by K. A. Stroud in Front Matter
See all 100 books this book cites
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- Vorticity and Incompressible Flow (Cambridge Texts in Applied Mathematics) by Andrew J. Majda on 5 pages
- Mathematical Problems and Methods of Hydrodynamic Weather Forecasting by Vladimir Gordin on 4 pages
- Clifford Algebras and Their Applications in Mathematical Physics, Vol. 2: Clifford Analysis by John Ryan on 4 pages
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