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Distribution Theory & Applications (V9)This book is an introductory course to the very important theory of distributions, as well as its applications in the resolution of partial differential equations (PDEs). It begins with a chapter of general interest, on the fundamental spaces (or test function spaces). The book advances and concludes with a chapter on Sobolev spaces, which are known to be very important in the resolution of PDEs. The very basic properties of distributions are examined
This book is an introductory course to the very important theory of distributions, as well as its applications in the resolution of partial differential equations (PDEs). It begins with a chapter of general interest, on the fundamental spaces (or test function spaces). The book advances and concludes with a chapter on Sobolev spaces, which are known to be very important in the resolution of PDEs.The very basic properties of distributions are examined in detail. Several formal methods have been first used, without rigorous justifications (Dirac function, principal value of Cauchy, finite parts of Hadamard). They find their natural frame in distribution theory. It is the same for Laplace transformation which is a fundamental tool in symbolic calculations.A detailed treatment is given to the convolution product for it is a central theme in distribution theory. Another very important instrument, covered in several chapters, is the Fourier transformation which is among the most fundamental tools in different mathematical disciplines, and also in physics. Convolution algebras, which are sufficient for the treatment of classical PDEs, are used in various applications.The general frame for the resolution of PDEs is the theory of kernels -- the first elements of which are sufficient to show the practicality of distribution theory in applications.Comments are provided to clarify the settings and sustain calculations. This book may be used by mathematicians, physicists, engineers and graduate students.Shipping Notes
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Format: Hardcover
It helped me via school, want to sell, if interested contact me.
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Reviewed in the United States on June 1, 2024
★★★★★ 5
Learn to Listen to and Converse with God instead of Talking at Him!!
Format: Paperback
Wow, at 49 years old this book changed my Christian life! It’s simple but profound and so needed. Slow down, listen to God, have conversation with Him instead of just talking at Him!! Life-changing!!
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Reviewed in the United States on November 21, 2020
★★★★★ 5
Learn how to talk with God
Format: Kindle
John did a great job using story telling to teach his we interact with God. Definite must read for young Christians!
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Reviewed in the United States on November 25, 2021
★★★★★ 5
A real life changer!
Format: Paperback
This little book has changed my life & the lives of many people I know. It’s equally meaningful for men and women. This is a must read!
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Reviewed in the United States on February 18, 2018
★★★★★ 5
God Speaks to You Today
Format: Paperback
I liked the whole book. I used portions of the book for a class on listening to God.
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Reviewed in the United States on August 21, 2018
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