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Description
Generalized Functions and Partial Differential EquationsThis self contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to solving a variety of problems in partial differential equations. A major portion of the text is based on material included in the books of L. Schwartz, who developed the theory of distributions, and in the books of Gelfand and Shilov, who deal with generalized functions of any class and their use in solving
This self-contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to solving a variety of problems in partial differential equations. A major portion of the text is based on material included in the books of L. Schwartz, who developed the theory of distributions, and in the books of Gelfand and Shilov, who deal with generalized functions of any class and their use in solving the Cauchy problem. In addition, the author provides applications developed through his own research.Geared toward upper-level undergraduates and graduate students, the text assumes a sound knowledge of both real and complex variables. Familiarity with the basic theory of functional analysis, especially normed spaces, is helpful but not necessary. An introductory chapter features helpful background on topological spaces. Applications to partial differential equations include a treatment of the Cauchy problem, the Goursat problem, fundamental solutions, existence and differentiality of solutions of equations with constants, coefficients, and related topics. Supplementary materials include end-of-chapter problems, bibliographical remarks, and a bibliography.
Binding Type: Paperback
Publisher: Dover Publications
Published: 12/10/2005
ISBN: 9780486446103
Pages: 340
Weight: 0.82lbs
Size: 8.50h x 5.58w x 0.72d
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4.8 ★★★★★
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★★★★★ 4
Four Stars: Insightful and Impactful Reading
Format: Hardcover
This book provides clarity in human relationships pertaining to workplace, family, and social circles. Author Mel Robbins explains the human tendency of needing to belong and bond, having personal freedoms and space to make informed choices, and providing coping strength to not feel over burdened due to work or perceived social obligations or human stereotypes. "Let Them", "Let Me" is a series of strategies/skills that help one regain focus on finite time and energies to have more productive personal relationships and work outcomes. The book teaches one to de-prioritize things and channel emotions into actionable goals to set healthy boundaries in selection of friends, career paths, and effectively resolving conflicts. Some chapters are overly redundant (and precludes a fifth star rating); however, it's a worthwhile book that definitively helps me set more impactful goals in 2026 and beyond.
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Reviewed in the United States on January 31, 2026
★★★★★ 5
Love this book!!
I just finished *The Let Them Theory* by Mel Robbins, and I can honestly say it completely shifted my mindset. The concept is so simple—“let them”—but it’s incredibly powerful. Instead of stressing over what other people think, say, or do, this book teaches you to let go of that control and focus on yourself instead.
What I loved most is how practical it is. It’s not full of complicated advice—it’s something you can actually apply in real life, whether it’s relationships, friendships, or everyday stress. I found myself reflecting on so many situations where I was wasting energy trying to control things I simply can’t.
Since reading it, I feel lighter, less anxious, and more in control of my own life. It’s honestly a reminder that peace comes from within, not from trying to manage everyone else.
If you’re someone who overthinks, people-pleases, or struggles with letting go, I highly recommend this book. It’s simple, but it hits deep.
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Reviewed in the United States on March 26, 2026
★★★★★ 5
NON FICTION IS A GREAT WAY TO LISTEN WHILE YOU DRIVE! TRY AUDIBLE!
Format: Audiobook
LET THEM
AUDIBLE NON-FICTION INSPIRATIONAL BOOK ON LISTENING TO MEL ROBBINS MOTIVATIONAL ADVICE MAKES MY DRIVING DESTINATIONS ENJOYABLE! I had something like 24 AUDIBLE CREDITS that have built up because I'm a visual person that loves to read. I've had the membership for over ten years and I only like certain NON FICTION SELF DEVELOPMENT books which I listen to Memoirs, Self help, but never fiction books, because my imagination is more vivid when I read. I always either listen to my podcasts on Spotify or NON-FICTION on AUDIBLE which is owned by Amazon. I can't drive anywhere without my Podcasts or very few Non-Fiction Titles that interest me, but I have had those credits and I love MEL ROBBINS so I decided to try it on AUDIBLE. My friends who read that listen to fiction on AUDIO understood why I bought the same fictional title and I had already loved reading it on my Kindle. It was a favorite lifetime reading experience and I own many of the same KINDLE & AUDIBLE versions but I noticed that fiction book that it was one of the most beautifully written books that when I went to listen to it, I quickly gave up because it was bland. I have been told by more frequent readers like myself who listen to the Audio version and recommend it to me on Audio since they enjoyed it better have said listening to fiction is a skill that you have to develop, so I stick to NON FICTION and I need to listen to something while I'm driving so I buy the Kindle Version & the AUDIBLE and it makes my driving to destinations shorter.v That's why I have Spotify because there's two favorite podcasts but I pay extra for no commercials and now my top favorite podcast has commercials which I 'm considering cancelling because the reason I pay extra is because the commercials drive me crazy so now Spotify says it's up to the podcast. The reason I've been a member since 2018, is because it is synced to the Bluetooth, in my car and the podcasts don't require Cell towers so you don't get the buffering that I do with Audible in areas where there aren't Cell towers which we call them dead zones. I'm recommending this AUDIBLE PURCHASE called, "LET THEM," because MEL ROBBINS is a new motivational author to me, and she wrote the book which she has some fascinating inspirational content, that I have learned some ideas to improve my life. She is a fantastic narrator in her soothing voice. One nice thing about AUDIBLE is they are extremely friendly and if you don't like the AUDIO BOOK Listening experience, you can return it, which you can't do with the KINDLE Books. so I have had to return something only twice in fifteen years, since I usually love what I purchase. I do recommend this book on AUDIBLE to listen to or if you don't have a membership they used to have a free trial and a free book if you're a new member. But I'm not sure, but however medium you choose this is a FAVORITE and it's a bestseller that I can promise you will love it, as well. It has a very high rating of tens of thousands of five star ratings which is even more evident that it's a Spectacular choice!
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Reviewed in the United States on July 24, 2025
★★★★★ 5
Book of life
Format: Hardcover
This book is a fantastic read, I think this is a book everyone should read. Very insightful and informative book for life.
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Reviewed in the United States on May 15, 2026
★★★★★ 5
HIGHLY RECOMMEND
Format: Audiobook
I love Mel Robbin’s and this audiobook gave me a different perspective on my life. I would highly recommend it’s so easy to understand and it’s so enjoyable and enlightening to listen to.
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Reviewed in the United States on May 15, 2026
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