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Methods of Mathematical Physics, Vol. 1 Volume 1 Edition

7 customer reviews
ISBN-13: 978-0470179529
ISBN-10: 047017952X
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About the Author

David Hilbert (1862 ¿ 1943) received his PhD from the University of Königsberg, Prussia (now Kaliningrad, Russia) in 1884. He remained there until 1895, after which he was appointed Professor of Mathematics at the University of Göttingen. He held this professorship for most of his life. Hilbert is recognized as one of the most influential mathematicians of the 19th and early 20th centuries. His own discoveries alone would have given him that honour, yet it was his leadership in the field of mathematics throughout his later life that distinguishes him. Hilbert's name is given to Infinite-Dimensional space, called Hilbert space, used as a conception for the mathematical analysis of the kinetic gas theory and the theory of radiations.

Richard Courant (1888 ¿ 1972) obtained his doctorate at the University of Göttingen in 1910. Here, he became Hilbert¿s assistant. He returned to Göttingen to continue his research after World War I, and founded and headed the university¿s Mathematical Institute. In 1933, Courant left Germany for England, from whence he went on to the United States after a year. In 1936, he became a professor at the New York University. Here, he headed the Department of Mathematics and was Director of the Institute of Mathematical Sciences - which was subsequently renamed the Courant Institute of Mathematical Sciences. Among other things, Courant is well remembered for his achievement regarding the finite element method, which he set on a solid mathematical basis and which is nowadays the most important way to solve partial differential equations numerically.

--This text refers to the Paperback edition.

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Product Details

  • Hardcover: 560 pages
  • Publisher: John Wiley; Volume 1 edition (January 15, 1953)
  • Language: English
  • ISBN-10: 047017952X
  • ISBN-13: 978-0470179529
  • Product Dimensions: 6.3 x 1.2 x 9.2 inches
  • Shipping Weight: 2.2 pounds
  • Average Customer Review: 4.4 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Best Sellers Rank: #1,758,307 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

14 of 16 people found the following review helpful By A. I. Haque on July 5, 2010
Format: Paperback Verified Purchase
This book is intended for mathematicians and not for physicists. All of the mathematics is developed through proofs of theorems. The chapter on approximation of functions is the best in the book. There is also a short introduction to Lebesgue integration which is the best explanation of what it actually means that I have ever seen! (i.e. not having to develop the messy business of measure theory that fills up 10s of pages in most books).

If you want to learn graduate level mathematics (i.e. analysis and PDEs) in gorey detail then this is the book for you. If you want to understand applications, then it is not. I don't like the term "mathematical physics." It depend on which department teaches it. A mathematician will focus on the topics in this book. A physicist would focus on methods and not on proofs.
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12 of 16 people found the following review helpful By P. Mohanamuraly on April 29, 2009
Format: Paperback
I would definitely not agree with any bad comments to this book. There are millions of books out there for you to workout problems and help you pass exams. But there is only one who actually teaches the subject and it's Courant. I don't expect literary genius out of a Mathematics book but clear development of the topics. The translation does a good job at it. Believe me if you really want to know the subject and get a feel for it read this book.This is not for the feckless as you will start defacing its stature with your comments. But the price tag is exorbitant and not many can afford to read this wonderful text. I had to borrow from my library as I cannot afford to buy one. 230+$ for two volumes is no joke especially for a student !!
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2 of 2 people found the following review helpful By Hari Rau-Murthy on November 24, 2013
Format: Paperback
I will not claim to have read the whole book . But I have read his brief stint on lebesgue integration(after seeing the comment 'theory of advance mathematics(not physics)' and his chapter on integral equations and on that in volume two giving a rigorous ground on generalized functions carefully. I give this book 5 stars based on what I have read.

The material on lebesgue integration being two pages long is clear because it is mostly formulation. It does not give proofs. However proofs are found in a great many places and there is no point in a book meant to be read, especially one like this, being encyclopedic. This is mainly useful as motivation(why do we need a new integral, how we end up needing the inverse image of the partitions of the range to be sets we can find a useful area of, and why we need the measure to be countably additive. His motivation for dominated convergence theorem is great, giving a weaker version that is easy to understand. Then he formulates what he means by the hilbert space being closed and how it implies completeness.(if you forgot what this means this is formulated in the couple pages where he talks about it too).

This motivation that courant and hibert have given is very important and missing in standard measure theory and integration texts (even the ones with flowery introductions to each theorem and chapter like STEIN and SHAKARCHI) because otherwise, this all feels like unnecessary complications.

The section on integral equations was very clear to me. Maybe it is because I struggled on it for so long and let it sit before picking up this section.
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By George Lucas on June 5, 2015
Format: Hardcover Verified Purchase
This is an excellent reference regarding applied mathematics for physics and related fields.
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