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Title: Hilbert-Courant by Constance Reid ISBN: 0-387-04999-1 Publisher: Springer Verlag Pub. Date: September, 1986 Format: Paperback Volumes: 1 List Price(USD): $29.95 |
Average Customer Rating: 4.5 (4 reviews)
Rating: 5
Summary: David Hilbert, one of the greatest mathematicians ever
Comment: David Hilbert was arguably one of the greatest mathematicians
ever!. He contributed to several branches of mathematics,
including functional analysis, mathematical physics,
calculus of variations, and algebraic number theory.
(Everyone knows what a Hilbert space is right!)
At the turn of the 20th century, Hilbert enumerated
23 unsolved problems of mathematics that he considered worthy
of further investigation. To this day, very few of these, including
the 10th problem, on the finite solvability of Diophantine
equations, have been resolved! (thanks to
Yuri Matiyasevich, Martin Davis and Julia Robinson!).
Besides, Hilbert was also a character (read the section
when Norbert Weiner of cybernetics fame, came to give
a talk at Gottingen, and .... :-)).
Incidentally the author Constance Reid is the sister of
Julia Robinson (of Hilbert's 10th problem fame!),
hence there can no one better to write about
Hilbert!. Besides Constance Reid is a well known chronicler
of mathematicians lives (this one is a tour de force and
her best!).
No one can can call himself/herself a mathematician without
having Reid's book on his/her bookshelf. Strongly
recommended!
Rating: 4
Summary: Justly famous--a classic of mathematical biography
Comment: "Hilbert" is justly famous as one of the best mathematical biographies around. Constance Reid, who also wrote a biography of Hilbert's student Courant, initially ran into some resistance from Hilbert's associates when she started work on this book. Max Born was not keen on the idea of a woman, who was neither German nor a mathematician, writing a study of Hilbert's life. Born was enthusiastic about the final product, however, and it has become a classic.
Hilbert took over from Poincare the title of the most famous mathematician in the world. His mathematical achievements are numerous and varied; Reid does a good job of providing an overview of the impact Hilbert had on many different fields, and of his style; his strengths and weaknesses. There is a good deal of coverage of the famous twenty-three Hilbert problems, presented to the Second International Congress of Mathematicians in Paris in 1900, including a large section of the talk Hilbert gave.
Reid paints a vivid picture of the mathematical circle at Gottingen, a luminous collection of talents. Minkowski and Hilbert were close friends; Klein was the director of the institute there; Emmy Noether was there; Hurwitz; Zermelo; Landau; the list is long and impressive. It's all the more sad to read about the way the Institute was destroyed by the Nazis in the name of racial purity. Almost without exception the leading mathematicians emigrated, one by one, to America. Hilbert, who had retired in 1930 (retirement at age 68 was mandatory) was forced to watch as the work of decades was dismantled. The last years, of age, fading memory and the privations of war, are mercifully given less than a dozen pages.
Hilbert's life leads from the great days of the mid-nineteenth century to the Nazis and the atomic bomb. Reid has done a wonderful job of capturing the feel of Germany over his long life, and the mathematic impact and importance of his work. A compulsory book for those interested in modern mathematical history.
Rating: 4
Summary: This is a great biography of great mathematian.
Comment: Very well written. Gives a great feel for who Hilbert was as a person. It also does a good job of placing his achievments amoung the other mathematians of his time. I have attempted reading a few biography's of other mathematicians that focus on the math and not the person. They are almost unreadable. This book does not make this mistake. I have just bought "Foundations of Geometry" because of this book. I highly recommend it. PS - 4 stars is as high a rating as I give. I like having room to move for the truely fantastic.
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Title: The Honors Class: Hilbert's Problems and Their Solvers by Benjamin Yandell ISBN: 1568811411 Publisher: AK Peters, Ltd. Pub. Date: 01 December, 2001 List Price(USD): $39.00 |
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Title: Courant by Constance Reid ISBN: 0387946705 Publisher: Copernicus Books Pub. Date: April, 1996 List Price(USD): $15.00 |
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Title: Partial Differential Equations: Analytical and Numerical Methods by Mark S. Gockenbach ISBN: 0898715180 Publisher: Society for Industrial & Applied Mathematics Pub. Date: October, 2002 List Price(USD): $69.00 |
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Title: The Music of the Primes : Searching to Solve the Greatest Mystery in Mathematics by Marcus du Sautoy ISBN: 0066210704 Publisher: HarperCollins Pub. Date: 29 April, 2003 List Price(USD): $24.95 |
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Title: Elements of the Theory of Functions and Functional Analysis by A. N. Kolmogorov, S. V. Fomin ISBN: 0486406830 Publisher: Dover Pubns Pub. Date: 17 February, 1999 List Price(USD): $12.95 |
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