Hilbert
Courant
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Books: Hilbert Courant

Hilbert Courant

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Manufacturer: Springer
Author: Constance Reid
Binding: Paperback
Publication Date: 1986-05-22
Publisher: Springer
Label: Springer
Number Of Pages: 547

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Editorial Review
Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint. These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the dramatic scientific history expressed in the lives of these two great scientists and described in the lively, nontechnical writing style of Contance Reid.
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Customer Reviews

For non-mathematicians by a non-mathematician author 2008-06-23
Constance Reid is a non-mathematician author, so she is the best person who can explain the 'abstract' modern math to the curious non-mathematicians. By following the book on the Greatest mathematician in 20th AD, the readers can understand the major development of Modern Math evolved around Hilbert and all the world's top mathematicians gathered in Gottingen before WWII.
Most of us learn abstract math without knowing the background from which these abstract concepts were derived. In this book (chapter VI: Changes) I learn from Reid the simple yet revealing explanation of 'Ideals' being born out of conflict of 'Algebraic Number Field' with the 'Fundamental Law of Arithmetics', and Kummer's Ideal Number, Kronecker and Dedekind's complicated 'Ideal Primes', and finaly David Hilbert's great contribution in the 'Ideal Primes' theory.


David Hilbert 2004-10-01
A excellent biography of the German mathematician David Hilbert. Particularly poignant is the loss of Minknowski and the decline of mathematics at Gottingen following the Nazi prosecutions.


David Hilbert, one of the greatest mathematicians ever 2001-11-23
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!


David Hilbert, one of the greatest mathematicians ever 2001-11-23
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!


Justly famous--a classic of mathematical biography 2001-01-20
"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.


This is a great biography of great mathematian. 2000-06-15
Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint. These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the dramatic scientific history expressed in the lives of these two great scientists and described in the lively, nontechnical writing style of Contance Reid.


Hilbert, his mathematics and Gottingen 1998-05-29
"Hilbert" tells, in a direct and pleasant way, about both the history and mathematics of this great German mathematician. I recommend it to whoever is interested in learning about the social, scientific and political contexts of mathematics in Germany at the beginning of our century. It's an important source of information for those interested in history of mathematics. Important references are also made regarding the developments of physics in Germany prior to the 2nd World War. The book is a source of information on the roots of some developments of science which are, nowadays, fundamental to courses in areas of mathematics, physics and engineering (such as calculus of variations, integral equations, foundations of mathematics and mathematical physics). As informative and well written as "Courant", by the same author.

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