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From the reviews of Vols. I-III:

"Since their publication in 1986 J-P. Serre's Collected Papers have already become one of the classical references in mathematical research. This is on the one hand due to the completeness of the collection (132 items) and on the other, of course, due to the beautiful and clear expositions of Serre's papers and their influence on mathematics.

As listed in the preface, the three volumes cover almost all articles published in mathematical journals between 1949 and 1984, the summaries of the author's courses at the Collège de France since 1956, some of his Séminaire notes, and some items not previously published. [...]

The author's notes at the end of each volume giving corrections and important recent progress as well as improvements of the main results represent a highlight of this collection. The mathematical community definitely looks forward to further volume(s) of Serre's outstanding work."

Zentralblatt MATH

Customer Reviews (1)

WARNING: this does not come in the advertised size
The actual size of this book is roughly 10 x 7 inches, about half an inch longer and wider than the other three volumes on amazon (it also does not have the folded cover pages)! Confusingly, it does have the same ISBN as the volume of the advertised size (available elsewhere). ... Read more

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From the reviews of Vols. I-III:

"Since their publication in 1986 J-P. Serre's Collected Papers have already become one of the classical references in mathematical research. This is on the one hand due to the completeness of the collection (132 items) and on the other, of course, due to the beautiful and clear expositions of Serre's papers and their influence on mathematics.

As listed in the preface, the three volumes cover almost all articles published in mathematical journals between 1949 and 1984, the summaries of the author's courses at the Collège de France since 1956, some of his Séminaire notes, and some items not previously published. [...]

The author's notes at the end of each volume giving corrections and important recent progress as well as improvements of the main results represent a highlight of this collection. The mathematical community definitely looks forward to further volume(s) of Serre's outstanding work."

Zentralblatt MATH

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This is a reproduction of a book published before 1923.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process.We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide.We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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This digital document is an article from Encyclopedia of Philosophy, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 1172 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.Explores major marketing and advertising campaigns from 1999-2006. Entries profile recent print, radio, television, billboard and Internet campaigns. Each essay discusses the historical context of the campaign, the target market, the competition, marketing strategy, and the outcome. ... Read more

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This digital document is an article from Encyclopedia of Philosophy, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 1225 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.Explores major marketing and advertising campaigns from 1999-2006. Entries profile recent print, radio, television, billboard and Internet campaigns. Each essay discusses the historical context of the campaign, the target market, the competition, marketing strategy, and the outcome. ... Read more

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This digital document is an article from Encyclopedia of Philosophy, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 549 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.Explores major marketing and advertising campaigns from 1999-2006. Entries profile recent print, radio, television, billboard and Internet campaigns. Each essay discusses the historical context of the campaign, the target market, the competition, marketing strategy, and the outcome. ... Read more

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Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes.'...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées) ... Read more

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Read Stillwell
I wish to draw attention to Stillwell's article "Number Theory as a Core Mathematical Dicipline". Stillwell says: "My suggestion is that mathematics, from kindergarten onwards, should be built around a core that is interesting at all levels, capable of unlimited development, and strongly connected to all parts of mathematics. My paper attempts to show that number theory meets these requirements, and that it is natural to build modern mathematics around such a core." The rest of the paper is a wonderful display of beautiful number theory with deep connections with all major areas of mathematics. Naturally there are connections with algebra, and "this is not surprising, because most basic commutative algebra is derived from Gauss's Disquisitiones Arithmeticae via Dirichlet and Dedekind". For example, a "wonderful constellation of results comes from forming the product of elements in an abelian group in two ways", for instance Fermat's little theorem: a^(p-1)=1 mod p when gcd(a,p)=1. This is because the list a,2a,...,(p-1)a mod p must be a permutation of 1,2,...,(p-1) mod p since all elements are nonzero and unequal (since a is invertible), so a*2a*...*(p-1)a=1*2*...*(p-1) mod p, i.e. a^(p-1)*1*2*...*(p-1)=1*2*...*(p-1) mod p, i.e. a^(p-1)=1 mod p. There are also connections with complex numbers. Since (a+bi)(c+di)=(ac-bd)+(ad+bc)i, the multiplicative property o absolute value reads (a^2+b^2)(c^2+d^2)=(ac-bd)^2+(ad+bc)^2, which is a classical number theoretic identity apparently know to Diophantus when he said things like "65 is naturally divided into two squares in two ways, namely into 7^2+4^2 and 8^2+1^2, which is due to the fact that 65 is the product of 13 and 5, each of which is the sum of two squares". Now, 13 and 5 in turn are sums of two squares "because" they are primes of the form 4n+1, which is a theorem most easily proved by factorisation in Gaussian integers, i.e. m+ni. The theory of Gaussian integers is largely identical to that of ordinary integers since there is a notion of quotient and remainder from which we get an Euclidean algorithm and from there we prove unique factorisation etc. For ordinary quotient and remainder we need to know, when dividing by x, that multiples of x come within a distance x of any number. With the Gaussian integers we need to know that multiples of m+ni get within abs(m+ni) of any complex number, which is geometrically clear since the multiples of m+ni make a square lattice with side length abs(m+ni). So number theory is apparently also connected with geometry. An even better illustration of this is Diophantus's parametrisation of Pythagorean triples. Primitive Pythagorean triples (a,c,b) correspond to rational points on the unit circle (a/c,b/c) and these in turn correspond to lines through (-1,0) with rational slope t, so we find them by solving y=tx+t and x^2+y^2=1, which gives x=(1-t^2)/(1+t^2) and y=2t/(1+t^2). This rationalisation of the circle also pays of in calculus by showing us how to rationalise integrands like sqrt(1-x^2). Indeed, Bernoulli explicitly credited Diophantus for the substitution he used to turn the integrand for the arc length of a circle into 1/(1+t^2) from where the infinite series of pi follows by geometric series expansion and term-by-term integration. As Bernoulli also recognised, number theory also explains why integrands like sqrt(1-x^4) cannot be rationalised. Assume it can, sqrt(1-x^4)=y, square both sides and multiply up denominators to get Z^4-X^4=Y^2. the impossibility of this when X,Y,Z are integers was essentially proved by Fermat, by infinite descent, and polynomials behave sufficiently like integers for us to be able to mimic his proof in the polynomial case. ... Read more

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This digital document is an article from Europe, 1450 to 1789: An Encyclopedia of the Early Modern World, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 716 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.Explores European history from 1450-1789, from the print revolution to the French Revolution. Includes articles written by eminent scholars covering major topics in art, government, and education as well as providing biographical entries on key figures of the period. Also covers topics specific to the era, such as apocalypticism, guilds, food riots, royal mistresses and lovers, the Spanish Inquisition, Utopia and others. ... Read more

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This digital document is an article from Europe, 1450 to 1789: An Encyclopedia of the Early Modern World, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 804 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.Explores European history from 1450-1789, from the print revolution to the French Revolution. Includes articles written by eminent scholars covering major topics in art, government, and education as well as providing biographical entries on key figures of the period. Also covers topics specific to the era, such as apocalypticism, guilds, food riots, royal mistresses and lovers, the Spanish Inquisition, Utopia and others. ... Read more

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A great difficulty facing a biographer of Cauchy is that of delineating the curious interplay between the man, his times, and his scientific endeavors. Professor Belhoste has succeeded admirably in meeting this challenge and has thus written a vivid biography that is both readable and informative. His subject stands out as one of the most brilliant, versatile, and prolific fig ures in the annals of science. Nearly two hundred years have now passed since the young Cauchy set about his task of clarifying mathematics, extending it, applying it wherever possible, and placing it on a firm theoretical footing. Through Belhoste's work we are afforded a detailed, rather personalized picture of how a first rate mathematician worked at his discipline - his strivings, his inspirations, his triumphs, his failures, and above all, his conflicts and his errors. ... Read more

Customer Reviews (1)

Excellent book (maybe too much information for most readers)
A scholarly well-cited book which I recommend to anyone who cannot read French or would prefer to read an English translation.

In my opinion, Frank does a great job in translating this book. By the way, if you are researching on Cauchy and need another resource, be sure to check out God created the integers by Stephen Hawking) [...]
Hope that helps. ... Read more

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Often referred to as the Newton of France, Pierre Simon Laplace has been called the greatest scientist of the late eighteenth and early nineteenth centuries. He affirmed the stability of the solar system and offered a powerful hypothesis about its origins. A skillful mathematician and popular philosopher, Laplace also did pioneering work on probability theory, in devising a method of inverse probabilities associated with his classic formulation of physical determinism in the universe. With Lavoisier and several younger disciples, he also made decisive advances in chemistry and mathematical physics.

Roger Hahn, who has devoted years to researching Laplace's life, has compiled a rich archive of his scientific correspondence. In this compact biography, also based in part on unpublished private papers, Hahn follows Laplace's journey from would-be priest in the provinces to Parisian academician, popularizer of science during the French Revolution, religious skeptic, and supporter of Napoleon. By the end of his life, Laplace had become a well-rewarded dean of French science.

In this first full-length biography, Hahn illuminates the man in his historical setting. Elegantly written, Pierre Simon Laplace reflects a lifetime of thinking and research by a distinguished historian of science on the fortunes of a singularly important figure in the annals of Enlightenment science.