Selasa, 07 Februari 2012

[M380.Ebook] Download Ebook Evariste Galois 1811-1832 (Vita Mathematica), by Laura Toti Rigatelli

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Evariste Galois 1811-1832 (Vita Mathematica), by Laura Toti Rigatelli

Evariste Galois 1811-1832 (Vita Mathematica), by Laura Toti Rigatelli



Evariste Galois 1811-1832 (Vita Mathematica), by Laura Toti Rigatelli

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Evariste Galois 1811-1832 (Vita Mathematica), by Laura Toti Rigatelli

Evariste Galois' short life was lived against the turbulent background of the restoration of the Bourbons to the throne of France, the 1830 revolution in Paris and the accession of Louis-Phillipe. This new and scrupulously researched biography of the founder of modern algebra sheds much light on a life led with great intensity and a death met tragically under dark circumstances. Sorting speculation from documented fact, it offers the fullest and most exacting account ever written of Galois' life and work. It took more than seventy years to fully understand the French mathematician's first mémoire (published in 1846) which formulated the famous "Galois theory" concerning the solvability of algebraic equations by radicals, from which group theory would follow. Obscurities in his other writings - mémoires and numerous fragments of extant papers - persist and his ideas challenge mathematicians to this day. Thus scholars will welcome those chapters devoted specifically to explicating all aspects of Galois' work. A comprehensive bibliography enumerates studies by and also those about the mathematician.

  • Sales Rank: #2958009 in Books
  • Brand: Brand: Birkhäuser
  • Published on: 2013-10-04
  • Original language: English
  • Number of items: 1
  • Dimensions: 9.25" h x .38" w x 6.10" l, .54 pounds
  • Binding: Paperback
  • 163 pages
Features
  • Used Book in Good Condition

Review

"This very pleasant, interesting and well-written biography is based on the analysis and interpretation of a series of hitherto neglected documents found by the author in the French archives. Certainly a book to recommend and that every mathematical library should have."

--Numerical Algorithms

Language Notes
Text: English (translation)
Original Language: Italian

From the Back Cover
Evariste Galois' short life was lived against the turbulent background of the restoration of the Bourbons to the throne of France, the 1830 revolution in Paris and the accession of Louis-Phillipe. This new and scrupulously researched biography of the founder of modern algebra sheds much light on a life led with great intensity and a death met tragically under dark circumstances. Sorting speculation from documented fact, it offers the fullest and most exacting account ever written of Galois' life and work. It took more than seventy years to fully understand the French mathematician's first memoire (published in 1846) which formulated the famous 'Galois theory' concerning the solvability of algebraic equations by radicals, from which group theory would follow. Obscurities in his other writings - memoires and numerous fragments of extant papers - persist and his ideas challenge mathematicians to this day. Thus scholars will welcome those chapters devoted specifically to explicating all aspects of Galois' work. A comprehensive bibliography enumerates studies by and also about the mathematician.

Most helpful customer reviews

3 of 3 people found the following review helpful.
Evariste Galois 1811-1832
By Sam Adams
"Since no thoroughly researched biography of Galois was available, I decided to try and fill the gap, starting off from documentation in archives, and evidence from contemporary memoirs and newspapers." (Preface)

Much of this book is about French politics during Galois' life. In the English edition, the author added a concluding 23 page essay on "The Mathematical Work of Evariste Galois". Without this addition and the bibliographical addition mentioned below, this book would be, for my interests, of no significant value.

Along with the 23 page essay on Galois' mathematics, the author included in the English translation a useful addition to the bibliography: 56 articles and books, listed chronologically, for "Studies on Classical Galois Theory", by which she means "the development of Galois ideas on resolvability of algebraic equations up to the modern abstract point of view, i.e., from Betti (1851) to Artin (1930)."

The only English language books in this list are:
Netto (1892, from German original of 1882) Theory of Substitutions and Its Application to Algebra;
Dickson (1903) Introduction to the Theory of Algebraic Equations;
Cajori (1904) An Introduction to the Modern Theory of Equations;
Wussing (1984, from German original of 1969), The Genesis of the Abstract Group Concept;
Edwards (1984) Galois Theory;
Tignol (1988, from French original of 1980) Galois Theory of Algebraic Equations.

"I do not acknowledge anybody's advise or encouragement as being responsible for the good qualities of my work." - Evariste Galois

From his preface for his mémoires: Rigatelli, page 100.

12 of 15 people found the following review helpful.
An excellent and enjoyable account...
By Christopher G. Robinson
of one of the strangest chapters in the history of mathematics. For those who know of Galois' life only from E.T.Bell's telling this work will hold surprises and serve to part his overly romantic fog with the clear light of solid scholarship.

See all 2 customer reviews...

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