The Scientific Legacy of Poincare (History of Mathematics) by Eric Charpentier (PDF)

Description

Henri Poincare (1854-1912) was one of the greatest scientists of his time, perhaps the last one to have mastered and expanded almost all areas in mathematics and theoretical physics. He created new mathematical branches, such as algebraic topology, dynamical systems, and automorphic functions, and he opened the way to complex analysis with several variables and to the modern approach to asymptotic expansions. He revolutionized celestial mechanics, discovering deterministic chaos. In physics, he is one of the fathers of special relativity, and his work in the philosophy of sciences is illuminating. For this book, about twenty world experts were asked to present one part of Poincare’s extraordinary work. Each chapter treats one theme, presenting Poincare’s approach, and achievements, along with examples of recent applications and some current prospects. Their contributions emphasize the power and modernity of the work of Poincare, an inexhaustible source of inspiration for researchers, as illustrated by the Fields Medal awarded in 2006 to Grigori Perelman for his proof of the Poincare conjecture stated a century before. This book can be read by anyone with a master’s (even a bachelor’s) degree in mathematics, or physics, or more generally by anyone who likes mathematical and physical ideas. Rather than presenting detailed proofs, the main ideas are explained, and a bibliography is provided for those who wish to understand the technical details.

User’s Reviews

Editorial Reviews: Review The articles are very well written, indeed, and are of course autonomous. But even non-specialists will want to sample these wares. The mathematics is presented clearly and very accessible, and the numerous historical accounts and asides make add an additional welcome cultural element to whole experience. “[This book] is bound to be a hit across the mathematical spectrum: it has something for every one interested in any aspect of Poincaré’s work, which is to say, something for every one. —- MAA Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The Scientific Legacy of Poincaré(Editors) Éric Charpentier, Étienne Ghys, Annick LesneThe publisher’s blurb claims: “This book can be read by anyone with a master’s (even bachelor’s) degree in mathematics, or physics, or more generally by anyone who likes mathematical and physical ideas”. This would be more accurately restricted to: “This book can be read by anyone with a master’s (even bachelor’s) degree in mathematics or mathematical physics”.Under “Editorial Reviews” on the Amazon page an MMA Review claims “… even non-specialists will want to sample these wares … [This book] is bound to be a hit across the mathematical spectrum: it has something for everyone interested in Poincaré’s work, which is to say, something for every one”. This is totally unrealistic given the heavy mathematics.”Click to look inside” gives the Table of Contents plus six pages of general/historical Introduction. It is only by then clicking the “Please Surprise Me” that one gets samples typical of the whole book of heavy mathematics.This, of course, is not a criticism of the book itself. It only highlights too much enthusiasm on the part of its promoters.Many readers seek information about the activities of scientists and mathematicians and read the history of the research hoping to gain understanding. This is not such a book.Malcolm Cameron31 March 2012

⭐

Keywords

Free Download The Scientific Legacy of Poincare (History of Mathematics) in PDF format
The Scientific Legacy of Poincare (History of Mathematics) PDF Free Download
Download The Scientific Legacy of Poincare (History of Mathematics) 2010 PDF Free
The Scientific Legacy of Poincare (History of Mathematics) 2010 PDF Free Download
Download The Scientific Legacy of Poincare (History of Mathematics) PDF
Free Download Ebook The Scientific Legacy of Poincare (History of Mathematics)