This book describes the life and work of Henri Poincaré, detailing most of his unique achievements in mathematics and physics. It is divided into two parts—the first on Poincaré’s life, and the second on his contributions to the mathematical sciences. Apart from biographical details, attention is given to Poincaré’s results on automorphic functions; differential equations and dynamical systems; celestial mechanics; mathematical physics, in particular the theory of the electron and relativity; and topology (analysis situs). A chapter on philosophy explains Poincaré’s conventionalism in mathematics and his view of conventionalism in physics. The book shows how Poincaré reached his fundamentally new results in many different fields, how he thought about problems, and how one should read his work. Simultaneously, it is made clear how analysis and geometry are intertwined in Poincaré’s thinking and work. In dynamical systems, this becomes clear in his description of invariant manifolds, his association of differential equation flow with mappings, and his fixed-point theory. There is no comparable book on Poincaré presenting such a relatively complete vision of his life and the working of his very original mind. Scientists and engineers as well as general readers interested in the history of science will find this book of interest. Reviews of this book:"The title of this biography is particularly well chosen : Henri Poincaré was a true genius, and he was impatient. It gives a fair picture of both the man and the scientist, completed by particularly well chosen illustrations. Jean Mawhin, Université Catholique de Louvain, Belgium "Ferdinand Verhulst has written a true scientific biography, introducing Poincaré the man, his cultural milieu, and his mathematics. This book shows why, a century after his death, Poincaré's ideas still shape a substantial part of the mathematical sciences." Philip J Holmes, Princeton University, USAThe discovery of relativity is considered one of his minor accomplishments.

Albert Einstein is considered the greatest genius who ever lived, primarily for his 1905 relativity paper. But he got the Lorentz transformations, constancy of the speed of light, local time, relativistic mass, and theorem of corresponding states from Lorentz, and the relativity principle, clock synchronization method, and E=mc

^{2}from Poincare. Meanwhile, Poincare's 1905 relativity paper discovered the Lorentz group, covariance of Maxwell's equations, spacetime geometry, and relativistic gravity. Einstein completely missed these points, and did not even understand them until years later. Today relativity is taught based on Poincare's ideas.

The biography says:

The main priority controversy regarding the new mechanics, replacing Newtonian classical mechanics by relativity, is over special relativity, with prominent candidates Einstein, Lorentz, and Poincaré. [p.62] ...That is a polite way of saying that Einstein lied about the relativity story all his life. The obvious answer is that there was nothing that Einstein could have said about Poincare without diminishing his own status. He could not get away with saying that Poincare's work was deficient, or wrong, or unknown, or not influential, or not original, or anything like that. He just had to pretend that it did not exist.

In this respect, it is difficult to understand why Einstein, when describing the development of relativity in 1949 [Einstein 1950], mentions many scientists, in particular Lorentz, but omits Poincaré. [p.64]

Another biography last year was Henri Poincaré: A Scientific Biography. A recent AAAS Science magazine review (behind a paywall) says:

Despite his many brilliant interventions and mathematical virtuosity, Poincaré, Gray argues, made no great discovery in physics. Nonetheless, Gray emphasizes that for Poincaré “there is no valid or clear distinction to be made between mathematics and physics because the two are so intimately entangled.”The book seems to take the view that Poincare's discovery of special relativity as spacetime non-Euclidean geometry was a mathematical discovery, not a physical one, and it was perfected by Minkowski, not Poincare or Einstein. The book says:

He [Poincare] preferred a theory in which space and time were separate and Lorentz contractions really occurred, and argued, quite correctly, that because there could never be conclusions on this view that were incompatible with conclusions derived from a theory of space-time it was simple a matter of convenience which theory was adopted. [p.529]The book also discusses Poincare's many contributions to celestial mechanics and quantum mechanics.

The sole problem with the present sience regading space, as an ex. is hughe.

ReplyDeleteThe BigBang religious teorem is fundamented on a second flawed/faked sience the Redlgiht displacment aka The Doppler effect.

Both er pipedreams and have nothing to do with the reality that is emerging from the pervertions and lies in the sientific comunety about everything.

Tell me, how is it posible to belive in this effect, the logic is terrefying, how is it possible to state that the Doppler effect, is telling us that the Universe is expanding, this is a fundamental major f..up, its the point of otigin that its implicated in this shift because of speed, and the effect is even stated that we observe it from our Earth.

And this indicate thet EVERYTHING in the UNIVERSE have its starting point EXACTLY HERE inj our litle planet.

huh

Its the same as Galliloe fighted against, and since then nothing new have happened, even the present sience is half a millenium old.

Since the Earth is the midddpoint of everything we see.

And even wurse, despite all the idiotic retoric about some of us, regading the latest attac on the perveted and uttelry corruped sience, I dont see anything even remotly close to significant counter arguments.

And before I even bother to take it further, I will give You and the others ONE item to "meditate" over, and its the Obvious Flaw in this teorem, its even contradicted in their own explenation of the same Teorem, even this they cant gett right.

Whats the obvious flaw in this, and I dont talk about exdentig or wawe issue.

Just in the equation.

E = m x c2

If you solve this, then maybe I will continue to debate the future of our sience and the Quantum physics. if not, I dont see any reason for debate, Ill rader talk to the animals in my nabourhood.

Peace

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