Henri Poincare :A Scientific Biography

Publication subTitle :A Scientific Biography

Author: Gray Jeremy;;;  

Publisher: Princeton University Press‎

Publication year: 2012

E-ISBN: 9781400844791

P-ISBN(Paperback): 9780691152714

Subject: K81 Biography;K82 China;O1 Mathematics;O4 Physics;TB General Industrial Technology

Keyword: 物理学,一般工业技术,数学,传记

Language: ENG

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Description

Henri Poincaré (1854-1912) was not just one of the most inventive, versatile, and productive mathematicians of all time--he was also a leading physicist who almost won a Nobel Prize for physics and a prominent philosopher of science whose fresh and surprising essays are still in print a century later. The first in-depth and comprehensive look at his many accomplishments, Henri Poincaré explores all the fields that Poincaré touched, the debates sparked by his original investigations, and how his discoveries still contribute to society today.

Math historian Jeremy Gray shows that Poincaré's influence was wide-ranging and permanent. His novel interpretation of non-Euclidean geometry challenged contemporary ideas about space, stirred heated discussion, and led to flourishing research. His work in topology began the modern study of the subject, recently highlighted by the successful resolution of the famous Poincaré conjecture. And Poincaré's reformulation of celestial mechanics and discovery of chaotic motion started the modern theory of dynamical systems. In physics, his insights on the Lorentz group preceded Einstein's, and he was the first to indicate that space and time might be fundamentally atomic. Poincaré the public intellectual did not shy away from scientific controversy, and he defended mathematics against the attacks of logicians such as Bertrand Russell, opposed the views of Catholic apologists, and served as an expert witness in probability for the notorious Dreyfus case that polarized France.

Richly informed by letters and documents, Henri Poincaré demonstrates how one man's work revolutionized math, science, and the greater world.

Chapter

Poincaré and Projective Geometry

Poincaré and Projective Geometry

Poincaré’s Popular Writings on Physics

Poincaré’s Popular Writings on Physics

The Future of Mathematics

The Future of Mathematics

Poincaré among the Logicians

Poincaré among the Logicians

Poincaré’s Defenses of Science

Poincaré’s Defenses of Science

2 Poincaré’s Career

2 Poincaré’s Career

Childhood, Schooling

Childhood, Schooling

The École Polytechnique

The École Polytechnique

The École des Mines

The École des Mines

Academic Life

Academic Life

The Dreyfus Affair

The Dreyfus Affair

National Spokesman

National Spokesman

Contemporary Technology

Contemporary Technology

International Representative

International Representative

The Nobel Prize

The Nobel Prize

1911, 1912

1911, 1912

Remembering Poincaré

Remembering Poincaré

3 The Prize Competition of 1880

3 The Prize Competition of 1880

The Competition

The Competition

Fuchs, Schwarz, Klein, and Automorphic Functions

Fuchs, Schwarz, Klein, and Automorphic Functions

Uniformization, 1882 to 1907

Uniformization, 1882 to 1907

4 The Three Body Problem

4 The Three Body Problem

Flows on Surfaces

Flows on Surfaces

Stability Questions

Stability Questions

Poincaré’s Essay and Its Supplements

Poincaré’s Essay and Its Supplements

Les Méthodes Nouvelles de la Mécanique Céleste

Les Méthodes Nouvelles de la Mécanique Céleste

Poincaré Returns

Poincaré Returns

5 Cosmogony

5 Cosmogony

Rotating Fluid Masses

Rotating Fluid Masses

6 Physics

6 Physics

Theories of Electricity before Poincaré: Maxwell

Theories of Electricity before Poincaré: Maxwell

Poincaré’s Électricité et Optique, 1890

Poincaré’s Électricité et Optique, 1890

Larmor and Lorentz: The Electron and the Ether

Larmor and Lorentz: The Electron and the Ether

Poincaré on Hertz and Lorentz

Poincaré on Hertz and Lorentz

St. Louis, 1904

St. Louis, 1904

The Dynamics of the Electron

The Dynamics of the Electron

Poincaré and Einstein

Poincaré and Einstein

Early Quantum Theory

Early Quantum Theory

7 Theory of Functions and Mathematical Physics

7 Theory of Functions and Mathematical Physics

Function Theory of a Single Variable

Function Theory of a Single Variable

Function Theory of Several Variables

Function Theory of Several Variables

Poincaré’s Approach to Potential Theory

Poincaré’s Approach to Potential Theory

The Six Lectures in Göttingen, 1909

The Six Lectures in Göttingen, 1909

8 Topology

8 Topology

Topology before Poincaré

Topology before Poincaré

Poincare’s Work, 1895 to 1905

Poincare’s Work, 1895 to 1905

9 Interventions in Pure Mathematics

9 Interventions in Pure Mathematics

Number Theory

Number Theory

Lie Theory

Lie Theory

Algebraic Geometry

Algebraic Geometry

10 Poincaré as a Professional Physicist

10 Poincaré as a Professional Physicist

Thermodynamics

Thermodynamics

Probability

Probability

11 Poincaré and the Philosophy of Science

11 Poincaré and the Philosophy of Science

Poincaré: Idealist, Skeptic, or Structural Realist?

Poincaré: Idealist, Skeptic, or Structural Realist?

12 Appendixes

12 Appendixes

Elliptic and Abelian Functions

Elliptic and Abelian Functions

Maxwell’s Equations

Maxwell’s Equations

Glossary

Glossary

References

References

Articles and Books by Poincaré

Articles and Books by Poincaré

Other Authors

Other Authors

Name Index

Name Index

A

A

B

B

C

C

D

D

E

E

F

F

G

G

H

H

J

J

K

K

L

L

M

M

N

N

O

O

P

P

R

R

S

S

T

T

V

V

W

W

Z

Z

Subject Index

Subject Index

A

A

B

B

C

C

D

D

E

E

F

F

G

G

H

H

I

I

J

J

K

K

L

L

M

M

N

N

P

P

Q

Q

R

R

S

S

T

T

U

U

V

V

W

W

X

X

Z

Z

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