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《数学在19世纪的发展(第1卷)(英文版)》适合从事数学研究和教学的本科水平以上的学生和教师学习参考，也适合研究科学史、数学史和关心、研究一般的科学思想文化发展的读者阅读。
作者简介
作者：（德国）克莱因（Felix Klein）
目录
Preface
Introduction
ChapterⅠ Gauss
Applied Mathematics
Pure Mathematics
ChapterⅡ France and the Ecole Polytechnique in the First Decades of the Nineteenth Century
Mechanics and Mathematical Physics
Geometry
Analysis and Algebra
Chapter Ⅲ The Founding of Crelle's Journal and the Rise of Pure Mathematicsin Germany
The Analysts of Crelle's Journal
The Geometers of Crelle's Journal
Chapter Ⅳ The Development of Algebraic Geometry After Moebius， Pluecker and Steiner
The Elaboration of a Purely Projective Geometry
The Parallel Development of Algebra： Invariant Theory
N—dimensional Space and General Complex Numbers
Chapter Ⅴ Mechanics and Mathematical Physics in Germany and England Until About 1880
Mechanics
Mathematical Physics
Chapter Ⅵ The General Theory of Functions of Complex Variables According to Riemann and Weierstrass
Bernhard Riemann
Karl Weierstrass
Chapter Ⅶ Deeper Insigbt into the Nature of Algebraic Varieties and Structures
The Further Development of Algebraic Geometry
The Theory of Algebraic Integers and Its Interaction with the Theory of
Algebraic Functions
Chapter Ⅷ Group Theory and Function Theory； Automorphic Functions
Group Theory
Automorphic Functions
文摘
版权页：
We are led into a totally different kind of world as we turn to Dirichlet's contemporary and colleague， Niels Henrik Abel.
In Abel we have one of the great and original geniuses of our science， who， likeGalois， was completely devoted to problems of the most purely abstract mathemat ics， of the most general consequences.But perhaps it was only the brevity of his life，which he had in common with the great Frenchman， that prevented either of themfrom developing his talents in other directions.
Abel was born on August 5， 1802， the son of a pastor in the small Norwegian town of Finho.Raised in very reduced circumstances， he was personally shy，depressed by poverty and apparent failure.His basic disposition， in which the consumption he contracted early may have played a part， was deeply melancholic； itwas relieved only by lively contacts with his Norwegian friends and， above all， byan ever—growing enthusiasm for his own scientific productions.
We are quite precisely informed of the details of Abel's life and personalitythrough the Memorial published by the Norwegian government in 1902 for the centenary of Abel's birth， a celebration attended by mathematicians of all nations.Thisbook is a welcome supplement to the standard edition of Abel's works， published intwo volumes by Sylow and Lie in 1881.
《数学在19世纪的发展(第1卷)(英文版)》适合从事数学研究和教学的本科水平以上的学生和教师学习参考，也适合研究科学史、数学史和关心、研究一般的科学思想文化发展的读者阅读。
作者简介
作者：（德国）克莱因（Felix Klein）
目录
Preface
Introduction
ChapterⅠ Gauss
Applied Mathematics
Pure Mathematics
ChapterⅡ France and the Ecole Polytechnique in the First Decades of the Nineteenth Century
Mechanics and Mathematical Physics
Geometry
Analysis and Algebra
Chapter Ⅲ The Founding of Crelle's Journal and the Rise of Pure Mathematicsin Germany
The Analysts of Crelle's Journal
The Geometers of Crelle's Journal
Chapter Ⅳ The Development of Algebraic Geometry After Moebius， Pluecker and Steiner
The Elaboration of a Purely Projective Geometry
The Parallel Development of Algebra： Invariant Theory
N—dimensional Space and General Complex Numbers
Chapter Ⅴ Mechanics and Mathematical Physics in Germany and England Until About 1880
Mechanics
Mathematical Physics
Chapter Ⅵ The General Theory of Functions of Complex Variables According to Riemann and Weierstrass
Bernhard Riemann
Karl Weierstrass
Chapter Ⅶ Deeper Insigbt into the Nature of Algebraic Varieties and Structures
The Further Development of Algebraic Geometry
The Theory of Algebraic Integers and Its Interaction with the Theory of
Algebraic Functions
Chapter Ⅷ Group Theory and Function Theory； Automorphic Functions
Group Theory
Automorphic Functions
文摘
版权页：
We are led into a totally different kind of world as we turn to Dirichlet's contemporary and colleague， Niels Henrik Abel.
In Abel we have one of the great and original geniuses of our science， who， likeGalois， was completely devoted to problems of the most purely abstract mathemat ics， of the most general consequences.But perhaps it was only the brevity of his life，which he had in common with the great Frenchman， that prevented either of themfrom developing his talents in other directions.
Abel was born on August 5， 1802， the son of a pastor in the small Norwegian town of Finho.Raised in very reduced circumstances， he was personally shy，depressed by poverty and apparent failure.His basic disposition， in which the consumption he contracted early may have played a part， was deeply melancholic； itwas relieved only by lively contacts with his Norwegian friends and， above all， byan ever—growing enthusiasm for his own scientific productions.
We are quite precisely informed of the details of Abel's life and personalitythrough the Memorial published by the Norwegian government in 1902 for the centenary of Abel's birth， a celebration attended by mathematicians of all nations.Thisbook is a welcome supplement to the standard edition of Abel's works， published intwo volumes by Sylow and Lie in 1881.
| ISBN | 9787040453515 |
|---|---|
| 出版社 | 高等教育出版社 |
| 作者 | 克莱因 (Felix Klein) |
| 尺寸 | 16 |