作者：（法）珍-弗朗索瓦·蓬马雷特
页数：253
出版社：哈尔滨工业大学出版社
出版日期：2022
ISBN：9787576702538
电子书格式：pdf/epub/txt
内容简介
本书是一部反映为了处理深刻的物理问题而发展出来的数学理论的专著。
作者简介
珍-弗朗索瓦·蓬马雷特教授，他毕业于法国“精英大学”和巴黎第六大学，他的研究方向为偏微分方程组的形式理论与李伪群，并将研究成果应用于工程学和理论物理学，他写过5本专著，发表过150多篇论文。
目录
SECTION 1 INTRODUCTION
SECTION 2 DEFORMATION THEORY OF LIE ALGEBRAS
SECTION 3 VESSIOT STRUCTURE EUATIONS
SECTION 4 LINEAR AND NONLINEAR JANET SEQUENCES
SECTION 5 DEFORMATION THEORY OF LIE EQUATIO?NS
SECTION 6 EXPLICIT COMPUTATIONS
SECTION 7 CONCLUSION
SECTION 8 BIBLIOGRAPHY
APPENDIX 1
ABSTRACT
SECTION 1 INTRODUCTION
SECTION 2 HOMOLOGICAL ALGEBRA
SECTION 3 DIFFERENTIAL SYSTEMS
SECTION 4 DIFFERENTIAL MODULES
SECTION 5 APPLICATIONS
A) Riemann tensor
B) Weyl tensor
C) Parametrization
SECTION 6 CONCLUSION
REFERENCES FOR THE APPENDIX 1
APPENDIX 2
SECTION 1.1 WEYL TENSOR
1.2 Dimension 3
1.3 Dimension 4
1.4 Dimension 5
REFERENCES FOR THE APPENDIX 2
APPENDIX 3
ABSTRACT
SECTION 1 FIELD/MATTER COUPLINGS
REFERENCES FOR THE APPENDIX 3
编辑手记
SECTION 2 DEFORMATION THEORY OF LIE ALGEBRAS
SECTION 3 VESSIOT STRUCTURE EUATIONS
SECTION 4 LINEAR AND NONLINEAR JANET SEQUENCES
SECTION 5 DEFORMATION THEORY OF LIE EQUATIO?NS
SECTION 6 EXPLICIT COMPUTATIONS
SECTION 7 CONCLUSION
SECTION 8 BIBLIOGRAPHY
APPENDIX 1
ABSTRACT
SECTION 1 INTRODUCTION
SECTION 2 HOMOLOGICAL ALGEBRA
SECTION 3 DIFFERENTIAL SYSTEMS
SECTION 4 DIFFERENTIAL MODULES
SECTION 5 APPLICATIONS
A) Riemann tensor
B) Weyl tensor
C) Parametrization
SECTION 6 CONCLUSION
REFERENCES FOR THE APPENDIX 1
APPENDIX 2
SECTION 1.1 WEYL TENSOR
1.2 Dimension 3
1.3 Dimension 4
1.4 Dimension 5
REFERENCES FOR THE APPENDIX 2
APPENDIX 3
ABSTRACT
SECTION 1 FIELD/MATTER COUPLINGS
REFERENCES FOR THE APPENDIX 3
编辑手记
