点击选择搜索分类
首页 - 进口原版- 正文
☆☆☆☆☆
||
[英] C.多兰(Chris Doran) 著
出版社: 世界图书出版公司 ISBN:9787510078552 版次:1 商品编码:11593494 包装:平装 外文名称:Geometric Algebra for Physicists 开本:16开 出版时间:2014-09-01 用纸:胶版纸 页数:578 正文语种:英文
Notation
1 Introduction
1.1 Vector (linear) spaces
1.2 The scalar product
1.3 Complex numbers
1.4 Quaternions
1.5 The cross product
1.6 The outer product
1.7 Notes
1.8 Exercises
2 Geometric algebra in two and three dimensions
2.1 A new product for vectors
2.2 An outline of geometric algebra
2.3 Geometric algebra of the plane
2.4 The geometric algebra of space
2.5 Conventions
2.6 Reflections
2.7 Rotations
2.8 Notes
2.9 Exercises
3 Classical mechanics
3.1 Elementary principles
3.2 Two—body central force interactions
3.3 Celestial mechanics and perturbations
3.4 Rotating systems and rigid—body motion
3.5 Notes
3.6 Exercises
4 Foundations of geometric algebra
4.1 Axiomatic development
4.2 Rotations and refiections
4.3 Bases, frames and components
4.4 Linear algebra
4.5 Tensors and components
4.6 Notes
4.7 Exercises
5 Relativity and spacetime
5.1 An algebra for spacetime
5.2 Observers, trajectories and frames
5.3 Lorentz transformations
5.4 The Lorentz group
5.5 Spacetime dynamics
5.6 Notes
5.7 Exercises
6 Geometric calculus
6.1 The vector derivative
6.2 Curvilinear coordinates
6.3 Analytic functions
6.4 Directed integration theory
6.5 Embedded surfaces and vector manifolds
6.6 Elasticity
6.7 Notes
6.8 Exercises
7 Classical electrodynamics
7.1 Maxwell's equations
7.2 Integral and conservation theorems
7.3 The electromagnetic field of a point charge
7.4 Electromagnetic waves
7.5 Scattering and diffraction
7.6 Scattering
7.7 Notes
7.8 Exercises
8 Quantum theory and spinors
8.1 Non—relativistic quantum spin
8.2 Relativistic quantum states
8.3 The Dirac equation
8.4 Central potentials
8.5 Scattering theory
8.6 Notes
8.7 Exercises
9 Multiparticle states and quantum entanglement
9.1 Many—body quantum theory
9.2 Multiparticle spacetime algebra
9.3 Systems of two particles
9.4 Relativistic states and operators
9.5 Two—spinor calculus
9.6 Notes
9.7 Exercises
10 Geometry
10.1 Projective geometry
10.2 Conformal geometry
10.3 Conformal transformations
10.4 Geometric primitives in conformal space
10.5 Intersection and reflection in conformal space
10.6 Non—Euclidean geometry
10.7 Spacetime conformal geometry
10.8 Notes
10.9 Exercises
11 Further topics in calculus and group theory
11.1 Multivector calculus
11.2 Grassmann calculus
11.3 Lie groups
11.4 Complex structures and unitary groups
11.5 The generallinear group
11.6 Notes
11.7 Exercises
12 Lagrangian and Hamiltonian techniques
12.1 The Euler—Lagrange equations
12.2 Classical models for spin—1/2 particles
12.3 Hamiltonian techniques
12.4 Lagrangian field theory
12.5 Notes
12.6 Exercises
13 Symmetry and gauge theory
13.1 Conservation laws in field theory
13.2 Electromagnetism
13.3 Dirac theory
13.4 Gauge principles for gravitation
13.5 The gravitational field equations
13.6 The structure of the Riemann tensor
13.7 Notes
13.8 Exercises
14 Gravitation
14.1 Solving the field equations
14.2 Spherically—symmetric systems
14.3 Schwarzschild black holes
14.4 Quantum mechanics in a black hole background
14.5 Cosmology
14.6 Cylindrical systems
14.7 Axially—symmetric systems
14.8 Notes
14.9 Exercises
Bibliography
Index
物理学家用的几何代数 [Geometric Algebra for Physicists] 电子书 下载 mobi epub pdf txt
物理学家用的几何代数 [Geometric Algebra for Physicists]-so88
物理学家用的几何代数 [Geometric Algebra for Physicists] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[英] C.多兰(Chris Doran) 著
出版社: 世界图书出版公司 ISBN:9787510078552 版次:1 商品编码:11593494 包装:平装 外文名称:Geometric Algebra for Physicists 开本:16开 出版时间:2014-09-01 用纸:胶版纸 页数:578 正文语种:英文
编辑推荐
《物理学家用的几何代数》包括导论;二维和三维的几何代数;经典力学;几何代数基础;相对性和时空;几何微积分;经典电动力学;量子论和自旋;多粒子态和量子纠缠;几何;微积分和群论中的高等论题;拉格朗日和哈密尔顿技巧;对称和规范理论;引力。《物理学家用的几何代数》读者对象:物理、几何代数专业的学生、老师和相关的科研人员。内容简介
《物理学家用的几何代数》是一部不仅让对物理学感兴趣的读者的读物,也是一本对物理现实感兴趣的读者的读物。几何代数在过去的十年中得到了快速发展,成为物理和工程领域的一个重要课题。作者是该领域的一个领头人物,做了许多重大进展。书中带领读者走进该领域,其中包括好多应用,黑洞物理学和量子计算,非常适于作为一本几何代数物理应用方面的研究生教程。内页插图
目录
PrefaceNotation
1 Introduction
1.1 Vector (linear) spaces
1.2 The scalar product
1.3 Complex numbers
1.4 Quaternions
1.5 The cross product
1.6 The outer product
1.7 Notes
1.8 Exercises
2 Geometric algebra in two and three dimensions
2.1 A new product for vectors
2.2 An outline of geometric algebra
2.3 Geometric algebra of the plane
2.4 The geometric algebra of space
2.5 Conventions
2.6 Reflections
2.7 Rotations
2.8 Notes
2.9 Exercises
3 Classical mechanics
3.1 Elementary principles
3.2 Two—body central force interactions
3.3 Celestial mechanics and perturbations
3.4 Rotating systems and rigid—body motion
3.5 Notes
3.6 Exercises
4 Foundations of geometric algebra
4.1 Axiomatic development
4.2 Rotations and refiections
4.3 Bases, frames and components
4.4 Linear algebra
4.5 Tensors and components
4.6 Notes
4.7 Exercises
5 Relativity and spacetime
5.1 An algebra for spacetime
5.2 Observers, trajectories and frames
5.3 Lorentz transformations
5.4 The Lorentz group
5.5 Spacetime dynamics
5.6 Notes
5.7 Exercises
6 Geometric calculus
6.1 The vector derivative
6.2 Curvilinear coordinates
6.3 Analytic functions
6.4 Directed integration theory
6.5 Embedded surfaces and vector manifolds
6.6 Elasticity
6.7 Notes
6.8 Exercises
7 Classical electrodynamics
7.1 Maxwell's equations
7.2 Integral and conservation theorems
7.3 The electromagnetic field of a point charge
7.4 Electromagnetic waves
7.5 Scattering and diffraction
7.6 Scattering
7.7 Notes
7.8 Exercises
8 Quantum theory and spinors
8.1 Non—relativistic quantum spin
8.2 Relativistic quantum states
8.3 The Dirac equation
8.4 Central potentials
8.5 Scattering theory
8.6 Notes
8.7 Exercises
9 Multiparticle states and quantum entanglement
9.1 Many—body quantum theory
9.2 Multiparticle spacetime algebra
9.3 Systems of two particles
9.4 Relativistic states and operators
9.5 Two—spinor calculus
9.6 Notes
9.7 Exercises
10 Geometry
10.1 Projective geometry
10.2 Conformal geometry
10.3 Conformal transformations
10.4 Geometric primitives in conformal space
10.5 Intersection and reflection in conformal space
10.6 Non—Euclidean geometry
10.7 Spacetime conformal geometry
10.8 Notes
10.9 Exercises
11 Further topics in calculus and group theory
11.1 Multivector calculus
11.2 Grassmann calculus
11.3 Lie groups
11.4 Complex structures and unitary groups
11.5 The generallinear group
11.6 Notes
11.7 Exercises
12 Lagrangian and Hamiltonian techniques
12.1 The Euler—Lagrange equations
12.2 Classical models for spin—1/2 particles
12.3 Hamiltonian techniques
12.4 Lagrangian field theory
12.5 Notes
12.6 Exercises
13 Symmetry and gauge theory
13.1 Conservation laws in field theory
13.2 Electromagnetism
13.3 Dirac theory
13.4 Gauge principles for gravitation
13.5 The gravitational field equations
13.6 The structure of the Riemann tensor
13.7 Notes
13.8 Exercises
14 Gravitation
14.1 Solving the field equations
14.2 Spherically—symmetric systems
14.3 Schwarzschild black holes
14.4 Quantum mechanics in a black hole background
14.5 Cosmology
14.6 Cylindrical systems
14.7 Axially—symmetric systems
14.8 Notes
14.9 Exercises
Bibliography
Index
前言/序言
物理学家用的几何代数 [Geometric Algebra for Physicists] 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 探索太阳系
- 中国通史 史学大家钱穆《国史大纲》课堂版 六十年后完整面世 中国史 历史知识读物书籍
- 授粉博物志(上) 莎拉.A.科比特编 王晨译
- CJ/T 458-2014中低速磁浮交通车辆悬浮控制 系统技术条件
- 书法入门-小牛顿百科馆
- 成功演讲的奥秘:如何通过一个强大的演讲表达自己
- 玩转乐高-拓展EV3 科普读物 书籍
- 涂装工(第2版)高级
- 玛雅大预言
- JGJ 120-2012建筑基坑支护技术规程
- 密码的奥秘(全彩)
- 中国式应酬+饭局+场面话套装(套装全3册)
- 淌过博物馆(XX版) 梁进
- 室内设计风格详解-中式 风格发展历史 设计节点阐述 新中式应用 案例分析 书籍
- 嗨 元素 奇幻旅程 元素化学科普书 趣味化学实验化学元素化合物基础知识全集 元素之旅化学科普漫画故事