经典力学新基础

所属分类:力学  
出版时间:2009-1   出版时间:科学   作者:赫斯腾萨   页数:703  
Tag标签:物理,力学,科学,英语  

内容概要

This book provides an introduction to geometric algebra as an unified language for physics and mathematics. It containes extensive applications to classical mechanics in a textbook format suitable for courses at an intermediate level. The text is supported by more than 200 diagrams to help develop geometrical and physical intuition.Besides covering the standard material for a course on the mechanics of particles and rigid bodies, the book introduces new, coordinatefree methods for rotational dynamics and orbital mechanics,developing these subjects to a level well beyond that of other textbooks. These methods have been widely applied in recent years to biomechanics and robotics, to computer vision and geometric design, to orbital mechanics in governmental and industrial space programs, as well as to other branches of physics. The book applies them to the major perturbations in the solar system, including the planetary perturbations of Mercury's perihelion.    Geometric algebra integrates conventional vector algebra (along with its established notations) into a system with all the advantages of quaternions and spinors. Thus, it increases the power of the mathematical language of classical mechanics while bringing it closer to the language of quantum mechanics. This book systematically develops purely mathematical applications of geometric algebra useful in physics, including extensive applications to linear algebra and transformation groups. It contains sufficient material for a course on mathematical topics alone.    The second edition has been expanded by nearly a hundred pages on relativistic mechanics. The treatment is unique in its exclusive use of geometric algebra and in its detailed treatment of spacetime maps. collisions, motion in uniform fields and relativistic precession. It conforms with Einstein's view that the Special Theory of Relativity is the culmination of developments in classical mechanics.

作者简介

作者:(美国)赫斯腾萨

书籍目录

PrefaceChapter
1:
Origins
of
Geometric
Algebra
1-1.Geometry
as
Physics
1-2.Number
and
Magnitude
1-3.Directed
Numbers
1-4.The
Inner
Product
1-5.The
Outer
Product
1-6.Synthesis
and
Simplification
1-7.Axioms
for
Geometric
AlgebraChapter
2:
Developments
in
Geometric
Algebra
2-1.Basic
Identities
and
Definitions
2-2.The
Algebra
of
a
Euclidean
Plane
2-3.The
Algebra
of
Euclidean
3-Space
2-4.Directions,
Projections
and
Angles
2-5.The
Exponential
Function
2-6.Analytic
Geometry
2-7.Functions
of
a
Scalar
Variable
2-8.Directional
Derivatives
and
Line
IntegralsChapter
3:
Mechanics
of
a
Single
Particle
3-1.Newton's
Program
3-2.Constant
Force
3-3.Constant
Force
with
Linear
Drag
3-4.Constant
Force
with
Quadratic
Drag
3-5.Fluid
Resistance
3-6.Constant
Magnetic
Field
3-7.Uniform
Electric
and
Magnetic
Fields
3-8.Linear
Binding
Force
3-9.Forced
Oscillations
3-10.Conservative
Forces
and
ConstraintsChapter
4:
Central
Forces
and
Two-Particle
Systems
4-1.Angular
Momentum
4-2.Dynamics
from
Kinematics
4-3.The
Kepler
Problem
4-4.The
Orbit
in
Time
4-5.Conservative
Central
Forces
4-6.Two-particle
Systems
4-7.Elastic
Collisions
4-8.Scattering
Cross
SectionsChapter
5:
Operators
and
Transformations
5-1.Linear
Operators
and
Matrices
5-2.Symmetric
and
Skewsymmetric
Operators
5-3.The
Arithmetic
of
Reflections
and
Rotations
5-4.Transformation
Groups
5-5.Rigid
Motions
and
Frames
of
Reference
5-6.Motion
in
Rotating
SystemsChapter
6:
Many-Particle
Systems
6-1.General
Properties
of
Many-Particle
Systems
6-2.The
Method
of
Lagrange
6-3.Coupled
Oscillations
and
Waves
6-4.Theory
of
Small
Oscillations
6-5.The
Newtonian
Many
Body
ProblemChapter
7:
Rigid
Body
Mechanics
7-1.Rigid
Body
Modeling
7-2.Rigid
Body
Structure
7-3.The
Symmetrical
Top
7-4.Integrable
Cases
of
Rotational
Motion
7-5.Rolling
Motion
7-6.Impulsive
MotionChapter
8:
Celestial
Mechanics
8-1.Gravitational
Forces,
Fields
and
Torques
8-2.Perturbations
of
Kepler
Motion
8-3.Perturbations
in
the
Solar
System
8-4.Spinor
Mechanics
and
Perturbation
TheoryChapter
9:
Relativistic
Mechanics 9-1.Spacetime
and
Its
Representations 9-2.Spacetime
Maps
and
Measurements 9-3.Relativistic
Particle
Dynamics 9-4.Energy-Momentum
Conservation 9-5.Relativistic
Rigid
Body
MechanicsAppendix A
Spherical
Trigonometry B
Elliptic
Functions C
Units,
Constants
and
DataHints
and
Solutions
for
Selected
ExercisesReferencesIndex

编辑推荐

《经典力学新基础(第2版)(影印版)》由科学出版社出版。

图书封面

图书标签Tags

物理,力学,科学,英语


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用户评论 (总计23条)

 
 

  •     印刷质量还不错,但是有一本封面破了。
  •     作者是大牛级人物。而且其写作水平也是大牛。很多复杂问题被他一介绍,感觉清晰无比。
  •     一口气读完了第一章,讲述几何代数的源起,看情形作者是要使用几何代数作为基本的数学语言来描述经典力学。不错,有继续往下读的念头。
  •     一本经典教材,这套书非常好
  •     好的教材,孩子听过舒幼生的课
  •     漫漫看就能懂,适合非专业力学的学生使用
  •     快递速度也非常快。,非常薄
  •     凑单买的,不过买过来就看到缺页了
  •     必买。,英文原版
  •     内容非常好,书到了
  •     各章设置非常好,才引起注意
  •     稍微有点褶皱和灰尘,不错周日晚定的书
  •     跟我要的完全一样。拿来当课本的,而且附有源程序!
  •     这是一本很不错的书。,这本书不错
  •     都怪自己粗心!书中很多东西都是别人书中的东西!,这本也挺好
  •     可以买来看看。推荐一下。。。,总体感觉不错
  •     感觉还不错,好看
  •     适合专业人士使用。,书写的很好
  •     在边缘上有点小瑕疵。内容还没看。,一次和同学买了4本
  •     还可以吧,14?basic?plus?advanced?
  •     正在看,毕竟是影印版。不错的入门教材
  •     难度较大,很经典
  •     讲的深入浅出!,无以言表!是很好的学习弹塑性、粘弹性计算方法的入门书!
 

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