经典力学新基础-(影印版)(第二版) 本书特色

This b00k orovides an introdUCtion to eeometric al eebra as anunified language for physics and mathematics. It containes extensiveapplications to classical mechanics in a textbook format suitablefor courses at an intermediate level. The text is supported by morethan 200 diagrams to help develop geometrical and physical intuition.Besides covering the standard material for a course on the mechanicsof particles and rigid bodies, the book introduces new, coordinate-free methods for rotational dynamics and orbital mechanics,developing these subjects to a level well beyond that of othertextbooks. These methods have been widely applied in recent yearsto biomechanics and robotics, to computer vision and geometricdesign, to orbital mechanics in governmental and industrial spaceprograms, as well as to other branches of physics. The book appliesthem to the major perturbations in the solar system, including theplanetary perturbations of Mercury's perihelion. Geometric algebra integrates conventional vector algebra (alongwith its established notations) into a system with all the advantagesof quaternions and spinors. Thus, it increases the power of themathematical language of classical mechanics while bringing itcloser to the language of quantum mechanics. This booksystematically develops purely mathematical applications ofgeometric algebra useful in physics, including extensive applicationsto linear algebra and transformation groups. It contains sufficientmaterial for a course on mathematical topics alone. The second edition has been expanded by nearly a hundredpages on relativistic mechanics. The treatment is unique in itsexclusive use of geometric algebra and in its detailed treatment ofspacetime maps, collisions, motion in uniform fields and relativisticprecession. It conforms with Einstein's view that the Special Theoryof Relativity is the culmination of developments in classicalmechanics