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Fundamental Theories of Physics Ser.: New Foundations for Classical Mechanics by David Hestenes (1999, Trade Paperback)
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About this product
Product Identifiers
PublisherSpringer Netherlands
ISBN-100792355148
ISBN-139780792355144
eBay Product ID (ePID)1025683
Product Key Features
Number of PagesXiv, 706 Pages
LanguageEnglish
Publication NameNew Foundations for Classical Mechanics
Publication Year1999
SubjectMechanics / General, Geometry / Algebraic, Astronomy
FeaturesRevised
TypeTextbook
AuthorDavid Hestenes
Subject AreaMathematics, Science
SeriesFundamental Theories of Physics Ser.
FormatTrade Paperback
Dimensions
Item Weight38.5 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Edition Number2
Intended AudienceScholarly & Professional
Dewey Edition19
Series Volume Number99
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal531
Edition DescriptionRevised edition
Table Of ContentOrigins of Geometric Algebra.- Developments in Geometric Algebra.- Mechanics of a Single Particle.- Central Forces and Two-Particle Systems.- Operators and Transformations.- Many-Particle Systems.- Rigid Body Mechanics.- Celestical Mechanics.- Relativistic Mechanics.
Synopsis(revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applications matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.
LC Classification NumberQC120-168.85
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