New Foundations for Classical Mechanics
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"New Foundations for Classical Mechanics" by David Hestenes is a astronomy book and space science reference focused on Dynamics. Best for students, researchers, and serious astronomy enthusiasts.
(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.
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"New Foundations for Classical Mechanics" by David Hestenes is a astronomy book and space science reference focused on Dynamics. Best for students, researchers, and serious astronomy enthusiasts.
Topic: Dynamics
Author: David Hestenes
Who this is for:
- Astronomy students
- Researchers and advanced hobbyists
- Readers exploring space science topics
Why this book matters: It matters because it helps readers build a stronger understanding of astronomy concepts, observations, and scientific ideas related to space.
(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.
| Author | David Hestenes |
| Publisher | Springer |
| Published | 1999-09-30 |
| ISBN-13 | 9780792353027 |
| Binding | Hardcover |
| Pages | 706 |
| Language | English |
| Subjects | Science |
| Topic | Dynamics |
| Series | Fundamental Theories of Physics |
Format: Hardcover
Length: 706 pages
Language: English
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