New Foundations for Classical Mechanics: Fundamental Theories of Physics

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9780792355144: New Foundations for Classical Mechanics: Fundamental Theories of Physics

(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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L'autore:

David Hesteness is awarded the Oersted Medal for 2002.
The Oersted Award recognizes notable contributions to the teaching of physics. It is the most prestigious award conferred by the American Association of Physics Teachers.

Contenuti:

Preface. 1. Origins of Geometric Algebra. 2. Developments in Geometric Algebra. 3. Mechanics of a Single Particle. 4. Central Forces and Two-Particle Systems. 5. Operators and Transformations. 6. Many-Particle Systems. 7. Rigid Body Mechanics. 8. Celestial Mechanics. 9. Relativistic Mechanics. Appendix. Hints and Solutions for Selected Exercises. References. Index.

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Hestenes, David
ISBN 10: 0792355148 ISBN 13: 9780792355144
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Editore: Kluwer Academic Publishers 1999-09-30 (1999)
ISBN 10: 0792355148 ISBN 13: 9780792355144
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Descrizione libro Kluwer Academic Publishers 1999-09-30, 1999. paperback. Condizione libro: New. Codice libro della libreria 9780792355144

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David Hestenes
Editore: Kluwer Academic Publishers, United States (1999)
ISBN 10: 0792355148 ISBN 13: 9780792355144
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Descrizione libro Kluwer Academic Publishers, United States, 1999. Paperback. Condizione libro: New. 2nd ed. 1999. 229 x 155 mm. Language: English . Brand New Book. (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. Codice libro della libreria AAZ9780792355144

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David Hestenes
Editore: Kluwer Academic Publishers, United States (1999)
ISBN 10: 0792355148 ISBN 13: 9780792355144
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Descrizione libro Kluwer Academic Publishers, United States, 1999. Paperback. Condizione libro: New. 2nd ed. 1999. 229 x 155 mm. Language: English . Brand New Book. (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. Codice libro della libreria AAZ9780792355144

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ISBN 10: 0792355148 ISBN 13: 9780792355144
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Descrizione libro Kluwer Academic Publishers. Paperback. Condizione libro: new. BRAND NEW, New Foundations for Classical Mechanics (2nd ed. 1999), David Hestenes, (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. Codice libro della libreria B9780792355144

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Hestenes, David
Editore: Springer (1999)
ISBN 10: 0792355148 ISBN 13: 9780792355144
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Descrizione libro Springer, 1999. Condizione libro: New. Provides an introduction to geometric algebra as a unified language for physics and mathematics. This book contains applications to classical mechanics in a textbook format suitable for courses at an intermediate level. It introduces coordinate-free methods for rotational dynamics and orbital mechanics. Series: Fundamental Theories of Physics. Num Pages: 706 pages, biography. BIC Classification: PHD. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 232 x 163 x 38. Weight in Grams: 1012. . 1999. 2nd. Paperback. . . . . . Codice libro della libreria V9780792355144

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Descrizione libro Condizione libro: New. Bookseller Inventory # ST0792355148. Codice libro della libreria ST0792355148

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Descrizione libro Kluwer Academic Publishers, 1999. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780792355144

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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97807923551440000000

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Descrizione libro Paperback. Condizione libro: New. Not Signed; (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. book. Codice libro della libreria ria9780792355144_rkm

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