New Foundations for Classical Mechanics PDF Download
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Author: D. Hestenes
Publisher: Springer Science & Business Media
ISBN: 9400948026
Category : Science
Languages : en
Pages : 655
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Book Description
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 applica tions 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: D. Hestenes
Publisher: Springer Science & Business Media
ISBN: 9400948026
Category : Science
Languages : en
Pages : 655
Get Book Here
Book Description
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 applica tions 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: John Dirk Walecka
Publisher: World Scientific
ISBN: 9811217459
Category : Science
Languages : en
Pages : 184
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Book Description
This textbook aims to provide a clear and concise set of lectures that take one from the introduction and application of Newton's laws up to Hamilton's principle of stationary action and the lagrangian mechanics of continuous systems. An extensive set of accessible problems enhances and extends the coverage.It serves as a prequel to the author's recently published book entitled Introduction to Electricity and Magnetism based on an introductory course taught sometime ago at Stanford with over 400 students enrolled. Both lectures assume a good, concurrent, course in calculus and familiarity with basic concepts in physics; the development is otherwise self-contained.A good introduction to the subject allows one to approach the many more intermediate and advanced texts with better understanding and a deeper sense of appreciation that both students and teachers alike can share.
Author: John W. Nystrom
Publisher: BoD – Books on Demand
ISBN: 3368723448
Category : Fiction
Languages : en
Pages : 190
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Book Description
Reprint of the original, first published in 1876.
Author: John William Nystrom
Publisher:
ISBN:
Category : Mechanics
Languages : en
Pages : 364
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Book Description
Author: Porter & Coates, Philadelphia
Publisher:
ISBN:
Category : Mechanics
Languages : en
Pages : 4
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Book Description
Author: John William Nystrom
Publisher:
ISBN:
Category : Steam engineering
Languages : en
Pages : 196
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Book Description
Author: Lánczos Kornél
Publisher:
ISBN:
Category :
Languages : en
Pages : 307
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Book Description
Author: B. Lautrup
Publisher: CRC Press
ISBN: 1420077007
Category : Science
Languages : en
Pages : 698
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Book Description
Physics of Continuous Matter: Exotic and Everyday Phenomena in the Macroscopic World, Second Edition provides an introduction to the basic ideas of continuum physics and their application to a wealth of macroscopic phenomena. The text focuses on the many approximate methods that offer insight into the rich physics hidden in fundamental continuum mechanics equations. Like its acclaimed predecessor, this second edition introduces mathematical tools on a "need-to-know" basis. New to the Second Edition This edition includes three new chapters on elasticity of slender rods, energy, and entropy. It also offers more margin drawings and photographs and improved images of simulations. Along with reorganizing much of the material, the author has revised many of the physics arguments and mathematical presentations to improve clarity and consistency. The collection of problems at the end of each chapter has been expanded as well. These problems further develop the physical and mathematical concepts presented. With worked examples throughout, this book clearly illustrates both qualitative and quantitative physics reasoning. It emphasizes the importance in understanding the physical principles behind equations and the conditions underlying approximations. A companion website provides a host of ancillary materials, including software programs, color figures, and additional problems.
Author: Thomas F. Jordan
Publisher: Courier Corporation
ISBN: 0486137066
Category : Science
Languages : en
Pages : 274
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Book Description
With this text, basic quantum mechanics becomes accessible to undergraduates with no background in mathematics beyond algebra. Includes more than 100 problems and 38 figures. 1986 edition.
Author: Olinthus Gregory
Publisher:
ISBN:
Category :
Languages : en
Pages : 254
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Book Description
