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Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics (Fundamental Theories of Physics) Paperback – August 31, 1987

ISBN-13: 978-9027725615 ISBN-10: 9027725616 Edition: Softcover reprint of the original 1st ed. 1984

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Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics (Fundamental Theories of Physics) + New Foundations for Classical Mechanics (Fundamental Theories of Physics) + Geometric Algebra for Physicists
Price for all three: $292.49

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Product Details

  • Series: Fundamental Theories of Physics (Book 5)
  • Paperback: 314 pages
  • Publisher: Springer; Softcover reprint of the original 1st ed. 1984 edition (August 31, 1987)
  • Language: English
  • ISBN-10: 9027725616
  • ISBN-13: 978-9027725615
  • Product Dimensions: 6.1 x 0.8 x 9.2 inches
  • Shipping Weight: 1.2 pounds (View shipping rates and policies)
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #424,292 in Books (See Top 100 in Books)

Editorial Reviews

Review

`... future authors will owe a great debt to Professors Hestenes and Sobczyk for this pioneering work.' Foundations of Physics, 16, 1986
`I repeat that GC enriches and simplifies everything it touches, not just on an advanced level but also, and perhaps even more so, on an elementary level. I am convinced that GC should be taught to undergraduate in place of the traditional approaches to vector algebra and analysis.' James S. Marsh in American Journal of Physics
`If the physics community seizes the opportunity represented by this book, and I hope it does, this book will become the handbook and the bible of GC.' American Journal of Physics, 53:5 (1985)

About the Author

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.

Customer Reviews

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Most Helpful Customer Reviews

80 of 81 people found the following review helpful By Ananda Himansu on January 6, 2003
Format: Paperback
In 1990, I came across Hestenes' book New Foundations for Classical Mechanics in a university bookstore, and immediately purchased it. In 1999, I finally purchased the paperback version of CA to GC (Kluwer, please keep the paperback in print!). An engineer by training, I was previously only familiar with college vector analysis and with indicial tensor notation. These two books revolutionized my understanding of the algebraic representation of geometric information. Amazon.com now has the "look inside" feature in place for this book, so you can check the table of contents.
Science proceeds both by discovery and by a process of recasting what has been learned in simpler and clearer form. It is the fruits of this latter process that are presented in CA to GC, though some new mathematical results are also introduced. The authors have succeeded admirably in recasting large areas of intermediate to advanced mathematics in a powerful unified algebraic language of exceptional clarity. The authors show how the traditional languages of complex numbers, quaternions, matrices, vectors, tensors, spinors and differential forms are all subsumed by the elegant language of Clifford algebra, and their calculi by Clifford analysis. Quite apart from the pleasure that the clarity of Clifford algebra/analysis affords, its value also lies in making it easier to understand what has already been discovered, and thus extending the mathematical grasp of the human mind. I have often seen the terms "breakthrough" and "groundbreaking" applied to paltry advances in science, mostly by the innovators themselves, but surely Clifford algebra/analysis is deserving of such an appellation. It has been long in gestation, but its time has come.
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2 of 2 people found the following review helpful By Gregory Grunberg on January 8, 2014
Format: Paperback
First a rant: What has happened to the once high art of bookbinding? I have hardcover books, with sewn-in signatures, that have stood up well to decades of extensive use. Some softcover books, particularly the older ones from Dover Publications, have also stood up well. But virtually the entire publishing industry seems to have given up on the idea of making well-constructed books for reasonable prices. "Clifford Algebra to Geometric Calculus", with its poorly glued spine and paper cover, is my outstanding example of the _worst_ of this trend. Even though I handle my books with reasonable care, my not-inexpensive softcover of "Clifford Algebra to Geometric Calculus" started to fall apart almost immediately, before I even made it halfway through Chapter 1. I would have purchased the hardcover version with a "library binding", but the extra expense (more than $150) was so extravagant as to be beyond my means. Another complaint is that the printing seems to be somewhat fuzzy. This is an important book which I want in my personal library, so I'll buy another copy should publication rights ever go to Dover. But in the meantime, __0 stars__ for the physical construction and printing of the softcover edition.

I believe I've seen most, if not all, of the limited number of books on geometric algebra and its calculus, and this book (the first) remains the most comprehensive, but not the most comprehensible. A tremendous amount of insightful thinking went into this book, and a diligent and thoughtful reader will learn a lot. But the book cannot be considered the place to begin one's study of geometric algebra. Understanding what Hestenes and Sobczyk are saying and trying to see its significance is maddening.
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9 of 16 people found the following review helpful By Omar Leon Sanchez on September 23, 2005
Format: Paperback Verified Purchase
i have been working a few years in geometric calculus and i believe this book should be in every house of every geometrist and every person that is intersted in geometric concepts with physics applications
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