WorldCat Identities

Hestenes, David 1933-

Overview
Works: 12 works in 142 publications in 3 languages and 2,525 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor
Classifications: QA805, 531
Publication Timeline
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Most widely held works by David Hestenes
New foundations for classical mechanics by David Hestenes( Book )

63 editions published between 1986 and 2009 in English and Undetermined and held by 700 WorldCat member libraries worldwide

"This book provides an introduction to geometric algebra as a unified language for physics and mathematics. It containes extensive applications to classical mechanics in a textbook format suitable for courses at an intermediate level. The text is supported by more than 200 diagrams to help develop geometrical and physical intuition. Besides covering the standard material for a course on the mechanics of particles and rigid bodies, the book introduces new, coordinate free methods for rotational dynamics and orbital mechanics, developing these subjects to a level well beyond that of other textbooks."--Jacket
Clifford algebra to geometric calculus : a unified language for mathematics and physics by David Hestenes( Book )

31 editions published between 1984 and 1999 in English and Dutch and held by 540 WorldCat member libraries worldwide

Geometric Calculus is a language for expressing and analyzing the full range of geometric concepts in mathematics. Clifford Algebra provides the grammar. Complex number, quaternions, matrix algebra, vector, tensor and spinor calculus and differential forms are integrated into a single comprehensive system. The geometric calculus developed in this book has the following features: a systematic development of definitions, concepts and theorems needed to apply the calculus easily and effectively to almost any branch of mathematics or physics; a formulation of linear algebra capable of details computations without matrices or coordinates; new proofs and treatments of canonical forms including an extensive discussion of spinor representations of rotations in Euclidean n-space; a new concept of differentiation which makes it possible to formulate calculus on manifolds and carry out complete calculations of such thinks as the Jacobian of a transformation without resorting to coordinates; a coordinate-free approach to differential geometry featuring a new quantity, the shape tensor, from which the curvature tensor can be computed without a connection; a formulation of integration theory based on a concept of directed measure, with new results including a generalization of Cauchy's integral formula to n-dimension spaces and explicit integral formula for the inverse of a transformation; a new approach to Lie groups and Lie algebras. --From cover
Space-time algebra by David Hestenes( Book )

26 editions published between 1966 and 2015 in English and German and held by 337 WorldCat member libraries worldwide

This small book started a profound revolution in the development of mathematical physics, one which has reached many working physicists already, and which stands poised to bring about far-reaching change in the future. At its heart is the use of Clifford algebra to unify otherwise disparate mathematical languages, particularly those of spinors, quaternions, tensors and differential forms. It provides a unified approach covering all these areas and thus leads to a very efficient {u2018}toolkit{u2019} for use in physical problems including quantum mechanics, classical mechanics, electromagnetism and relativity (both special and general) {u2013} only one mathematical system needs to be learned and understood, and one can use it at levels which extend right through to current research topics in each of these areas. These same techniques, in the form of the {u2018}Geometric Algebra{u2019}, can be applied in many areas of engineering, robotics and computer science, with no changes necessary {u2013} it is the same underlying mathematics, and enables physicists to understand topics in engineering, and engineers to understand topics in physics (including aspects in frontier areas), in a way which no other single mathematical system could hope to make possible. There is another aspect to Geometric Algebra, which is less tangible, and goes beyond questions of mathematical power and range. This is the remarkable insight it gives to physical problems, and the way it constantly suggests new features of the physics itself, not just the mathematics. Examples of this are peppered throughout {u2018}Space-Time Algebra{u2019}, despite its short length, and some of them are effectively still research topics for the future. From the Foreward by Anthony Lasenby
The Electron : new theory and experiment by David Hestenes( Book )

13 editions published in 1991 in English and held by 158 WorldCat member libraries worldwide

Eddy currents in a conducting sphere by John Bergman( Book )

1 edition published in 1986 in English and held by 65 WorldCat member libraries worldwide

The electron : new theory and experiment : 1st Workshop : Papers( Book )

1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide

New foundations for classical mechanics (2nd edition) = Jing dian li xue xin ji chu (di 2 ban) by David Hestenes( Book )

1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide

New Foundations for classical mechanics by David Hestenes( )

1 edition published in 1986 in English and held by 1 WorldCat member library worldwide

ENTROPY AND INDISTINGUISHABILITY( Book )

1 edition published in 1969 in English and held by 1 WorldCat member library worldwide

It is argued that the principle of indistinguishability of identical particles is a necessary condition for consistency between experimental and statistical descriptions of a many-particle system. Therefore, it is not a special feature of quantum theory, and its use is perfectly justified in classical statistical mechanics. (Author)
Clifford algebra for physicists by David Hestenes( Book )

1 edition published in 1980 in English and held by 1 WorldCat member library worldwide

Heuristics of electrodynamic quantum theory( Book )

1 edition published in 1969 in English and held by 1 WorldCat member library worldwide

A new, physical interpretation of de Broglie waves is suggested. It is assumed that every elementary charged particle is the source, not only of a coulomb field, but also of a monochromatic radiation field with frequency determined by the de Broglie relation. On the basis of this single assumption, and with appeal only to general properties of electromagnetic fields, qualitative explanations are given for all the main features of quantum theory. (Author)
 
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Clifford algebra to geometric calculus : a unified language for mathematics and physics
Alternative Names
David Hestenes amerikansk matematikar og fysikar

David Hestenes amerikansk matematiker och fysiker

David Hestenes amerikansk matematiker og fysiker

David Hestenes physicien amricain

David Hestenes US-amerikanischer Physiker

Hestenes, David

دیوید هستنس فیزیک‌دان و ریاضی‌دان آمریکایی

Languages
English (137)

German (1)

Dutch (1)

Covers
Clifford algebra to geometric calculus : a unified language for mathematics and physicsThe Electron : new theory and experimentThe electron : new theory and experiment : 1st Workshop : PapersNew Foundations for classical mechanics