Hestenes, David 1933
Overview
Works:  19 works in 161 publications in 3 languages and 2,480 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Classifications:  QA805, 531 
Publication Timeline
.
Most widely held works about
David Hestenes
 Invited papers dedicated to David Hestenes on the occasion of his sixtieth birthday, May 21, 1993( Book )
Most widely held works by
David Hestenes
Clifford algebra to geometric calculus : a unified language for mathematics and physics by
David Hestenes(
Book
)
35 editions published between 1984 and 1999 in English and Dutch and held by 551 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 nspace; 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 coordinatefree 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 ndimension spaces and explicit integral formula for the inverse of a transformation; a new approach to Lie groups and Lie algebras. From cover
35 editions published between 1984 and 1999 in English and Dutch and held by 551 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 nspace; 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 coordinatefree 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 ndimension spaces and explicit integral formula for the inverse of a transformation; a new approach to Lie groups and Lie algebras. From cover
New foundations for classical mechanics by
David Hestenes(
Book
)
44 editions published between 1986 and 2002 in English and Undetermined and held by 513 WorldCat member libraries worldwide
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
44 editions published between 1986 and 2002 in English and Undetermined and held by 513 WorldCat member libraries worldwide
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
Spacetime algebra by
David Hestenes(
Book
)
30 editions published between 1966 and 2015 in English and German and held by 348 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 farreaching 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 ?toolkit? for use in physical problems including quantum mechanics, classical mechanics, electromagnetism and relativity (both special and general) ? 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 ?Geometric Algebra?, can be applied in many areas of engineering, robotics and computer science, with no changes necessary ? 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 ?SpaceTime Algebra?, despite its short length, and some of them are effectively still research topics for the future. From the Foreward by Anthony Lasenby
30 editions published between 1966 and 2015 in English and German and held by 348 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 farreaching 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 ?toolkit? for use in physical problems including quantum mechanics, classical mechanics, electromagnetism and relativity (both special and general) ? 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 ?Geometric Algebra?, can be applied in many areas of engineering, robotics and computer science, with no changes necessary ? 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 ?SpaceTime Algebra?, despite its short length, and some of them are effectively still research topics for the future. From the Foreward by Anthony Lasenby
New foundations for classical mechanics by
David Hestenes(
Book
)
22 editions published between 1998 and 2003 in English and held by 198 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
22 editions published between 1998 and 2003 in English and held by 198 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
The Electron : new theory and experiment by
David Hestenes(
Book
)
16 editions published in 1991 in English and Undetermined and held by 162 WorldCat member libraries worldwide
16 editions published in 1991 in English and Undetermined and held by 162 WorldCat member libraries worldwide
Eddy currents in a conducting sphere by John Bergman(
Book
)
1 edition published in 1986 in English and held by 68 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 68 WorldCat member libraries worldwide
Geometric calculus and elementary particles by
David Hestenes(
)
1 edition published in 1963 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1963 in English and held by 3 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
1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide
Views About Sciences Survey: Vass by Ibrahim Halloun(
Book
)
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
The Views About Sciences Survey (vass) is a survey of student views about science for the purpose of assessing the influence of these views on learning. This paper discusses the survey's design, development, results, and implications for science education. The survey assesses student views along seven dimensions with a novel Contrasting Alternatives Design. It was administered in 23 states to about 8,000 high school and college students enrolled in physics, chemistry, and biology courses. Results indicate that students at all levels hold views about knowing and learning science that often diverge from the views of scientists and educators, student views differ according to discipline and across some demographic strata, and student views are hardly affected by traditional science instruction, but they affect what students learn in the course of such instruction. Contains 72 references. (Author)
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
The Views About Sciences Survey (vass) is a survey of student views about science for the purpose of assessing the influence of these views on learning. This paper discusses the survey's design, development, results, and implications for science education. The survey assesses student views along seven dimensions with a novel Contrasting Alternatives Design. It was administered in 23 states to about 8,000 high school and college students enrolled in physics, chemistry, and biology courses. Results indicate that students at all levels hold views about knowing and learning science that often diverge from the views of scientists and educators, student views differ according to discipline and across some demographic strata, and student views are hardly affected by traditional science instruction, but they affect what students learn in the course of such instruction. Contains 72 references. (Author)
Clifford algebra for physicists by
David Hestenes(
Book
)
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
<> by
David Hestenes(
Book
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 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)
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)
Electron : New Theory and Experiment by
Alwyn Van der Merwe(
Book
)
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
Society and education by
David Hestenes(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
SpaceAlgebra by
David Hestenes(
Book
)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
1 edition published in 1966 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 manyparticle system. Therefore, it is not a special feature of quantum theory, and its use is perfectly justified in classical statistical mechanics. (Author)
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 manyparticle system. Therefore, it is not a special feature of quantum theory, and its use is perfectly justified in classical statistical mechanics. (Author)
New Foundations for classical mechanics by
David Hestenes(
)
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
New Foundations for Classical Mechanics by
David Hestenes(
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Sobczyk, Garret 1943
 Weingartshofer, Antonio 1925 Editor
 United States National Aeronautics and Space Administration
 Bergman, John Author
 Electron Workshop. <1990, Antigonish, Nova Scotia>
 Lasenby, Anthony (1954 ) Author of introduction
 ARIZONA STATE UNIV TEMPE Dept. of PHYSICS
 Halloun, Ibrahim Author
 Elkind, Mortimer M.
 Van Der Merwe, Alwyn Author
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Associated Subjects
Algebra Astronomy Calculus Clifford algebras Dirac equation Eddy currents (Electric) Electric currents Electrons Functional analysis Geometry Geometry, Algebraic Geometry, Infinitesimal Global differential geometry Group theory Mathematical physics Mathematics Mechanics Physics Quantum electrodynamics Space and time Space and timeMathematics
Alternative Names
David Hestenes Amerikaans natuurkundige
David Hestenes amerikansk matematikar og fysikar
David Hestenes amerikansk matematiker och fysiker
David Hestenes amerikansk matematiker og fysiker
David Hestenes physicien américain
David Hestenes USamerikanischer Physiker
Hestenes, David
دیوید هستنس فیزیکدان و ریاضیدان آمریکایی
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