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David Hestenes

Index David Hestenes

David Orlin Hestenes, Ph.D. (born May 21, 1933) is a theoretical physicist and science educator. [1]

61 relations: American Association of Physics Teachers, American Physical Society, Arizona State University, Attitude control, Bivector, Boston University, Brain, Calculus, Cauchy's integral theorem, Chris J. L. Doran, Churchill College, Cambridge, Clifford algebra, Cognitive science, Computational geometry, Concept inventory, Conformal geometric algebra, Coordinate-free, Dirac algebra, Dirac equation, Educational research, Emeritus, Erwin Schrödinger, Foundations of Physics, Fulbright Program, Gamma matrices, Gauge theory, Gauge theory gravity, General relativity, Geometric algebra, Geometric calculus, Gravity, Hermann Grassmann, Jet Propulsion Laboratory, John Archibald Wheeler, K–12, Language, Lie group, Magnus Hestenes, Manifold, Marcel Riesz, Mathematics Genealogy Project, NASA, National Science Foundation, Neural network, Oersted Medal, Orbital mechanics, Pacific Lutheran University, Pauli matrices, Peter Richard Killeen, Physics, ..., Principal investigator, Quantum mechanics, Robert Hecht-Nielsen, Science education, Second fundamental form, Spacetime algebra, Spin (physics), Theoretical physics, University of California, Los Angeles, William Kingdon Clifford, Zitterbewegung. Expand index (11 more) »

American Association of Physics Teachers

The American Association of Physics Teachers (AAPT) was founded in 1930 for the purpose of "dissemination of knowledge of physics, particularly by way of teaching." There are more than 10,000 members that reside in over 30 countries.

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American Physical Society

The American Physical Society (APS) is the world's second largest organization of physicists.

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Arizona State University

Arizona State University (commonly referred to as ASU or Arizona State) is a public metropolitan research university on five campuses across the Phoenix metropolitan area, and four regional learning centers throughout Arizona.

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Attitude control

Attitude control is controlling the orientation of an object with respect to an inertial frame of reference or another entity like the celestial sphere, certain fields, and nearby objects, etc.

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Bivector

In mathematics, a bivector or 2-vector is a quantity in exterior algebra or geometric algebra that extends the idea of scalars and vectors.

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Boston University

Boston University (commonly referred to as BU) is a private, non-profit, research university in Boston, Massachusetts.

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Brain

The brain is an organ that serves as the center of the nervous system in all vertebrate and most invertebrate animals.

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Calculus

Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

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Cauchy's integral theorem

In mathematics, the Cauchy integral theorem (also known as the Cauchy–Goursat theorem) in complex analysis, named after Augustin-Louis Cauchy (and Édouard Goursat), is an important statement about line integrals for holomorphic functions in the complex plane.

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Chris J. L. Doran

Chris J. L. Doran is a physicist, Director of Studies in Natural Sciences for Sidney Sussex College, Cambridge.

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Churchill College, Cambridge

Churchill College is a constituent college of the University of Cambridge, England.

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Clifford algebra

In mathematics, a Clifford algebra is an algebra generated by a vector space with a quadratic form, and is a unital associative algebra.

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Cognitive science

Cognitive science is the interdisciplinary, scientific study of the mind and its processes.

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Computational geometry

Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry.

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Concept inventory

A concept inventory is a criterion-referenced test designed to help determine whether a student has an accurate working knowledge of a specific set of concepts.

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Conformal geometric algebra

Conformal geometric algebra (CGA) is the geometric algebra constructed over the resultant space of a projective map from an -dimensional base space into.

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Coordinate-free

A coordinate-free, or component-free, treatment of a scientific theory or mathematical topic develops its concepts on any form of manifold without reference to any particular coordinate system.

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Dirac algebra

In mathematical physics, the Dirac algebra is the Clifford algebra Cℓ4(C), which may be thought of as Cℓ1,3(C).

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Dirac equation

In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928.

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Educational research

Educational research refers to the systematic collection and analysis of data related to the field of education.

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Emeritus

Emeritus, in its current usage, is an adjective used to designate a retired professor, pastor, bishop, pope, director, president, prime minister, or other person.

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Erwin Schrödinger

Erwin Rudolf Josef Alexander Schrödinger (12 August 1887 – 4 January 1961), sometimes written as or, was a Nobel Prize-winning Austrian physicist who developed a number of fundamental results in the field of quantum theory, which formed the basis of wave mechanics: he formulated the wave equation (stationary and time-dependent Schrödinger equation) and revealed the identity of his development of the formalism and matrix mechanics.

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Foundations of Physics

Foundations of Physics is a monthly journal "devoted to the conceptual bases and fundamental theories of modern physics and cosmology, emphasizing the logical, methodological, and philosophical premises of modern physical theories and procedures".

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Fulbright Program

The Fulbright Program, including the Fulbright–Hays Program, is one of several United States Cultural Exchange Programs whose goal is to improve intercultural relations, cultural diplomacy, and intercultural competence between the people of the United States and other countries through the exchange of persons, knowledge, and skills.

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Gamma matrices

In mathematical physics, the gamma matrices, \, also known as the Dirac matrices, are a set of conventional matrices with specific anticommutation relations that ensure they generate a matrix representation of the Clifford algebra Cℓ1,3(R).

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Gauge theory

In physics, a gauge theory is a type of field theory in which the Lagrangian is invariant under certain Lie groups of local transformations.

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Gauge theory gravity

Gauge theory gravity (GTG) is a theory of gravitation cast in the mathematical language of geometric algebra.

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General relativity

General relativity (GR, also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics.

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Geometric algebra

The geometric algebra (GA) of a vector space is an algebra over a field, noted for its multiplication operation called the geometric product on a space of elements called multivectors, which is a superset of both the scalars F and the vector space V. Mathematically, a geometric algebra may be defined as the Clifford algebra of a vector space with a quadratic form.

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Geometric calculus

In mathematics, geometric calculus extends the geometric algebra to include differentiation and integration.

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Gravity

Gravity, or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward (or gravitate toward) one another.

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Hermann Grassmann

Hermann Günther Grassmann (Graßmann; April 15, 1809 – September 26, 1877) was a German polymath, known in his day as a linguist and now also as a mathematician.

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Jet Propulsion Laboratory

The Jet Propulsion Laboratory (JPL) is a federally funded research and development center and NASA field center in Pasadena, California, United States, with large portions of the campus in La Cañada Flintridge, California.

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John Archibald Wheeler

John Archibald Wheeler (July 9, 1911 – April 13, 2008) was an American theoretical physicist.

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K–12

K–12 (spoken as "k twelve", "k through twelve", or "k to twelve"), for kindergarten to 12th grade, indicates the sum of primary and secondary education in several nations, including India, the United States, Canada, Ecuador, South Korea, Turkey, Philippines, Egypt, Australia, Afghanistan, and Iran for publicly supported school grades prior to college.

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Language

Language is a system that consists of the development, acquisition, maintenance and use of complex systems of communication, particularly the human ability to do so; and a language is any specific example of such a system.

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Lie group

In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.

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Magnus Hestenes

Magnus Rudolph Hestenes (February 13, 1906 – May 31, 1991) was an American mathematician.

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Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

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Marcel Riesz

Marcel Riesz (Riesz Marcell; 16 November 1886 – 4 September 1969) was a Hungarian-born mathematician, known for work on summation methods, potential theory, and other parts of analysis, as well as number theory, partial differential equations, and Clifford algebras.

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Mathematics Genealogy Project

The Mathematics Genealogy Project is a web-based database for the academic genealogy of mathematicians.

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NASA

The National Aeronautics and Space Administration (NASA) is an independent agency of the executive branch of the United States federal government responsible for the civilian space program, as well as aeronautics and aerospace research.

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National Science Foundation

The National Science Foundation (NSF) is a United States government agency that supports fundamental research and education in all the non-medical fields of science and engineering.

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Neural network

The term neural network was traditionally used to refer to a network or circuit of neurons.

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Oersted Medal

The Oersted Medal recognizes notable contributions to the teaching of physics.

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Orbital mechanics

Orbital mechanics or astrodynamics is the application of ballistics and celestial mechanics to the practical problems concerning the motion of rockets and other spacecraft.

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Pacific Lutheran University

Pacific Lutheran University (PLU), founded by Norwegian Lutheran pioneers in 1890, is a private university offering liberal arts and professional school programs located in Parkland, a suburb of Tacoma, Washington, United States.

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Pauli matrices

In mathematical physics and mathematics, the Pauli matrices are a set of three complex matrices which are Hermitian and unitary.

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Peter Richard Killeen

Peter Richard Killeen is a researcher who has made major contributions to a number of fields in the behavioral sciences.

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Physics

Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.

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Principal investigator

A principal investigator (PI) is the holder of an independent grant administered by a university and the lead researcher for the grant project, usually in the sciences, such as a laboratory study or a clinical trial.

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Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

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Robert Hecht-Nielsen

Robert Hecht-Nielsen (born 1947) is an adjunct professor of electrical and computer engineering at the University of California, San Diego.

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Science education

Science education is the field concerned with sharing science content and process with individuals not traditionally considered part of the scientific community.

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Second fundamental form

In differential geometry, the second fundamental form (or shape tensor) is a quadratic form on the tangent plane of a smooth surface in the three-dimensional Euclidean space, usually denoted by \mathrm (read "two").

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Spacetime algebra

In mathematical physics, spacetime algebra (STA) is a name for the Clifford algebra Cl1,3(R), or equivalently the geometric algebra, which can be particularly closely associated with the geometry of special relativity and relativistic spacetime.

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Spin (physics)

In quantum mechanics and particle physics, spin is an intrinsic form of angular momentum carried by elementary particles, composite particles (hadrons), and atomic nuclei.

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Theoretical physics

Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena.

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University of California, Los Angeles

The University of California, Los Angeles (UCLA) is a public research university in the Westwood district of Los Angeles, United States.

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William Kingdon Clifford

William Kingdon Clifford FRS (4 May 1845 – 3 March 1879) was an English mathematician and philosopher.

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Zitterbewegung

Zitterbewegung ("trembling motion" in German) is a hypothetical rapid motion of elementary particles, in particular electrons, that obey the Dirac equation.

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References

[1] https://en.wikipedia.org/wiki/David_Hestenes

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