Geometric Algebra with Applications in Science and Engineering:
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2001
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineering using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more than a quarter of a century before. Whereas the algebras of Clifford and Grassmann are well known in advanced mathematics and physics, they have never made an impact in elementary textbooks where the vector algebra of Gibbs-Heaviside still predominates. The approach to Clifford algebra adopted in most of the articles here was pioneered in the 1960s by David Hestenes. Later, together with Garret Sobczyk, he developed it into a unified language for mathematics and physics. Sobczyk first learned about the power of geometric algebra in classes in electrodynamics and relativity taught by Hestenes at Arizona State University from 1966 to 1967. He still vividly remembers a feeling of disbelief that the fundamental geometric product of vectors could have been left out of his undergraduate mathematics education. Geometric algebra provides a rich, general mathematical framework for the development of multilinear algebra, projective and affine geometry, calculus on a manifold, the representation of Lie groups and Lie algebras, the use of the horosphere and many other areas. This book is addressed to a broad audience of applied mathematicians, physicists, computer scientists, and engineers |
| Beschreibung: | 1 Online-Ressource (XXVI, 592 p) |
| ISBN: | 9781461201595 9781461266396 |
| DOI: | 10.1007/978-1-4612-0159-5 |
Internformat
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| 500 | |a The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineering using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more than a quarter of a century before. Whereas the algebras of Clifford and Grassmann are well known in advanced mathematics and physics, they have never made an impact in elementary textbooks where the vector algebra of Gibbs-Heaviside still predominates. The approach to Clifford algebra adopted in most of the articles here was pioneered in the 1960s by David Hestenes. Later, together with Garret Sobczyk, he developed it into a unified language for mathematics and physics. Sobczyk first learned about the power of geometric algebra in classes in electrodynamics and relativity taught by Hestenes at Arizona State University from 1966 to 1967. He still vividly remembers a feeling of disbelief that the fundamental geometric product of vectors could have been left out of his undergraduate mathematics education. Geometric algebra provides a rich, general mathematical framework for the development of multilinear algebra, projective and affine geometry, calculus on a manifold, the representation of Lie groups and Lie algebras, the use of the horosphere and many other areas. This book is addressed to a broad audience of applied mathematicians, physicists, computer scientists, and engineers | ||
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Datensatz im Suchindex
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| dewey-full | 519 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0159-5 |
| format | Electronic eBook |
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| id | DE-604.BV042419459 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781461201595 9781461266396 |
| language | English |
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| spelling | Geometric Algebra with Applications in Science and Engineering edited by Eduardo Bayro Corrochano, Garret Sobczyk Boston, MA Birkhäuser Boston 2001 1 Online-Ressource (XXVI, 592 p) txt rdacontent c rdamedia cr rdacarrier The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineering using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more than a quarter of a century before. Whereas the algebras of Clifford and Grassmann are well known in advanced mathematics and physics, they have never made an impact in elementary textbooks where the vector algebra of Gibbs-Heaviside still predominates. The approach to Clifford algebra adopted in most of the articles here was pioneered in the 1960s by David Hestenes. Later, together with Garret Sobczyk, he developed it into a unified language for mathematics and physics. Sobczyk first learned about the power of geometric algebra in classes in electrodynamics and relativity taught by Hestenes at Arizona State University from 1966 to 1967. He still vividly remembers a feeling of disbelief that the fundamental geometric product of vectors could have been left out of his undergraduate mathematics education. Geometric algebra provides a rich, general mathematical framework for the development of multilinear algebra, projective and affine geometry, calculus on a manifold, the representation of Lie groups and Lie algebras, the use of the horosphere and many other areas. This book is addressed to a broad audience of applied mathematicians, physicists, computer scientists, and engineers Mathematics Computer science Algebra Engineering mathematics Engineering Applications of Mathematics Mathematics of Computing Appl.Mathematics/Computational Methods of Engineering Computational Intelligence Control, Robotics, Mechatronics Informatik Ingenieurwissenschaften Mathematik Geometrische Algebra (DE-588)4156707-9 gnd rswk-swf Geometrische Algebra (DE-588)4156707-9 s 1\p DE-604 Bayro Corrochano, Eduardo Jose (DE-588)1089298544 edt Sobczyk, Garret 1943- (DE-588)1042402019 edt https://doi.org/10.1007/978-1-4612-0159-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Geometric Algebra with Applications in Science and Engineering Mathematics Computer science Algebra Engineering mathematics Engineering Applications of Mathematics Mathematics of Computing Appl.Mathematics/Computational Methods of Engineering Computational Intelligence Control, Robotics, Mechatronics Informatik Ingenieurwissenschaften Mathematik Geometrische Algebra (DE-588)4156707-9 gnd |
| subject_GND | (DE-588)4156707-9 |
| title | Geometric Algebra with Applications in Science and Engineering |
| title_auth | Geometric Algebra with Applications in Science and Engineering |
| title_exact_search | Geometric Algebra with Applications in Science and Engineering |
| title_full | Geometric Algebra with Applications in Science and Engineering edited by Eduardo Bayro Corrochano, Garret Sobczyk |
| title_fullStr | Geometric Algebra with Applications in Science and Engineering edited by Eduardo Bayro Corrochano, Garret Sobczyk |
| title_full_unstemmed | Geometric Algebra with Applications in Science and Engineering edited by Eduardo Bayro Corrochano, Garret Sobczyk |
| title_short | Geometric Algebra with Applications in Science and Engineering |
| title_sort | geometric algebra with applications in science and engineering |
| topic | Mathematics Computer science Algebra Engineering mathematics Engineering Applications of Mathematics Mathematics of Computing Appl.Mathematics/Computational Methods of Engineering Computational Intelligence Control, Robotics, Mechatronics Informatik Ingenieurwissenschaften Mathematik Geometrische Algebra (DE-588)4156707-9 gnd |
| topic_facet | Mathematics Computer science Algebra Engineering mathematics Engineering Applications of Mathematics Mathematics of Computing Appl.Mathematics/Computational Methods of Engineering Computational Intelligence Control, Robotics, Mechatronics Informatik Ingenieurwissenschaften Mathematik Geometrische Algebra |
| url | https://doi.org/10.1007/978-1-4612-0159-5 |
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