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Applied Geometric Algebra
OCW Master Course Number
RES.8-001
Spring 2009
OCW_LOMv1.0
Author
Tisza, László
2020-12-27
OCW Course Topics
Mathematics
Algebra and Number Theory
OCW Course Topics
Mathematics
Applied Mathematics
OCW Course Topics
Mathematics
Linear Algebra
OCW Course Topics
Mathematics
Topology and Geometry
contents/index.htm.xml
Applied Geometric Algebra
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Applied Geometric Algebra
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res-8-001s09.jpg
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res-8-001s09-th.jpg
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Lecture Notes
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Applied Geometric Algebra Text
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Ch4.pdf
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Ch3.pdf
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ref.pdf
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preface.pdf
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Ch2.pdf
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chA.pdf
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toc.pdf
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chB.pdf
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Ch5.pdf
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introduction.pdf
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Other Publications
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APS_article.pdf
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Legal Notices
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Privacy Statement
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Trademark Notices
contents/index.htm.xml
contents/res-8-001s09.jpg.xml
contents/lecture-notes-contents/Ch2.pdf.xml
contents/lecture-notes-contents/introduction.pdf.xml
contents/lecture-notes-contents/preface.pdf.xml
contents/lecture-notes-contents/MITRES_8_001_lec_complete.pdf.xml
contents/lecture-notes-contents/chB.pdf.xml
contents/lecture-notes-contents/ref.pdf.xml
contents/lecture-notes-contents/toc.pdf.xml
contents/other-publications/APS_article.pdf.xml
contents/lecture-notes-contents/index.htm.xml
contents/lecture-notes-contents/chA.pdf.xml
contents/other-publications/index.htm.xml
contents/lecture-notes-contents/Ch4.pdf.xml
contents/lecture-notes-contents/Ch3.pdf.xml
contents/lecture-notes-contents/Ch5.pdf.xml
contents/res-8-001s09-th.jpg.xml
PK Q~3! res-8-001-spring-2009/ReadMe.txtThis zip package contains the HTML pages and files associated with the course.
Some materials - such as videos, java applets, and other special content - are not posted on the OCW server, and are therefore not part of this package. This prevents zip packages from becoming too large for download. To download these resources to your computer, please read the FAQ at https://ocw.mit.edu/help/faq-technology/ .
Use of the materials in this package are governed by the same Creative Commons license as all other materials published on MIT OpenCourseWare. For more information, see https://ocw.mit.edu/terms .
If you have any trouble using this package, please contact us at ocw@mit.edu .PK Q%aD6 6 res-8-001-spring-2009/START.htm
MIT OpenCourseWare | Welcome
Welcome to MIT Open Course Ware. You will be automatically redirected to Home. If you aren not forwarded to the new page, Click here to access the home page of the downloaded Click Here
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This site (c) Massachusetts Institute of Technology 2020. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license") unless otherwise noted. The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions.
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OCW Master Course Number
RES.8-001 Applied Geometric Algebra Spring 2009
László Tisza was Professor of Physics Emeritus at MIT, where he began teaching in 1941. This online publication is a reproduction the original lecture notes for the course "Applied Geometric Algebra" taught by Professor Tisza in the Spring of 1976. Over the last 100 years, the mathematical tools employed by physicists have expanded considerably, from differential calculus, vector algebra and geometry, to advanced linear algebra, tensors, Hilbert space, spinors, Group theory and many others. These sophisticated tools provide powerful machinery for describing the physical world, however, their physical interpretation is often not intuitive. These course notes represent Prof. Tisza's attempt at bringing conceptual clarity and unity to the application and interpretation of these advanced mathematical tools. In particular, there is an emphasis on the unifying role that Group theory plays in classical, relativistic, and quantum physics. Prof. Tisza revisits many elementary problems with an advanced treatment in order to help develop the geometrical intuition for the algebraic machinery that may carry over to more advanced problems. The lecture notes came to MIT OpenCourseWare by way of Samuel Gasster, '77 (Course 18), who had taken the course and kept a copy of the lecture notes for his own reference. He dedicated dozens of hours of his own time to convert the typewritten notes into LaTeX files and then publication-ready PDFs. You can read about his motivation for wanting to see these notes published in his Preface. Professor Tisza kindly gave his permission to make these notes available on MIT OpenCourseWare.
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