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Books on the topic 'Geometric algebra for conics'

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Published: 28 June 2021

Last updated: 3 February 2022

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1

Artin, E. Geometric Algebra. Hoboken, NJ, USA: John Wiley & Sons, Inc., 1988. http://dx.doi.org/10.1002/9781118164518.

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2

Bayro-Corrochano, Eduardo, and Gerik Scheuermann, eds. Geometric Algebra Computing. London: Springer London, 2010. http://dx.doi.org/10.1007/978-1-84996-108-0.

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3

Kondrat'ev, Gennadiy. Clifford Geometric Algebra. ru: INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1832489.

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Abstract:

The monograph is devoted to the fundamental aspects of geometric algebra and closely related issues. The category of Clifford algebras is considered as the conjugate category of vector spaces with a quadratic form. Possible constructions in this category and internal algebraic operations of an algebra with a geometric interpretation are studied. An application to the differential geometry of a Euclidean manifold based on a shape tensor is included. We consider products, coproducts and tensor products in the category of associative algebras with application to the decomposition of Clifford algebras into simple components. Spinors are introduced. Methods of matrix representation of the Clifford algebra are studied. It may be of interest to students, postgraduates and specialists in the field of mathematics, physics and cybernetics.

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4

1960-, Zaslavskiĭ A. A., ed. Geometry of conics. Providence, R.I: American Mathematical Society, 2007.

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5

Li, Hongbo, Peter J. Olver, and Gerald Sommer, eds. Computer Algebra and Geometric Algebra with Applications. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/b137294.

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6

Shifrin, Theodore. Abstract algebra: A geometric approach. Englewood Cliffs, N.J: Prentice Hall, 1996.

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7

Geometric algebra for computer graphics. London: Springer, 2008.

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8

Hildenbrand, Dietmar. Foundations of Geometric Algebra Computing. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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9

Linear algebra: A geometric approach. London: Chapman & Hall, 1993.

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10

Fontijne, D. H. F. Efficient implementation of geometric algebra. [S.l: s.n.], 2007.

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11

John, Vince. Geometric algebra for computer graphics. London: Springer, 2008.

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12

Grove, Larry C. Classical groups and geometric algebra. Providence, R.I: American Mathematical Society, 2002.

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13

Hildenbrand, Dietmar. Foundations of Geometric Algebra Computing. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-31794-1.

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14

Vince, John. Geometric Algebra for Computer Graphics. London: Springer London, 2008. http://dx.doi.org/10.1007/978-1-84628-997-2.

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15

Bayro-Corrochano, Eduardo. Geometric Algebra Applications Vol. II. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-34978-3.

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16

Bayro-Corrochano, Eduardo. Geometric Algebra Applications Vol. I. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-319-74830-6.

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17

Ritchie, Adams Malcolm, ed. Linear algebra: A geometric approach. New York: W.H. Freeman, 2002.

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18

Shifrin, Theodore. Linear algebra: A geometric approach. 2nd ed. New York: W.H. Freeman, 2011.

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19

Perwass, Christian. Geometric algebra with applications in engineering. Berlin: Springer, 2009.

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20

Dorst, Leo, and J. Lasenby. Guide to geometric algebra in practice. London: Springer, 2011.

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21

Guide to geometric algebra in practice. London: Springer, 2011.

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22

Understanding geometric algebra for electromagnetic theory. Hoboken, N.J: Wiley-IEEE Press, 2011.

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23

Arthur, John W. Understanding Geometric Algebra for Electromagnetic Theory. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2011. http://dx.doi.org/10.1002/9781118078549.

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24

Dorst, Leo, and Joan Lasenby, eds. Guide to Geometric Algebra in Practice. London: Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-811-9.

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25

Kumar, Datta Bidyut, ed. Geometric algebra and applications to physics. New York: Taylor & Francis, 2007.

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26

Calvet, Ramon Gonza lez. Treatise of plane geometry through geometric algebra. [S.l.]: [s.n.], 2000.

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27

Seagar, Andrew. Application of Geometric Algebra to Electromagnetic Scattering. Singapore: Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-0089-8.

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28

Bogomolov, Fedor, and Yuri Tschinkel, eds. Geometric Methods in Algebra and Number Theory. Boston, MA: Birkhäuser Boston, 2005. http://dx.doi.org/10.1007/b138649.

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29

Brodmann, M. P. Local cohomology: An algebraic introduction with geometric applications. Cambridge, U.K: Cambridge University Press, 1998.

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30

Corrochano, Eduardo Bayro, and Garret Sobczyk, eds. Geometric Algebra with Applications in Science and Engineering. Boston, MA: Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0159-5.

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31

Corrochano, Eduardo Bayro, and Gerik Scheuermann. Geometric algebra computing: In engineering and computer science. London: Springer, 2010.

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32

Corrochano, Eduardo Bayro, and Garret Sobczyk. Geometric algebra with applications in science and engineering. New York: Springer Science+Business Media, LLC, 2001.

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33

service), SpringerLink (Online, ed. Geometric Etudes in Combinatorial Mathematics. New York, NY: Alexander Soifer 2010, 2010.

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34

Sethuraman, B. A. Rings, fields, and vector spaces: An introduction to abstract algebra via geometric constructability. New York: Springer, 1997.

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35

Dorst, Leo, Chris Doran, and Joan Lasenby, eds. Applications of Geometric Algebra in Computer Science and Engineering. Boston, MA: Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-1-4612-0089-5.

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36

1966-, Vezzosi Gabriele, ed. Homotopical algebraic geometry II: Geometric stacks and applications. Providence, R.I: American Mathematical Society, 2008.

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37

service), SpringerLink (Online, ed. A New Approach to Differential Geometry using Clifford's Geometric Algebra. Boston: Springer Science+Business Media, LLC, 2012.

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38

Geometric algebra: An algebraic system for computer games and animation. Dordrecht: Springer, 2009.

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39

Snygg, John. A New Approach to Differential Geometry using Clifford's Geometric Algebra. Boston, MA: Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8283-5.

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40

Vince, John. Geometric Algebra: An Algebraic System for Computer Games and Animation. London: Springer London, 2009. http://dx.doi.org/10.1007/978-1-84882-379-2.

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41

Sethuraman, B. A. Rings, Fields, and Vector Spaces: An Introduction to Abstract Algebra via Geometric Constructibility. New York, NY: Springer New York, 1997.

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42

London Mathematical Society Symposium on Geometry and Cohomology in Group Theory (2003 : Durham, England), ed. Geometric and cohomological methods in group theory. Cambridge: Cambridge University Press, 2009.

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43

Higher structures in geometry and physics: In honor of Murray Gerstenhaber and Jim Stasheff. Boston, Mass: Birkhäuser, 2010.

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44

Earl, Richard, and James Nicholson. The Concise Oxford Dictionary of Mathematics. 6th ed. Oxford University Press, 2021. http://dx.doi.org/10.1093/acref/9780198845355.001.0001.

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Abstract:

Over 4,000 entries This informative A to Z provides clear, jargon-free definitions of a wide variety of mathematical terms. Its articles cover both pure and applied mathematics and statistics, and include key theories, concepts, methods, programmes, people, and terminology. For this sixth edition, around 800 new terms have been defined, expanding on the dictionary’s coverage of algebra, differential geometry, algebraic geometry, representation theory, and statistics. Among this new material are articles such as cardinal arithmetic, first fundamental form, Lagrange’s theorem, Navier-Stokes equations, potential, and splitting field. The existing entries have also been revised and updated to account for developments in the field. Numerous supplementary features complement the text, including detailed appendices on basic algebra, areas and volumes, trigonometric formulae, and Roman numerals. Newly added to these sections is a historical timeline of significant mathematicians’ lives and the emergence of key theorems. There are also illustrations, graphs, and charts throughout the text, as well as useful web links to provide access to further reading.

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45

(Editor), Eduardo Bayro Corrochano, and Garret Sobczyk (Editor), eds. Geometric Algebra. Birkhäuser Boston, 2001.

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46

Geometric Algebra. Dover Publications, Incorporated, 2016.

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47

Artin, E. Geometric Algebra. Wiley & Sons, Incorporated, John, 2011.

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48

Artin, Emil. Geometric Algebra. Wiley-Interscience, 1988.

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49

Geometric Linear Algebra. World Scientific Publishing Company, 2005.

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50

Geometric Linear Algebra. World Scientific Publishing Company, 2005.

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