Pertti Lounesto's Books

Clifford Algebras and Spinors

By: Pertti Lounesto

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This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.

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Page Count

352

Publisher

Cambridge University Press

Published Date

ISBN 10

0521005515

ISBN 13

9780521005517

Clifford Algebras with Numeric and Symbolic Computations

By: Rafal Ablamowicz,Joseph Parra,Pertti Lounesto

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Clifford Algebras with Numeric and Symbolic Computations

By: Rafal Ablamowicz,Joseph Parra,Pertti Lounesto

This edited survey book consists of 20 chapters showing application of Clifford algebra in quantum mechanics, field theory, spinor calculations, projective geometry, Hypercomplex algebra, function theory and crystallography. Many examples of computations performed with a variety of readily available software programs are presented in detail.

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Page Count

328

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461581575

ISBN 13

9781461581574

Clifford Algebras

Applications to Mathematics, Physics, and Engineering

By: Pertti Lounesto,Rafal Ablamowicz

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Clifford Algebras

Applications to Mathematics, Physics, and Engineering

By: Pertti Lounesto,Rafal Ablamowicz

In addition, attention is paid to the algebraic and Lie-theoretic applications of Clifford algebras---particularly their intersection with Hopf algebras, Lie algebras and representations, graded algebras, and associated mathematical structures. Symplectic Clifford algebras are also discussed. Finally, Clifford algebras play a strong role in both physics and engineering. The physics section features an investigation of geometric algebras, chiral Dirac equations, spinors and Fermions, and applications of Clifford algebras in classical mechanics and general relativity. Twistor and octonionic methods, electromagnetism and gravity, elementary particle physics, noncommutative physics, Dirac's equation, quantum spheres, and the Standard Model are among topics considered at length.

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Page Count

664

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817635254

ISBN 13

9780817635251

Clifford Algebras and Spinors

By: Pertti Lounesto

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Clifford Algebras and Spinors

By: Pertti Lounesto

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Solve jigsaw puzzle

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Page Count

352

Publisher

Cambridge University Press

Published Date

ISBN 10

0521005515

ISBN 13

9780521005517

Clifford Algebras

Applications to Mathematics, Physics, and Engineering

By: Pertti Lounesto,Rafal Ablamowicz

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Clifford Algebras

Applications to Mathematics, Physics, and Engineering

By: Pertti Lounesto,Rafal Ablamowicz

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Page Count

664

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817635254

ISBN 13

9780817635251

Clifford Algebras with Numeric and Symbolic Computations

By: Rafal Ablamowicz,Joseph Parra,Pertti Lounesto

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Clifford Algebras with Numeric and Symbolic Computations

By: Rafal Ablamowicz,Joseph Parra,Pertti Lounesto

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Page Count

348

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817639071

ISBN 13

9780817639075

Clifford Algebras with Numeric and Symbolic Computations

By: Rafał Abłamowicz,Pertti Lounesto,Josep M. Parra

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Clifford Algebras with Numeric and Symbolic Computations

By: Rafał Abłamowicz,Pertti Lounesto,Josep M. Parra

Clifford algebras are at a crossing point in a variety of research areas, including abstract algebra, crystallography, projective geometry, quantum mechanics, differential geometry and analysis. For many researchers working in this field in ma- thematics and physics, computer algebra software systems have become indispensable tools in theory and applications. This edited survey book consists of 20 chapters showing application of Clifford algebra in quantum mechanics, field theory, spinor calculations, projective geometry, Hypercomplex algebra, function theory and crystallography. Many examples of computations performed with a variety of readily available software programs are presented in detail, i.e., Maple, Mathematica, Axiom, etc. A key feature of the book is that it shows how scientific knowledge can advance with the use of computational tools and software.

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Page Count

322

Published Date

ISBN 10

3764339071

ISBN 13

9783764339074

Book's by Pertti Lounesto

Clifford Algebras and Spinors

Clifford Algebras and Spinors

Clifford Algebras with Numeric and Symbolic Computations

Clifford Algebras with Numeric and Symbolic Computations

Clifford Algebras

Clifford Algebras

Clifford Algebras and Spinors

Clifford Algebras and Spinors

Clifford Algebras

Clifford Algebras

Clifford Algebras with Numeric and Symbolic Computations

Clifford Algebras with Numeric and Symbolic Computations

Clifford Algebras with Numeric and Symbolic Computations

Clifford Algebras with Numeric and Symbolic Computations

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