New Foundations in Mathematics: The Geometric Concept of Number

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9780817683849: New Foundations in Mathematics: The Geometric Concept of Number

The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics.

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Recensione:

From the book reviews:

“This book is suitable for graduate students and researchers interested in learning how W. K. Clifford’s geometric algebras provide a common, geometrically well-interpreted algebraic language for linear algebra, vector calculus, linear operators, forms, relativity, symmetry, differential geometry, non-Euclidean and projective geometry as well as Lie algebras. Every section is followed by an appropriate set of exercises, deepening and consolidating the section’s content.” (Eckhard M. S. Hitzer, Mathematical Reviews, July, 2014)

Contenuti:

1 Modular Number Systems.- 2 Complex and Hyperbolic Numbers.- 3 Geometric Algebra.- 4 Vector Spaces and Matrices.- 5 Outer Product and Determinants.- 6 Systems of Linear Equations.- 7 Linear Transformations on R^n.- 8 Structure of a Linear Operator.- 9 Linear and Bilinear Forms.- 10 Hermitian Inner Product Spaces.- 11 Geometry of Moving Planes.- 12 Representations of the Symmetric Group.- 13 Calculus on m-Surfaces.- 14 Differential Geometry of Curves.- 15 Differential Geometry of k-Surfaces.- 16 Mappings Between Surfaces.- 17 Non-Euclidean and Projective Geometries.- 18 Lie Groups and Lie Algebras.- References.- Symbols.

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1.

Garret Sobczyk
Editore: Birkhauser Boston Inc 2012-10-28, Secaucus (2012)
ISBN 10: 0817683844 ISBN 13: 9780817683849
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Descrizione libro Birkhauser Boston Inc 2012-10-28, Secaucus, 2012. hardback. Condizione libro: New. Codice libro della libreria 9780817683849

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Garret Sobczyk
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ISBN 10: 0817683844 ISBN 13: 9780817683849
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Descrizione libro Birkhauser Boston Inc. Hardback. Condizione libro: new. BRAND NEW, New Foundations in Mathematics, Garret Sobczyk, The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics. Codice libro della libreria B9780817683849

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Garret Sobczyk
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ISBN 10: 0817683844 ISBN 13: 9780817683849
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2012. Hardback. Condizione libro: New. 2013 ed.. 234 x 163 mm. Language: English . Brand New Book. The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics. Codice libro della libreria AAZ9780817683849

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Garret Sobczyk
Editore: BIRKHAUSER BOSTON INC, United States (2012)
ISBN 10: 0817683844 ISBN 13: 9780817683849
Nuovi Rilegato Quantità: 1
Da
The Book Depository US
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2012. Hardback. Condizione libro: New. 2013 ed.. 234 x 163 mm. Language: English . Brand New Book. The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels.The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics. Codice libro della libreria AAZ9780817683849

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Descrizione libro Birkhauser Boston Inc, 2012. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780817683849

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Descrizione libro Birkh?user, 2012. Condizione libro: New. The first of its kind, this book uses geometric algebra to present an innovative approach to elementary and advanced mathematics, extending the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Num Pages: 370 pages, 23 black & white illustrations, 32 colour illustrations, 10 black & white tables, biograp. BIC Classification: PB. Category: (P) Professional & Vocational. Dimension: 242 x 162 x 26. Weight in Grams: 714. . 2012. 2013th Edition. Hardcover. . . . . . Codice libro della libreria V9780817683849

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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808176838490000000

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Descrizione libro Birkhäuser. Condizione libro: New. The first of its kind, this book uses geometric algebra to present an innovative approach to elementary and advanced mathematics, extending the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Num Pages: 370 pages, 23 black & white illustrations, 32 colour illustrations, 10 black & white tables, biograp. BIC Classification: PB. Category: (P) Professional & Vocational. Dimension: 242 x 162 x 26. Weight in Grams: 714. . 2012. 2013th Edition. Hardcover. . . . . Books ship from the US and Ireland. Codice libro della libreria V9780817683849

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