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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
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)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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Spese di spedizione:
EUR 11,99
Da: Germania a: Italia
Descrizione libro Condizione: New. Codice articolo 5976000
Descrizione libro Hardcover. Condizione: new. Codice articolo 9780817683849
Descrizione libro Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 384 pp. Englisch. Codice articolo 9780817683849
Descrizione libro Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 articolo 9780817683849
Descrizione libro Condizione: 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 articolo V9780817683849
Descrizione libro Condizione: New. Book is in NEW condition. Codice articolo 0817683844-2-1
Descrizione libro Condizione: New. New! This book is in the same immaculate condition as when it was published. Codice articolo 353-0817683844-new
Descrizione libro Condizione: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Codice articolo ria9780817683849_lsuk
Descrizione libro Condizione: 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 articolo V9780817683849
Descrizione libro Hardback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Codice articolo C9780817683849