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,...
Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Boston :
Birkhäuser Boston : Imprint: Birkhäuser
[20..].
Cham : Springer Nature |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • New foundations in mathematics, the geometric concept of number, Garret Sobczyk, 2013, New York, Birkhäuser/Springer, 1 vol. (XIV-370 p.), 978-0-8176-8384-9 |
| LEADER | 04628nam a22003017a 4500 | ||
|---|---|---|---|
| 001 | 949435 | ||
| 008 | 130325q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN168288699 | ||
| 020 | |a 9780817683856 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.5 | ||
| 100 | 1 | |a Sobczyk, Garret, |d 1943-...., |c mathématicien. | |
| 245 | 1 | 0 | |a New foundations in mathematics : |b The geometric concept of number |c by Garret Sobczyk. |
| 260 | |a Boston : |b Birkhäuser Boston : |b Imprint: Birkhäuser. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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.The book begins with a discussion of modular numbers (clock arithmetic) and modular polynomials. This leads to the idea of a spectral basis, the complex and hyperbolic numbers, and finally to geometric algebra, which lays the groundwork for the remainder of the text. Many topics are presented in a newlight, including:* vector spaces and matrices;* structure of linear operators and quadratic forms;* Hermitian inner product spaces;* geometry of moving planes;* spacetime of special relativity;* classical integration theorems;* differential geometry of curves and smooth surfaces;* projective geometry;* Lie groups and Lie algebras.Exercises with selected solutions are provided, and chapter summaries are included to reinforce concepts as they are covered. Links to relevant websites are often given, and supplementary material is available on the author s website. 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 | ||
| 776 | 0 | |0 178167789 |t New foundations in mathematics |o the geometric concept of number |f Garret Sobczyk |d 2013 |c New York |n Birkhäuser/Springer |p 1 vol. (XIV-370 p.) |z 978-0-8176-8384-9 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-0-8176-8385-6 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-X19FBMVS-Z |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:748138234 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-0-8176-8385-6 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:751593265 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-0-8176-8385-6 |z Accès INSA CVL | |
| 997 | |0 949435 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||