| Description |
1 online resource |
|
text txt rdacontent |
|
computer c rdamedia |
|
online resource cr rdacarrier |
| Series |
New mathematical methods, systems and applications set
|
| Contents |
Volume 1: 1. Categories and functors -- 1.1. Categories -- 1.2. Functors -- 1.3. Structures -- 2. Elementary algebraic structures -- 2.1. Monoids and ordered sets -- 2.2. Groups -- 2.3. Rings and algebras -- 3. Modules and algebras -- 3.1. Additional concepts from linear algebra -- 3.2. Notions of commutative algebra -- 3.3. Homological notions -- 3.4. Modules over principal ideal domains and related notions |
| Bibliography |
Includes bibliographical references and index. |
| Note |
Description based on CIP data; resource not viewed. |
| Summary |
Fundamentals of Advanced Mathematics, Volume Three, begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory of connections is (linear connections, principal connections, and Cartan connections) covered, as is the calculus of variations in Lagrangian and Hamiltonian formulations. This volume is the prerequisite to the analytic and geometric study of nonlinear systems. |
| Subject |
Mathematics.
|
|
Differential calculus.
|
|
Calculus of tensors.
|
|
Geometry, Differential.
|
|
Global analysis (Mathematics)
|
|
Manifolds (Mathematics)
|
|
Mathematics |
|
Mathématiques.
|
|
Calcul différentiel.
|
|
Calcul tensoriel.
|
|
Géométrie différentielle.
|
|
Analyse globale (Mathématiques)
|
|
Variétés (Mathématiques)
|
|
Calculus of tensors
|
|
Differential calculus
|
|
Geometry, Differential
|
|
Global analysis (Mathematics)
|
|
Manifolds (Mathematics)
|
|
Mathematics
|
| Added Title |
Differential calculus, tensor calculus, differential geometry, global analysis |
| Other Form: |
Print version: 9781785482502 |
| ISBN |
9780081023860 (ePub ebook) : |
|
0081023863 |
|
9781785482502 (hbk.) |
| Standard No. |
UKMGB 019559322 |
|
AU@ 000066182981 |
|
