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Fundamentals of advanced mathematics. 3, Differential calculus, tensor calculus, differential geometry, global analysis /
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, different...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam :
Elsevier,
2019.
|
| Colección: | New mathematical methods, systems and applications set
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a22000001i 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_on1127105051 | ||
| 003 | OCoLC | ||
| 005 | 20231120010421.0 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 190930s2019 ne ob 001 0 eng d | ||
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| 015 | |a GBB9G4918 |2 bnb | ||
| 016 | 7 | |a 019559322 |2 Uk | |
| 020 | |a 9780081023860 |q (ePub ebook) : | ||
| 020 | |a 0081023863 | ||
| 020 | |z 9781785482502 (hbk.) | ||
| 035 | |a (OCoLC)1127105051 | ||
| 050 | 4 | |a QA36 | |
| 082 | 0 | 4 | |a 510 |2 23 |
| 100 | 1 | |a Bourles, Henri, |e author. | |
| 245 | 1 | 0 | |a Fundamentals of advanced mathematics. |n 3, |p Differential calculus, tensor calculus, differential geometry, global analysis / |c Henri Bourles. |
| 246 | 3 | 0 | |a Differential calculus, tensor calculus, differential geometry, global analysis |
| 264 | 1 | |a Amsterdam : |b Elsevier, |c 2019. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a New mathematical methods, systems and applications set | |
| 505 | 0 | |a 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 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | |a Description based on CIP data; resource not viewed. | ||
| 520 | |a 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. | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Differential calculus. | |
| 650 | 0 | |a Calculus of tensors. | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Global analysis (Mathematics) | |
| 650 | 0 | |a Manifolds (Mathematics) | |
| 650 | 2 | |a Mathematics |0 (DNLM)D008433 | |
| 650 | 6 | |a Math�ematiques. |0 (CaQQLa)201-0068291 | |
| 650 | 6 | |a Calcul diff�erentiel. |0 (CaQQLa)201-0003657 | |
| 650 | 6 | |a Calcul tensoriel. |0 (CaQQLa)201-0030334 | |
| 650 | 6 | |a G�eom�etrie diff�erentielle. |0 (CaQQLa)201-0001184 | |
| 650 | 6 | |a Analyse globale (Math�ematiques) |0 (CaQQLa)201-0033350 | |
| 650 | 6 | |a Vari�et�es (Math�ematiques) |0 (CaQQLa)201-0014518 | |
| 650 | 7 | |a Calculus of tensors |2 fast |0 (OCoLC)fst00844137 | |
| 650 | 7 | |a Differential calculus |2 fast |0 (OCoLC)fst00893441 | |
| 650 | 7 | |a Geometry, Differential |2 fast |0 (OCoLC)fst00940919 | |
| 650 | 7 | |a Global analysis (Mathematics) |2 fast |0 (OCoLC)fst00943472 | |
| 650 | 7 | |a Manifolds (Mathematics) |2 fast |0 (OCoLC)fst01007726 | |
| 650 | 7 | |a Mathematics |2 fast |0 (OCoLC)fst01012163 | |
| 776 | 0 | 8 | |i Print version: |z 9781785482502 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9781785482502 |z Texto completo |