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Differential geometry and mathematical physics ; part I. manifolds, lie gro…
Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under …
- Edisi
- -
- ISBN/ISSN
- 9789400753457
- Deskripsi Fisik
- xiv, 762 hlm.
- Judul Seri
- Theoretical and Mathematical Physics (TMP)
- No. Panggil
- E1824
Encyclopedia of distances
This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a developing field now regarded as an essential tool in many areas of pure and applied mathematics. Its publication coincides with intensifying research efforts into metric spaces and especially distance design for applications. Accurate…
- Edisi
- Ed.2
- ISBN/ISSN
- 9783642309588
- Deskripsi Fisik
- xviii, 650 hlm.
- Judul Seri
- -
- No. Panggil
- E751
First steps in differential geometry : Riemannian, contact, symplectic
Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent…
- Edisi
- 1
- ISBN/ISSN
- 9781461477327
- Deskripsi Fisik
- xiii, 410 hlm.
- Judul Seri
- Undergraduate texts in mathematics
- No. Panggil
- E610
Introduction to tensor analysis and the calculus of moving surfaces
This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. …
- Edisi
- 1
- ISBN/ISSN
- 9781461478676
- Deskripsi Fisik
- xiii, 302 hlm.
- Judul Seri
- -
- No. Panggil
- E616
Arithmetic and geometry of K3 surfaces and Calabi–Yau threefolds
In recent years, research in K3 surfaces and Calabi–Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics—in particular, in string theory. The workshop on Arithmetic and Geometry of K3 surfaces and Calabi–Yau threefolds, held at the Fields Institute (August 16-25, …
- Edisi
- 1
- ISBN/ISSN
- 9781461464037
- Deskripsi Fisik
- xxvi, 602hlm.
- Judul Seri
- Fields Institute Communications
- No. Panggil
- E550
Recent trends in Lorentzian geometry
Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as to explore new genuine geometric behaviors, far from classical Riemannian techniques. Recent progress has attracted a renewed interest in this theory for many researchers: long-standing global open problems have been solved, outstanding Lorentzian spaces and groups have been classif…
- Edisi
- 1
- ISBN/ISSN
- 9781461448976
- Deskripsi Fisik
- xii, 356 hlm.
- Judul Seri
- Springer proceedings in mathematics & statistics
- No. Panggil
- E479
Geography of order and chaos in mechanics: investigations of quasi-integrable…
This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systems—including for example the hydrogen atom or the solar system, with the associated Arnold web—through…
- Edisi
- 1
- ISBN/ISSN
- 9780817683702
- Deskripsi Fisik
- XVIII, 334 Hlm.
- Judul Seri
- Progress in mathematical physics
- No. Panggil
- E417
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