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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
Exterior billiards : systems with impacts outside bounded domains
A billiard is a dynamical system in which a point particle alternates between free motion and specular reflections from the boundary of a domain. Exterior Billiards presents billiards in the complement of domains and their applications in aerodynamics and geometrical optics. This book distinguishes itself from existing literature by presenting billiard dynamics outside bounded domains, includ…
- Edisi
- 1
- ISBN/ISSN
- 9781461444817
- Deskripsi Fisik
- xiv, 286 hlm.
- Judul Seri
- -
- No. Panggil
- E467
Further developments in fractals and related fields: mathematical foundations…
This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,†held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading …
- Edisi
- 1
- ISBN/ISSN
- 9780817684006
- Deskripsi Fisik
- XIII, 288 Hlm.
- Judul Seri
- Trends in mathematics
- No. Panggil
- E427
Groupoid metrization theory: with applications to analysis on quasi-metric sp…
The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided. Unique features of Metrization Theory for Groupo…
- Edisi
- 1
- ISBN/ISSN
- 9780817683979
- Deskripsi Fisik
- XII, 479 Hlm.
- Judul Seri
- Applied and numerical harmonic analysis
- No. Panggil
- E426
A tale of two fractals
Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. Wr…
- Edisi
- 1
- ISBN/ISSN
- 9780817683825
- Deskripsi Fisik
- XIII, 138 Hlm.
- Judul Seri
- -
- No. Panggil
- E421
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 
- Edisi
- 1
- ISBN/ISSN
- 9780817683702
- Deskripsi Fisik
- XVIII, 334 Hlm.
- Judul Seri
- Progress in mathematical physics
- No. Panggil
- E417
Configurations from a graphical viewpoint
Configurations can be studied from a graph-theoretical viewpoint via the so-called Levi graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very active areas of mathematical exploration. In this self-contained textbook, algebraic graph theory is used to introduce groups; topological graph theory is used to explore surfaces; and geometric graph theory is imp…
- Edisi
- 1
- ISBN/ISSN
- 9780817683641
- Deskripsi Fisik
- XIII, 279 Hlm.
- Judul Seri
- Birkhäuser advanced texts Basler Lehrbücher
- No. Panggil
- E416
Fractal Geometry, Complex Dimensions and Zeta Functions : Geometry and Spectr…
Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Key Features of this Second Edition : The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings Complex dimensions of a fractal string, defined as the poles…
- Edisi
- 2
- ISBN/ISSN
- 9781461421764
- Deskripsi Fisik
- xxvi, 570 hlm.
- Judul Seri
- -
- No. Panggil
- E452
Thirty essays on geometric graph theory
In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface. The traditional methods of "abstract" graph theory are often incapable of providing satisfactory answers to questions arising in such applications. In the past couple of decades, many powerful new combinatorial and topological techniques have been developed to tackle these…
- Edisi
- 1
- ISBN/ISSN
- 9781461401100
- Deskripsi Fisik
- xiv, 610 hlm.
- Judul Seri
- -
- No. Panggil
- E451
Real analysis : measures, integrals and applications
Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics. The main emphasis is made on the properties of the Lebesgue integral and various applications both classical and those rarely covered in literature. This book provides a detailed introduction to Lebesgue measure and integration as well as the classical results concerning i…
- Edisi
- 1
- ISBN/ISSN
- 9781447151227
- Deskripsi Fisik
- xix, 772 hlm.
- Judul Seri
- -
- No. Panggil
- E447
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