graphs on surfaces and their applications encyclopaedia of mathematical sciences

Download Book Graphs On Surfaces And Their Applications Encyclopaedia Of Mathematical Sciences in PDF format. You can Read Online Graphs On Surfaces And Their Applications Encyclopaedia Of Mathematical Sciences here in PDF, EPUB, Mobi or Docx formats.

Graphs On Surfaces And Their Applications

Author : Sergei K. Lando
ISBN : 9783540383611
Genre : Mathematics
File Size : 69. 80 MB
Format : PDF, Kindle
Download : 967
Read : 1181

Get This Book


Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a focus of a vast field of research. The book provides an accessible introduction to this new domain, including such topics as coverings of Riemann surfaces, the Galois group action on embedded graphs (Grothendieck's theory of "dessins d'enfants"), the matrix integral method, moduli spaces of curves, the topology of meromorphic functions, and combinatorial aspects of Vassiliev's knot invariants and, in an appendix by Don Zagier, the use of finite group representation theory. The presentation is concrete throughout, with numerous figures, examples (including computer calculations) and exercises, and should appeal to both graduate students and researchers.

Algebraic Geometry I

Author : V.I. Danilov
ISBN : 3540637052
Genre : Mathematics
File Size : 44. 9 MB
Format : PDF, Kindle
Download : 608
Read : 923

Get This Book


"... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics." --Acta Scientiarum Mathematicarum

Introduction To Modern Number Theory

Author : Yu. I. Manin
ISBN : 3540276920
Genre : Mathematics
File Size : 76. 53 MB
Format : PDF, Docs
Download : 778
Read : 1007

Get This Book


This edition has been called ‘startlingly up-to-date’, and in this corrected second printing you can be sure that it’s even more contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories.

Graphs On Surfaces

Author : Joanna A. Ellis-Monaghan
ISBN : 9781461469711
Genre : Mathematics
File Size : 20. 38 MB
Format : PDF, ePub, Mobi
Download : 825
Read : 1264

Get This Book


Graphs on Surfaces: Dualities, Polynomials, and Knots offers an accessible and comprehensive treatment of recent developments on generalized duals of graphs on surfaces, and their applications. The authors illustrate the interdependency between duality, medial graphs and knots; how this interdependency is reflected in algebraic invariants of graphs and knots; and how it can be exploited to solve problems in graph and knot theory. Taking a constructive approach, the authors emphasize how generalized duals and related ideas arise by localizing classical constructions, such as geometric duals and Tait graphs, and then removing artificial restrictions in these constructions to obtain full extensions of them to embedded graphs. The authors demonstrate the benefits of these generalizations to embedded graphs in chapters describing their applications to graph polynomials and knots. Graphs on Surfaces: Dualities, Polynomials, and Knots also provides a self-contained introduction to graphs on surfaces, generalized duals, topological graph polynomials, and knot polynomials that is accessible both to graph theorists and to knot theorists. Directed at those with some familiarity with basic graph theory and knot theory, this book is appropriate for graduate students and researchers in either area. Because the area is advancing so rapidly, the authors give a comprehensive overview of the topic and include a robust bibliography, aiming to provide the reader with the necessary foundations to stay abreast of the field. The reader will come away from the text convinced of advantages of considering these higher genus analogues of constructions of plane and abstract graphs, and with a good understanding of how they arise.

Medical Image Computing And Computer Assisted Intervention Miccai 2015

Author : Nassir Navab
ISBN : 9783319245744
Genre : Computers
File Size : 87. 27 MB
Format : PDF, Kindle
Download : 157
Read : 618

Get This Book


The three-volume set LNCS 9349, 9350, and 9351 constitutes the refereed proceedings of the 18th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2015, held in Munich, Germany, in October 2015. Based on rigorous peer reviews, the program committee carefully selected 263 revised papers from 810 submissions for presentation in three volumes. The papers have been organized in the following topical sections: quantitative image analysis I: segmentation and measurement; computer-aided diagnosis: machine learning; computer-aided diagnosis: automation; quantitative image analysis II: classification, detection, features, and morphology; advanced MRI: diffusion, fMRI, DCE; quantitative image analysis III: motion, deformation, development and degeneration; quantitative image analysis IV: microscopy, fluorescence and histological imagery; registration: method and advanced applications; reconstruction, image formation, advanced acquisition - computational imaging; modelling and simulation for diagnosis and interventional planning; computer-assisted and image-guided interventions.

Riemann And Klein Surfaces Automorphisms Symmetries And Moduli Spaces

Author : Milagros Izquierdo
ISBN : 9781470410933
Genre : Mathematics
File Size : 40. 16 MB
Format : PDF, Kindle
Download : 673
Read : 563

Get This Book


This volume contains the proceedings of the conference on Riemann and Klein Surfaces, Symmetries and Moduli Spaces, in honor of Emilio Bujalance, held from June 24-28, 2013, at Linköping University. The conference and this volume are devoted to the mathematics that Emilio Bujalance has worked with in the following areas, all with a computational flavor: Riemann and Klein surfaces, automorphisms of real and complex surfaces, group actions on surfaces and topological properties of moduli spaces of complex curves and Abelian varieties.

Encyclopedia Of Distances

Author : Michel Marie Deza
ISBN : 9783662528440
Genre : Mathematics
File Size : 55. 2 MB
Format : PDF, ePub, Docs
Download : 484
Read : 275

Get This Book


This 4-th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics. Though the structure remains unchanged, the new edition also explores recent advances in the use of distances and metrics for e.g. generalized distances, probability theory, graph theory, coding theory, data analysis. New topics in the purely mathematical sections include e.g. the Vitanyi multiset-metric, algebraic point-conic distance, triangular ratio metric, Rossi-Hamming metric, Taneja distance, spectral semimetric between graphs, channel metrization, and Maryland bridge distance. The multidisciplinary sections have also been supplemented with new topics, including: dynamic time wrapping distance, memory distance, allometry, atmospheric depth, elliptic orbit distance, VLBI distance measurements, the astronomical system of units, and walkability distance. Leaving aside the practical questions that arise during the selection of a ‘good’ distance function, this work focuses on providing the research community with an invaluable comprehensive listing of the main available distances. As well as providing standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links to core entries. In addition to distances themselves, the authors have collated numerous fascinating curiosities in their Who’s Who of metrics, including distance-related notions and paradigms that enable applied mathematicians in other sectors to deploy research tools that non-specialists justly view as arcane. In expanding access to these techniques, and in many cases enriching the context of distances themselves, this peerless volume is certain to stimulate fresh research.

Encyclopedia Of Emulsion Technology

Author : Daniel Schuster
ISBN : 0824793803
Genre : Science
File Size : 20. 38 MB
Format : PDF, Kindle
Download : 476
Read : 919

Get This Book


This volume extends the discussions of basic theory and applications featured in volumes 1-3 of this series. It includes details on emulsion stability and emulsification; an examination on the effect of added polymers on emulsion rheology; findings on the role of repulsive forces in aqueous solubility, micelle stability, micro-emulsion formation, and phase separation; and a model for microemulsions.

Mathematical Methods Of Classical Mechanics

Author : V.I. Arnol'd
ISBN : 9781475720631
Genre : Mathematics
File Size : 87. 71 MB
Format : PDF, Kindle
Download : 920
Read : 367

Get This Book


This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

Encyclopedia Of Materials Characterization

Author : C. R. Brundle
ISBN : 0750691689
Genre : Technology & Engineering
File Size : 71. 41 MB
Format : PDF
Download : 641
Read : 836

Get This Book


Encyclopedia of Materials Characterization is a comprehensive volume on analytical techniques used in materials science for the characterization of surfaces, interfaces and thin films. This flagship volume in the Materials Characterization Series is a unique, stand-alone reference for materials science practitioners, process engineers, students and anyone with a need to know about the capabilities available in materials analysis. An encyclopedia of 50 concise articles, this book will also be a practical companion to the forthcoming books in the Series. It describes widely-ranging techniques in a jargon-free manner and includes summary pages for each technique to supply a quick survey of its capabilities.

Top Download:

Best Books