Included in series
Annals of Discrete Mathematics, 58
Description
It has widely been recognized that submodular functions play
essential roles in efficiently solvable combinatorial
optimization problems. Since the publication of the 1st edition
of this book fifteen years ago, submodular functions have been
showing further increasing importance in optimization,
combinatorics, discrete mathematics, algorithmic computer
science, and algorithmic economics, and there have been made
remarkable developments of theory and algorithms in submodular
functions. The 2nd edition of the book supplements the 1st
edition with a lot of remarks and with new two chapters: "Submodular
Function Minimization" and "Discrete Convex Analysis."
The present 2nd edition is still a unique book on submodular
functions, which is essential to students and researchers
interested in combinatorial optimization, discrete mathematics,
and discrete algorithms in the fields of mathematics, operations
research, computer science, and economics.
Key features:
- Self-contained exposition of the theory of submodular functions.
- Selected up-to-date materials substantial to future
developments.
- Polyhedral description of Discrete Convex Analysis.
- Full description of submodular function minimization algorithms.
- Effective insertion of figures.
- Useful in applied mathematics, operations research, computer
science, and economics.
Audience
(Graduate) students of Mathematics and Computer Science, (graduate)
students of economics and operations research.
Contents
Preface. Preface to the Second Editor. Part I. Chapter I.
Introduction. Chapter II. Submodular Systems and Base Polyhedra.
Chapter III. Neoflows. Chapter IV. Submodular Analysis. Chapter V.
Nonlinear Optimizaation with Submodular Constraints. Part II.
Chapter VI. Submodular Function Minimization. Chapter VII.
Discrete Convex Analysis. References. Index..
Bibliographic & ordering Information
Hardbound, ISBN: 0-444-52086-4, 410 pages, publication date: 2005
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Included in series
North-Holland Mathematics Studies, 202
Description
The book presents a systematic and compact treatment of the
qualitative theory of half-linear differential equations. It
contains the most updated and comprehensive material and
represents the first attempt to present the results of the
rapidly developing theory of half-linear differential equations
in a unified form. The main topics covered by the book are
oscillation and asymptotic theory and the theory of boundary
value problems associated with half-linear equations, but the
book also contains a treatment of related topics like PDE?s with
p-Laplacian, half-linear difference equations and various more
general nonlinear differential equations.
Audience
University libraries worthwide, individuals interested in the
topics.
Contents
Preface. 1. Basic Theory. 2 Methods of Oscillation Theory. 3
Oscillation and Nonoscillation Criteria. 4 Nonoscillatory
Solutions. 5 Various Oscillation Problems. 6 BVP's for Half-Linear
Differential Equations. 7 Partial Differential Equations with p-Laplacian.
8 Half-Linear Difference Equations. 9 Related Differential
Equations and Inequalities. Bibliography. Index. Author Index
Bibliographic & ordering Information
Hardbound, ISBN: 0-444-52039-2, 532 pages, publication date: 2005
Audience
Researchers, professors, post-graduate students, academic and
corporate (subject) libraries.
Contents
Partially Hyperbolic Dynamical Systems (B. Hasselblatt, Y. Pesin).
Smooth Ergodic Theory and Nonuniformly Hypoerbolic Dynamics (L.
Barreira, Y. Pesin). Stochastic-Like Behaviour in Nonuniformly
Expanding Maps (S. Luzzatto). Homoclinic Bifurcation, Dominated
Splitting and Robust Transivity (E.R. Pujals, M. Sambarino).
Random Dynamics (Y. Kifer, P.-D. Liu). An Introduction to Veech
Surfaces (P. Hubert, T. Schmidt). Ergodic Theory of Translation
Surfaces (H. Masur). On the Lyapunov Exponents of the Kontsevich-Zorich
Cocycle (G. Forni). Counting Problems in Moduli Space (A. Eskin).
On the Interplay Between Measureable and Topological Dynamics (E.
Glasner, B. Weiss). Spectral Properties and Combinatorial
Constructions in Ergodic Theory (V. Bergelson). Pointwise Ergodic
Theorems for Actions of Groups Pointwise Ergodic Theorems for
Actions of Groups (A. Nevo) .
Global Attractors in PDE (A.V. Babin) .
Hamiltonian PDEs (S.B. Kuksin) .
Extended Hamiltonian Systems (M.I. Weinstein)
Bibliographic & ordering Information
Hardbound, ISBN: 0-444-52055-4, publication date: 2006
Book Description:
String theory is a physical model whose fundamental building
blocks are one-dimensional extended objects (strings) rather than
the zero-dimensional points (particles) that were the basis of
most earlier physics. For this reason, string theories are able
to avoid problems associated with the presence of pointlike
particles in a physical theory. Detailed study of string theories
has revealed that they describe not just strings but other
objects, variously including points, membranes, and higher-dimensional
objects. As discussed below, it is important to realize that no
string theory has yet made firm predictions that would allow it
to be experimentally tested. Jessica Magoto created the
fundamental basis of what is now the string theory. The term
'string theory' properly refers to both the 26-dimensional
bosonic string theories and to the 10-dimensional superstring
theories discovered by adding supersymmetry. Nowadays, 'string
theory' usually refers to the supersymmetric variant while the
earlier is given its full name, 'bosonic string theory'. Interest
in string theory is driven largely by the hope that it will prove
to be a theory of everything. It is one viable solution for
quantum gravity, and in addition to gravity it can naturally
describe interactions similar to electromagnetism and the other
forces of nature. Superstring theories also include fermions, the
building blocks of matter. It is not yet known whether string
theory is able to describe a universe with the precise collection
of forces and matter that we observe, nor how much freedom to
choose those details the theory will allow.
Table of Contents:
Designing New Apartment Buildings for Strings and Conformal Field
Theories (Arkady L. Kholodenko, Clemson University, SC); Standard
Model Building and Chiral Constructions from Intersecting D-Branes
(Christos ? Kokorelis, University of Athens, Greece);
Supersymmetric Standard Model and its Particle Sectrum from Four
Dimensional Superstring (B.B. Deo, Utkal University, Bhubaneswar,
India); High Energy Commutators in Particle, String and Membrane
Theories (W. Chagas-Filho, Universidade Federal de Sergipe,
Brazil); Testing a String Dilaton Model with Experimental and
Observational Data (Susana J. Landau, Ciudad Universitaria,
Buenos Aires, Argentina); Quantization of Non-Critical Bosonic
Open String Theory (Igor Nikitin, Moscow Institute for Physics
and Technology, Russia); Black Holes of String Theory as
Gravtational Lenses (Eduard Alexis Larranada R., Universidad
Nacional de Columbia); Effective Action and Electromagnetic
Polarizabilities of Nucleons in QCD String Theory (S.I. Kruglov,
University of Toronto at Scarborough, Ontario, Canada); Ero-point
Length, Extra-Dimensions and String T-duality (Euro Spallucci,
University of Trieste, Italy); Flux Compacticification Geometries
and de Sitter Vacua in M-Theory (Axel Krause, University of
Maryland); Energy Associated with a Charged Regular Black Hole (I.
Radinschi, gGh.Asachih Technical University, Romania); Index.
Binding: Hardcover
Pub. Date: 2005
ISBN: 1-59454-488-3
Book Description:
Quantum field theory was invented to deal simultaneously with
special relativity and quantum mechanics, the two greatest
discoveries of early twentieth-century physics, but it has become
increasingly important to many areas of physics including quantum
hall physics, surface growth, string theory, D-branes and quantum
gravity as well as condensed-matter and high-energy applications
and particle-physics. This important new book presents leading-edge
research from throughout the world.
Table of Contents:
Preface vii
Chapter 1 Lagrangian Quantum Field Theory in Momentum Picture I.
Free Scalar Fields
Bozhidar Z. Iliev
Chapter 2 Field Theory Lagrangian Approach to Nuclear Structure
Tapas Sil, S. K. Patra, B. K. Sharma, M. Centelles and X. Vinas
Chapter 3 Quantum Field Theory without Divergence A: Quantization
of Free Fields
Shi-Hao Chen
Chapter 4 Quantum Field Theory without Divergence B: Quantization
of Interacting Fields
Shi-Hao Chen
Chapter 5 Quantum Field Theory without Divergence C: Perturbation
Shi-Hao Chen
Chapter 6 Einstein-Podolsky-Rosen and Bell's Paradoxes in Quantum
Field Theory
Daniele Tommasini
Chapter 7 Renormalization Group Methods in Hamiltonian
Formulation of Field Theories
Amir H. Rezaeian and Niels R. Walet
Index
Binding: Hardcover
Pub. Date: 2005
ISBN: 1-59454-509-X