Encyclopedia of Mathematics and its Applications, 103
2005 hardcover ENG
ISBN 0-521-82584-9
［DESCRIPTION］
Indispensable to all working in systems theory, operator theory,
delay equations and partial differential equations.
［CONTENTS］
1. Introduction and overview; 2. Basic properties of well-posed
linear systems; 3. Strongly continuous semigroups; 4. The
generations of a well-posed linear system; 5. Compatible and
regular systems; 6. Anti-causal, dual and inverted systems; 7.
Feedback; 8. Stabilization and detection; 9. Realizations; 10.
Admissibility; 11. Passive and conservative scattering systems;
12. Discrete time systems; 13. Appendix.
Series: Springer Series in Statistics,
3rd ed., 2005, XIX, 315 p. 22 illus., Hardcover
ISBN: 0-387-20279-X
Contents
This book presents the essential aspects of relativistic
quantum field theory, with minimal use of mathematics. It covers
the development of quantum field theory from the original
quantization of electromagnetic field to the gauge field theory
of interactions among quarks and leptons.
Aimed at both scientists and non-specialists, it requires only
some rudimentary knowledge of the Lagrangian and Hamiltonian
formulation of Newtonian mechanics and a basic understanding of
the special theory of relativity and quantum mechanics.
Contents:
Particles and Fields I: Dichotomy
Lagrangian and Hamiltonian Dynamics
Canonical Quantization
Particles and Fields II: Duality
Equations for Duality
Electromagnetic Field
Emulation of Light I: Matter Fields
Road Map for Field Quantization
Particles and Fields III: Particles as Quanta of Fields
Emulation of Light II: Interactions
Triumph and Wane
Emulation of Light III: Gauge Field
Quarks and Leptons
Non-Abelian Gauge Field Theories
Readership: Students, researchers, academics and non-specialists
interested in quantum field theory.
116pp Pub. date: Dec 2004
ISBN 981-256-034-3
The study of attractors of dynamical systems occupies an
important position in the modern qualitative theory of
differential equations. This engaging volume presents an
authoritative overview of both autonomous and non-autonomous
dynamical systems, including the global compact attractor. From
an in-depth introduction to the different types of dissipativity
and attraction, the book takes a comprehensive look at the
connections between them, and critically discusses applications
of general results to different classes of differential equations.
Intended for experts in qualitative theory of differential
equations, dynamical systems and their applications, this
accessible book can also serve as an important resource for
senior students and lecturers.
Contents:
Autonomous Dynamical Systems
Non-Autonomous Dissipative Dynamical Systems
Analytic Dissipative Systems
The Structure of the Levinson Centre of System with the Condition
of the Hyperbolicity
Method of Lyapunov Functions
Dissipativity of Some Classes of Equations
Upper Semi-Continuity of Attractors
The Relationship between Pullback, Forward and Global Attractors
Pullback Attractors of ?泡nalytic Systems
Pullback Attractors Under Discretization
Global Attractors of Non-Autonomous Navier亡tokes Equations
Global Attractors of V-Monotone Dynamical Systems
Linear Almost Periodic Dynamical Systems
Triangular Maps.
Readership: Researchers, academics/lecturers, graduate students
and post-graduate students in dynamical systems and their
applications.
528pp Pub. date: Dec 2004
ISBN 981-256-028-9
The book presents the important fundamental theorems and
algorithms on planar graph drawing with easy-to-understand and
constructive proofs. Extensively illustrated and with exercises
included at the end of each chapter, it is suitable for use in
advanced undergraduate and graduate level courses on algorithms,
graph theory, graph drawing, information visualization and
computational geometry. The book will also serve as a useful
reference source for researchers in the field of graph drawing
and software developers in information visualization, VLSI design
and CAD.
Contents:
Graph Drawing
Graph Theoretic Foundations
Algorithmic Foundations
Straight Line Drawing
Convex Drawing
Rectangular Drawing
Box-Rectangular Drawing
Orthogonal Drawing
Octagonal Drawing
Planar Embedding
Readership: Upper-level undergraduates, graduate students,
researchers, academics, lecturers, and professionals in
theoretical computer science, combinatorics & graph theory
and computer engineering.
312pp Pub. date: Sept 2004
ISBN 981-256-033-5
Series: Monographs in Computer Science,
2005, XIV, 210 p. 80 illus., Hardcover
ISBN: 0-387-40295-0
About this book
During maintenance of a software system, not all questions can be
answered directly by resorting to otherwise reliable and accurate
source code. Reverse engineering aims at extracting abstract,
goal-oriented views of the system, able to summarize relevant
properties of the program's computations. Reverse Engineering of
Object-Oriented Code provides a comprehensive overview of several
techniques that have been recently investigated in the field of
reverse engineering. The book describes the algorithms involved
in recovering UML diagrams from the code and the techniques that
can be adopted for their visualization. This is important because
the UML has become the standard for representing design diagrams
in object-oriented development. A state-of-the-art exposition on
how to design object-oriented code and accompanying algorithms
that can be reverse engineered for greater flexibility in future
code maintenance and alteration. Essential object-oriented
concepts and programming methods for software engineers and
researchers.
Table of contents
Introduction.- Object flow graph.- Class diagram.- Object diagram.-
Interaction diagrams.- State diagram.- Package diagram.-
Conclusions.- Appendixes for eLib program.- References.- Index.