ISBN: 81-7319-612-5
Publication Year: 2005
Pages: 198
Binding: Hard Back
Dimension: 210mm x 280mm
Proceedings
About the book
Graphs, Combinatorics, Algorithms and Applications: The research
papers contributed by leading experts in their respective field
discusses current areas of research in graph theory such as: ・
Graphoidal covers ・ Hyper graphs ・ Domination in graph ・
Signed graphs ・ Graph labelings and ・ Theoretical computer
science This volume will serve as an excellent reference for
experts and research scholars working in Graph Theory and related
topics.
Table of content
Preface / List of Participants / Graphs with size equal to order
plus graphoidal covering number / A study of regular picture
languages using petri nets and graph grammars / On endomorphisms
of finite abelian groups with an application / Existence of
Hamilton cycles in prisms over graphs / Some families of E3-cordial
graphs / Graph equations for line graphs, qlick graphs and plick
graphs / Miscellaneous properties of line splitting graphs /
Recognizable picture languages / Hamiltonian chains in
hypergraphs - A survey / Construction of some new finite graphs
using group representations / Subarray complexity of finite
arrays / Super edge-magic strength of some new classes of graphs-II
/ Some new classes of super magic graphs / Trees with large total
domination number / Construction of super edge magic graphs / On
Cubic Graphs with equal domination number and chromatic number /
Degree sequence from elementary contractions / Bounds for the
eigenvalues of a graph / Graceful complete signed graphs / Some
sigma labeled graphs : I / Special factors of partial words and
trapezoidal partial words / Some results on complementary perfect
domination number of a graph / Some improved lower bounds for the
edge achromatic number of a complete graph / Characterizations of
trees with respect to some domination related properties /
Imbedding in a graph in which all maximal cliques are of the same
size / Lindenmayer systems and Watson-Crick complementarity /
Paley type graphs / Efficient dominating sets in cayley graphs /
Embedding index of nonindominable Graphs / Wiener number of a
maximal outer planar graph
ISBN: 81-7319-656-7
Publication Year: 2005
Pages: 162
Binding: Paper Back
Dimension: 160mm x 240mm
Textbook
About the book
Topology of Metric Spaces gives a very streamlined development of
a course in metric space topology emphasizing only the most
useful concepts, concrete spaces and geometric ideas to encourage
geometric thinking, to treat this as a preparatory ground for a
general topology course, to use this course as a surrogate for
real analysis and to help the students gain some perspective of
modern analysis.
Key Features
All concepts introduced using the primitive concepts of open
balls or open sets / Geometric motivations of concepts,
definitions and results / Real life motivations and analogies ?
Lots of concrete and geometric examples and pictures / Numerous
exercises in meaningful contexts, with copious hints to most of
them / Typical applications of major results / Attention to the
difficulties faced by beginners / Most of the proofs start with
the strategy of the proof so as to enable good students to work
on their own / Prepares the ground for higher aspects of topology
and analysis. / Eminently suitable for self-study, this book may
also be used as a supplementary text for courses in general (or
point-set) topology so that students will acquire a lot of
concrete examples of spaces and maps.
Table of content
Preface / Basic Notions / Convergence / Continuity / Compactness
/ Connectedness / Complete Metric Spaces / Bibliography / Index.
ISBN: 81-7319-635-4
Publication Year: 2005
Pages: 145
Binding: Paper Back
Dimension: 160mm x 240mm
Textbook
About the book
A First Course in Algebraic Topology starts with the basic
notions of category, functors and homotopy of continuous mappings
including relative homotopy. Fundamental groups of circles and
torus have been treated along with the fundamental group of
covering spaces. Simplexes and complexes are presented in detail
and two homology theories-simplicial homology and singular
homology have been considered along with calculations of some
homology groups. New to the Second Edition Chapter on: ・
Simplicial Cohomology groups indicating how the duality between
homology and cohomology groups acts
Key Features
New Definitions followed by suitable illustrations / Proofs of
theorems easily accessible to the readers / Sufficient numbers of
examples to facilitate clear understanding of the concepts
Table of content
Preface to the Second Edition / Preface to the First Edition /
Symbols and Notations / Basic Concepts / Category and Functors /
Homotopy / Homotopy Type and Retractions / Paths / The
Fundamental Group / Fundamental Group of the Circles / Covering
Spaces / Fibrations / Geometric Simplexes and Complexes /
Simplicial Homology Theory / Singular Homology / Simplicial
Cohomology Groups / References / Index.
ISBN: 81-7319-615-X
Publication Year: 2005
Pages: 212
Binding: Paper Back
Dimension: 160mm x 240mm
Textbook
About the book
This book imparts latest developments in various properties of
fuzzy topology viz., fuzzy set theory, fuzzy point and its
neighbourhood structure, Fuzzy nets and Fuzzy convergence, Fuzzy
metric, Different fuzzy compactness, Fuzzy connectedness, Fuzzy
separation axioms and properties, Product spaces, Convex fuzzy
sets and Fuzzy uniform spaces. New to this edition ・ Chapter on
Fuzzy Set Theory
Key Features
Large number of examples / Counter examples, characterizations,
implications / References to original sources included
Table of content
Preface / Acknowledgements / Fuzzy set theory / Fuzzy topological
spaces / Fuzzy product induced spaces / Fuzzy nets and fuzzy
convergence / Fuzzy metric spaces / Fuzzy compact spaces /
Initial and final fuzzy topologies and the fuzzy Tychonoff
theorem / Connectedness in fuzzy topological spaces / Fuzzy
separation / Product spaces / Fuzzy uniform spaces / Index /
References
ISBN: 81-7319-629-X
Publication Year: 2005
Pages: 520
Binding: Paper Back
Dimension: 185mm x 240mm
Textbook
About the book
Foundations of Complex Analysis is aimed at giving students a
good foundation of complex analysis and provides a basis for
solving problems in mathematics, physics, engineering and many
other sciences. Each chapter is supplemented with well-structured
examples, and exercises with hints and outlines for solutions.
This book can be used as a textbook for a two semester course in
complex analysis, or as a supplementary text for an advanced
course in function theory. This second edition has gone through a
major revision of the 1995 edition. As far as possible many
sections are made less dependent on other sections in order to
ensure flexibility in designing a course content.
Key Features
New to the Second Edition: / Hadamard’s three circles theorem /
Schwarz-Pick lemma / Poisson Integral Formula / Monodromy theorem
/ Hadamard product representation / Riemann mapping theorem /
Picard’s little theorem The author has published over 80
research articles, research monographs, and text books including
Foundations of Functional Analysis (Narosa Publishing House,
India).
Table of content
Preface to the Second Edition / Complex Numbers / Functions,
Limit and Continuity / Analytic Functions and Power Series /
Complex Integration / Conformal Mappings and Mobius
Transformations / Maximum Principle, Schwarz’ Lemma, and
Liouville’s Theorem / Classification of Singularities /
Calculus of Residues / Evaluation of certain Integrals / Analytic
Continuation / Representations for Meromorphic and Entire
Functions / Mapping Theorems / Bibliography / Index of Special
Notations / Hints and Solutions for Selected Exercises / Index.