This is a mathematics book written specifically for the enjoyment of non-mathematicians and those who ghated math in school.h The book is organized into two sections: (I) Beauty for the Eye (shallow water for the non-swimmer); and (II) A Feast for the Mind (slowly getting deeper for the more adventurous).
The author covers beautiful infinite series beginning with those
that a young child can understand to one that even Isaac Newton,
Gottfried Liebniz and the famous Bernoulli brothers could not sum.
Contents:
Beauty for the Eye:
Infinity and Infinite Series
p-Series
e-Series
Other Interesting Number Series
Feast for the Mind:
Easy Proofs
Less Easy Proofs
Not-So-Easy Proofs
Readership: Students from secondary one to O-level, junior
college students and general readers.
268pp Pub. date: Nov 2006
ISBN 978-981-270-078-0
981-270-078-1
ISBN 978-981-270-079-7(pbk)
981-270-079-X(pbk)
This unique book Ebased on the author's experience in
teaching his grandchildren mathematics the fun way Eprovides
the knowledge and skills to teach math to young children, through
learning games with playing cards. Children grow to associate
math with fun, pleasure and parental love and attention.
The author's innovative approach to teaching math to young
children is an ideal and highly productive way for parents and
grandparents to spend quality time with their young loved ones.
The book will be an immense help for children's progress in math
in the kindergarten and school.
Contents:
Nursery and Pre-School:
Recognition of Patterns, Colours, Shapes and Numbers
Pre-School and Primary:
Simple Arithmetical Concepts
Primary and Higher Primary:
Simple Mathematical Concepts
Appendices:
SNAP
Simple Gin-Rummy
Are You the King or Are You the Joker?
Post-Appendix:
Probability Examples
Readership: Parents, grandparents, and adults with young children
(ages 3E0 years); Older children who can read the book
themselves; for informal learning, making it more effective than
normal textbooks.
172pp Pub. date: Nov 2006
ISBN 978-981-270-404-7(pbk)
981-270-404-3(pbk)
The Singularity School and Conference took place in Luminy,
Marseille, from January 24th to February 25th 2005. More than 180
mathematicians from over 30 countries converged to discuss recent
developments in singularity theory.
The volume contains the elementary and advanced courses conducted
by singularities specialists during the conference, general
lectures on singularity theory, and lectures on applications of
the theory to various domains. The subjects range from geometry
and topology of singularities, through real and complex
singularities, to applications of singularities.
Contents:
Singularities of Robots Manipulators (P Donelan)
Legendrian Singularities and Differential Geometry (S Izumiya)
A Survey on Stratified Transversality (C Murolo)
Geometry of Resonance Tongues (G Vegter)
Meshing Real Algebraic Sets with Singularities (L Alberti et al.)
Contact Structures and Non-Isolated Singularities (C Caubel)
Motivic Vanishing Cycles and Applications (G Guilbert)
A General Image Computing Spectral Sequence (K Houston)
Towards an Algebraic Index Theory for Orbifolds (M Pflaum)
Quasi-Connections Lineaires (N Teleman)
Generic Singularities of Surfaces (Y Yomdin)
and other papers
Readership: Researchers and postgraduates students in singularity
theory and its applications.
1000pp (approx.) Pub. date: Scheduled Spring 2007
ISBN 978-981-270-410-8
981-270-410-8
Carl Wiemanfs contributions have had a major impact on
defining the field of atomic physics as it exists today. His
ground-breaking research has included precision laser
spectroscopy; using lasers and atoms to provide important table-top
tests of theories of elementary particle physics; the development
of techniques to cool and trap atoms using laser light,
particularly in inventing much simpler, less expensive ways to do
this; the understanding of how atoms interact with one another
and light at ultracold temperatures; and the creation of the
first Bose?Einstein condensation in a dilute gas, and the study
of the properties of this condensate. In recent years, he has
also turned his attention to physics education and new methods
and research in that area. This indispensable volume presents his
collected papers, with annotations from the author, tracing his
fascinating research path and providing valuable insight about
the significance of the works.
Contents:
Precision Measurement and Parity Nonconservation
Laser Cooling and Trapping
Bose?Einstein Condensation
Science Education
Development of Research Technology
Readership: Graduates, postgraduates and researchers in atomic
physics, laser physics and general physics.
600pp (approx.) Pub. date: Scheduled Summer 2007
ISBN 978-981-270-415-3
981-270-415-9
ISBN 978-981-270-416-0(pbk)
981-270-416-7(pbk)
Written by world-renowned experts, the book is a collection of
tutorial presentations and research papers catering to the latest
advances in symbolic summation, factorization, symbolic-numeric
linear algebra and linear functional equations. The papers were
presented at a workshop celebrating the 60th birthday of Sergei
Abramov (Russia), whose highly influential contributions to
symbolic methods are adopted in many leading computer algebra
systems.
Contents:
Hypergeometric Summation Revisited (S Abramov & M Petkovsek)
On Exponential Parts of Solutions of a Linear Differential System
(M Barkatou)
Rational Summation and Shiftless Factorization (J Gerhard)
A Quarter Century of Maple, Past and Future (G Gonnet)
Properties of Sigma Basis (G Labahn)
The Vector Rational Function Reconstruction Problem (A Storjohann)
Making Computer Algebra More Symbolic (S Watt)
On Gosper Summability of a Particular Hypergeometric Term (E Zima)
and other papers
Readership: Academics and researchers in computer science,
applied mathematics, discrete mathematics, physics and
engineering.
150pp (approx.) Pub. date: Scheduled Summer 2007
ISBN 978-981-270-200-5
981-270-200-8
*
This book offers fascinating and modern perspectives into the theory and
practice of the historical subject of polynomial root-finding, rejuvenating
the field via polynomiography, a creative and novel computer visualization
that renders spectacular images of a polynomial equation. Polynomiography
will not only pave the way for new applications of polynomials in science
and mathematics, but also in art and education. The book presents a thorough
development of the basic family, arguably the most fundamental family of
iteration functions, deriving many surprising and novel theoretical and
practical applications such as: algorithms for approximation of roots of
polynomials and analytic functions, polynomiography, bounds on zeros of
polynomials, formulas for the approximation of Pi, and characterizations
or visualizations associated with a homogeneous linear recurrence relation.
These discoveries and a set of beautiful images that provide new visions,
even of the well-known polynomials and recurrences, are the makeup of a
very desirable book. This book is a must for mathematicians, scientists,
advanced undergraduates and graduates, but is also for anyone with an appreciation
for the connections between a fantastically creative art form and its ancient
mathematical foundations.
Contents:
Algorithms for Approximation of Square Roots and Their
Visualization in the Complex Plane: The Genesis
The Fundamental Theorem of Algebra and a Taylorfs Theorem: The
Genesis of Iteration Functions for Polynomial Root-Finding
Algorithms
Introduction to the Basic Family of Iteration Functions and
Polynomiography
Equivalent Formulations of the Basic Family
Iterations of Basic Family as Dynamical Systems
Fixed-Points of the Basic Family
Algebraic Derivation and Characterizations of the Basic Family
The Truncated Basic Family and the Special Case of Halley Family
Characterizations of Solutions of Homogeneous Linear Recurrence
Relations via the Basic Family and Polyhedral Representations
Determinantal Generalization of Taylorfs Theorem and Newtonfs
Method and Its Applications in Approximation Theory
The Multipoint Basic Family and Their Order of Convergence
Computational Comparison of the Multipoint Basic Family Members
A General Determinantal Lower Bound and Specific Applications in
Root-Finding
Formulas for Approximation Pi Based on Root-Finding Algorithms
Bounds on Roots of Polynomials and Analytic Functions
Geometric Properties of Polynomial Roots and Their Approximations
via the Basic Family
Polynomiography: Algorithms for Visualization of Polynomials
Equations
Visualization of Homogeneous Linear Recurrence Relations via
Polynomiography
Applications of Polynomiography in Art, Education, Science and
Mathematics
Approximation of Square-Roots Revisited: Basic Family, Continued
Fractions and Factorization
Further Applications and Extensions of the Basic Family and
Polynomiography
Readership: Researchers in numerical and computational
mathematics, complex systems and approximation theory.
350pp (approx.) Pub. date: Scheduled Summer 2007
ISBN 978-981-270-059-9
981-270-059-5
This book presents the development and application of some
topological methods in the analysis of data coming from 3D
dynamical systems (or related objects). The aim is to emphasize
the scope and limitations of the methods, what they provide and
what they do not provide. Braid theory, the topology of surface
homeomorphisms, data analysis and the reconstruction of phase-space
dynamics are thoroughly addressed.
Contents:
A Crisis in the Experimental Method Paradigm
Orbit Organization in R2 x S1
Braids as Indicators of Phase-Space Dynamics
Braids and the Poincare Section
Reconstruction of Phase-Space Dynamics
Other Results on Reconstruction of Dynamics
Readership: Researchers in geometry and topology and mathematical
modeling.
200pp (approx.) Pub. date: Scheduled Fall 2007
ISBN 978-981-270-380-4
981-270-380-2