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Designed for one-semester courses at the senior undergraduate
level, this book is written for mathematics students and teachers,
as well as others needing to learn mathematical analysis for
engineering, physics, biology or finance. Nominal divisions between
pure and applied mathematics have been merged to provide easier
access. Applications are included from differential and integral
equations, systems of linear algebraic equations, approximation... more...

Algebraic geometry is often employed to encode and decode signals
transmitted in communication systems. This book describes the
fundamental principles of algebraic coding theory from the
perspective of an engineer, discussing a number of applications in
communications and signal processing. The principal concept is that
of using algebraic curves over finite fields to construct
error-correcting codes. The most recent developments are presented
including... more...

This is the only book on the topic of geometric configurations of
points and lines. It presents in detail the history of the topic,
with its surges and declines since its beginning in 1876. It covers
all the advances in the field since the revival of interest in
geometric configurations some 20 years ago. The author's
contributions are central to this revival. In particular, he
initiated the study of 4-configurations (that is, those that
contain four... more...

This up-to-date survey of the whole field of topology is the
flagship of the topology subseries of the Encyclopaedia. The book
gives an overview of various subfields, beginning with the
elements and proceeding right up to the present frontiers of
research.

Rationality problems link algebra to geometry, and the
difficulties involved depend on the transcendence degree of $K$
over $k$, or geometrically, on the dimension of the variety. A
major success in 19th century algebraic geometry was a complete
solution of the rationality problem in dimensions one and two
over algebraically closed ground fields of characteristic zero.
Such advances has led to many interdisciplinary applications to... more...

This book aims to provide a valuable source, which focuses on
interdisciplinary methods and affiliate research in the area of
Geometric Modeling and Graphics. It aims to provide the user
community with a variety of Geometric Modeling techniques,
applications, systems and tools necessary for various real life
problems in areas such as Designing objects, Medical Visualization,
Scientific Data Visualization, Archaeology, Toon Rendering, Virtual
Reality,... more...

Applied Mathematics: Body & Soul is a mathematics education
reform project developed at Chalmers University of Technology and
includes a series of volumes and software. The program is
motivated by the computer revolution opening new possibilitites
of computational mathematical modeling in mathematics, science
and engineering. It consists of a synthesis of Mathematical
Analysis (Soul), Numerical Computation (Body) and Application.... more...

This collection of original papers related to the Israeli GAFA
seminar (on Geometric Aspects of Functional Analysis) during the
years 2004-2005 reflects the general trends of the theory and are
a source of inspiration for research. Most of the papers deal
with different aspects of the Asymptotic Geometric Analysis,
ranging from classical topics in the geometry of convex bodies to
the study of sections or projections of convex bodies.

Modern theory of elliptic operators, or simply elliptic theory, has
been shaped by the Atiyah-Singer Index Theorem created 40 years
ago. Reviewing elliptic theory over a broad range, 32 leading
scientists from 14 different countries present recent developments
in topology; heat kernel techniques; spectral invariants and
cutting and pasting; noncommutative geometry; and theoretical
particle, string and membrane physics, and Hamiltonian dynamics.
The... more...

This is the first systematic account of the main results in the
theory of lightlike submanifolds of semi-Riemannian manifolds
which have a geometric structure, such as almost Hermitian,
almost contact metric or quaternion Kähler. Using these
structures, the book presents interesting classes of submanifolds
whose geometry is very rich.
The book also includes hypersurfaces of semi-Riemannian
manifolds, their use in general relativity... more...