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Schaum's Outline of Geometry is a revised edition of this very
successful solved-problem outline first published in 1963. "Measure
of an angle" terminology and metric as well as customary units are
used throughout. Dates and amounts, sections on quantifiers, and
laws of reasoning have been updated. Analytic geometry and
transformational geometry has been added and the section on solid
geometry shortened in line with the recent national curriculum... more...

How do you convey to your students, colleagues and friends some of
the beauty of the kind of mathematics you are obsessed with? If you
are a mathematician interested in finite or topological geometry
and combinatorial designs, you could start by showing them some of
the (400+) pictures in the "picture book". Pictures are what this
book is all about; original pictures of everybody's favorite
geometries such as configurations, projective planes and... more...

21st Century Kinematics focuses on algebraic problems in the
analysis and synthesis of mechanisms and robots, compliant
mechanisms, cable-driven systems and protein kinematics. The
specialist contributors provide the background for a series of
presentations at the 2012 NSF Workshop. The text shows how the
analysis and design of innovative mechanical systems yield
increasingly complex systems of polynomials, characteristic of
those systems. In doing so,... more...

"Contains papers presented at the 35th Taniguchi International
Symposium held recently in Sanda and Kyoto, Japan. Details the
latest developments concerning moduli spaces of vector bundles or
instantons and their application. Covers a broad array of topics in
both differential and algebraic geometry."

Presents a compendium of papers selected from the Europroj
conferences held in Catania and Barcelona. The text contains
research in algebraic geometry with emphasis on classification
problems, and in particular studies on the structure of moduli
spaces of vector bundles, and on the classification of curves and
surfaces.

This book is a course in general topology, intended for students in
the first year of the second cycle (in other words, students in
their third univer- sity year). The course was taught during the
first semester of the 1979-80 academic year (three hours a week of
lecture, four hours a week of guided work). Topology is the study
of the notions of limit and continuity and thus is, in principle,
very ancient. However, we shall limit ourselves to the... more...

This book describes, by using elementary techniques, how some
geometrical structures widely used today in many areas of physics,
like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from
dynamics. It is assumed that what can be accessed in actual
experiences when studying a given system is just its
dynamical behavior that is described by using a family of
variables ("observables" of the system). The book departs from the
principle... more...

The book is an innovative modern exposition of geometry, or rather,
of geometries; it is the first textbook in which Felix Klein's
Erlangen Program (the action of transformation groups) is
systematically used as the basis for defining various geometries.
The course of study presented is dedicated to the proposition that
all geometries are created equal--although some, of course, remain
more equal than others. The author concentrates on several of the... more...

Based on the conference/workshop on Continuum Theory and Dynamical
Systems held in Lafayette, Louisiana, this reference illustrates
the current expansion of knowledge on the relationship between
these subjects. It presents new problems in hyperspaces, induced
maps, universal maps, fixed-point sets, disconnected numbers and
quotient maps.;Explaining the definitions and techniques used in
the two fields and providing results from both areas, this... more...

Blow-up for Higher-Order Parabolic, Hyperbolic,
Dispersion and Schrödinger Equations shows how four
types of higher-order nonlinear evolution partial differential
equations (PDEs) have many commonalities through their special
quasilinear degenerate representations. The authors present a
unified approach to deal with these quasilinear PDEs.
The book first studies the particular self-similar singularity
solutions (patterns) of the... more...