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A brief but self-contained exposition of the basics of Riemann
surfaces and theta functions prepares the reader for the main
subject of this text, namely the application of these theories to
solving nonlinear integrable equations for various physical
systems. Physicists and engineers involved in studying solitons,
phase transitions, or dynamical (gyroscopic) systems, and
mathematicians with some background in algebraic geometry and
abelian and... more...

Presents 18 research papers on algebraic geometry, algebraic number
theory and algebraic groups. Two summarized surveys on Arthur's
invariant trace formula and the representation theory of quantum
linear groups by K.F. Lai and Jian-Pan Wang respectively are
included.

Algebraic geometry plays an important role in several branches of
science and technology. This is the last of three volumes by Kenji
Ueno algebraic geometry. This, in together with Algebraic Geometry
1 and Algebraic Geometry 2, makes an excellent textbook for a
course in algebraic geometry.
In this volume, the author goes beyond introductory notions and
presents the theory of schemes and sheaves with the goal of
studying the properties necessary... more...

Contains sections on Structure of topological manifolds, Low
dimensional manifolds, Geometry of differential manifolds and
algebraic varieties, $H$-spaces, loop spaces and $CW$ complexes,
Problems.

From the reviews:
"…All of Weil’s works except for books and lecture notes are
compiled here, in strict chronological order for easy reference.
But the value … goes beyond the convenience of easy reference and
accessibility. In the first place, these volumes contain several
essays, letters, and addresses which were either published in
obscure places (…) or not published at all.
Even more valuable are the lengthy... more...

This book deals with the theory of convex and starlike
biholomorphic mappings in several complex variables. The underlying
theme is the extension to several complex variables of geometric
aspects of the classical theory of univalent functions. This is the
first book which systematically studies this topic. It gathers
together, and presents in a unified manner, the current state of
affairs for convex and starlike biholomorphic mappings in several... more...

4. 1 Bergman-Toeplitz Operators Over Bounded Domains 242 4. 2
Hardy-Toeplitz Operators Over Strictly Domains Pseudoconvex 250
Groupoid C* -Algebras 4. 3 256 4. 4 Hardy-Toeplitz Operators Over
Tubular Domains 267 4. 5 Bergman-Toeplitz Operators Over Tubular
Domains 278 4. 6 Hardy-Toeplitz Operators Over Polycircular Domains
284 4. 7 Bergman-Toeplitz Operators Over Polycircular Domains 290
4. 8 Hopf C* -Algebras 299 4. 9 Actions and Coactions on C*... more...

The development of dynamics theory began with the work of Isaac
Newton. In his theory the most basic law of classical mechanics is
f = ma, which describes the motion n in IR. of a point of mass m
under the action of a force f by giving the acceleration a. If n
the position of the point is taken to be a point x E IR. , and if
the force f is supposed to be a function of x only, Newton's Law is
a description in terms of a second-order ordinary... more...