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- World Scientific Publishing Company 2001; US$ 154.00
This book provides, for use in a graduate course or for self-study by graduate students, a well-motivated treatment of several topics, especially the following: (1) algebraic treatment of several complex variables; (2) geometric approach to algebraic geometry via analytic sets; (3) survey of local algebra; (4) survey of sheaf theory. The book has been... more...
- Springer 2014; US$ 39.99
Dieses Lehrbuch bietet eine Einfuhrung in die Differentialgeometrie auf Faserbundeln. Nach einem Kapitel uber Lie-Gruppen und homogene Raume werden lokal-triviale Faserungen, insbesondere die Hauptfaserbundel und zu ihnen assoziierte Vektorbundel, besprochen. Es folgen die grundlegenden Begriffe der Differentialrechnung auf Faserbundeln: Zusammenhang,... more...
- Princeton University Press 2014; US$ 50.50
Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author's lectures and seminars in Berkeley and Japan, is written for researchers and graduate... more...
- World Scientific Publishing Company 2014; US$ 140.00
A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential function is maximized, or minimized. For example, the Hamiltonian mechanics, soapy films, size of an atom, business management, etc. In mathematics, a point where a given function attains an extreme value is called a critical point,... more...
- Princeton University Press 2014; US$ 83.95
The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities.... more...
- Springer 2014; US$ 29.99
The aim of the book is to study some aspects of geometric evolutions, such as mean curvature flow and anisotropic mean curvature flow of hypersurfaces. We analyze the origin of such flows and their geometric and variational nature. Some of the most important aspects of mean curvature flow are described, such as the comparison principle and its use... more...
- Springer 2014; US$ 54.99
This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and their computation, including the theory of persistence... more...
- Taylor and Francis 2015; US$ 60.00
Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding... more...
- Cambridge University Press 1985; US$ 88.00
This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of... more...