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- World Scientific Publishing Company 2014; US$ 150.00
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...
- 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$ 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...
- 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...
- 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...
- De Gruyter 2015; US$ 630.00
This book is an introduction to the arithmetic of complex numbers, and explains their role in solving equations in both plane and non-Euclidean geometry. Exercises with solutions are included in every chapter and the textbook is rounded out with an appendix on calculating with complex numbers and conformal transformations in MAPLE and Cinderella. 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...
- Elsevier Science 2014; US$ 72.95
Machine Intelligence and Pattern Recognition, Volume 2: Computational Geometry focuses on the operations, processes, methodologies, and approaches involved in computational geometry, including algorithms, polygons, convex hulls, and bucketing techniques. The selection first ponders on optimal parallel algorithms for selection, sorting, and computing... more...
- Dover Publications 2012; US$ 15.95
This excellent introduction to topology eases first-year math students and general readers into the subject by surveying its concepts in a descriptive and intuitive way, attempting to build a bridge from the familiar concepts of geometry to the formalized study of topology. The first three chapters focus on congruence classes defined by transformations... more...