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- Princeton University Press 2014; US$ 29.95
There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application... more...
- Princeton University Press 2014; US$ 29.95
The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, since the infinitesimal action of a Lie algebra consists of differential operators. Hence, it is possible to attach geometric invariants, like the support and the characteristic variety, to representations... 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...
- Taylor and Francis 2014; US$ 69.95
This text provides a one-semester introduction to transformational geometry based on Klein?s Erlangen Program, which offers an alternative to Euclid?s axiomatic/synthetic approach. The authors consider two families of transformations: isometries (distance-preserving transformations), including the translations, rotations, reflections, and glide reflections;... more...
- Princeton University Press 2012; US$ 78.50
Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results, it will become an essential resource for graduate... more...
- McGraw-Hill Education 2011; US$ 20.00
A new ANGLE to learning GEOMETRY Trying to understand geometry but feel like you're stuck in another dimension? Here's your solution. Geometry Demystified , Second Edition helps you grasp the essential concepts with ease. Written in a step-by-step format, this practical guide begins with two dimensions, reviewing points, lines, angles, and... more...
- Springer 2009; US$ 49.95
This is the first part of the 2-volume textbook 'Geometry' which provides a very readable and lively presentation of large parts of geometry in the classical sense. An attractive characteristic of the book is that it appeals systematically to the reader's intuition and vision, and illustrates the mathematical text with many figures. For... more...
- World Scientific Publishing Company 2006; US$ 193.00
Shiing-Shen Chern (1911–2004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute of Academia Sinica in Shanghai, which was later moved to Nanking. In 1981, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley and acted as the director until 1984. In 1985,... more...
- 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...
- World Scientific Publishing Company 2006; US$ 128.00
Geometry, Language and Strategy is a way of looking at game theory or strategic decision-making from a scientific perspective, using standard equations from the fields of engineering and physics. To better approximate reality, it extends game theory beyond the two-player set piece. The book begins where former game theory literature ends — with... more...