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Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics, Vol. 23)

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Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects.

Many of the tools used in differential topology are introduced and the basic results about differentiable manifolds, smooth maps, differential forms, vector fields, Lie groups, and Grassmanians are all presented here. Other material covered includes the basic theorems about geodesics and Jacobi fields, the classification theorem for flat connections, the definition of characteristic classes, and also an introduction to complex and Kahler geometry.

Differential Geometry uses many of the classical examples from, and applications of, the subjects it covers, in particular those where closed form expressions are available, to bring abstract ideas to life. Helpfully, proofs are offered for almost all assertions throughout. All of the introductory material is presented in full and this is the only such source with the classical examples presented in detail.

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Machine Learning and Data Mining in Aerospace Technology (Studies in Computational Intelligence)
Machine Learning and Data Mining in Aerospace Technology (Studies in Computational Intelligence)
This book explores the main concepts, algorithms, and techniques of Machine Learning and data mining for aerospace technology. Satellites are the ‘eagle eyes’ that allow us to view massive areas of the Earth simultaneously, and can gather more data, more quickly, than tools on the ground. Consequently, the...
Java 2 Game Programming (The Premier Press Game Development Series)
Java 2 Game Programming (The Premier Press Game Development Series)
With the power of today's personal computer, game developers no longer need to rely on low-level "tricks" to write computer games. Increasingly, object-oriented programming languages, such as Java, are being used to create cutting-edge games. "Java 2 Game Programming" gives you an inside look at how Java can be used to create...
Unconventional Computation: 7th International Conference, UC 2008, Vienna, Austria, August 25-28, 2008, Proceedings
Unconventional Computation: 7th International Conference, UC 2008, Vienna, Austria, August 25-28, 2008, Proceedings
This book constitutes the refereed proceedings of the 7th International Conference on Unconventional Computation, UC 2008, held in Vienna, Austria, in August 2008.

The 16 revised full papers presented together with 4 invited papers were carefully reviewed and selected for inclusion in the book. The papers are devoted to all aspects of...


Beginning Game Graphics (Premier Press Game Development)
Beginning Game Graphics (Premier Press Game Development)
In the distant past, almost all great games were born and bred in the back bedroom. Creativity, and sometimes outright wackiness, reigned supreme. Then, not so long ago, the game business began to look a little more like Hollywood each year. If you couldn’t afford a high-end machine with high-end hardware, speak C like a second language, and...
Designing Human Interface in Speech Technology
Designing Human Interface in Speech Technology
Designing Human Interface in Speech Technology bridges a gap between the needs of the technical engineer and cognitive researchers working in the multidisciplinary area of speech technology applications. The approach is systematic and the focus is on the utility of developing and designing speech related products....
Statistics and Data with R: An applied approach through examples
Statistics and Data with R: An applied approach through examples
R, an Open Source software, has become the de facto statistical computing environment. It has an excellent collection of data manipulation and graphics capabilities. It is extensible and comes with a large number of packages that allow statistical analysis at all levels – from simple to advanced – and in numerous fields...
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