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This international bestseller, which foreshadowed a market crash, explains why it could happen again A self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry.

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Provides a working knowledge of tools that are of great value in geometry and physics and in Popular undergraduate textbook revealing the beauty of geometry. Second edition includes chapter summaries, tougher exercises and an online Instructors' Manual. Second edition includes chapter A new edition of a classic textbook on complex analysis with an emphasis on translating visual intuition to rigorous proof. A new edition of a classic textbook on complex analysis with an emphasis on translating visual Toggle navigation.

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Last 90 days. All time. English Only. Cambridge University Press Add to Cart Add to Cart. Add to Wishlist Add to Wishlist. View More. Riemannian Geometry 2nd ed. A Modern Introduction Isaac Chavel. Rolf Schneider. The first part is concerned with hyperbolic geometry and discrete groups.

Pdf Fundamentals Of Hyperbolic Manifolds Selected Expositions

The main results are the characterization of hyperbolic reflection groups and Euclidean crystallographic groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. The exposition if at the level of a second year graduate student with particular emphasis placed on readability and completeness of argument. After reading this book, the reader will have the necessary background to study the current research on hyperbolic manifolds.

The second edition is a thorough revision of the first edition that embodies hundreds of changes, corrections, and additions, including over sixty new lemmas, theorems, and corollaries. Every chapter is followed by historical notes, with attributions to the relevant literature, both of the originators of the idea present in the chapter and of modern presentation thereof. The bibliography contains entries. JavaScript is currently disabled, this site works much better if you enable JavaScript in your browser. Graduate Texts in Mathematics Free Preview. Show next edition.

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About this Textbook This book is an exposition of the theoretical foundations of hyperbolic manifolds. John G. Ratcliffe is a Professor of Mathematics at Vanderbilt University.


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