Selected Works of Phillip A. Griffiths with Commentary
Selected Works of Phillip A. Griffiths with Commentary

Author: Phillip Griffiths

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 816

ISBN-13: 9780821820872

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Containing four parts such as Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems that are organized according to the subject matter, this title provides the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.

Collected Papers of John Milnor
Collected Papers of John Milnor

Author: John Willard Milnor

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 323

ISBN-13: 0821848755

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This volume contains papers of one of the best modern geometers and topologists, John Milnor, on various topics related to the notion of the fundamental group. The volume contains sixteen papers divided into four parts: Knot theory, Free actions on spheres, Torsion, and Three-dimensional manifolds. Each part is preceded by an introduction containing the author's comments on further development of the subject. Although some of the papers were written quite a while ago, they appear more modern than many of today's publications. Milnor's excellent, clear, and laconic style makes the book a real treat. This volume is highly recommended to a broad mathematical audience, and, in particular, to young mathematicians who will certainly benefit from their acquaintance with Milnor's mode of thinking and writing.

Mathematics as Metaphor
Mathematics as Metaphor

Author: I͡U. I. Manin

Publisher: American Mathematical Soc.

Published: 2007

Total Pages: 258

ISBN-13: 0821843311

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Includes essays that are grouped in three parts: Mathematics; Mathematics and Physics; and, Language, Consciousness, and Book reviews. This book is suitable for those interested in the philosophy and history of mathematics, physics, and linguistics.

Introduction to Algebraic Curves
Introduction to Algebraic Curves

Author: Phillip A. Griffiths

Publisher: American Mathematical Soc.

Published: 1989

Total Pages: 225

ISBN-13: 9780821845370

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This book differs from a number of recent books on this subject in that it combines analytic and geometric methods at the outset, so that the reader can grasp the basic results of the subject. Although such modern techniques of sheaf theory, cohomology, and commutative algebra are not covered here, the book provides a solid foundation to proceed to more advanced texts in general algebraic geometry, complex manifolds, and Riemann surfaces, as well as algebraic curves. Containing numerous exercises this book would make an excellent introductory text.

Principles of Algebraic Geometry
Principles of Algebraic Geometry

Author: Phillip Griffiths

Publisher: John Wiley & Sons

Published: 2014-08-21

Total Pages: 837

ISBN-13: 111862632X

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A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.