The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics, 229)

First textbook-level account of basic examples and techniques in this area. Suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. David Eisenbud is a well-known mathematician and current president of the American Mathematical Society, as well as a successful Springer author.

Business & Money

Eisenbud, David

Management & Leadership

Springer

Algebraic Geometry often seems very abstract, but in fact it is full of concrete examples and problems. This side of the subject can be approached through the equations of a variety, and the syzygies of these equations are a necessary part of the study. This book is the first textbook-level account of basic examples and techniques in this area. It illustrates the use of syzygies in many concrete geometric considerations, from interpolation to the study of canonical curves. The text has served as a basis for graduate courses by the author at Berkeley, Brandeis, and in Paris. It is also suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. As an aid to the reader, an appendix provides a summary of commutative algebra, tying together examples and major results from a wide range of topics.

Science & Math

Mathematics

During the last 30 years, many chemical compounds that are active against tumors have been discovered or developed. At the same time, new methods of testing drugs for cancer therapy have evolved. nefore 1964, drug testing on animal tumors was directed to observation of the incfease in life span of the host after a single dose. A new approach, in which the effects of multiple doses on the proliferation kinetics of the tumor in vivo as well as of cell lines in vitro are investigated, has been outlined by Skipper and his co-workers in a series of papers beginning in 1964 (Skipper, Schabel and Wilcox, 1964 and 1965). They also investigated the influence of the time schedule in the treatment of experimental tumors. Since the publication of those studies, cell population kinetics cannot be left out of any discussion of the rational basis of chemotherapy. When clinical oncologists began to apply cell kinetic concepts in practice about 15 years ago, the theoretical basis was still very poor, in spite of Skipper's progress, and the lack of re levant cytokinetic and pharmacologic data was apparent. Subsequently, much theoretical work has been done and many cell kinetic models have been elaborated (for a review see Eisen, 1977).

The Geometry of Syzygies (Lecture Notes in Biomathematics)

This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.

Commutative Algebra: with a View Toward Algebraic Geometry (Graduate Texts in Mathematics, 150)

The Geometry of Schemes (Graduate Texts in Mathematics, 197)

Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.

Harris, Joe

This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing.Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms.

Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 (Annals of Mathematics Studies, 110)

Neumann, Walter D.

Princeton University Press

This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing.
 Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms.

Three-Dimensional Link Theory and Invariants of Plane Curve Singularities (Annals of Mathematics Studies)

Handbook on the technical aspects of dialysis access, for medical students, residents, nephrologists, and dialysis nurses. Discusses indications, hemodialysis, preoperative evaluation, peritoneal dialysis, and more. Plastic-spiral binding.

The Handbook of Dialysis Access

Medical Books

Nursing

A N A D E M Inc

See the best price to sell, buy, or rent books by Eisenbud, David. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Eisenbud, David

See the best price to sell, buy, or rent books by Eisenbud, David. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics, 229)

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics, 229)

The Geometry of Syzygies (Lecture Notes in Biomathematics)

Commutative Algebra: with a View Toward Algebraic Geometry (Graduate Texts in Mathematics, 150)

Commutative Algebra: with a View Toward Algebraic Geometry (Graduate Texts in Mathematics, 150)

The Geometry of Schemes (Graduate Texts in Mathematics, 197)

The Geometry of Schemes (Graduate Texts in Mathematics, 197)

Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 (Annals of Mathematics Studies, 110)

Three-Dimensional Link Theory and Invariants of Plane Curve Singularities (Annals of Mathematics Studies)

The Handbook of Dialysis Access