From the Preface: "We have preferred to write a self-contained book which could be used in a basic graduate course of modern algebra. It is also with an eye to the student that we have tried to give full and detailed explanations in the proofs... We have also tried, this time with an eye to both the student and the mature mathematician, to give a many-sided treatment of our topics, not hesitating to offer several proofs of one and the same result when we thought that something might be learned, as to methods, from each of the proofs."

Commutative Algebra I (Graduate Texts in Mathematics, 28)

Science & Math

Zariski, Oscar

Samuel, Pierre

Mathematics

Springer

The purpose of this book is to revive some of the beautiful results obtained by various geometers of the 19th century, and to give its readers a taste of concrete algebraic geometry. A good deal of space is devoted to cross-ratios, conics, quadrics, and various interesting curves and surfaces. The fundamentals of projective geometry are efficiently dealt with by using a modest amount of linear algebra. An axiomatic characterization of projective planes is also given. While the topology of projective spaces over real and complex fields is described, and while the geometry of the complex projective libe is applied to the study of circles and Möbius transformations, the book is not restricted to these fields. Interesting properties of projective spaces, conics, and quadrics over finite fields are also given. This book is the first volume in the Readings in Mathematics sub-series of the UTM. From the reviews: "...The book of P. Samuel thus fills a gap in the literature. It is a little jewel. Starting from a minimal background in algebra, he succeeds in 160 pages in giving a coherent exposition of all of projective geometry. ... one reads this book like a novel. " D.Lazard in Gazette des Mathématiciens#1

Projective Geometry (Undergraduate Texts in Mathematics)

A precise, fundamental study of commutative algebra, this largely self-contained treatment is the first in a two-volume set. Intended for advanced undergraduates and graduate students in mathematics, its prerequisites are the rudiments of set theory and linear algebra, including matrices and determinants. The opening chapter develops introductory notions concerning groups, rings, fields, polynomial rings, and vector spaces. Subsequent chapters feature an exposition of field theory and classical material concerning ideals and modules in arbitrary commutative rings, including detailed studies of direct sum decompositions. The final two chapters explore Noetherian rings and Dedekind domains. This work prepares readers for the more advanced topics of Volume II, which include valuation theory, polynomial and power series rings, and local algebra.

Commutative Algebra: Volume I (Dover Books on Mathematics)

Dover Publications

<div>The second text in this two-book&nbsp;series extends the classical material of Volume I, which focuses on field theory and the ideal theory of Noetherian rings and Dedekind domains. The connection of Volume II's material to algebraic geometry is stressed throughout the presentation, making this book a practical introduction to some basic concepts and the arithmetical foundations of algebraic geometry. The opening chapter deals with properties of places and is followed by a chapter that explores the classical properties of polynomial and power series rings and their applications to algebraic geometry. The final chapter examines the theory of local rings, which provides the algebraic basis for the local study of algebraic and analytical varieties. Several helpful Appendixes conclude the text.</div>

Commutative Algebra: Volume II (Dover Books on Mathematics)

Commutative Algebra, V1

Literature & Fiction

Literary

Literary Licensing, LLC

Commutative Algebra, V2

The hunt is on! Join the Sensational Six as they run, leap, and fly, in search of Pluto's lost ball. Young readers will have fun using the included Toodles wheel to choose the correct Mouseketool for each obstacle that the friends face on their search. MICKEY MOUSE CLUBHOUSE IS HUGE!: The premiere of Mickey Mouse Clubhouse delivered the highest ratings ever for a Playhouse Disney series premiere among Kids 2-5, Girls 2-5,Households, and Total Viewers. It also premiered at #1 among all basic cable networks in its time period for Kids 2-5. Mickey Mouse Clubhouse shows no signs of slowing down as it settles in to its first season. It is the number one show among preschoolers!

Children's Books

Théorie algébrique des nombres (HR.METHODES) (French Edition)

Essays & Commentary

Hermann Glassin

Commutative Algebra II (Graduate Texts in Mathematics Vol. 29)

Reference

Foreign Language Study & Reference

Springer-Verlag Berlin Heidelberg

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