Book Details
Format
Paperback
Pages
352
Language
English
Published
Nov 13, 2019
Publisher
Dover Publications
Edition
2019
ISBN-10
0486836614
ISBN-13
9780486836614
Description
This volume delves into the fundamental aspects of commutative algebra, a crucial area in modern mathematics that deals with the study of commutative rings and their ideals. Zariski and Samuel, both respected figures in the field, provide a comprehensive foundation that is essential not only for theorists but also for applications in algebraic geometry and number theory.
Throughout the book, readers encounter a rich tapestry of concepts, beginning with the basic properties of rings and ideals, leading into more complex structures like local rings and integral extensions. The authors emphasize clarity in their explanations, making intricate topics accessible to a broad audience while maintaining a rigorous mathematical standard.
As the first part of a comprehensive series, it sets the stage for more advanced explorations into commutative algebra, paving the way for further discussion on modules, dimensions, and polynomial rings. Each chapter builds on the previous one, encouraging readers to develop their analytical skills and deepen their understanding of algebraic principles.
Designed for advanced students and researchers, this work stands as a cornerstone in the study of commutative algebra. It invites mathematicians of all levels to engage with its content, stimulating inquiry and fostering a deeper appreciation for the elegance of algebraic structures.
Throughout the book, readers encounter a rich tapestry of concepts, beginning with the basic properties of rings and ideals, leading into more complex structures like local rings and integral extensions. The authors emphasize clarity in their explanations, making intricate topics accessible to a broad audience while maintaining a rigorous mathematical standard.
As the first part of a comprehensive series, it sets the stage for more advanced explorations into commutative algebra, paving the way for further discussion on modules, dimensions, and polynomial rings. Each chapter builds on the previous one, encouraging readers to develop their analytical skills and deepen their understanding of algebraic principles.
Designed for advanced students and researchers, this work stands as a cornerstone in the study of commutative algebra. It invites mathematicians of all levels to engage with its content, stimulating inquiry and fostering a deeper appreciation for the elegance of algebraic structures.