Commutative Algebra through Exercises: 159 (UNITEXT, 159) - Image 1

£45.08

Springer Commutative Algebra through Exercises: 159 (UNITEXT, 159)

Name: Commutative Algebra through Exercises: 159 (UNITEXT, 159)
Brand: Springer
Price: 49.46 GBP
Availability: InStock

Algebra

Price History & Forecast

Last 28 days • 28 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 28 days • 3 price levels

Days at Price

Current Price

Price Analysis

Most common price: £45 (24 days, 85.7%)

Price range: £45 - £49

Price levels: 3 different prices over 28 days

Description

This book provides a first introduction to the fundamental concepts of commutative algebra. What sets it apart from other textbooks is the extensive collection of 400 solved exercises, providing readers with the opportunity to apply theoretical knowledge to practical problem solving, fostering a deeper and more thorough understanding of the subject. The topics presented here are not commonly found in a single text. Consequently, the first part presents definitions, properties, and results crucial for understanding and solving the exercises, serving also as a valuable reference. The second part contains the exercises and a section titled with "True or False?" questions, which serves as a valid self-assessment test. Considerable effort has been invested in crafting solutions that provide the essential details, aiming for a well-balanced presentation. We intend to guide students systematically through the challenging process of writing mathematical proofs with formal correctness and clarity. Our approach is constructive, aiming to illustrate concepts by applying them to the analysis of multivariate polynomial rings and modules over a principal ideal domain (PID) whenever feasible. Algorithms for computing these objects facilitate the generation of diverse examples. In particular, the structure of finitely generated modules over a PID is analyzed using the Smith canonical form of matrices. Furthermore, various properties of polynomial rings are investigated through the application of Buchberger’s Algorithm for computing Gröbner bases. This book is intended for advanced undergraduates or master’s students, assuming only basic knowledge of finite fields, Abelian groups, and linear algebra. This approach aims to inspire the curiosity of readers and encourages them to find their own proofs while providing detailed solutions to support their learning. It also provides students with the necessary tools to pursue more advanced studies in commutative algebra and related subjects.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 3031569091
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 13 July 2024
Listed Since: 17 February 2024

Barcode

No barcode data available

Springer Commutative Algebra through Exercises: 159 (UNITEXT, 159)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

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

Combinatorial Algebra: Syntax and Semantics (Springer Monographs in Mathematics)

Noncommutative Algebra: 144 (Graduate Texts in Mathematics, 144)

Basic Commutative Algebra

A First Course in Noncommutative Rings: 131 (Graduate Texts in Mathematics, 131)

Commutative Algebra (Graduate Texts in Mathematics, 309)

Exercises in Modules and Rings (Problem Books in Mathematics)

Integers, Polynomials, and Rings: A Course in Algebra (Undergraduate Texts in Mathematics)

Ideals and Reality: Projective Modules and Number of Generators of Ideals (Springer Monographs in Mathematics)

Rings, Polynomials, and Modules

Noncommutative Algebra: 144 (Graduate Texts in Mathematics, 144)

From Rings and Modules to Hopf Algebras: One Flew Over the Algebraist's Nest

Exercises in Basic Ring Theory: 20 (Texts in the Mathematical Sciences, 20)

Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)

Abstract Algebra: An Introduction to Groups, Rings and Fields: INTRO TO GROUP, RING..

Springer Computational Invariant Theory: 130 Mathematics Book

A Concrete Introduction to Higher Algebra (Undergraduate Texts in Mathematics)

Abstract Algebra: An Introduction To Groups, Rings And Fields: INTRO TO GROUP, RING..

Commutative Algebra (Graduate Studies in Mathematics)

(Mostly) Commutative Algebra (Universitext)

Graded Syzygies: 14 (Algebra and Applications, 14)

Foundations of Commutative Rings and Their Modules: 22 (Algebra and Applications, 22)

Basic Algebraic Geometry (Springer Study Edition)

Undergraduate Algebra (Undergraduate Texts in Mathematics)