Monomial Ideals (Graduate Texts in Mathematics) by Jürgen Herzog (Author)

Publisher: MATHEMATICS

Availability: In Stock
SKU: 49239
Number of Pages: 321

Rs.720.00

Rs.1,050.00

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Description

"Monomial Ideals," authored by Jürgen Herzog and Takayuki Hibi, stands as a cornerstone in the realm of algebraic geometry and commutative algebra, particularly focusing on the intricate study of monomial ideals. This graduate-level text meticulously explores the fundamental theory and advanced applications of monomial ideals within a rigorous mathematical framework. Herzog and Hibi, both esteemed scholars in the field, bring decades of collective expertise to elucidate the complexities of these ideals, which play a pivotal role in diverse areas such as computational algebra, combinatorics, and algebraic statistics.

The book begins by establishing foundational concepts, detailing the algebraic structures underlying monomial ideals and their associated combinatorial properties. It progresses systematically through the classification of monomial ideals, exploring their connections to lattice polytopes and convex geometry. The authors delve into the computational aspects, offering algorithms and methodologies for effective computation and manipulation of monomial ideals. Throughout the text, emphasis is placed on both theoretical insights and practical applications, making it an indispensable resource for researchers, graduate students, and mathematicians interested in exploring the depth and breadth of monomial ideals.

Key Points:

Comprehensive coverage of foundational theories and advanced applications in monomial ideals.
Authors are leading experts, ensuring depth and clarity in exposition.
Includes connections to diverse fields such as combinatorics and algebraic geometry.
Emphasis on computational techniques and algorithms relevant to monomial ideals.
Suitable for graduate-level study and as a reference for researchers.
Provides insights into both theoretical developments and practical applications in the field.

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Writer ✤ Jürgen Herzog (Author), Takayuki Hibi (Author)

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