### Buildings and Schubert Schemes

The first part of this book introduces the Schubert Cells and varieties of the general linear group Gl (k^(r+1)) over a field k according to Ehresmann geometric way. Smooth resolutions for these varieties are constructed in terms of Flag Configurations in k^(r+1) given by linear graphs called…

Hardback – 2016-10-15

CRC Press### Actions and Invariants of Algebraic Groups, Second Edition

This book provides an introduction to geometric invariant theory by providing the reader with the tools needed to read the research in this field. Beginning with commutative algebra and algebraic geometry, the book develops the necessary background of affine algebra over an algebraically closed…

Hardback – 2016-09-30

Chapman and Hall/CRC*Monographs and Research Notes in Mathematics*### Introduction to Abelian Model Structures and Gorenstein Homological Dimensions

Introduction to Abelian Model Structures and Gorenstein Homological Dimensions provides a starting point to study the relationship between homological and homotopical algebra, a very active branch of mathematics. The book shows how to obtain new model structures in homological algebra by…

Hardback – 2016-08-17

Chapman and Hall/CRC*Monographs and Research Notes in Mathematics*### Algebraic Operads

#### An Algorithmic Companion

Algebraic Operads: An Algorithmic Companion presents a systematic treatment of Gröbner bases in several contexts. The book builds up to the theory of Gröbner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas in algebra.…

Hardback – 2016-04-05

Chapman and Hall/CRC### Algebras, Rings and Modules

#### Non-commutative Algebras and Rings

The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis,…

Hardback – 2016-01-26

CRC Press### Introduction to Number Theory, 2nd Edition

Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves,…

Hardback – 2015-12-01

Chapman and Hall/CRC*Textbooks in Mathematics*### Mathematical Foundations of Public Key Cryptography

In Mathematical Foundations of Public Key Cryptography, the authors integrate the results of more than 20 years of research and teaching experience to help students bridge the gap between math theory and crypto practice. The book provides a theoretical structure of fundamental number theory and…

Hardback – 2015-10-21

CRC Press### Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition

Updated to reflect current research, Algebraic Number Theory and Fermat’s Last Theorem, Fourth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics—the quest for a proof of Fermat’s Last Theorem. The authors use this…

Hardback – 2015-10-13

Chapman and Hall/CRC### Semialgebraic Statistics and Latent Tree Models

Semialgebraic Statistics and Latent Tree Models explains how to analyze statistical models with hidden (latent) variables. It takes a systematic, geometric approach to studying the semialgebraic structure of latent tree models. The first part of the book gives a general introduction to key…

Hardback – 2015-08-21

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Cremona Groups and the Icosahedron

Cremona Groups and the Icosahedron focuses on the Cremona groups of ranks 2 and 3 and describes the beautiful appearances of the icosahedral group A5 in them. The book surveys known facts about surfaces with an action of A5, explores A5-equivariant geometry of the quintic del Pezzo threefold V5,…

Hardback – 2015-08-21

Chapman and Hall/CRC*Monographs and Research Notes in Mathematics*### Handbook of Enumerative Combinatorics

Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today’s most prominent researchers. The contributors survey the methods of combinatorial enumeration along with the most frequent applications of these methods.This important new work is edited by…

Hardback – 2015-03-24

Chapman and Hall/CRC*Discrete Mathematics and Its Applications*### Galois Theory, Fourth Edition

Since 1973, Galois Theory has been educating undergraduate students on Galois groups and classical Galois theory. In Galois Theory, Fourth Edition, mathematician and popular science author Ian Stewart updates this well-established textbook for today’s algebra students. New to the Fourth Edition…

Paperback – 2015-03-06

Chapman and Hall/CRC