Chapman & Hall/CRC Monographs and Research Notes in Mathematics
About the Book Series
This series is designed to capture new developments and summarize what is known over the entire field of mathematics, both pure and applied. It will include a broad range of monographs and research notes on current and developing topics that will appeal to academics, graduate students, and practitioners. Interdisciplinary books appealing not only to the mathematical community, but also to engineers, physicists, and computer scientists are encouraged.
This series will maintain the highest editorial standards, publishing well-developed monographs as well as research notes on new topics that are final, but not yet refined into a formal monograph. The notes are meant to be a rapid means of publication for current material where the style of exposition reflects a developing topic.
Monomial Algebras
2nd Edition
By Rafael H. Villarreal
March 12, 2018
Monomial Algebras, Second Edition presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, ...
Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications
1st Edition
By Daniele Bertaccini, Fabio Durastante
February 28, 2018
This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the...
Lineability: The Search for Linearity in Mathematics
1st Edition
By Richard M. Aron, Luis Bernal-Gonzalez, Daniel M. Pellegrino, Juan B. Seoane Sepulveda
February 13, 2018
Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in ...
Integration and Cubature Methods: A Geomathematically Oriented Course
1st Edition
By Willi Freeden, Martin Gutting
November 27, 2017
In industry and economics, the most common solutions of partial differential equations involving multivariate numerical integration over cuboids include techniques of iterated one-dimensional approximate integration. In geosciences, however, the integrals are extended over potato-like volumes (such...
Mathematical Modelling of Waves in Multi-Scale Structured Media
1st Edition
By Alexander B. Movchan, Natasha V. Movchan, Ian S. Jones, Daniel J. Colquitt
November 08, 2017
Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling...
Nonlinear Reaction-Diffusion-Convection Equations: Lie and Conditional Symmetry, Exact Solutions and Their Applications
1st Edition
By Roman Cherniha, Mykola Serov, Oleksii Pliukhin
October 19, 2017
It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and ...
Optimization and Differentiation
1st Edition
By Simon Serovajsky
October 13, 2017
Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal ...
Willmore Energy and Willmore Conjecture
1st Edition
Edited
By Magdalena D. Toda
October 13, 2017
This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus...
Computation with Linear Algebraic Groups
1st Edition
By Willem Adriaan de Graaf
August 11, 2017
Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms. Computation with...
Noncommutative Deformation Theory
1st Edition
By Eivind Eriksen, Olav Arnfinn Laudal, Arvid Siqveland
April 25, 2017
Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry. This book introduces a general theory of noncommutative deformations, with applications to the study of moduli spaces of representations of associative ...
Spectral and Scattering Theory for Second Order Partial Differential Operators
1st Edition
By Kiyoshi Mochizuki
April 24, 2017
The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half of this book, the classical results of ...
Elements of Quasigroup Theory and Applications
1st Edition
By Victor Shcherbacov
March 17, 2017
Understanding Interaction is a book that explores the interaction between people and technology, in the broader context of the relations between the human made and the natural environments. It is not just about digital technologies – our computers, smart phones, the Internet – but all our ...