Series Editors:

- John A. Burns
*Virginia Polytechnic Institute and State University, Blacksburg, USA* - Thomas J. Tucker
*University of Rochester, New York, USA* - Miklos Bona
*University of Florida, Gainesville, USA* - Michael Ruzhansky
*Imperial College London, UK*

### Neutrices and External Numbers

#### A Flexible Number System, 1st Edition

Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations. The model is formulated in terms of scalar neutrices and external numbers, in the form of an extension of…

Hardback – 2019-08-15

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Analytic Methods for Coagulation-Fragmentation Models, Volume II

#### 1st Edition

Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of…

Hardback – 2019-07-15

CRC Press*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Analytic Methods for Coagulation-Fragmentation Models, Volume I & II

#### 1st Edition

Analytic Methods for Coagulation-Fragmentation Models is a two-volume that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of relevant…

Hardback – 2019-07-15

CRC Press*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Analytic Methods for Coagulation-Fragmentation Models, Volume I

#### 1st Edition

Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of…

Hardback – 2019-06-15

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Analysis on Function Spaces of Musielak-Orlicz Type

#### 1st Edition

Analysis on Function Spaces of Musielak-Orlicz Type provides a state-of-the-art survey on the theory of function spaces of Musielak-Orlicz type. The book also offers readers a step-by-step introduction to the theory of Musielak–Orlicz spaces, and introduces associated function spaces, extending up…

Hardback – 2018-12-13

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Sturm-Liouville Problems

#### Theory and Numerical Implementation, 1st Edition

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ordinary and partial differential equations. Sturm-Liouville Problems: Theory and Numerical…

Hardback – 2018-11-08

CRC Press*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Topological Methods for Differential Equations and Inclusions

#### 1st Edition

Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove…

Hardback – 2018-10-02

CRC Press*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Difference Equations

#### Theory, Applications and Advanced Topics, Third Edition, 3rd Edition

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of…

Paperback – 2018-04-09

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Elastic Waves

#### High Frequency Theory, 1st Edition

Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in…

Hardback – 2018-03-27

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Matrix Inequalities and Their Extensions to Lie Groups

#### 1st Edition

Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups. It is the first systematic work in the area and will appeal to linear algebraists…

Hardback – 2018-03-16

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Monomial Algebras

#### 2nd Edition

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,…

Paperback – 2018-03-12

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications

#### 1st Edition

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…

Hardback – 2018-02-28

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Lineability

#### The Search for Linearity in Mathematics, 1st Edition

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…

Paperback – 2018-02-13

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Integration and Cubature Methods

#### A Geomathematically Oriented Course, 1st Edition

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…

Hardback – 2017-11-27

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Mathematical Modelling of Waves in Multi-Scale Structured Media

#### 1st Edition

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…

Hardback – 2017-11-08

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Nonlinear Reaction-Diffusion-Convection Equations

#### Lie and Conditional Symmetry, Exact Solutions and Their Applications, 1st Edition

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…

Hardback – 2017-10-19

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Willmore Energy and Willmore Conjecture

#### 1st Edition

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…

Hardback – 2017-10-13

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Optimization and Differentiation

#### 1st Edition

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…

Hardback – 2017-10-13

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Variational-Hemivariational Inequalities with Applications

#### 1st Edition

This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors’ original results, it introduces a general fixed point principle and its…

Hardback – 2017-10-13

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Computation with Linear Algebraic Groups

#### 1st Edition

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…

Hardback – 2017-08-11

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Noncommutative Deformation Theory

#### 1st Edition

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…

Hardback – 2017-04-25

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Spectral and Scattering Theory for Second Order Partial Differential Operators

#### 1st Edition

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…

Hardback – 2017-04-24

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Elements of Quasigroup Theory and Applications

#### 1st Edition

This book provides an introduction to quasigroup theory along with new structural results on some of the quasigroup classes. Many results are presented with some of them from mathematicians of the former USSR. These included results have not been published before in the western mathematical…

Hardback – 2017-03-17

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Bounds for Determinants of Linear Operators and their Applications

#### 1st Edition

This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of…

Hardback – 2017-02-22

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Actions and Invariants of Algebraic Groups

#### 2nd Edition

Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an…

Hardback – 2016-12-20

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Symmetry and Quantum Mechanics

#### 1st Edition

Structured as a dialogue between a mathematician and a physicist, Symmetry and Quantum Mechanics unites the mathematical topics of this field into a compelling and physically-motivated narrative that focuses on the central role of symmetry. Aimed at advanced undergraduate and beginning graduate…

Hardback – 2016-12-01

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Iterative Methods without Inversion

#### 1st Edition

Iterative Methods without Inversion presents the iterative methods for solving operator equations f(x) = 0 in Banach and/or Hilbert spaces. It covers methods that do not require inversions of f (or solving linearized subproblems). The typical representatives of the class of methods discussed are…

Hardback – 2016-10-26

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Analytical Methods for Kolmogorov Equations

#### 2nd Edition

The second edition of this book has a new title that more accurately reflects the table of contents. Over the past few years, many new results have been proven in the field of partial differential equations. This edition takes those new results into account, in particular the study of nonautonomous…

Hardback – 2016-08-24

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

#### 1st Edition

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*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Finite Element Methods for Eigenvalue Problems

#### 1st Edition

This book covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level. The background for typical eigenvalue problems is included along with functional analysis tools, finite element…

Hardback – 2016-07-18

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Delay Differential Evolutions Subjected to Nonlocal Initial Conditions

#### 1st Edition

Filling a gap in the literature, Delay Differential Evolutions Subjected to Nonlocal Initial Conditions reveals important results on ordinary differential equations (ODEs) and partial differential equations (PDEs). It presents very recent results relating to the existence, boundedness, regularity,…

Hardback – 2016-06-20

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### A Concise Introduction to Geometric Numerical Integration

#### 1st Edition

Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy,…

Hardback – 2016-05-23

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Reconstruction from Integral Data

#### 1st Edition

Reconstruction of a function from data of integrals is used for problems arising in diagnostics, including x-ray, positron radiography, ultrasound, scattering, sonar, seismic, impedance, wave tomography, crystallography, photo-thermo-acoustics, photoelastics, and strain tomography. Reconstruction…

Hardback – 2016-05-02

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### The Truth Value Algebra of Type-2 Fuzzy Sets

#### Order Convolutions of Functions on the Unit Interval, 1st Edition

Type-2 fuzzy sets extend both ordinary and interval-valued fuzzy sets to allow distributions, rather than single values, as degrees of membership. Computations with these truth values are governed by the truth value algebra of type-2 fuzzy sets. The Truth Value Algebra of Type-2 Fuzzy Sets: Order…

Hardback – 2016-03-09

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Stochastic Cauchy Problems in Infinite Dimensions

#### Generalized and Regularized Solutions, 1st Edition

Stochastic Cauchy Problems in Infinite Dimensions: Generalized and Regularized Solutions presents stochastic differential equations for random processes with values in Hilbert spaces. Accessible to non-specialists, the book explores how modern semi-group and distribution methods relate to the…

Hardback – 2016-02-19

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Diagram Genus, Generators, and Applications

#### 1st Edition

In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("generators"). Diagram Genus, Generators and Applications presents a self-contained account of the canonical genus: the genus of knot diagrams. The author explores recent research on the…

Hardback – 2016-02-09

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Submanifolds and Holonomy

#### 2nd Edition

Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.…

Hardback – 2016-02-08

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Complex Analysis

#### Conformal Inequalities and the Bieberbach Conjecture, 1st Edition

Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture discusses the mathematical analysis created around the Bieberbach conjecture, which is responsible for the development of many beautiful aspects of complex analysis, especially in the geometric-function theory of univalent…

Hardback – 2015-12-22

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Special Integrals of Gradshteyn and Ryzhik

#### the Proofs - Volume II, 1st Edition

A Guide to the Evaluation of Integrals Special Integrals of Gradshetyn and Ryzhik: the Proofs provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. The book gives the most elementary arguments possible and uses…

Hardback – 2015-10-27

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Line Integral Methods for Conservative Problems

#### 1st Edition

Line Integral Methods for Conservative Problems explains the numerical solution of differential equations within the framework of geometric integration, a branch of numerical analysis that devises numerical methods able to reproduce (in the discrete solution) relevant geometric properties of the…

Hardback – 2015-10-26

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Computational Aspects of Polynomial Identities

#### Volume l, Kemer's Theorems, 2nd Edition, 2nd Edition

Computational Aspects of Polynomial Identities: Volume l, Kemer’s Theorems, 2nd Edition presents the underlying ideas in recent polynomial identity (PI)-theory and demonstrates the validity of the proofs of PI-theorems. This edition gives all the details involved in Kemer’s proof of Specht’s…

Hardback – 2015-10-23

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Cremona Groups and the Icosahedron

#### 1st Edition

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*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Nonlinear Functional Analysis in Banach Spaces and Banach Algebras

#### Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications, 1st Edition

Uncover the Useful Interactions of Fixed Point Theory with Topological Structures Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications is the first book to tackle the…

Hardback – 2015-08-14

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Partial Differential Equations with Variable Exponents

#### Variational Methods and Qualitative Analysis, 1st Edition

Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis provides researchers and graduate students with a thorough introduction to the theory of nonlinear partial differential equations (PDEs) with a variable exponent, particularly those of elliptic type…

Hardback – 2015-06-24

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### A Practical Guide to Geometric Regulation for Distributed Parameter Systems

#### 1st Edition

A Practical Guide to Geometric Regulation for Distributed Parameter Systems provides an introduction to geometric control design methodologies for asymptotic tracking and disturbance rejection of infinite-dimensional systems. The book also introduces several new control algorithms inspired by…

Hardback – 2015-06-18

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Dictionary of Inequalities

#### 2nd Edition

Adding new results that have appeared in the last 15 years, Dictionary of Inequalities, Second Edition provides an easy way for researchers to locate an inequality by name or subject. This edition offers an up-to-date, alphabetical listing of each inequality with a short statement of the result,…

Hardback – 2015-06-15

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Application of Fuzzy Logic to Social Choice Theory

#### 1st Edition

Fuzzy social choice theory is useful for modeling the uncertainty and imprecision prevalent in social life yet it has been scarcely applied and studied in the social sciences. Filling this gap, Application of Fuzzy Logic to Social Choice Theory provides a comprehensive study of fuzzy social choice…

Hardback – 2015-03-03

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Signal Processing

#### A Mathematical Approach, Second Edition, 2nd Edition

Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or graduate-level understanding of…

Hardback – 2014-11-12

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Special Integrals of Gradshteyn and Ryzhik

#### the Proofs - Volume I, 1st Edition

A Guide to the Evaluation of Integrals Special Integrals of Gradshetyn and Ryzhik: The Proofs provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. The book gives the most elementary arguments possible and uses…

Hardback – 2014-11-12

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*### Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

#### 1st Edition

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified…

Hardback – 2014-09-22

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs and Research Notes in Mathematics*

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