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.
Hilbert’s Fifth Problem Beyond Local Compactness: Geometry, Regularity, and Group Structure
1st Edition
By Per H. Enflo, Audrey M. Fovelle, Juan B. Seoane Sepúlveda
April 19, 2027
Posed in 1900, Hilbert’s fifth problem was solved in its classical form in the 1950s. Its solution was a landmark of twentieth-century mathematics. Beyond local compactness, the search for structure turns to the geometry of infinite-dimensional spaces. Building on the programme initiated by Per ...
Pokhozhaev’s Legacy: The Art of Nonexistence, Blow-Up, and Fibering in Nonlinear PDEs and Inequalities
1st Edition
By Victor A. Galaktionov, Enzo Mitidieri
April 12, 2027
Pokhozhaev’s Legacy explores nonexistence, blow-up and pattern formation for nonlinear partial differential equations and inequalities. Centred on Stanislav Pokhozhaev’s mathematical ideas, it brings together methods for studying problems across different equation types and differential orders. ...
Operator-Theoretic Approaches to Arithmetic Functional Analysis: Prime Numbers, Arithmetic Functions, Krein-Space Operators Under Free-Probabilistic Settings
1st Edition
By Ilwoo Cho
February 23, 2027
This monograph explores the relationships and connections among number theory, operator theory, operator algebra theory, and representation theory within free-probabilistic frameworks. Arithmetic functions are examined as Krein-space operators under suitable representation, extending to free ...
Abstract Calculus: A Categorical Approach
2nd Edition
By Francisco Javier Garcia-Pacheco
December 31, 2026
Abstract Calculus: A Categorical Approach provides an abstract approach to calculus. Any calculus text for undergraduate students majoring in engineering, mathematics or physics deals with the classical concepts of limits, continuity, differentiability, optimization, integrability, summability, and...
Computation with Linear Algebraic Groups
2nd Edition
By Willem A. de Graaf
December 23, 2026
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 ...
Abstract Cauchy Problems: Three Approaches
2nd Edition
By Irina V. Melnikova, Alexei Filinkov
September 08, 2026
Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems involved in numerous mathematical models in physics, engineering, and finance can be approached in a variety of ways. The authors structured these approaches, identifying three main strategies for dealing...
Introduction to the Potential Theory for the Time-Dependent Stokes System
1st Edition
By Ronald B. Guenther, Ernest Roetman
July 12, 2026
Introduction to the Potential Theory for the Time-Dependent Stokes System is made up of two parts. The first part deals with a careful presentation of the principles on which the physical problems are based. The fluids under consideration are assumed to be incompressible and the equations so ...
Finite Element Methods for Eigenvalue Problems
2nd Edition
By Jiguang Sun, Aihui Zhou
May 10, 2026
Praise for the previous edition “I highly recommend the book, especially for the curious graduate student." —Joe Coyle, Mathematical Reviews Finite Element Methods for Eigenvalue Problems covers finite element methods for several typical eigenvalues that arise from science and engineering. Both ...
Differential Modules over Differential Rings
1st Edition
By Andy R. Magid
April 13, 2026
Differential Modules over Differential Rings provides an introduction and reference for researchers in commutative and differential algebra and could be used as the basis for a graduate course or seminar. The book is best suited to an audience for whom the terminology of rings, modules, ...
Monomial Algebras
3rd Edition
By Rafael H. Villarreal
April 07, 2026
Monomial Algebras 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, clutters, or ...
Inequalities and Integral Operators in Function Spaces
1st Edition
By Erlan Nursultanov
January 26, 2026
The modern theory of functional spaces and operators, built on powerful analytical methods, continues to evolve in the search for more precise, universal, and effective tools. Classical inequalities such as Hardy’s inequality, Remez’s inequality, the Bernstein-Nikolsky inequality, the ...
Free Random Variables: Free Distributions Dictated by the Semicircular Law
1st Edition
By Ilwoo Cho
November 12, 2025
Free Random Variables: Free Distributions Dictated by the Semicircular Law is particularly concerned with operators which are not self-adjoint, but whose free distributions are dictated by the semicircular law. The book covers operator-theoretic properties and free-distributional data of such ...