Algebra

This monograph presents a new model of mathematical structures called weak n-categories.

This monograph presents combinatorial and numerical issues on integral quadratic forms as originally obtained in the context of representation theory of algebras and derived categories.

This book provides an accessible introduction to knot theory, focussing on Vassiliev invariants, quantum knot invariants constructed via representations of quantum groups, and how these two apparently distinct theories come together through the Kontsevich invariant.

This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field.

This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods.

This book gathers selected contributions presented at the INdAM Meeting Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications, held in Cortona, Italy on September 4-8, 2017.

This book is divided into two parts, one theoretical and one focusing on applications, and offers a complete description of the Canonical Grobner Cover, the most accurate algebraic method for discussing parametric polynomial systems.

This book presents tensors and tensor analysis as primary mathematical tools for engineering and engineering science students and researchers.

This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications.

In this partly expository work, a framework is developed for building exotic circle actions of certain classical groups.

This book highlights the latest advances in stochastic processes, probability theory, mathematical statistics, engineering mathematics and algebraic structures, focusing on mathematical models, structures, concepts, problems and computational methods and algorithms important in modern technology, engineering and natural sciences applications.

Based on the authors' research experience, this two-volume reference textbook focuses on the theory of generalized locally Toeplitz sequences and its applications.

This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications.

This book enables the reader to discover elementary concepts of geometric algebra and its applications with lucid and direct explanations.

With this translation, the classic monograph Uber die Klassenzahl abelscher Zahlkorper by Helmut Hasse is now available in English for the first time.

This volume resulted from presentations given at the international "e;Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series"e;, that took place at the Instituto de Ciencias Matematicas (ICMAT) in Madrid, Spain.

This unique collection of research papers offers a comprehensive and up-to-date guide to algebraic approaches to rough sets and reasoning with vagueness.

This volume is the first of two containing selected papers from the International Conference on Advances in Mathematical Sciences, Vellore, India, December 2017 - Volume I.

This book presents, in a uniform way, several problems in applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors.

This innovative monograph explores a new mathematical formalism in higher-order temporal logic for proving properties about the behavior of systems.

This volume contains extended abstracts outlining selected talks and other selected presentations given by participants of the workshop "e;Positivity and Valuations"e;, held at the Centre de Recerca Matematica (CRM) in Barcelona from February 22nd to 26th, 2016.

Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration.

This monograph presents a new model of mathematical structures called weak n-categories.

Cet ouvrage présente un traitement mathématique rigoureux des notions fondamentales de l'algèbre linéaire et illustre son utilisation dans de nombreuses applications.

Extrait : "Les généralités qui suivent se rapportent aux principes, aux méthodes, à la classification, à l'enseignement et à l'histoire des Mathématiques.

"e;Viruses don't harm, ignorance does.

New technological innovations and advances in research in areas such as spectroscopy, computer tomography, signal processing, and data analysis require a deep understanding of function approximation using Fourier methods.

This book presents the theory of matrix algebra for statistical applications, explores various types of matrices encountered in statistics, and covers numerical linear algebra.

This book presents the theory of matrix algebra for statistical applications, explores various types of matrices encountered in statistics, and covers numerical linear algebra.

A new approach to the character theory of the symmetric group has been developed during the past fifteen years which is in many ways more efficient, more transparent, and more elementary.

All students need to master a variety of mathematical tools and concepts at the start of their university career.

This book is directed primarily at undergraduate and postgraduate students interested to get acquainted with the representation theory of Lie algebras.

This book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group.

This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications-CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojsa Stevanovic (1962-2009).

This book is built upon a basic second-year masters course given in 1991- 1992, 1992-1993 and 1993-1994 at the Universit' e Paris-Sud (Orsay).

Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations.

Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs.

Master linear programming with this comprehensive guide, covering fundamentals, advanced methods, and practical applications using Excel, MATLAB, and Lindo.

This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications-CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojsa Stevanovic (1962-2009).

A comprehensive reference guide for essential mathematical formulas and scientific data for engineers, covering topics from algebra to properties of organic compounds.

This book is an introduction to module theory for the reader who knows something about linear algebra and ring theory.

With a software library included, this book provides an elementary introduction to polynomial elimination in practice.

A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty.

This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint.

Mathematics plays a central role in modern culture, and a basic understanding of the nature of mathematics is required for scientific literacy.

This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions.

This is an introductory book on generating functions (GFs) and their applications.

This book is an introduction to methods for solving partial differential equations (PDEs).

This is a unique book that teaches mathematics and its history simultaneously.