Algebra

Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups.

The book goes through middle school mathematics and techniques and methods of its teaching.

A real matrix is positive semidefinite if it can be decomposed as A=BB'.

Non-Classical Logics and their Applications to Fuzzy Subsets is the first major work devoted to a careful study of various relations between non-classical logics and fuzzy sets.

A PRACTICAL GUIDE TO OPTIMIZATION PROBLEMS WITH DISCRETE OR INTEGER VARIABLES, REVISED AND UPDATED The revised second edition of Integer Programming explains in clear and simple terms how to construct custom-made algorithms or use existing commercial software to obtain optimal or near-optimal solutions for a variety of real-world problems.

Bibliotheca Mathematica: A Series of Monographs on Pure and Applied Mathematics, Volume VIII: Geometry of Numbers focuses on bodies and lattices in the n-dimensional euclidean space.

Algebraic and Classical Topology contains all the published mathematical work of J.

This textbook explores applications of linear algebra in data science at an introductory level, showing readers how the two are deeply connected.

The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*-algebras.

This book offers the basics of algebraic number theory for students and others who need an introduction and do not have the time to wade through the voluminous textbooks available.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

North-Holland Mathematical Library, Volume 26: Shape Theory: The Inverse System Approach presents a systematic introduction to shape theory by providing background materials, motivation, and examples, including shape theory and invariants, pro-groups, shape fibrations, and metric compacta.

This proceedings volume gathers selected, peer-reviewed papers presented at the 2nd International Conference on Mathematics and its Applications in Science and Engineering - ICMASE 2021, which was virtually held on July 1-2, 2021 by the University of Salamanca, Spain.

This book explores toric topology, polyhedral products and related mathematics from a wide range of perspectives, collectively giving an overview of the potential of the areas while contributing original research to drive the subject forward in interesting new directions.

This book is a sequel to the book by the same authors entitled Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras.

This book is the second volume of an intensive "e;Russian-style"e; two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures - fields, rings, modules, algebras, groups, and categories - and explains the main principles of and methods for working with them.

Affine geometry and quadrics are fascinating subjects alone, but they are also important applications of linear algebra.

He [Kronecker] was, in fact, attempting to describe and to initiate a new branch of mathematics, which would contain both number theory and alge- braic geometry as special cases.

An Introduction to Operator Algebras is a concise text/reference that focuses on the fundamental results in operator algebras.

This book contains a detailed discussion of the matrix operation, its properties, and its applications in finding the solution of linear equations and determinants.

This volume carries the same title as that of an international conference held at the National University of Singapore, 9-11 January 2006 on the occasion of Roger E.

This revised edition of A Decision Method for Elementary Algebra and Geometry presents the culmination of research begun in 1930, which laid foundational results in algebraic and geometric completeness.

Don't let quadratic equations make you irrationalIf you are absolutely confused by absolute value equations, or you think parabolas are short moral stories, College Algebra DeMYSTiFied, Second Edition is your solution to mastering the topic's concepts and theories at your own pace.

The aim of this book is to present the fundamental theoretical results concerning inference rules in deductive formal systems.

This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects.

This innovative undergraduate textbook approaches number theory through the lens of abstract algebra.

Formal development of the mathematical theory of quantum information with clear proofs and exercises.

This volume contains all twenty-three of the principal survey papers presented at the Symposium on Ordered Sets held at Banff, Canada from August 28 to September 12, 1981.

This book is aimed at undergraduate students embarking on the first year of a modular mathematics degree course.

Braids and braid groups, the focus of this text, have been at the heart of important mathematical developments over the last two decades.

This book provides a comprehensive review on tensor algebra, including tensor products, tensor unfolding, tensor eigenvalues, and tensor decompositions.

In this book we lead the student to an understanding of elementary linear algebra by emphasizing the geometric significance of the subject.

Professor Nicholas N Govorun, corresponding member of the USSR Academy of Sciences, was the principal organizer of the precedent meetings held at Dubna (1979, 1983, 1985).

There is good reason to be excited about Linear Algebra.

This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject.

Packed with contributions from international experts, Commutative Algebra: Geometric, Homological, Combinatorial, and Computational Aspects features new research results that borrow methods from neighboring fields such as combinatorics, homological algebra, polyhedral geometry, symbolic computation, and topology.

This study guide is designed for students taking courses in differential equations.

This volume brings together scholars across various domains of the history and philosophy of mathematics, investigating duality as a multi-faceted phenomenon.

Linear Algebra is intended primarily as an undergraduate textbook but is written in such a way that it can also be a valuable resource for independent learning.