Algebra

This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics.

This is the fi rst textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of fi nite groups.

The present book is a translation of E.

The first expository book-length introduction to intersection homology from the viewpoint of singular and piecewise linear chains.

This book presents the state of the art on numerical semigroups and related subjects, offering different perspectives on research in the field and including results and examples that are very difficult to find in a structured exposition elsewhere.

Resolution of Equations in Algebraic Structures: Volume 1, Algebraic Techniques is a collection of papers from the "e;Colloquium on Resolution of Equations in Algebraic Structures"e; held in Texas in May 1987.

This book summarizes research carried out in workshops of the SAGA project, an Initial Training Network exploring the interplay of Shapes, Algebra, Geometry and Algorithms.

Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry.

Positivity is one of the most basic mathematical concepts.

Surveys areas of current research activity in a wide range of group theory and related areas.

The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of commutative algebra.

Classroom-tested and featuring over 100 exercises, this text introduces the key algebraic geometry field of Hurwitz theory.

This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra.

Dieses vierfarbige Lehrbuch wendet sich an Studierende der Mathematik, der Physik und Informatik in Bachelor- und Lehramts-Studiengängen.

This book is based on a course for first-semester science students, held by the second author at the University of Zurich several times.

"Daß ein Einführungstext zur Linearen Algebra bei der ständig wachsenden Flut von Lehrbüchern zu diesem weitgehend standardisierten Stoff überhaupt noch Besonderheiten bieten kann, ist gewiß bemerkenswert.

This is an essential textbook the advanced undergraduate and graduate students of mathematics.

Developed from the author's successful two-volume Calculus text this book presents Linear Algebra without emphasis on abstraction or formalization.

Functions which are defined on finite sets occur in almost all fields of mathematics.

Preempt your anxiety about PRE-ALGEBRA!

In this book, the author writes freely and often humorously about his life, beginning with his earliest childhood days.

This volume deals with the K-theoretical aspects of the group rings of braid groups of the 2-sphere.

The Application of Group Theory in Physics is a 17-chapter text based on a course of lectures concerning the principles, concepts, and application of group theory in physics, given at the Gorki University in Kharkov.

Representation theory studies maps from groups into the general linear group of a finite-dimensional vector space.

Statistical Analysis of Observations of Increasing Dimension is devoted to the investigation of the limit distribution of the empirical generalized variance, covariance matrices, their eigenvalues and solutions of the system of linear algebraic equations with random coefficients, which are an important function of observations in multidimensional statistical analysis.

This book tells the story of the first computer exploration of Klein''s vision of infinitely repeated reflections, featuring extraordinary images.

Elementary Linear Algebra, Sixth Edition provides a solid introduction to both the computational and theoretical aspects of linear algebra, covering many important real-world applications, including graph theory, circuit theory, Markov chains, elementary coding theory, least-squares polynomials and least-squares solutions for inconsistent systems, differential equations, computer graphics and quadratic forms.

A very primitive form of this monograph has existed for about two and a half years in the form of handwritten notes of a course that Alain Y ger gave at the University of Maryland.

The Mathieu Groups are presented in the context of finite geometry and the theory of group amalgams.

A group of Gerry Schwarz's colleagues and collaborators gathered at the Fields Institute in Toronto for a mathematical festschrift in honor of his 60th birthday.

This book contains select chapters on support vector algorithms from different perspectives, including mathematical background, properties of various kernel functions, and several applications.

Algebraic topology is a branch of mathematics which uses tools from abstract algebra to study topological spaces.

Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties.

This text brings the reader to the frontiers of current research in topological rings.

Iterative Solution of Large Linear Systems describes the systematic development of a substantial portion of the theory of iterative methods for solving large linear systems, with emphasis on practical techniques.

This book provides a unique tour of university mathematics with the help of Python.

The 100+ Series, Pre-Algebra, offers in-depth practice and review for challenging middle school math topics such as ratios and proportions; rational numbers; and expressions and equations.