Algebra

The Theory of Splines and Their Applications discusses spline theory, the theory of cubic splines, polynomial splines of higher degree, generalized splines, doubly cubic splines, and two-dimensional generalized splines.

Il libro tratta di metodi di crittografia e sistemi, con particolare enfasi alla teoria dei numeri.

Stories About Sets discusses the cardinality of sets and mathematical concepts, such as function, curve, surface, dimensions, and the paradoxical properties of curves and surfaces.

Seit die zehnte Auflage der Linearen Algebra von Gerd Fischer erschienen ist, die als Neuerung gegenüber den älteren Auflagen viele Übungsaufgaben enthält, sind beim Verlag viele Anfragen nach den Lösungen dieser Aufgaben eingegan­ gen.

This book includes 33 expanded abstracts of selected talks given at the two workshops "e;Homological Bonds Between Commutative Algebra and Representation Theory"e; and "e;Brave New Algebra: Opening Perspectives,"e; and the conference "e;Opening Perspectives in Algebra, Representations, and Topology,"e; held at the Centre de Recerca Matematica (CRM) in Barcelona between January and June 2015.

A severe thunderstorm morphs into a tornado that cuts a swath of destruction through Oklahoma.

The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics.

This book covers the application of algebraic inequalities for reliability improvement and for uncertainty and risk reduction.

Hyperstructures represent a natural extension of classical algebraic structures.

In the past decade, category theory has widened its scope and now inter- acts with many areas of mathematics.

Studying abstract algebra can be an adventure of awe-inspiring discovery.

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 textbook presents modern algebra from the ground up using numbers and symmetry.

Group Theory: And Its Application To The Quantum Mechanics Of Atomic Spectra aims to describe the application of group theoretical methods to problems of quantum mechanics with specific reference to atomic spectra.

This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990.

This textbook offers an algorithmic introduction to the field of computer algebra.

What is a number?

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete).

Whereas many partial solutions and sketches for the odd-numbered exercises appear in the book, the Student Solutions Manual, written by the author, has comprehensive solutions for all odd-numbered exercises and large number of even-numbered exercises.

Robert A.

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

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

Having trouble understanding algebra?

Domains are mathematical structures for information and approximation; they combine order-theoretic, logical, and topological ideas and provide a natural framework for modelling and reasoning about computation.

The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces.

First comprehensive, accessible account; second edition has expanded bibliography and a new appendix surveying recent research.

This book is concerned with the structure of linear semigroups, that is, subsemigroups of the multiplicative semigroup Mn(K) of n n matrices over a field K (or, more generally, skew linear semigroups - if K is allowed to be a division ring) and its applications to certain problems on associative algebras, semigroups and linear representations.

Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are widely used to model control systems in engineering, natural sciences, and economy.

Most of the existing monographs on generalized inverses are based on linear algebra tools and geometric methods of Banach (Hilbert) spaces to introduce generalized inverses of complex matrices and operators and their related applications, or focus on generalized inverses of matrices over special rings like division rings and integral domains, and does not include the results in general algebraic structures such as arbitrary rings, semigroups and categories, which are precisely the most general cases.

This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zero-dimensional commutative rings, primary decompositions and polynomial system solving.

This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences.

Since their discovery hundreds of years ago, people have been fascinated by the wondrous properties of Fibonacci numbers.

This book is ideal as an introduction to algebraic topology and applied algebraic topology featuring a streamlined approach including coverage of basic categorical notions, simplicial, cellular, and singular homology, persistent homology, cohomology groups, cup products, Poincare Duality, homotopy theory, and spectral sequences.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

This book gives a general introduction to the theory of representations of algebras.

Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations.

Tough Test Questions?

The Artis analyticae praxis was published in 1631 in Latin.

Updated to reflect current research and extended to cover more advanced topics as well as the basics, Algebraic Number Theory and Fermat's Last Theorem, Fifth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics-the quest for a proof of Fermat's Last Theorem.

In this book, which is based on a graduate course taught at the University of Paris, the authors aim to treat the basic theory of representations of finite groups of Lie type.

This in-depth introduction to classical topics in higher algebra provides rigorous, detailed proofs for its explorations of some of mathematics' most significant concepts, including matrices, invariants, and groups.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

Intended for a serious first course or a second course, this textbook will carry students beyond eigenvalues and eigenvectors to the classification of bilinear forms, to normal matrices, to spectral decompositions, and to the Jordan form.