Algebra

This is the first extensive treatment of the theory of corings and their comodules.

In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one.

This book presents a detailed account of the theory of quantaloids, a natural generalization of quantales.

Since the birth of rational homotopy theory, the possibility of extending the Quillen approach -  in terms of Lie algebras - to a more general category of spaces, including the non-simply connected case, has been a challenge for the algebraic topologist community.

This volume contains the proceedings of the NATO Advanced Study Institute on Finite and Locally Finite Groups held in Istanbul, Turkey, 14-27 August 1994, at which there were about 90 participants from some 16 different countries.

In singularity theory and algebraic geometry the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations.

One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory.

This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum.

This volume introduces some recent developments in Arithmetic Geometry over local fields.

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

Algebra Review serves as a background supplement to Howard Anton and Bernard Kolman's books on finite mathematics-Applied Finite Mathematics and Applied Finite Mathematics with Calculus.

When first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics.

Exterior Algebras: Elementary Tribute to Grassmann's Ideas provides the theoretical basis for exterior computations.

The notes in this volume were written as a part of a Nachdiplom course that I gave at the ETH in the summer semester of 1995.

Capturing the state of the art of the interplay between positivity, noncommutative analysis, and related areas including partial differential equations, harmonic analysis, and operator theory, this volume was initiated on the occasion of the Delft conference in honour of Ben de Pagter's 65th birthday.

Algebra presents the essentials of algebra with some applications.

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.

This book presents two new decomposition methods to decompose a time series in intrinsic components of low and high frequencies.

Pre-algebra skills come easy with plenty of practice!

This volume highlights the mathematical research presented at the 2019 Association for Women in Mathematics (AWM) Research Symposium held at Rice University, April 6-7, 2019.

Differential geometry is the study of the curvature and calculus of curves and surfaces.

A portrait of the subject of homological algebra as it exists today.

This textbook offers a comprehensive coverage of the fundamentals of calculus, linear algebra and analytic geometry.

This book features a thoughtfully curated collection of research contributions spanning regularization theory, integral equations, learning theory, and matrix and operator theory.

Unified introduction to algebra and geometry, emphasising links between the topics.

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.

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

The trajectory of fractional calculus has undergone several periods of intensive development, both in pure and applied sciences.

This textbook presents the second edition of Manin's celebrated 1988 Montreal lectures, which influenced a new generation of researchers in algebra to take up the study of Hopf algebras and quantum groups.

"e;Mirrors and Reflections"e; presents a systematic and elementary introduction to the properties of finite groups generated by reflections.

This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms.

Developed to meet the needs of modern students, this Second Edition of the classic algebra text by Peter Cameron covers all the abstract algebra an undergraduate student is likely to need.

In multivariate statistical analysis, elliptical distributions have recently provided an alternative to the normal model.

Simple enough for detailed study, rich enough to show interesting behavior, K3 surfaces illuminate core methods in algebraic geometry.

This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers.

Presents an important open problem on operator algebras in a style accessible to young researchers or Ph.

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

The central theme of this volume is commutative algebra, with emphasis on special graded algebras, which are increasingly of interest in problems of algebraic geometry, combinatorics and computer algebra.

The articles in this book give a comprehensive overview on the whole field of validated numerics.

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

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

For advanced undergraduates and graduates, introducing physicists to the mathematical aspects of group theory, and mathematicians to its physics applications.