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Joachim Hilgert
Mathematical Structures

This textbook is intended to be accessible to any second-year undergraduate in mathematics who has attended courses on basic real analysis and linear algebra. It is meant to help students to appreciate th…

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Claus Scheiderer
A Course in Real Algebraic Geometry

This textbook is designed for a one-year graduate course in real algebraic geometry, with a particular focus on positivity and sums of squares of polynomials.The first half of the book features a thorough…

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Leonid Positselski
Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes

Semi-Infinite Geometry is a theory of "doubly infinite-dimensional" geometric or topological objects. In this book the author explains what should be meant by an algebraic variety of semi-infini…

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Tullio Ceccherini-Silberstein, Michel Coornaert
Exercises in Cellular Automata and Groups

This book complements the authors¿ monograph Cellular Automata and Groups [CAG] (Springer Monographs in Mathematics). It consists of more than 600 fully solved exercises in symbolic dynamics and geometric…

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Marco Hien
Abstract Algebra

This book contains the basics of abstract algebra.In addition to elementary algebraic structures such as groups, rings and solids, Galois theory in particular is developed together with its applications t…

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Cutting-Edge Mathematics

The book contains a selection of research and expository papers in pure and applied mathematics presented by various authors as plenary or invited speakers at the biennial congress of the Spanish Royal Ma…

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Bogdan Grechuk
Polynomial Diophantine Equations

This book proposes a novel approach to the study of Diophantine equations: define an appropriate version of the equation¿s size, order all polynomial Diophantine equations by size, and then solve the equa…

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Mikko Korhonen
Maximal Solvable Subgroups of Finite Classical Groups

This book studies maximal solvable subgroups of classical groups over finite fields. It provides the first modern account of Camille Jordan's classical results, and extends them, giving a classification o…

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Lars Winther Christensen, Henrik Holm, Hans-Bjørn Foxby
Derived Category Methods in Commutative Algebra

Derived category methods entered commutative algebra in the latter half of the 1960s, providing, among other things, a framework for a clear formulation of Grothendieck's Local Duality Theorem. Since then…

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Non-Associative Algebras and Related Topics

This proceedings volume presents a selection of peer-reviewed contributions from the Second Non-Associative Algebras and Related Topics (NAART II) conference, which was held at the University of Coimbra, …

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Heath Emerson
An Introduction to C*-Algebras and Noncommutative Geometry

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry. Moreover, it fills a gap in the literature, providing a clear and accessible account of the geometric picture of…

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Paul-Hermann Zieschang
Hypergroups

This book provides a comprehensive algebraic treatment of hypergroups, as defined by F. Marty in 1934. It starts with structural results, which are developed along the lines of the structure theory of gro…

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Functor Categories, Model Theory, Algebraic Analysis and Constructive Methods

This volume comprises selected contributions by the participants of the second "Functor Categories, Model Theory, Algebraic Analysis and Constructive Methods" conference, which took place at the…

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New Advances in Designs, Codes and Cryptography

This volume records and disseminates selected papers from the Stinson66 conference, including surveys, prospectives, and papers presenting original and current research. It contains four accessible survey…

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Ulrich Knauer, Kolja Knauer
Discrete and Algebraic Structures

This textbook presents the topics typically covered in a standard course on discrete structures. It is aimed at students of computer science and mathematics (teaching degree and Bachelor's/Master's) and i…

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Lawrence Susanka
Linear Algebra in Context

This text combines a compact linear algebra course with a serious dip into various physical applications. It may be used as a primary text for a course in linear algebra or as a supplementary text for cou…

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Norman R. Reilly, Mario Petrich
Completely Regular Semigroup Varieties

This book presents further developments and applications in the area of completely regular semigroup theory, beginning with applications of Polák's theorem to obtain detailed descriptions of various kerne…

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The Computer Algebra System OSCAR

This book presents version 1.0 of the new Computer Algebra System OSCAR.Written in Julia, OSCAR builds on and vastly extends four cornerstone systems:ANTIC for number theory,GAP for group and representati…

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Moduli, Motives and Bundles

The present volume features contributions from the 2022 BIRS-CMO workshop 'Moduli, Motives and Bundles - New Trends in Algebraic Geometry' held at the Casa Matemática Oaxaca (CMO), in partnership with the…

lieferbar ab 30.11.2025.

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Yves Laszlo, David Hernandez
Introduction to Galois Theory

This textbook provides an undergraduate introduction to Galois theory and its most notable applications.Galois theory was born in the 19th century to study polynomial equations. Both powerful and elegant,…

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