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Alberto Facchini
Introduction to Ring and Module Theory

This textbook is designed for a first course in ring theory, module theory and category theory. Written following several decades of teaching experience, it stands out with its clear and engaging style, f…

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Bertram Huppert,
Finite Groups I

Since its publication in 1967, Bertram Huppert's influential Endliche Gruppen I has remained a standard reference on group theory, with its clear, precise and complete exposition. The present volume makes…

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Davide Lombardo
L-Functions

This book provides an accessible introduction to the theory of L -functions, emphasising their central role in number theory and their direct applications to key results. Designed to be elementary, it off…

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Giovanni De Franceschi, Eamonn A. O'Brien, Martin W. Liebeck
Conjugacy in Finite Classical Groups

This book provides a comprehensive coverage of the theory of conjugacy in finite classical groups. Given such a classical group G, the three fundamental problems considered are the following: to list a re…

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Tom M. Apostol
Introduction to Analytic Number Theory

From the contents: 1: The Fundamental Theorem of Arithmetic. 2: Arithmetical Functions and Dirichlet Multiplication. 3: Averages of Arithmetical Function. 4: Some Elementary Theorems on the Distribution …

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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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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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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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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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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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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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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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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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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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Giordano Cotti, Davide Guzzetti, Boris A. Dubrovin
Helix Structures in Quantum Cohomology of Fano Varieties

This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress of Mathematicians (ICM). This conjecture asserts the equiv…

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Number Theory in Memory of Eduard Wirsing

Eduard Wirsing was an outstanding number theorist. In his research he made significant contributions to various subfields of number theory and also collaborated with other eminent scientists (e.g., with t…

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Marc Nieper-Wißkirchen
Elementary Galois Theory

Why is the squaring of the circle, why is the division of angles with compass and ruler impossible? Why are there general solution formulas for polynomial equations of degree 2, 3 and 4, but not for degre…

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Timothy G. Feeman
Applied Linear Algebra and Matrix Methods

This textbook is designed for a first course in linear algebra for undergraduate students from a wide range of quantitative and data driven fields. By focusing on applications and implementation, students…

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Hugh C. Williams, Christian J. -C. Ballot
The Lucas Sequences

Although the Lucas sequences were known to earlier investigators such as Lagrange, Legendre and Genocchi, it is because of the enormous number and variety of results involving them, revealed by Édouard Lu…

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