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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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Recent Progress in Ring and Factorization Theory

This proceedings volume gathers a selection of cutting-edge research in both commutative and non-commutative ring theory and factorization theory. The papers were presented at the Conference on Rings and …

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Higher Structures and Operadic Calculus

This book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the "Higher homotopical structures" programme.Since their introductio…

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Leonid Kurdachenko, Igor Subbotin, Oleksandr Pypka
General Theory of Leibniz Algebras

This book discusses many interesting results have been obtained in Leibniz algebras over the past two decades. The authors not only summarize recent results and methods successfully used in Leibniz algebr…

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Haiyan Tian
Linear Algebra

This book presents algebra in a concise and clear way, allowing beginner students to quickly attain the required proficiency. As to opposed to existing books on the subject that cover too many topics, som…

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M. L. Brown
Shafarevich-Tate Groups

This monograph explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields of any characteristic. Readers will better understand how the methods of Euler syste…

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Perspectives on Four Decades of Algebraic Geometry, Volume 2

The second of a two-part volume, this collection offers a unifying vision of algebraic geometry, exploring its evolution over the last four decades as well as state-of-the art research. With chapters writ…

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Michel Coornaert, Tullio Ceccherini-Silberstein
Cellular Automata and Groups

This unique book provides a self-contained exposition of the theory of cellular automata on groups and explores its deep connections with recent developments in geometric and combinatorial group theory, a…

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Frank-Olaf Schreyer
An Introduction to Algebraic Geometry

Algebraic Geometry is a huge area of mathematics which went through several phases: Hilbert's fundamental paper from 1890, sheaves and cohomology introduced by Serre in the 1950s, Grothendieck's theory of…

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Alexander A. Ivanov
Ever-Evolving Groups

This book presents an original approach to the theory of finite groups, placing finite sporadic groups on an equal footing. It provides a nearly comprehensive overview of developments in the study of spor…

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Handbook of Geometry and Topology of Singularities VII

This is the seventh volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the state of the art of the subject, its frontiers, and its int…

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Gerd Laures, Markus Szymik
A Basic Course in Topology

This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects. It is designed as a bridge between elementary courses in analysis and…

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Henryk ¿O¿¿Dek
The Monodromy Group

This book presents the monodromy group, underlining the unifying role it plays in a variety of theories and mathematical areas. In singularity theory and algebraic geometry, the monodromy group is embodie…

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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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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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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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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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