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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…

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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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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 Universit…

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Handbook of Geometry and Topology of Singularities VI: Foliations

This is the sixth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its inte…

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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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New Frontiers in Number Theory and Applications

This contributed volume presents recent advances as well as new directions in number theory and its applications. Algebraic and analytic number theory are the main focus with chapters showing how these ar…

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Atsushi Moriwaki, Huayi Chen
Positivity in Arakelov Geometry over Adelic Curves

Progress in Mathematics - Band 355

This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors. It explores positivity conditions and establishes the Hilbert-…

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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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The Art of Doing Algebraic Geometry

This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related …

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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-infinite nature.…

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Martin van Beek
Rank 2 Amalgams and Fusion Systems

This monograph provides a comprehensive treatment of the classification of small fusion systems, that is, fusion systems with few essential subgroups. It demonstrates a broad range of techniques from loca…

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Daniel Alpay
Exercises in Applied Mathematics

This text presents a collection of mathematical exercises with the aim of guiding readers to study topics in statistical physics, equilibrium thermodynamics, information theory, and their various connecti…

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Laurent Busé, Elisa Postinghel, Fabrizio Catanese
Algebraic Curves and Surfaces

This volume collects the lecture notes of the school TiME2019 (Treasures in Mathematical Encounters). The aim of this book is manifold, it intends to overview the wide topic of algebraic curves and surfac…

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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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Daniela Bubboloni, Thomas Stefan Weigel, Pablo Spiga
Normal 2-Coverings of the Finite Simple Groups and their Generalizations

This book provides a complete and comprehensive classification of normal 2-coverings of non-abelian simple groups and their generalizations. While offering readers a thorough understanding of these struct…

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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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Matt
Toric and Tropical Geometry: Tools for Understanding Algebraic Varieties

Imagine an intricate puzzle an algebraic variety, defined by complex equations. Toric and tropical geometry offer powerful tools to understand its hidden structure. Toric geometry builds a bridge betwee…

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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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Liviu C. Florescu
Selected Topics in Mathematical Analysis

This book presents four topics related to undergraduate courses, typically not covered in standard lectures. Written in a clear and careful style, these four pearls aim at complementing and deepening t…

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Algebraic, Number Theoretic, and Topological Aspects of Ring Theory

This volume has been curated from two sources: presentations from the Conference on Rings and Polynomials, Technische Universität Graz, Graz, Austria, July 19 24, 2021, and papers intended for presentati…

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