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

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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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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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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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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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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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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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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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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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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Buch

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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Nora
Beyond Bilinearity: Exploring Nonlinear Dirichlet Forms and their Applications

The main motivation and prime example of a Dirichlet form is the energy of the Laplace operator. The Laplacian was ¿rst introduced and studied by Laplace and other after him in the 18th and 19th century. …

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Lars Tuset
Abstract Algebra via Numbers

This book is a concise, self-contained treatise on abstract algebra with an introduction to number theory, where students normally encounter rigorous mathematics for the first time. The authors build up t…

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Stephan Rosebrock
Visual Group Theory

This textbook provides an introduction to group theory starting from the basics, relying on geometry to elucidate its various aspects.Groups naturally manifest as symmetries of geometric shapes, such as r…

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Gérard Gréhan, Gérard Gouesbet
Generalized Lorenz-Mie Theories

This book explores generalized Lorenz¿Mie theories when the illuminating beam is an electromagnetic arbitrary shaped beam relying on the method of separation of variables. Although it particularly focuses…

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Non-commutative and Non-associative Algebra and Analysis Structures

The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019 was to showcase the frontiers of research in se…

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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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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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Rosa Maria Miró-Roig, Liena Colarte-Gómez
Gröbner's Problem and the Geometry of GT-Varieties

This book presents progress on two open problems within the framework of algebraic geometry and commutative algebra: Gröbner's problem regarding the arithmetic Cohen-Macaulayness (aCM) of projections of V…

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