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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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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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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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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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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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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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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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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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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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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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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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Christian J. -C. Ballot, Hugh C. Williams
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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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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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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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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