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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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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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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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Perspectives on Four Decades of Algebraic Geometry, Volume 1

The first 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 writt…

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Franz Halter-Koch,
Ideal Theory of Commutative Rings and Monoids

This book offers a concise treatment of multiplicative ideal theory in the language of multiplicative monoids. It presents a systematic development of the theory of weak ideal systems and weak module syst…

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Mathematical Methods for Engineering Applications

This proceedings volume compiles papers presented at the 5th International Conference on Mathematics and its Applications in Science and Engineering -- ICMASE 2024, held on September 16--18, 2024, by the …

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Dustin Ross, Emily Clader
Beginning in Algebraic Geometry

Introductory textbooks on algebraic geometry typically demand a strong mathematical background and can be challenging even for advanced students. While many excellent texts aim to bridge the gap to master…

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Vladimir Anashin
Causality: The p-adic Theory

This book delves into the mathematical theory of causal functions over discrete time, offering a fresh perspective on causality beyond its philosophical roots. By exploring the intricate world of p-adic 1…

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Norman R. Reilly, Mario Petrich
Completely Regular Semigroup Varieties

This book is a unified treatment of the most important core developments in the theory of completely regular semigroup theory as it stands today. This volume focuses on the lattice of varieties of complet…

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Combinatorial and Additive Number Theory VI

This proceedings volume, the sixth in a series from the Combinatorial and Additive Number Theory (CANT) conferences, is based on talks from the 20th and 21st annual workshops, held in New York in 2022 (vi…

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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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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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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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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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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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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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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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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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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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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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