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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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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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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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Heekyoung Hahn, Jayce R. Getz
An Introduction to Automorphic Representations

The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program. It is designed for use as a primary text for either a semester or a year…

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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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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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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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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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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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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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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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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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Arkadii Slinko
Algebra for Applications

This textbook provides mathematical tools and applies them to study key aspects of data transmission such as encryption and compression. Modern societies are awash with data that needs to be manipulated i…

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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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Tullio Ceccherini-Silberstein, Michel Coornaert
Exercises in Cellular Automata and Groups

1 Cellular Automata.- 2 Residually Finite Groups.- 3 Surjunctive Groups.- 4 Amenable Groups.- 5 The Garden of Eden Theorem.- 6 Finitely Generated Amenable Groups.- 7 Local Embeddability and Sofic Groups.-…

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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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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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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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