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Research Directions in Number Theory

This is the fifth proceedings volume published under the Women in Numbers umbrella. The WIN workshops and their proceedings volumes are part of the WIN network, aimed at highlighting the research of women…

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Gustav Grönnäs
Schnellkurs Gleichunglösen

Schnellkurs Gleichunglösen ist ein Lehr- und Nachschlagewerk für Schule, Studium und Beruf. Alle wichtigen Begriffe, Regeln und Methoden werden in verständlicher Form dargestellt, in Handlungsanweisungen…

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Sanjay
The Dependability Revolution: Mathematical Tools for Building Secure, Reliable Systems

"The Dependability Revolution: Mathematical Tools for Building Secure, Reliable Systems" dives into the fascinating world of formal methods for ensuring the smooth operation of critical systems. Imagine a…

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Aron Simis, Zaqueu Ramos
Determinantal Ideals of Square Linear Matrices

This book explores determinantal ideals of square matrices from the perspective of commutative algebra, with a particular emphasis on linear matrices. Its content has been extensively tested in several le…

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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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Lars Winther Christensen, Henrik Holm, Hans-Bjørn Foxby
Derived Category Methods in Commutative Algebra

Derived category methods entered commutative algebra in the latter half of the 1960s, providing, among other things, a framework for a clear formulation of Grothendieck's Local Duality Theorem. Since then…

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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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Paul-Hermann Zieschang
Hypergroups

This book provides a comprehensive algebraic treatment of hypergroups, as defined by F. Marty in 1934. It starts with structural results, which are developed along the lines of the structure theory of gro…

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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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Andrej Dujella
Diophantine m-tuples and Elliptic Curves

This book provides an overview of the main results and problems concerning Diophantine m-tuples, i.e., sets of integers or rationals with the property that the product of any two of them is one less than …

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John T. Tate, Joseph H. Silverman
Rational Points on Elliptic Curves

The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an opportu…

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Heath Emerson
An Introduction to C*-Algebras and Noncommutative Geometry

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry. Moreover, it fills a gap in the literature, providing a clear and accessible account of the geometric picture of…

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Advances in Ring Theory and Applications

The book intends to be a collection of research papers on algebra and related topics, most of which were presented at the international "Workshop on Associative Rings and Algebras with additional structur…

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Non-Associative Algebras and Related Topics

This proceedings volume presents a selection of peer-reviewed contributions from the Second Non-Associative Algebras and Related Topics (NAART II) conference, which was held at the University of Coimbra, …

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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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Buch

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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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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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…

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Markus Szymik, Gerd Laures
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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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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