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Guido Walz
Fixpunkte und Nullstellen

Dieses Buch vermittelt in leicht zugänglicher Sprache Methoden zur numerischen Berechnung von Fixpunkten und Nullstellen reeller Funktionen mithilfe von Iterationsverfahren. Insbesondere das Banach-Verfah…

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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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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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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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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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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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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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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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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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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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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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Liviu C. Florescu
Selected Topics in Mathematical Analysis

This book presents four topics related to undergraduate courses, typically not covered in standard lectures.Written in a clear and careful style, these four ¿pearls¿ aim at complementing and deepening the…

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Norman R. Reilly, Mario Petrich
Completely Regular Semigroup Varieties

This book presents further developments and applications in the area of completely regular semigroup theory, beginning with applications of Polák's theorem to obtain detailed descriptions of various kerne…

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Lawrence Susanka
Linear Algebra in Context

This text combines a compact linear algebra course with a serious dip into various physical applications. It may be used as a primary text for a course in linear algebra or as a supplementary text for cou…

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The Computer Algebra System OSCAR

This book presents version 1.0 of the new Computer Algebra System OSCAR.Written in Julia, OSCAR builds on and vastly extends four cornerstone systems:ANTIC for number theory,GAP for group and representati…

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Ulrich Knauer, Kolja Knauer
Discrete and Algebraic Structures

This textbook presents the topics typically covered in a standard course on discrete structures. It is aimed at students of computer science and mathematics (teaching degree and Bachelor's/Master's) and i…

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Functor Categories, Model Theory, Algebraic Analysis and Constructive Methods

This volume comprises selected contributions by the participants of the second "Functor Categories, Model Theory, Algebraic Analysis and Constructive Methods" conference, which took place at the…

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