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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 Universit…

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The Art of Doing Algebraic Geometry

This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related …

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Marco Hien
Abstract Algebra

This book contains the basics of abstract algebra. In addition to elementary algebraic structures such as groups, rings and solids, Galois theory in particular is developed together with its applications…

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Handbook of Geometry and Topology of Singularities VI: Foliations

This is the sixth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its inte…

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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-infinite nature.…

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Mikko Korhonen
Maximal Solvable Subgroups of Finite Classical Groups

This book studies maximal solvable subgroups of classical groups over finite fields. It provides the first modern account of Camille Jordan's classical results, and extends them, giving a classification o…

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Martin van Beek
Rank 2 Amalgams and Fusion Systems

This monograph provides a comprehensive treatment of the classification of small fusion systems, that is, fusion systems with few essential subgroups. It demonstrates a broad range of techniques from loca…

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Laurent Busé, Elisa Postinghel, Fabrizio Catanese
Algebraic Curves and Surfaces

This volume collects the lecture notes of the school TiME2019 (Treasures in Mathematical Encounters). The aim of this book is manifold, it intends to overview the wide topic of algebraic curves and surfac…

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Daniel Alpay
Exercises in Applied Mathematics

This text presents a collection of mathematical exercises with the aim of guiding readers to study topics in statistical physics, equilibrium thermodynamics, information theory, and their various connecti…

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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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New Frontiers in Number Theory and Applications

This contributed volume presents recent advances as well as new directions in number theory and its applications. Algebraic and analytic number theory are the main focus with chapters showing how these ar…

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Atsushi Moriwaki, Huayi Chen
Positivity in Arakelov Geometry over Adelic Curves

Progress in Mathematics - Band 355

This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors. It explores positivity conditions and establishes the Hilbert-…

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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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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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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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Nama
Numerical Approaches to Optimal Control: Tackling Nonlinear Systems and Constraints

Optimal control has been widely applied to modern control systems design and has drawn great attention for decades. In the optimal control theory, the control problem is formulated as an optimization prob…

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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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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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Gérard Gréhan, Gérard Gouesbet
Generalized Lorenz-Mie Theories

This book explores generalized Lorenz Mie theories when the illuminating beam is an electromagnetic arbitrary shaped beam relying on the method of separation of variables. Although it particularly focuses…

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