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This book not only presents an essential material to understand fuzzy metric fixed point theory but also enables the readers to appreciate the recent advancements made in this direction. It contains seven chapters on different topics in fuzzy metric fixed point theory.

Fuzzy sets have experienced multiple expansions since their conception to enhance their capacity to convey complex information. Intuitionistic fuzzy sets, image fuzzy sets, q-rung orthopair fuzzy sets, and neutrosophic sets are a few of these extensions. Researchers and academics have acquired a lot of information about their theories and methods for making decisions. However, only a small number of research findings discuss how neutrosophic sets theory and their extensions (NSTEs) are used in education. The Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education implements fresh scientific approaches to enhance the quality of decisions under neutrosophic environments, particularly within education. Covering key topics such as data modeling, educational technologies, decision making, and learning management systems, this major reference work is ideal for instructional designers, researchers, academicians, scholars, practitioners, instructors, and students.

This book is motivated by the fascinating interrelations between ergodic theory and number theory (as established since the 1950s). It examines several generalizations and extensions of classical continued fractions, including generalized Lehner, simple, and Hirzebruch-Jung continued fractions.

CoPart 3 is a dual complement to Visual Category Theory Brick by Brick Part 3. It covers adjoint functors, diagram shapes and categories, cones and cocones, limits and colimits, pullbacks, pushouts.

Dans ce livre, les hypothèses théoriques des sujets mathématiques suivants sont présentées :logique mathématiquethéorie des ensemblesthéorie des fonctionscalcul littéralpropriétés des puissances et des radicauxcalcul des monômes et des polynômesChaque sujet est traité en mettant en évidence les applications pratiques et en résolvant quelques exercices significatifs.

En este libro se presentan los supuestos teóricos de los siguientes temas matemáticos:lógica matemáticateoría de conjuntosteoría de funcionescálculo literalpropiedades de potencias y radicalescalculo de monomios y polinomiosCada tema se trata destacando las aplicaciones prácticas y resolviendo algunos ejercicios significativos.

This book presents the mathematics of quantum computation. The purpose is to introduce the topic of quantum computing to students in computer science, physics and mathematics who have no prior knowledge of this field.

This book is a re-assessment of the structure and reach of symmetry, by an interdisciplinary group of specialists from the arts, humanities, and sciences at Oxford University. This book aims to open up the scope of interdisciplinary work in the study of symmetry and is intended for scholars of any background.

"Discrete quantum walks are quantum analogues of classical random walks. They are an important tool in quantum computing and a number of algorithms can be viewed as discrete quantum walks, in particular Grover's search algorithm. These walks are constructed on an underlying graph, and so there is a relation between properties of walks and properties of the graph. This book studies the mathematical problems that arise from this connection, and the different classes of walks that arise. Written at a level suitable for graduate students in mathematics, the only prerequisites are linear algebra and basic graph theory; no prior knowledge of physics is required. The text serves as an introduction to this important and rapidly developing area for mathematicians and as a detailed reference for computer scientists and physicists working on quantum information theory"--

This CoPart is a dual complement to Visual Category Theory Brick by Brick, Part 2.

This CoPart is a dual complement to Visual Category Theory Brick by Brick, Part 1.

Set Theory for BeginnersSet Theory for Beginners consists of a series of basic to intermediate lessons in set theory. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Set Theory for Beginners is perfect forprofessors teaching an undergraduate course or basic graduate course in set theoryhigh school teachers working with advanced math studentsstudents wishing to see the type of mathematics they would be exposed to as a math major.The material in this pure math book includes:16 lessons consisting of basic to intermediate topics in set theory and mathematical logic.A problem set after each lesson arranged by difficulty level.A complete solution guide is included as a downloadable PDF file.Set Theory Book Table Of Contents (Selected) Here's a selection from the table of contents:Introduction Lesson 1 - SetsLesson 2 - SubsetsLesson 3 - Operations on SetsLesson 4 - RelationsLesson 5 - Equivalence Relations and PartitionsLesson 6 - FunctionsLesson 7 - EquinumerosityLesson 8 - Induction and Recursion on NLesson 9 - Propositional LogicLesson 10 - First-order LogicLesson 11 - Axiomatic Set TheoryLesson 12 - OrdinalsLesson 13 - CardinalsLesson 14 - Martin's AxiomLesson 15 - The Field of Real NumbersLesson 16 - Clubs and Stationary Sets