Arithmetik, Algebra
(GENERALIZED) FUZZY MATRICES AND RELATIONS
The book provides an overview of the main concepts and results related to fuzzy matrices and fuzzy relations, using 'fuzzy' in a general sense to mean many-valued. This overview, along with numerous references to original contributions dispersed across various journals, serves as a comprehensive guide for further exploration.This volume can be viewed in two ways: (i) as a companion to the author's previous work, "Relations: Concrete, Abstract, and Applied" (published by WSPC, 2020), but with a distinct emphasis on many-valued concepts; or (ii) as a standalone volume that can be read independently, which necessarily includes some repetition of material from the earlier book as preliminary or reference content.Similar to the previous book, this one does not present new findings but offers a self-contained compilation of known results selected from the extensive research conducted over the past five decades, arranged in a systematic manner.The topics covered in this text have been the subject of intensive research over the last two decades, yet there has been no book publication on this subject for over 15 years. This book aims to bridge that gap.
(Mostly) Commutative Algebra
This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At that level, students have already followed a basic course in linear algebra and are essentially fluent with the language of vector spaces over fields. The topics introduced include arithmetic of rings, modules, especially principal ideal rings and the classification of modules over such rings, Galois theory, as well as an introduction to more advanced topics such as homological algebra, tensor products, and algebraic concepts involved in algebraic geometry. More than 300 exercises will allow the reader to deepen his understanding of the subject. The book also includes 11 historical vignettes about mathematicians who contributed to commutative algebra.
*- Autonomous Categories
0-ideals in Almost Distributive Lattices
100 Days of Timed Tests, Multiplication, and Division Facts 1 to 12, Grade 3-5, Math Drills, Daily Practice Workbook
This "100 Days of Timed Tests: Multiplication, and Division facts 1 to 12" is the beginner-level math practice workbook for Grade 3-5 kids. This book is specifically designed for numbers between 1 and 12. These sets of math practice worksheets are designed to test Multiplication and division problem-solving skills. The kids can challenge themselves with the timed test problems. This book mainly focuses on improving math facts skills, speed, and building confidence levels. This book also has an Answer Key sheet at the end of the book so that you can quickly check the kid's answer. In this book, there are 60 problems to be solved on a daily basis and a total of 100 pages of Timed test practice worksheets. It helps the kids to perform consistently and is trained to be excellent in multiplication, and division. Table of Contents:100 Pages of Timed Test Multiplication & Division Problem SheetsMultiplication & Division Answer Key SheetsMultiplication & Division Times Table (1 to 12)Certificate of excellenceGet plenty of division math practice! Get Excellent in Math! Get today for your kids!
100+ Days of Timed Tests - Double Digit Addition and Subtraction Practice Workbook, Math Drills for Grade 1-3, Ages 6-9
This "100+ Days of Timed Tests: Double Digit Addition and Subtraction Practice Workbook" is the beginner's level math practice workbook for grades 1 to 3. This book is specifically designed for numbers up to 99 (double digit). These set of math practice worksheets are designed to test addition and subtraction with and without regrouping (or carrying). The kids can challenge themselves with the timed test problems. This book mainly focuses on improving both addition & subtraction skills and building confidence levels. This book contains Answer Key sheets at the end of the book so that you can easily check the kid's answer. There are 60 problems to be solved on a daily basis with a total of 110 timed test sheets. It helps the kids to perform consistently and trained to be excellent in addition and subtraction. It also has Bonus pages to get the kids ready for the higher number addition and subtraction. Table of Contents:55 Pages of Timed Test Addition Sheets55 Pages of Timed Test Subtraction SheetsBonus Page: Three Digits Addition SheetBonus Page: Three Digits Subtraction SheetAddition Answer Key SheetSubtraction Answer Key SheetCertificate of excellenceGet plenty of math practice! Excellence in Math! Get today for your smart kids!Click Author "abcZbook Press" for other books.
100+ Days of Timed Tests - Triple Digit Addition and Subtraction Practice Workbook, Math Drills For Grade 2-3, Ages 7-9
This "100+ Days of Timed Tests - Triple Digit Addition & Subtraction" is the beginner's level math practice workbook for grades 2 to 3. This book is specifically designed for numbers up to 999 (three-digit). This set of math practice worksheets is designed to test addition and subtraction with and without regrouping. The kids can challenge themselves with the timed test problems. This book mainly focuses on improving addition & subtraction and building confidence levels. This book also has Addition and Subtraction Answer Key sheets at the end of the book, so that you can easily check the kid's answer. In this book, there are 30 problems to be solved daily and a total of 102 pages of Timed test practice sheets. It helps the kids to perform consistently and trained to be excellent in addition & subtraction. Table of Contents:51 Pages of Timed Tests Addition Sheets51 Pages of Timed Test Subtraction SheetsAddition Answer Key SheetSubtraction Answer Key SheetCertificate of excellenceGet plenty of math practice! Excellence in Math! Get today for your smart kids! Grab a copy for a friend or classmate and practice the math skills together! Perfect for classroom math practice with a placeholder on each page to write student's name and date. Click Author "abcZbook Press" for other books.
13 Lectures on Fermat's Last Theorem
Fermat's problem, also ealled Fermat's last theorem, has attraeted the attention of mathematieians far more than three eenturies. Many clever methods have been devised to attaek the problem, and many beautiful theories have been ereated with the aim of proving the theorem. Yet, despite all the attempts, the question remains unanswered. The topie is presented in the form of leetures, where I survey the main lines of work on the problem. In the first two leetures, there is a very brief deseription of the early history , as well as a seleetion of a few of the more representative reeent results. In the leetures whieh follow, I examine in sue eession the main theories eonneeted with the problem. The last two lee tu res are about analogues to Fermat's theorem. Some of these leetures were aetually given, in a shorter version, at the Institut Henri Poineare, in Paris, as well as at Queen's University, in 1977. I endeavoured to produee a text, readable by mathematieians in general, and not only by speeialists in number theory. However, due to a limitation in size, I am aware that eertain points will appear sketehy. Another book on Fermat's theorem, now in preparation, will eontain a eonsiderable amount of the teehnieal developments omitted here. It will serve those who wish to learn these matters in depth and, I hope, it will clarify and eomplement the present volume.
13 Lectures on Fermat's Last Theorem
Fermat's problem, also ealled Fermat's last theorem, has attraeted the attention of mathematieians far more than three eenturies. Many clever methods have been devised to attaek the problem, and many beautiful theories have been ereated with the aim of proving the theorem. Yet, despite all the attempts, the question remains unanswered. The topie is presented in the form of leetures, where I survey the main lines of work on the problem. In the first two leetures, there is a very brief deseription of the early history , as well as a seleetion of a few of the more representative reeent results. In the leetures whieh follow, I examine in sue eession the main theories eonneeted with the problem. The last two lee tu res are about analogues to Fermat's theorem. Some of these leetures were aetually given, in a shorter version, at the Institut Henri Poineare, in Paris, as well as at Queen's University, in 1977. I endeavoured to produee a text, readable by mathematieians in general, and not only by speeialists in number theory. However, due to a limitation in size, I am aware that eertain points will appear sketehy. Another book on Fermat's theorem, now in preparation, will eontain a eonsiderable amount of the teehnieal developments omitted here. It will serve those who wish to learn these matters in depth and, I hope, it will clarify and eomplement the present volume.
17 Lectures on Fermat Numbers
1st Grade Jumbo Workbook | Spelling, Reading & Math
Spelling, reading and math in one book? Yes, you can learn them; and all on your own. You have this wonderful resource to help you grow your vocabulary and math skills, too. You can use this book to complement your school's textbooks. You can also use this book as an advanced learning tool to keep you ahead of your peers. Grab a copy today!
1st Grade Math Learning Games
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1st Grade Math Workbooks
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2-Cohomologie Galoisienne Des Groupes Semi-Simples
2-Dimensional Categories
Category theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane. It describes relationships between mathematical structures. Outside of pure mathematics, category theory is an important tool in physics, computer science, linguistics, and a quickly-growing list of other sciences. This book is about 2-dimensional categories, which add an extra dimension of richness and complexity to category theory. 2-Dimensional Categories is an introduction to 2-categories and bicategories, assuming only the most elementary aspects of category theory. A review of basic category theory is followed by a systematic discussion of 2-/bicategories, pasting diagrams, lax functors, 2-/bilimits, the Duskin nerve, 2-nerve, internal adjunctions, monads in bicategories, 2-monads, biequivalences, the Bicategorical Yoneda Lemma, and the Coherence Theorem for bicategories. Grothendieck fibrations and the Grothendieck construction are discussed next, followed by tricategories, monoidal bicategories, the Gray tensor product, and double categories. Completely detailed proofs of several fundamental but hard-to-find results are presented for the first time. With exercises and plenty of motivation and explanation, this book is useful for both beginners and experts.
2016 MATRIX Annals
MATRIX is Australiäs international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 1-4 weeks. This book is a scientific record of the five programs held at MATRIX in its first year, 2016: - Higher Structures in Geometry and Physics - Winter of Disconnectedness - Approximation and Optimisation - Refining C*-Algebraic Invariants for Dynamics using KK-theory - Interactions between Topological Recursion, Modularity, Quantum Invariants and Low- dimensional Topology The MATRIX Scientific Committee selected these programs based on their scientific excellence and the participation rate of high-profile international participants. Each program included ample unstructured time to encourage collaborative research; some of the longer programs also included an embedded conference or lecture series.The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on selected topics related to the MATRIX program; the remaining contributions are predominantly lecture notes based on talks or activities at MATRIX.
2016 MATRIX Annals
MATRIX is Australiäs international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 1-4 weeks. This book is a scientific record of the five programs held at MATRIX in its first year, 2016: - Higher Structures in Geometry and Physics - Winter of Disconnectedness - Approximation and Optimisation - Refining C*-Algebraic Invariants for Dynamics using KK-theory - Interactions between Topological Recursion, Modularity, Quantum Invariants and Low- dimensional Topology The MATRIX Scientific Committee selected these programs based on their scientific excellence and the participation rate of high-profile international participants. Each program included ample unstructured time to encourage collaborative research; some of the longer programs also included an embedded conference or lecture series.The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on selected topics related to the MATRIX program; the remaining contributions are predominantly lecture notes based on talks or activities at MATRIX.
2018 MATRIX Annals
MATRIX is Australia's international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in 2018:- Non-Equilibrium Systems and Special Functions- Algebraic Geometry, Approximation and Optimisation- On the Frontiers of High Dimensional Computation- Month of Mathematical Biology- Dynamics, Foliations, and Geometry In Dimension 3- Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type- Functional Data Analysis and Beyond- Geometric and Categorical Representation TheoryThe articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.