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Algebra: A Complete Introduction

The Easy Way to Learn Algebra

by Hugh Neill ...

Algebra: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using Algebra.Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge.The book covers all the key areas of algebra including elementary operations, linear equations, formulae, simultaneous equations, quadratic ... Read more

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Algebra: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using Algebra.Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge.The book covers all the key areas of algebra including elementary operations, linear equations, formulae, simultaneous equations, quadratic
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Basic Modern Algebra with Applications

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The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a way that it encourages independent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that ... Read more

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The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a way that it encourages independent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that
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Polyadic Algebraic Structures

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Series series IOP ebooks
The book is devoted to the thorough study of polyadic (higher arity) algebraic structures, which has a long history, starting from 19th century. The main idea was to take a single set, closed under one binary operation, and to “generalize” it by increasing the arity of the operation, called a polyadic operation. Until now, a general approach to polyadic concrete many-set algebraic structures was ... Read more

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The book is devoted to the thorough study of polyadic (higher arity) algebraic structures, which has a long history, starting from 19th century. The main idea was to take a single set, closed under one binary operation, and to “generalize” it by increasing the arity of the operation, called a polyadic operation. Until now, a general approach to polyadic concrete many-set algebraic structures was
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Graph Energy

by Xueliang Li, Yongtang Shi, Ivan Gutman ...

This book is about graph energy. The authors have included many of the important results on graph energy, such as the complete solution to the conjecture on maximal energy of unicyclic graphs, the Wagner-Heuberger’s result on the energy of trees, the energy of random graphs or the approach to energy using singular values. It contains an extensive coverage of recent results and a gradual ... Read more

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This book is about graph energy. The authors have included many of the important results on graph energy, such as the complete solution to the conjecture on maximal energy of unicyclic graphs, the Wagner-Heuberger’s result on the energy of trees, the energy of random graphs or the approach to energy using singular values. It contains an extensive coverage of recent results and a gradual
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Computations with Modular Forms

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Edited by Gebhard Böckle, Gabor Wiese ...

Series series Springer Nature Proceedings excluding Computer Science
This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg. A key theme of the Conference and Summer School was the interplay between theory, algorithms and experiment.The 14 papers offer readers both, instructional courses on the latest algorithms for ... Read more

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This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg. A key theme of the Conference and Summer School was the interplay between theory, algorithms and experiment.The 14 papers offer readers both, instructional courses on the latest algorithms for
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Arithmetic of Finite Fields

6th International Workshop, WAIFI 2016, Ghent, Belgium, July 13-15, 2016, Revised Selected Papers

Edited by Sylvain Duquesne, Svetla Petkova-Nikova ...

Series series Springer Nature Proceedings Computer Science
This book constitutes the thoroughly refereed post-workshop proceedings of the 6th International Workshop on the Arithmetic of Finite Field, WAIFI 2016, held in Ghent, Belgium, in July 2016.The 14 revised full papers and 3 invited talks presented were carefully reviewed and selected from 38 submissions. The papers are organized in topical sections on invited talks; elliptic curves; applications; ... Read more

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This book constitutes the thoroughly refereed post-workshop proceedings of the 6th International Workshop on the Arithmetic of Finite Field, WAIFI 2016, held in Ghent, Belgium, in July 2016.The 14 revised full papers and 3 invited talks presented were carefully reviewed and selected from 38 submissions. The papers are organized in topical sections on invited talks; elliptic curves; applications;
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Geometry of Continued Fractions

by Oleg Karpenkov ...

Series series Mathematics and Statistics (R0)
Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas ... Read more

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Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas
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Algebra Part 2

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This advanced QuickStudy guide is designed for students who are already familiar with Algebra 1. This guide is hole-punched for easy use. Covered topics include real number lines, graphing and lines, types of functions, sequences and series, conic sections, problems and solutions and much more! ... Read more

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This advanced QuickStudy guide is designed for students who are already familiar with Algebra 1. This guide is hole-punched for easy use. Covered topics include real number lines, graphing and lines, types of functions, sequences and series, conic sections, problems and solutions and much more!
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Algebra Lineare e Geometria. Esercizi e temi d'esame con svolgimento

by Paolo Dulio, Walter Pacco ...

Il testo ha il duplice obiettivo di fornire allo studente nozioni di principi fondamentali dell’algebra lineare e di applicazioni del metodo delle coordinate della geometria analitica.Viene trattato lo studio dei vettori geometrici, delle matrici, delle operazioni relative e viene sviluppata la teoria dei sistemi lineari.Si considerano la costruzione e lo studio degli spazi vettoriali e delle ... Read more

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Il testo ha il duplice obiettivo di fornire allo studente nozioni di principi fondamentali dell’algebra lineare e di applicazioni del metodo delle coordinate della geometria analitica.Viene trattato lo studio dei vettori geometrici, delle matrici, delle operazioni relative e viene sviluppata la teoria dei sistemi lineari.Si considerano la costruzione e lo studio degli spazi vettoriali e delle
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The Theory of Everything

Quantum and Relativity is everywhere – A Fermat Universe

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The book unifies quantum theory and the general theory of relativity. As an unsolved problem for about 100 years and influencing so many fields, this is probably of some importance to the scientific community. Examples like Higgs field, limit to classical Dirac and Klein–Gordon or Schrödinger cases, quantized Schwarzschild, Kerr, Kerr–Newman objects, and the photon are considered for illustration. ... Read more

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Recent Progress on the Donaldson–Thomas Theory

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by Yukinobu Toda ...

Series Book 43 - SpringerBriefs in Mathematical Physics
This book is an exposition of recent progress on the Donaldson–Thomas (DT) theory. The DT invariant was introduced by R. Thomas in 1998 as a virtual counting of stable coherent sheaves on Calabi–Yau 3-folds. Later, it turned out that the DT invariants have many interesting properties and appear in several contexts such as the Gromov–Witten/Donaldson–Thomas conjecture on curve-counting theories, ... Read more

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This book is an exposition of recent progress on the Donaldson–Thomas (DT) theory. The DT invariant was introduced by R. Thomas in 1998 as a virtual counting of stable coherent sheaves on Calabi–Yau 3-folds. Later, it turned out that the DT invariants have many interesting properties and appear in several contexts such as the Gromov–Witten/Donaldson–Thomas conjecture on curve-counting theories,
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Hopf Algebras and Their Generalizations from a Category Theoretical Point of View

by Gabriella Böhm ...

Series series Mathematics and Statistics (R0)
These lecture notes provide a self-contained introduction to a wide range of generalizations of Hopf algebras. Multiplication of their modules is described by replacing the category of vector spaces with more general monoidal categories, thereby extending the range of applications.Since Sweedler's work in the 1960s, Hopf algebras have earned a noble place in the garden of mathematical structures. ... Read more

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These lecture notes provide a self-contained introduction to a wide range of generalizations of Hopf algebras. Multiplication of their modules is described by replacing the category of vector spaces with more general monoidal categories, thereby extending the range of applications.Since Sweedler's work in the 1960s, Hopf algebras have earned a noble place in the garden of mathematical structures.
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Untaught Math

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Sidney Krimsky tutored high school math students during high school. He graduated from CCNY with a degree in engineering physics. He tutored high school math part-time during the 1960's as a volunteer while working full time as an engineer. After retirement he joined the RE-SEED Program managed by the College of Education at Northeastern University in Boston in which about 90 STEM retirees
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constitutive of reference in laboratory sciences as cultural sign systems and their manipulation and superposition, collectively shared classifications and associated conceptual frameworks,· and various fonns of collective action and social institutions. This raises the question of how much modes of representation, and specific types of sign systems mobilized to construct them, contribute to
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Group of Homomorphism of Normal Subgroup is Normal

by Homework Help Classof1 ...

Let φ : G → G’ be a group of homomorphism and let N be a normal subgroup G. Show that φ(N) is normal in G’. ... Read more

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Let φ : G → G’ be a group of homomorphism and let N be a normal subgroup G. Show that φ(N) is normal in G’.
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Solving System of Equations by Using Augmented Matrices - II

by Homework Help Classof1 ...

"Use augmented matrices to solve the following systems of equations. " ... Read more

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"Use augmented matrices to solve the following systems of equations. "
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Mastering Essential Math Skills, Book 1: Grades 4 and 5, 3rd Edition

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Used by hundreds of thousands of students each yearPerfect Math For Students Who Are Math ChallengedIncludes award-winning online video tutorials. One for each lesson in the BookLessons are presented in a format that everyone can understandEach Lesson flows smoothly and logically to the nextEach lesson is short, concise, and to the pointLots of examples with step-by -step solutionsEach lesson ... Read more

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Used by hundreds of thousands of students each yearPerfect Math For Students Who Are Math ChallengedIncludes award-winning online video tutorials. One for each lesson in the BookLessons are presented in a format that everyone can understandEach Lesson flows smoothly and logically to the nextEach lesson is short, concise, and to the pointLots of examples with step-by -step solutionsEach lesson
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Macdonald Polynomials

Commuting Family of q-Difference Operators and Their Joint Eigenfunctions

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Series series Mathematics and Statistics (R0)
This book is a volume of the Springer Briefs in Mathematical Physics and serves as an introductory textbook on the theory of Macdonald polynomials. It is based on a series of online lectures given by the author at the Royal Institute of Technology (KTH), Stockholm, in February and March 2021.Macdonald polynomials are a class of symmetric orthogonal polynomials in many variables. They include ... Read more

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This book is a volume of the Springer Briefs in Mathematical Physics and serves as an introductory textbook on the theory of Macdonald polynomials. It is based on a series of online lectures given by the author at the Royal Institute of Technology (KTH), Stockholm, in February and March 2021.Macdonald polynomials are a class of symmetric orthogonal polynomials in many variables. They include
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Chain Conditions in Commutative Rings

by Ali Benhissi ...

Series series Mathematics and Statistics (R0)
This book gathers, in a beautifully structured way, recent findings on chain conditions in commutative algebra that were previously only available in papers. The majority of chapters are self-contained, and all include detailed proofs, a wealth of examples and solved exercises, and a complete reference list. The topics covered include S-Noetherian, S-Artinian, Nonnil-Noetherian, and Strongly ... Read more

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This book gathers, in a beautifully structured way, recent findings on chain conditions in commutative algebra that were previously only available in papers. The majority of chapters are self-contained, and all include detailed proofs, a wealth of examples and solved exercises, and a complete reference list. The topics covered include S-Noetherian, S-Artinian, Nonnil-Noetherian, and Strongly
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Dialogues Between Physics and Mathematics

C. N. Yang at 100

Edited by Mo-Lin Ge, Yang-Hui He ...

Series series Mathematics and Statistics (R0)
This volume celebrates the 100th birthday of Professor Chen-Ning Frank Yang (Nobel 1957), one of the giants of modern science and a living legend. Starting with reminiscences of Yang's time at the research centre for theoretical physics at Stonybrook (now named C. N. Yang Institute) by his successor Peter van Nieuwenhuizen, the book is a collection of articles by world-renowned mathematicians and ... Read more

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This volume celebrates the 100th birthday of Professor Chen-Ning Frank Yang (Nobel 1957), one of the giants of modern science and a living legend. Starting with reminiscences of Yang's time at the research centre for theoretical physics at Stonybrook (now named C. N. Yang Institute) by his successor Peter van Nieuwenhuizen, the book is a collection of articles by world-renowned mathematicians and
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Arbeitsbuch zur linearen Algebra

Aufgaben mit ausführlichen Lösungen und Vertiefungen

by Laurenz Göllmann, Christian Henig ...

Series series Life Science and Basic Disciplines (German Language)
Dieses Arbeitsbuch enthält zahlreiche Aufgaben großer thematischer Breite und unterschiedlicher Schwierigkeitsgrade – einschließlich vollständiger und ausführlicher Lösungen.Das Buch greift als optimale Ergänzung zum Lehrbuch Lineare Algebra im algebraischen Kontext mit derselben Kapitelstruktur die dort genannten Aufgaben auf. Darüber hinaus ergänzt es weitere Übungen – zur Vertiefung oder um in ... Read more

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Dieses Arbeitsbuch enthält zahlreiche Aufgaben großer thematischer Breite und unterschiedlicher Schwierigkeitsgrade – einschließlich vollständiger und ausführlicher Lösungen.Das Buch greift als optimale Ergänzung zum Lehrbuch Lineare Algebra im algebraischen Kontext mit derselben Kapitelstruktur die dort genannten Aufgaben auf. Darüber hinaus ergänzt es weitere Übungen – zur Vertiefung oder um in
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Coherent States, Wavelets, and Their Generalizations

by Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau ...

Series series Physics and Astronomy (R0)
This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related ... Read more

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This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related
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Foundation Algebra

by Pragnesh Gajjar ...

This textbook teaches the fundamentals of algebra, keeping points clear, succinct and focused, with plenty of diagrams and practice but relatively few words. It assumes a basic knowledge but revises the key prerequisites before moving on. Definitions are highlighted for easy understanding and reference, and worked examples illustrate the explanations. Chapters are interwoven with exercises, whilst ... Read more

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This textbook teaches the fundamentals of algebra, keeping points clear, succinct and focused, with plenty of diagrams and practice but relatively few words. It assumes a basic knowledge but revises the key prerequisites before moving on. Definitions are highlighted for easy understanding and reference, and worked examples illustrate the explanations. Chapters are interwoven with exercises, whilst
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Computing and Combinatorics

30th International Conference, COCOON 2024, Shanghai, China, August 23–25, 2024, Proceedings, Part III

Edited by Yong Chen, Xiaofeng Gao, Xiaoming Sun, An Zhang ...

Series Book 3 - Springer Nature Proceedings Computer Science
This three-volume set LNCS 15161, 15162 and 15163 constitutes the refereed proceedings of the 30th International Conference, COCOON 2024, held in Shanghai, China, during August 23–25, 2024.The 90 full papers and 6 short papers were carefully reviewed and selected from 277 submissions. COCOON 2024 provided an excellent venue for researchers working in the area of algorithms, theory of computation, ... Read more

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This three-volume set LNCS 15161, 15162 and 15163 constitutes the refereed proceedings of the 30th International Conference, COCOON 2024, held in Shanghai, China, during August 23–25, 2024.The 90 full papers and 6 short papers were carefully reviewed and selected from 277 submissions. COCOON 2024 provided an excellent venue for researchers working in the area of algorithms, theory of computation,
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Algebra eBooks

Algebra: A Complete Introduction

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Algebra Lineare e Geometria. Esercizi e temi d'esame con svolgimento

The Theory of Everything

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Untaught Math

Tools and Modes of Representation in the Laboratory Sciences

Group of Homomorphism of Normal Subgroup is Normal

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Mastering Essential Math Skills, Book 1: Grades 4 and 5, 3rd Edition

Macdonald Polynomials

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Dialogues Between Physics and Mathematics

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