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Data Visualization with Category Theory and Geometry

With a Critical Analysis and Refinement of UMAP

de Lukas Silvester Barth, Hannaneh Fahimi, Parvaneh Joharinad, Jürgen Jost, Janis Keck ...

Series series Mathematics and Statistics (R0)
This open access book provides a robust exposition of the mathematical foundations of data representation, focusing on two essential pillars of dimensionality reduction methods, namely geometry in general and Riemannian geometry in particular, and category theory.Presenting a list of examples consisting of both geometric objects and empirical datasets, this book provides insights into the ... Leer más

Gratis

This open access book provides a robust exposition of the mathematical foundations of data representation, focusing on two essential pillars of dimensionality reduction methods, namely geometry in general and Riemannian geometry in particular, and category theory.Presenting a list of examples consisting of both geometric objects and empirical datasets, this book provides insights into the
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Math Without Numbers

de Milo Beckman ...

An illustrated tour of the structures and patterns we call "math"The only numbers in this book are the page numbers.Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively ... Leer más

$5,349 CLP

An illustrated tour of the structures and patterns we call "math"The only numbers in this book are the page numbers.Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively
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Computation of Generalized Matrix Inverses and Applications

de Ivan Stanimirović ...

This volume offers a gradual exposition to matrix theory as a subject of linear algebra. It presents both the theoretical results in generalized matrix inverses and the applications. The book is as self-contained as possible, assuming no prior knowledge of matrix theory and linear algebra.The book first addresses the basic definitions and concepts of an arbitrary generalized matrix inverse with ... Leer más

Antes $176,119 CLP Ahora $157,480 CLP

This volume offers a gradual exposition to matrix theory as a subject of linear algebra. It presents both the theoretical results in generalized matrix inverses and the applications. The book is as self-contained as possible, assuming no prior knowledge of matrix theory and linear algebra.The book first addresses the basic definitions and concepts of an arbitrary generalized matrix inverse with
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Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups

de Nick Gill, Martin W. Liebeck, Pablo Spiga ...

Series series Mathematics and Statistics (R0)
This book gives a proof of Cherlin’s conjecture for finite binary primitive permutation groups. Motivated by the part of model theory concerned with Lachlan’s theory of finite homogeneous relational structures, this conjecture proposes a classification of those finite primitive permutation groups that have relational complexity equal to 2.The first part gives a full introduction to Cherlin’s ... Leer más

$59,745 CLP

This book gives a proof of Cherlin’s conjecture for finite binary primitive permutation groups. Motivated by the part of model theory concerned with Lachlan’s theory of finite homogeneous relational structures, this conjecture proposes a classification of those finite primitive permutation groups that have relational complexity equal to 2.The first part gives a full introduction to Cherlin’s
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Grundzüge der Kategorientheorie

de Christian Maurer ...

Series series Life Science and Basic Disciplines (German Language)
Das Buch soll Mathematik-Studierenden eine Einführung in die Kategorientheorie geben. Nach einem einführenden Kapitel, in dem alle Grundbegriffe der Kategorientheorie definiert und erklärt werden, wird das Konzept der adjungierten Funktoren vorgestellt und gezeigt, was sie mit Lösungen universeller Probleme zu tun haben. Es folgt ein Kapitel über Limites, die sich als spezielle Adjunktionen ... Leer más

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Das Buch soll Mathematik-Studierenden eine Einführung in die Kategorientheorie geben. Nach einem einführenden Kapitel, in dem alle Grundbegriffe der Kategorientheorie definiert und erklärt werden, wird das Konzept der adjungierten Funktoren vorgestellt und gezeigt, was sie mit Lösungen universeller Probleme zu tun haben. Es folgt ein Kapitel über Limites, die sich als spezielle Adjunktionen
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Number Theory And Its Applications

de Fuhuo Li, Nianliang Wang, Shigeru Kanemitsu ...

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the celebrated Gauss quadratic reciprocity law is proved in four independent ways, which are in ... Leer más

Antes $22,667 CLP Ahora $20,269 CLP

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the celebrated Gauss quadratic reciprocity law is proved in four independent ways, which are in
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Adventures in Group Theory

Rubik's Cube, Merlin's Machine, and Other Mathematical Toys

de David Joyner ...

This updated and revised edition of David Joyner’s entertaining “hands-on” tour of group theory and abstract algebra brings life, levity, and practicality to the topics through mathematical toys.Joyner uses permutation puzzles such as the Rubik’s Cube and its variants, the 15 puzzle, the Rainbow Masterball, Merlin’s Machine, the Pyraminx, and the Skewb to explain the basics of introductory algebra ... Leer más

Antes $33,495 CLP Ahora $29,950 CLP

This updated and revised edition of David Joyner’s entertaining “hands-on” tour of group theory and abstract algebra brings life, levity, and practicality to the topics through mathematical toys.Joyner uses permutation puzzles such as the Rubik’s Cube and its variants, the 15 puzzle, the Rainbow Masterball, Merlin’s Machine, the Pyraminx, and the Skewb to explain the basics of introductory algebra
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Language and Automata Theory and Applications

10th International Conference, LATA 2016, Prague, Czech Republic, March 14-18, 2016, Proceedings

Edición de Adrian-Horia Dediu, Bianca Truthe, Carlos Martín-Vide, Jan Janoušek ...

Series series Springer Nature Proceedings Computer Science
This book constitutes the refereed proceedings of the 10th International Conference on Language and Automata Theory and Applications, LATA 2016, held in Prague, Czech Republic, in March 2016.The 42 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 119 submissions. The papers cover the following topics: algebraic language theory; algorithms for ... Leer más

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This book constitutes the refereed proceedings of the 10th International Conference on Language and Automata Theory and Applications, LATA 2016, held in Prague, Czech Republic, in March 2016.The 42 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 119 submissions. The papers cover the following topics: algebraic language theory; algorithms for
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Second Step To Mathematical Olympiad Problems, A

de Derek Allan Holton ...

Series Libro 7 - Mathematical Olympiad Series
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Stability of Neutral Functional Differential Equations

de Michael I. Gil' ...

Series Libro 3 - Atlantis Studies in Differential Equations
In this monograph the author presents explicit conditions for the exponential, absolute and input-to-state stabilities including solution estimates of certain types of functional differential equations.The main methodology used is based on a combination of recent norm estimates for matrix-valued functions, comprising the generalized Bohl-Perron principle, together with its integral version and the ... Leer más

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In this monograph the author presents explicit conditions for the exponential, absolute and input-to-state stabilities including solution estimates of certain types of functional differential equations.The main methodology used is based on a combination of recent norm estimates for matrix-valued functions, comprising the generalized Bohl-Perron principle, together with its integral version and the
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Enhancing conceptual understanding of variables with videos

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de Stefan Korntreff ...

Series series Education and Social Work (German Language)
One of the most difficult instructional challenges in secondary mathematics education is enhancing low-achieving students’ understanding of variables. Although instructional videos have the potential to promote students’ understanding, their effectiveness depends on empirically grounded, content-related designs that secure students’ conceptual focus and cognitive engagement. This book addresses ... Leer más

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One of the most difficult instructional challenges in secondary mathematics education is enhancing low-achieving students’ understanding of variables. Although instructional videos have the potential to promote students’ understanding, their effectiveness depends on empirically grounded, content-related designs that secure students’ conceptual focus and cognitive engagement. This book addresses
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A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry

de Carlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana ...

Series series Mathematics and Statistics (R0)
This book offers a gentle introduction to key elements of Geometric Algebra, along with their applications in Physics, Robotics and Molecular Geometry. Major applications covered are the physics of space-time, including Maxwell electromagnetism and the Dirac equation; robotics, including formulations for the forward and inverse kinematics and an overview of the singularity problem for serial ... Leer más

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This book offers a gentle introduction to key elements of Geometric Algebra, along with their applications in Physics, Robotics and Molecular Geometry. Major applications covered are the physics of space-time, including Maxwell electromagnetism and the Dirac equation; robotics, including formulations for the forward and inverse kinematics and an overview of the singularity problem for serial
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Abstract Algebra via Numbers

de Lars Tuset ...

Series series Mathematics and Statistics (R0)
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 things slowly, by explaining the importance of proofs. Number theory with its focus on prime numbers is then bridged via complex numbers and linear algebra, to the standard concepts of a course in ... Leer más

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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 things slowly, by explaining the importance of proofs. Number theory with its focus on prime numbers is then bridged via complex numbers and linear algebra, to the standard concepts of a course in
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Multiple Dirichlet Series, L-functions and Automorphic Forms

Edición de Solomon Friedberg, Dorian Goldfeld, Daniel Bump ...

Series series Mathematics and Statistics (R0)
Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics. As such, it represents a new way in which areas including number theory, combinatorics, statistical ... Leer más

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Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics. As such, it represents a new way in which areas including number theory, combinatorics, statistical
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Solving Diophantine Problems

de John Cramer ...

Diophantine problems are word problems that essentially set up algebraic equations to be solved for positive integer or at least rational solutions. They are typically under-determined which opens up the possibility, if not the likelihood, of multiple solutions. This under-determined nature lends an air of mystery to them that adds to their fascination. Solving them seems magical because one ... Leer más

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Diophantine problems are word problems that essentially set up algebraic equations to be solved for positive integer or at least rational solutions. They are typically under-determined which opens up the possibility, if not the likelihood, of multiple solutions. This under-determined nature lends an air of mystery to them that adds to their fascination. Solving them seems magical because one
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Linear Algebra

de Peter Petersen ...

Series series Mathematics and Statistics (R0)
This textbook on linear algebra includes the key topics of the subject that most advanced undergraduates need to learn before entering graduate school. All the usual topics, such as complex vector spaces, complex inner products, the Spectral theorem for normal operators, dual spaces, the minimal polynomial, the Jordan canonical form, and the rational canonical form, are covered, along with a ... Leer más

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This textbook on linear algebra includes the key topics of the subject that most advanced undergraduates need to learn before entering graduate school. All the usual topics, such as complex vector spaces, complex inner products, the Spectral theorem for normal operators, dual spaces, the minimal polynomial, the Jordan canonical form, and the rational canonical form, are covered, along with a
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Analytic Aspects of Convexity

Edición de Gabriele Bianchi, Andrea Colesanti, Paolo Gronchi ...

Series series Mathematics and Statistics (R0)
This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world’s leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will ... Leer más

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This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world’s leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will
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Introduction to Tensor Analysis and the Calculus of Moving Surfaces

de Pavel Grinfeld ...

Series series Mathematics and Statistics (R0)
This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds.Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once ... Leer más

$54,314 CLP

This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds.Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once
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Varieties of Nodal Surfaces, Coding Theory and Discriminants of Cubic Hypersurfaces

Edición de Fabrizio Catanese ...

Series series Mathematics and Statistics (R0)
This research book deals with some classical problems of algebraic geometry, notably the problem about the maximal number of singularities that a nodal variety can have, and the problem about the description of the components of the Severi varieties of nodal surfaces. A complete solution is found for nodal quartic surfaces in 3-space and for nodal K3 surfaces. New striking results are found also ... Leer más

$119,502 CLP

This research book deals with some classical problems of algebraic geometry, notably the problem about the maximal number of singularities that a nodal variety can have, and the problem about the description of the components of the Severi varieties of nodal surfaces. A complete solution is found for nodal quartic surfaces in 3-space and for nodal K3 surfaces. New striking results are found also
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100 Ejercicios Resueltos: Multiplicación de Números con Signo

100 Ejercicios Resueltos – Serie de Práctica Matemática, #2

de BELAID OUHARROU ALRAIS ...

Series Libro 2 - 100 Ejercicios Resueltos – Serie de Práctica Matemática
Domina la multiplicación de números con signo – ¡A base de práctica, no teoría!¿Multiplicar números positivos y negativos te hace dudar? No te preocupes, no eres el único. Este libro está pensado para que entiendas cómo funcionan los signos al multiplicar — y lo hagas practicando, no leyendo largas explicaciones teóricas.Con 100 ejercicios organizados paso a paso, vas a mejorar tu dominio de la ... Leer más

$1,699 CLP o gratis con Kobo Plus

Domina la multiplicación de números con signo – ¡A base de práctica, no teoría!¿Multiplicar números positivos y negativos te hace dudar? No te preocupes, no eres el único. Este libro está pensado para que entiendas cómo funcionan los signos al multiplicar — y lo hagas practicando, no leyendo largas explicaciones teóricas.Con 100 ejercicios organizados paso a paso, vas a mejorar tu dominio de la
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Wiley-Schnellkurs Lineare Algebra

de Thoralf Räsch ...

Series series Wiley Schnellkurs
Sie ist nicht beliebt und manchmal schwer zu verstehen: die Lineare Algebra. Aber keine Sorge: Thoralf Räsch hat ein kompaktes und verständliches Buch geschrieben, das Ihnen hilft, die Grundlagen der Linearen Algebra zu verstehen. Er erklärt Ihnen, was Sie über die algebraischen Grundlagen, Vektorräume, Lineare Gleichungssysteme und Matrizen wissen sollten. Auch die komplexen Zahlen kommen nicht ... Leer más

$14,623 CLP

Sie ist nicht beliebt und manchmal schwer zu verstehen: die Lineare Algebra. Aber keine Sorge: Thoralf Räsch hat ein kompaktes und verständliches Buch geschrieben, das Ihnen hilft, die Grundlagen der Linearen Algebra zu verstehen. Er erklärt Ihnen, was Sie über die algebraischen Grundlagen, Vektorräume, Lineare Gleichungssysteme und Matrizen wissen sollten. Auch die komplexen Zahlen kommen nicht
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Schaum's Outline of Linear Algebra, 5th Edition

de Seymour Lipschutz, Marc Lipson ...

Tough Test Questions? Missed Lectures? Not Enough Time?Fortunately, there's Schaum's.More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of ... Leer más

Antes $17,670 CLP Ahora $15,801 CLP

Tough Test Questions? Missed Lectures? Not Enough Time?Fortunately, there's Schaum's.More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of
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Quantum Lie Theory

A Multilinear Approach

de Vladislav Kharchenko ...

Series series Mathematics and Statistics (R0)
This is an introduction to the mathematics behind the phrase “quantum Lie algebra”. The numerous attempts over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary “quantum” Lie bracket have not been widely accepted. In this book, an alternative approach is developed that includes multivariable operations. Among the problems discussed are the following: ... Leer más

$59,745 CLP

This is an introduction to the mathematics behind the phrase “quantum Lie algebra”. The numerous attempts over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary “quantum” Lie bracket have not been widely accepted. In this book, an alternative approach is developed that includes multivariable operations. Among the problems discussed are the following:
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Math Common Core Algebra 1

Speedy Study Guides

de Speedy Publishing ...

Math can be a difficult subject that will require a person to both learn some important skills, and they will also have to memorize things like different kinds of formulas. The more that a students spends doing these things, the better score they will get on their test. This is why a student will greatly benefit by having a common core algebra study guide. The guide contains the information that a ... Leer más

Antes $5,670 CLP Ahora $5,069 CLP

Math can be a difficult subject that will require a person to both learn some important skills, and they will also have to memorize things like different kinds of formulas. The more that a students spends doing these things, the better score they will get on their test. This is why a student will greatly benefit by having a common core algebra study guide. The guide contains the information that a
... Leer más

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eBooks de Álgebra

Data Visualization with Category Theory and Geometry

Math Without Numbers

Computation of Generalized Matrix Inverses and Applications

Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups

Grundzüge der Kategorientheorie

Number Theory And Its Applications

Adventures in Group Theory

Language and Automata Theory and Applications

Second Step To Mathematical Olympiad Problems, A

Stability of Neutral Functional Differential Equations

Enhancing conceptual understanding of variables with videos

A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry

Abstract Algebra via Numbers

Multiple Dirichlet Series, L-functions and Automorphic Forms

Solving Diophantine Problems

Linear Algebra

Analytic Aspects of Convexity

Introduction to Tensor Analysis and the Calculus of Moving Surfaces

Varieties of Nodal Surfaces, Coding Theory and Discriminants of Cubic Hypersurfaces

100 Ejercicios Resueltos: Multiplicación de Números con Signo

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Math Common Core Algebra 1