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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

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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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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

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Classical Groups, Derangements and Primes

de Timothy C. Burness, Michael Giudici ...

Series Libro 25 - Australian Mathematical Society Lecture Series
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A classical theorem of Jordan states that every finite transitive permutation group contains a derangement. This existence result has interesting and unexpected applications in many areas of mathematics, including graph theory, number theory and topology. Various generalisations have been studied in more recent years, with a particular focus on the existence of derangements with special properties
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Numerical Ranges of Hilbert Space Operators

de Hwa-Long Gau, Pei Yuan Wu ...

Series Libro 179 - Encyclopedia of Mathematics and its Applications
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Starting with elementary operator theory and matrix analysis, this book introduces the basic properties of the numerical range and gradually builds up the whole numerical range theory. Over 400 assorted problems, ranging from routine exercises to published research results, give you the chance to put the theory into practice and test your understanding. Interspersed throughout the text are
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Mathematical Modelling

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Series Libro 93 - Series on Advances in Mathematics for Applied Sciences
This is the first book on the problems of mathematical modelling that combines a generalised approach to the problem of mathematical modelling processes and phenomena in the real world with developing modelling methods in relation to specific objects and processes. Some of the problems discussed here include the stability and bifurcation of simplified models of supply and demand, and resultants of ... Leer más

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This is the first book on the problems of mathematical modelling that combines a generalised approach to the problem of mathematical modelling processes and phenomena in the real world with developing modelling methods in relation to specific objects and processes. Some of the problems discussed here include the stability and bifurcation of simplified models of supply and demand, and resultants of
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Series Libro 7 - Mathematical Olympiad Series
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Associative and Non-Associative Algebras and Applications

3rd MAMAA, Chefchaouen, Morocco, April 12-14, 2018

Edición de Mercedes Siles Molina, Laiachi El Kaoutit, Mohamed Louzari, L'Moufadal Ben Yakoub, Mohamed Benslimane ...

Series series Springer Nature Proceedings excluding Computer Science
This book gathers together selected contributions presented at the 3rd Moroccan Andalusian Meeting on Algebras and their Applications, held in Chefchaouen, Morocco, April 12-14, 2018, and which reflects the mathematical collaboration between south European and north African countries, mainly France, Spain, Morocco, Tunisia and Senegal. The book is divided in three parts and features contributions ... Leer más

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Edición de Marek Kuś, Bartłomiej Skowron ...

Series series Springer Nature Proceedings excluding Computer Science
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The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to processes.The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals
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Tensor Analysis

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Series series Engineering (R0)
This book presents tensors and tensor analysis as primary mathematical tools for engineering and engineering science students and researchers. The discussion is based on the concepts of vectors and vector analysis in three-dimensional Euclidean space, and although it takes the subject matter to an advanced level, the book starts with elementary geometrical vector algebra so that it is suitable as ... Leer más

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This book presents tensors and tensor analysis as primary mathematical tools for engineering and engineering science students and researchers. The discussion is based on the concepts of vectors and vector analysis in three-dimensional Euclidean space, and although it takes the subject matter to an advanced level, the book starts with elementary geometrical vector algebra so that it is suitable as
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An Introduction to Linear Algebra and Tensors

de M. A. Akivis, V. V. Goldberg ...

Traducido por Richard A. Silverman ...

Series series Dover Books on Mathematics
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Practice Makes Perfect Algebra I Review and Workbook, Second Edition

de Carolyn Wheater ...

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Zero Product Determined Algebras

de Matej Brešar ...

Series series Mathematics and Statistics (R0)
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Galois' Theory Of Algebraic Equations (Second Edition)

de Jean-pierre Tignol ...

The book gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel, and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the ... Leer más

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Quantum Lie Theory

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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

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Mathematics for Engineers

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Mathematics for Engineers offers a comprehensive treatment of the core mathematical topics required for a modern engineering degree. The book begins with an introduction to the basics of mathematical reasoning and builds up the level of complexity as it progresses. The approach of the book is to build understanding through engagement, with numerous exercises and illuminating examples throughout ... Leer más

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de Daniele C. Struppa ...

Series series Italian language eBook collection
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Higher Mathematics for Engineering and Technology

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de Mahir M. Sabzaliev, IIhama M. Sabzalieva ...

Based on and enriched by the long-term teaching experience of the authors, this volume covers the major themes of mathematics in engineering and technical specialties. The book addresses the elements of linear algebra and analytic geometry, differential calculus of a function of one variable, and elements of higher algebra. On each theme the authors first present short theoretical overviews and ... Leer más

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Two-Dimensional Constant and Product Polynomial Systems

de Albert C. J. Luo ...

Series series Mathematics and Statistics (R0)
This book is a monograph about 1-dimensional flow arrays and bifurcations in constant and product polynomial systems. The 1-dimensional flows and the corresponding bifurcation dynamics are discussed. The singular hyperbolic and hyperbolic-secant flows are presented, and the singular hyperbolic-to-hyperbolic-secant flows are discussed. The singular inflection source, sink and upper, and lower ... Leer más

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This book is a monograph about 1-dimensional flow arrays and bifurcations in constant and product polynomial systems. The 1-dimensional flows and the corresponding bifurcation dynamics are discussed. The singular hyperbolic and hyperbolic-secant flows are presented, and the singular hyperbolic-to-hyperbolic-secant flows are discussed. The singular inflection source, sink and upper, and lower
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Algebra Refresher Workbook for Adults Returning to School

Master Basic High School Algebra in 1 Month with 300+ Algebra Exercises for Beginners

de Hadden Mendoshek ...

Struggling to remember the algebra you haven’t touched since high school—just when that placement test is around the corner?Does the mere sight of a fraction send shivers down your spine?Do you dread being the oldest student in class—only to freeze when the instructor writes 2x + 3 = 9 on the board?Are you worried that “real life” has pushed math so far back that you’ll never catch up in time?If ... Leer más

$10,323 CLP o gratis con Kobo Plus

Struggling to remember the algebra you haven’t touched since high school—just when that placement test is around the corner?Does the mere sight of a fraction send shivers down your spine?Do you dread being the oldest student in class—only to freeze when the instructor writes 2x + 3 = 9 on the board?Are you worried that “real life” has pushed math so far back that you’ll never catch up in time?If
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Analytic Tools for Feynman Integrals

de Vladimir A. Smirnov ...

Series series Physics and Astronomy (R0)
The goal of this book is to describe the most powerful methods for evaluating multiloop Feynman integrals that are currently used in practice. This book supersedes the author’s previous Springer book “Evaluating Feynman Integrals” and its textbook version “Feynman Integral Calculus.” Since the publication of these two books, powerful new methods have arisen and conventional methods have been ... Leer más

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The goal of this book is to describe the most powerful methods for evaluating multiloop Feynman integrals that are currently used in practice. This book supersedes the author’s previous Springer book “Evaluating Feynman Integrals” and its textbook version “Feynman Integral Calculus.” Since the publication of these two books, powerful new methods have arisen and conventional methods have been
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Introduction to Computational Linear Algebra

de Nabil Nassif, Jocelyne Erhel, Bernard Philippe ...

Teach Your Students Both the Mathematics of Numerical Methods and the Art of Computer ProgrammingIntroduction to Computational Linear Algebra presents classroom-tested material on computational linear algebra and its application to numerical solutions of partial and ordinary differential equations. The book is designed for senior undergraduate stud ... Leer más

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Teach Your Students Both the Mathematics of Numerical Methods and the Art of Computer ProgrammingIntroduction to Computational Linear Algebra presents classroom-tested material on computational linear algebra and its application to numerical solutions of partial and ordinary differential equations. The book is designed for senior undergraduate stud
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Stochastic Processes and Applications

SPAS2017, Västerås and Stockholm, Sweden, October 4-6, 2017

Edición de Sergei Silvestrov, Anatoliy Malyarenko, Milica Rančić ...

Series series Springer Nature Proceedings excluding Computer Science
This book highlights the latest advances in stochastic processes, probability theory, mathematical statistics, engineering mathematics and algebraic structures, focusing on mathematical models, structures, concepts, problems and computational methods and algorithms important in modern technology, engineering and natural sciences applications.It comprises selected, high-quality, refereed ... Leer más

$157,324 CLP

This book highlights the latest advances in stochastic processes, probability theory, mathematical statistics, engineering mathematics and algebraic structures, focusing on mathematical models, structures, concepts, problems and computational methods and algorithms important in modern technology, engineering and natural sciences applications.It comprises selected, high-quality, refereed
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Álgebra en todas partes

de José Antonio Peña ...

Series series La Ciencia para Todos
Aunque algunos temas de álgebra le serán ya familiares al lector, como el teorema de Pitágoras, otros constituirán una novedad, y así encontrará, entre otros apasionantes temas, un estudio de la teoría de los autómatas y la relación que esto guarda con la derrota del campeón de ajedrez Kasparov "a manos" de una computadora; y una explicación de la demostración del último teorema de Fermat, acerca ... Leer más

$2,975 CLP o gratis con Kobo Plus

Aunque algunos temas de álgebra le serán ya familiares al lector, como el teorema de Pitágoras, otros constituirán una novedad, y así encontrará, entre otros apasionantes temas, un estudio de la teoría de los autómatas y la relación que esto guarda con la derrota del campeón de ajedrez Kasparov "a manos" de una computadora; y una explicación de la demostración del último teorema de Fermat, acerca
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eBooks de Álgebra

Data Visualization with Category Theory and Geometry

Math Without Numbers

Classical Groups, Derangements and Primes

Practice Makes Perfect: Algebra I Review and Workbook, Third Edition

Numerical Ranges of Hilbert Space Operators

Mathematical Modelling

Second Step To Mathematical Olympiad Problems, A

Associative and Non-Associative Algebras and Applications

Category Theory in Physics, Mathematics, and Philosophy

Tensor Analysis

An Introduction to Linear Algebra and Tensors

Practice Makes Perfect Algebra I Review and Workbook, Second Edition

Zero Product Determined Algebras

Galois' Theory Of Algebraic Equations (Second Edition)

Quantum Lie Theory

Mathematics for Engineers

Fra sequenze di petali e numeri

Higher Mathematics for Engineering and Technology

Two-Dimensional Constant and Product Polynomial Systems

Algebra Refresher Workbook for Adults Returning to School

Analytic Tools for Feynman Integrals

Introduction to Computational Linear Algebra

Stochastic Processes and Applications

Álgebra en todas partes