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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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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

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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
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Polynomial Automorphisms and the Jacobian Conjecture

New Results from the Beginning of the 21st Century

de Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola ...

Series series Mathematics and Statistics (R0)
This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000. Many new exciting results have been obtained in the past two decades, including the solution of Nagata's Conjecture, the complete solution of Hilbert's fourteenth problem, the equivalence of the Jacobian Conjecture and the Dixmier Conjecture, the symmetric reduction of the ... Leer más

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This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000. Many new exciting results have been obtained in the past two decades, including the solution of Nagata's Conjecture, the complete solution of Hilbert's fourteenth problem, the equivalence of the Jacobian Conjecture and the Dixmier Conjecture, the symmetric reduction of the
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Arithmetic of Finite Fields

7th International Workshop, WAIFI 2018, Bergen, Norway, June 14-16, 2018, Revised Selected Papers

Edición de Lilya Budaghyan, Francisco Rodríguez-Henríquez ...

Series series Springer Nature Proceedings Computer Science
This book constitutes the thoroughly refereed post-workshop proceedings of the 7th International Workshop on the Arithmetic of Finite Field, WAIFI 2018, held in Bergen, Norway, in June 2018.The 14 revised full papers and six invited talks presented were carefully reviewed and selected from 26 submissions. The papers are organized in topical sections on invited talks; elliptic curves; hardware ... Leer más

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This book constitutes the thoroughly refereed post-workshop proceedings of the 7th International Workshop on the Arithmetic of Finite Field, WAIFI 2018, held in Bergen, Norway, in June 2018.The 14 revised full papers and six invited talks presented were carefully reviewed and selected from 26 submissions. The papers are organized in topical sections on invited talks; elliptic curves; hardware
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Pseudo-Hermitian Random Matrices

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Series series Physics and Astronomy (R0)
This book is a comprehensive guide to pseudo-Hermitian random matrices, their properties, and their role in many models that are relevant to physical processes. The book starts by showing how the concept of pseudo-Hermiticity emerged from studies of PT-symmetric systems which aroused the interest of the random matrix theory community. The chapters that follow discuss the consequences of the pseudo ... Leer más

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This book is a comprehensive guide to pseudo-Hermitian random matrices, their properties, and their role in many models that are relevant to physical processes. The book starts by showing how the concept of pseudo-Hermiticity emerged from studies of PT-symmetric systems which aroused the interest of the random matrix theory community. The chapters that follow discuss the consequences of the pseudo
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Mathematics in the 21st Century

6th World Conference, Lahore, March 2013

Edición de Pierre Cartier, Michel Waldschmidt, A.D.R. Choudary ...

Series series Springer Nature Proceedings excluding Computer Science
Numerous well-presented and important papers from the conference are gathered in the proceedings for the purpose of pointing directions for useful future research in diverse areas of mathematics including algebraic geometry, analysis, commutative algebra, complex analysis, discrete mathematics, dynamical systems, number theory and topology. Several papers on computational and applied mathematics ... Leer más

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Numerous well-presented and important papers from the conference are gathered in the proceedings for the purpose of pointing directions for useful future research in diverse areas of mathematics including algebraic geometry, analysis, commutative algebra, complex analysis, discrete mathematics, dynamical systems, number theory and topology. Several papers on computational and applied mathematics
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Learn Mathematics on your Smartphone

de Clive W. Humphris ...

An enhanced eBook published in full colour. Now including extensive interactive content enabling exploration by inserting any values that would occur in a real situation whereby the graphics are redrawn to reflect those changes.Calculations can be also tested against any standard subject textbook to compare the results.Interactive Technology when used in the classroom can motivate passive students ... Leer más

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An enhanced eBook published in full colour. Now including extensive interactive content enabling exploration by inserting any values that would occur in a real situation whereby the graphics are redrawn to reflect those changes.Calculations can be also tested against any standard subject textbook to compare the results.Interactive Technology when used in the classroom can motivate passive students
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Affine Algebraic Geometry

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Series Libro 11 - Series on University Mathematics
Algebraic geometry is more advanced with the completeness condition for projective or complete varieties. Many geometric properties are well described by the finiteness or the vanishing of sheaf cohomologies on such varieties. For non-complete varieties like affine algebraic varieties, sheaf cohomology does not work well and research progress used to be slow, although affine spaces and polynomial ... Leer más

Antes $120,670 CLP Ahora $107,898 CLP

Algebraic geometry is more advanced with the completeness condition for projective or complete varieties. Many geometric properties are well described by the finiteness or the vanishing of sheaf cohomologies on such varieties. For non-complete varieties like affine algebraic varieties, sheaf cohomology does not work well and research progress used to be slow, although affine spaces and polynomial
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p-adic Banach Space Representations

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de Dubravka Ban ...

Series series Mathematics and Statistics (R0)
This book systematically develops the theory of continuous representations on p-adic Banach spaces. Its purpose is to lay the foundations of the representation theory of reductive p-adic groups on p-adic Banach spaces, explain the duality theory of Schneider and Teitelbaum, and demonstrate its applications to continuous principal series. Written to be accessible to graduate students, the book ... Leer más

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This book systematically develops the theory of continuous representations on p-adic Banach spaces. Its purpose is to lay the foundations of the representation theory of reductive p-adic groups on p-adic Banach spaces, explain the duality theory of Schneider and Teitelbaum, and demonstrate its applications to continuous principal series. Written to be accessible to graduate students, the book
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Classical Lie Algebras at Infinity

de Ivan Penkov, Crystal Hoyt ...

Series series Mathematics and Statistics (R0)
Originating from graduate topics courses given by the first author, this book functions as a unique text-monograph hybrid that bridges a traditional graduate course to research level representation theory. The exposition includes an introduction to the subject, some highlights of the theory and recent results in the field, and is therefore appropriate for advanced graduate students entering the ... Leer más

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Concise Computer Mathematics

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de Ovidiu Bagdasar ...

Series series Computer Science (R0)
Adapted from a modular undergraduate course on computational mathematics, Concise Computer Mathematics delivers an easily accessible, self-contained introduction to the basic notions of mathematics necessary for a computer science degree. The text reflects the need to quickly introduce students from a variety of educational backgrounds to a number of essential mathematical concepts. The material ... Leer más

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Mathematical Topics on Representations of Ordered Structures and Utility Theory

Essays in Honor of Professor Ghanshyam B. Mehta

Edición de Gianni Bosi, María J. Campión, Juan C. Candeal, Esteban Indurain ...

Series series Intelligent Technologies and Robotics (R0)
This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice ... Leer más

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This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice
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Series series Mathematics and Statistics (R0)
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Exercises of Matrices and Linear Algebra

de Simone Malacrida ...

In this book, exercises are carried out regarding the following mathematical topics:matrices and matrix calculuslinear algebradiagonalization of matrices and canonical bases.Initial theoretical hints are also presented to make the performance of the exercises understood. ... Leer más

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Differentialrechnung für Höhlenmenschen und andere Anfänger

Die mathematische Behandlung kleinster Änderungen

de Jürgen Beetz ...

Series series Life Science and Basic Disciplines (German Language)
Jürgen Beetz führt zuerst in den Ursprung der erdachten Geschichten der Mathematik aus der Steinzeit ein. Im Anschluss daran stellt er die zentrale Fragestellung der „Infinitesimalrechnung“ anhand eines einfachen Beispiels dar. Dann erläutert der Autor die Grundproblematik des Differenzierens: die Steigung (d. h. die Richtung der Tangente) an einer beliebigen Stelle einer Funktion y=f(x) ... Leer más

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Perspectives in Lie Theory

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Series series Mathematics and Statistics (R0)
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Introduction to Abstract Algebra

de W. Keith Nicholson ...

Praise for the Third Edition". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATHThe Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps ... Leer más

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Praise for the Third Edition". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATHThe Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps
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THE MATHEMATICS BEHIND THE MUSIC VOLUME - 2

MATHEMATICAL FOUNDATION IN MUSIC

de Paul Nishanth F ...

The relation to music and Mathematics is quite a thick topic to discuss because, in a very general sense, music is mathematics. It is a difference and consistency of changes in melody and rhythm that generates sound in a way that we enjoy and appreciate it. Many different applications have been used to describe these changes from logarithmic fluctuation in sound wave frequency to the difference ... Leer más

Antes $7,954 CLP Ahora $7,111 CLP o gratis con Kobo Plus

The relation to music and Mathematics is quite a thick topic to discuss because, in a very general sense, music is mathematics. It is a difference and consistency of changes in melody and rhythm that generates sound in a way that we enjoy and appreciate it. Many different applications have been used to describe these changes from logarithmic fluctuation in sound wave frequency to the difference
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Two-Dimensional Constant and Product Polynomial Systems

de Albert C. J. Luo ...

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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Symmetrien und Gruppen in der Teilchenphysik

de Stefan Scherer ...

Series series Life Science and Basic Disciplines (German Language)
Dieses Buch liefert eine didaktische Einführung in gruppentheoretische Überlegungen und Methoden, die ein tiefes Verständnis der Wechselwirkungen zwischen Elementarteilchen ermöglichen. Es richtet sich primär an Studierende des Masterstudiengangs Physik, ist aber auch für Studierende der Mathematik geeignet, die ein Interesse am konkreten Einsatz der Gruppentheorie mitbringen.Die ersten drei ... Leer más

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Linear Algebra and Optimization for Machine Learning

A Textbook

de Charu C. Aggarwal ...

Series series Computer Science (R0)
This textbook introduces linear algebra and optimization in the context of machine learning. Examples and exercises are provided throughout the book. A solution manual for the exercises at the end of each chapter is available to teaching instructors. This textbook targets graduate level students and professors in computer science, mathematics and data science. Advanced undergraduate students can ... Leer más

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This textbook introduces linear algebra and optimization in the context of machine learning. Examples and exercises are provided throughout the book. A solution manual for the exercises at the end of each chapter is available to teaching instructors. This textbook targets graduate level students and professors in computer science, mathematics and data science. Advanced undergraduate students can
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The Number System of Algebra: Number Systems from the Egyptians to the Greeks to the Europeans to Arabic

de Henry B. Fine, Ph.D. ...

I THEORETICAL1 THE POSITIVE INTEGER,AND THE LAWS WHICH REGULATE THE ADDITION ANDMULTIPLICATION OF POSITIVE INTEGERSThe number conceptNumerical equalityNumeral symbolsThe numerical equationCountingAddition and its lawsMultiplication and its laws2 SUBTRACTION AND THE NEGATIVE INTEGERNumerical subtractionDeterminateness of numerical subtractionFormal rules of subtractionLimitations of num... ... Leer más

Antes $3,397 CLP Ahora $3,038 CLP

I THEORETICAL1 THE POSITIVE INTEGER,AND THE LAWS WHICH REGULATE THE ADDITION ANDMULTIPLICATION OF POSITIVE INTEGERSThe number conceptNumerical equalityNumeral symbolsThe numerical equationCountingAddition and its lawsMultiplication and its laws2 SUBTRACTION AND THE NEGATIVE INTEGERNumerical subtractionDeterminateness of numerical subtractionFormal rules of subtractionLimitations of num...
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Arbeitsbuch Mathematik

Aufgaben, Hinweise, Lösungen und Lösungswege

de Tilo Arens, Frank Hettlich, Christian Karpfinger, Ulrich Kockelkorn, Klaus Lichtenegger, Hellmuth Stachel ...

Series series Life Science and Basic Disciplines (German Language)
Dieses Arbeitsbuch enthält die Aufgaben, Hinweise, Lösungen und Lösungswege zu allen sechs Teilen des Lehrbuchs Arens et al., Mathematik. Die Inhalte des Buchs stehen als pdf-Dateien auch auf der Website zum Buch matheweb zur Verfügung.Durch die stufenweise Offenlegung der Lösungen ist das Werk bestens geeignet zum Selbststudium, zur Vorlesungsbegleitung und als Prüfungsvorbereitung.Inhaltlich ... Leer más

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Dieses Arbeitsbuch enthält die Aufgaben, Hinweise, Lösungen und Lösungswege zu allen sechs Teilen des Lehrbuchs Arens et al., Mathematik. Die Inhalte des Buchs stehen als pdf-Dateien auch auf der Website zum Buch matheweb zur Verfügung.Durch die stufenweise Offenlegung der Lösungen ist das Werk bestens geeignet zum Selbststudium, zur Vorlesungsbegleitung und als Prüfungsvorbereitung.Inhaltlich
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Classical and Quantum Physics

60 Years Alberto Ibort Fest Geometry, Dynamics, and Control

Edición de G. Marmo, David Martín de Diego, Miguel Muñoz Lecanda ...

Series series Springer Nature Proceedings excluding Computer Science
This proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday. Alberto has great and significantly contributed to many fields of mathematics and physics, always with highly original and innovative ideas.Most of Albertos’s scientific activity has been motivated by geometric ideas, concepts and tools that are deeply ... Leer más

$97,773 CLP

This proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday. Alberto has great and significantly contributed to many fields of mathematics and physics, always with highly original and innovative ideas.Most of Albertos’s scientific activity has been motivated by geometric ideas, concepts and tools that are deeply
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Polynomial Automorphisms and the Jacobian Conjecture

Arithmetic of Finite Fields

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Learn Mathematics on your Smartphone

Affine Algebraic Geometry

p-adic Banach Space Representations

Classical Lie Algebras at Infinity

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Mordell–Weil Lattices

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Linear Algebra and Optimization for Machine Learning

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