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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

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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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An Introduction to the Language of Category Theory

de Steven Roman ...

Series series Mathematics and Statistics (R0)
This textbook provides an introduction to elementary category theory, with the aim of making what can be a confusing and sometimes overwhelming subject more accessible. In writing about this challenging subject, the author has brought to bear all of the experience he has gained in authoring over 30 books in university-level mathematics.The goal of this book is to present the five major ideas of ... Leer más

$70,610 CLP

This textbook provides an introduction to elementary category theory, with the aim of making what can be a confusing and sometimes overwhelming subject more accessible. In writing about this challenging subject, the author has brought to bear all of the experience he has gained in authoring over 30 books in university-level mathematics.The goal of this book is to present the five major ideas of
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Fondamenti di Statistica Inferenziale III parte

de Francesco Luigi Petracca ...

Questo testo di statistica inferenziale è stato progettato per essere un punto di riferimento chiaro e completo non solo per studenti di matematica o discipline scientifiche, ma anche per chi affronta per la prima volta la statistica, come gli studenti di medicina, biologia o professioni sanitarie.Il libro offre una panoramica completa dei concetti fondamentali della statistica inferenziale, ... Leer más

Antes $7,942 CLP Ahora $7,102 CLP

Questo testo di statistica inferenziale è stato progettato per essere un punto di riferimento chiaro e completo non solo per studenti di matematica o discipline scientifiche, ma anche per chi affronta per la prima volta la statistica, come gli studenti di medicina, biologia o professioni sanitarie.Il libro offre una panoramica completa dei concetti fondamentali della statistica inferenziale,
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Computing and Combinatorics

28th International Conference, COCOON 2022, Shenzhen, China, October 22–24, 2022, Proceedings

Edición de Yong Zhang, Dongjing Miao, Rolf Möhring ...

Series series Springer Nature Proceedings Computer Science
Chapter(s) “Chapter Name or No.” is/are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com. ... Leer más

$86,907 CLP

Chapter(s) “Chapter Name or No.” is/are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
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Numerik

Eine lebendige und gut verständliche Einführung mit vielen Beispielen

de Andreas Meister, Thomas Sonar ...

Dieses vierfarbige Lehrbuch wendet sich an Studierende der Mathematik und benachbarter Studiengänge und bietet eine lebendige Einführung in die Numerik.In der Numerischen Mathematik geht es um die zentralen Ideen zur Nutzung mathematischer Resultate im Kontext realitätsbezogener Anwendungen. Es geht um Konvergenzbeweise für Algorithmen, um den Einsatz von Funktionalanalysis zur Fehlerabschätzung ... Leer más

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Dieses vierfarbige Lehrbuch wendet sich an Studierende der Mathematik und benachbarter Studiengänge und bietet eine lebendige Einführung in die Numerik.In der Numerischen Mathematik geht es um die zentralen Ideen zur Nutzung mathematischer Resultate im Kontext realitätsbezogener Anwendungen. Es geht um Konvergenzbeweise für Algorithmen, um den Einsatz von Funktionalanalysis zur Fehlerabschätzung
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SOFSEM 2024: Theory and Practice of Computer Science

49th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2024, Cochem, Germany, February 19–23, 2024, Proceedings

Edición de Henning Fernau, Serge Gaspers, Ralf Klasing ...

Series series Springer Nature Proceedings Computer Science
This book constitutes the proceedings of the 49th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2024, held in Cochem, Germany, in February 2024.The 33 full papers presented in this book were carefully reviewed and selected from 81 submissions. The book also contains one invited talk in full paper length.They focus on original research and challenges ... Leer más

$86,907 CLP

This book constitutes the proceedings of the 49th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2024, held in Cochem, Germany, in February 2024.The 33 full papers presented in this book were carefully reviewed and selected from 81 submissions. The book also contains one invited talk in full paper length.They focus on original research and challenges
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Algebra lineare e Geometria. Quiz ed Esercizi commentati e risolti

de Luigi Grasselli, Angiolina Barani, Claudia Landi ...

Il presente testo propone prove di verifica formativa relative agli argomenti tradizionalmente trattati nei corsi universitari di Algebra Lineare e Geometria degli Spazi Euclidei. Per ogni argomento, vengono proposti e risolti due tipi di prove:Si parte con una successione di quiz a risposta multipla, aventi lo scopo di fornire allo studente uno strumento di autovalutazione del grado di conoscenza ... Leer más

Antes $21,577 CLP Ahora $19,293 CLP

Il presente testo propone prove di verifica formativa relative agli argomenti tradizionalmente trattati nei corsi universitari di Algebra Lineare e Geometria degli Spazi Euclidei. Per ogni argomento, vengono proposti e risolti due tipi di prove:Si parte con una successione di quiz a risposta multipla, aventi lo scopo di fornire allo studente uno strumento di autovalutazione del grado di conoscenza
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Combinatorial Methods in Topology and Algebra

Edición de Bruno Benedetti, Emanuele Delucchi, Luca Moci ...

Series series Mathematics and Statistics (R0)
Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects.This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. The event brought together emerging and leading researchers at ... Leer más

$54,314 CLP

Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects.This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. The event brought together emerging and leading researchers at
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Cryptology and Error Correction

An Algebraic Introduction and Real-World Applications

de Lindsay N. Childs ...

Series series Mathematics and Statistics (R0)
This text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for understanding these methods. The objective is to provide a thorough understanding of RSA, Diffie–Hellman, and Blum–Goldwasser cryptosystems and Hamming and Reed–Solomon error correction: how they are ... Leer más

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This text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for understanding these methods. The objective is to provide a thorough understanding of RSA, Diffie–Hellman, and Blum–Goldwasser cryptosystems and Hamming and Reed–Solomon error correction: how they are
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Two-dimensional Two-product Cubic Systems, Vol I

Different Product Structure Vector Fields

de Albert C. J. Luo ...

Series series Engineering (R0)
This book is the ninth of 15 related monographs, discusses a two product-cubic dynamical system possessing different product-cubic structures and the equilibrium and flow singularity and bifurcations for appearing and switching bifurcations. The appearing bifurcations herein are parabola-saddles, saddle-sources (sinks), hyperbolic-to-hyperbolic-secant flows, and inflection-source (sink) flows. The ... Leer más

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This book is the ninth of 15 related monographs, discusses a two product-cubic dynamical system possessing different product-cubic structures and the equilibrium and flow singularity and bifurcations for appearing and switching bifurcations. The appearing bifurcations herein are parabola-saddles, saddle-sources (sinks), hyperbolic-to-hyperbolic-secant flows, and inflection-source (sink) flows. The
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Linear Algebra and Group Theory for Physicists and Engineers

de Yair Shapira ...

Series series Mathematics and Statistics (R0)
This textbook demonstrates the strong interconnections between linear algebra and group theory by presenting them simultaneously, a pedagogical strategy ideal for an interdisciplinary audience. Being approached together at the same time, these two topics complete one another, allowing students to attain a deeper understanding of both subjects. The opening chapters introduce linear algebra with ... Leer más

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This textbook demonstrates the strong interconnections between linear algebra and group theory by presenting them simultaneously, a pedagogical strategy ideal for an interdisciplinary audience. Being approached together at the same time, these two topics complete one another, allowing students to attain a deeper understanding of both subjects. The opening chapters introduce linear algebra with
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Formal Verification of Structurally Complex Multipliers

de Alireza Mahzoon, Daniel Große, Rolf Drechsler ...

Series series Engineering (R0)
This book addresses the challenging tasks of verifying and debugging structurally complex multipliers. In the area of verification, the authors first investigate the challenges of Symbolic Computer Algebra (SCA)-based verification, when it comes to proving the correctness of multipliers. They then describe three techniques to improve and extend SCA: vanishing monomials removal, reverse engineering ... Leer más

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This book addresses the challenging tasks of verifying and debugging structurally complex multipliers. In the area of verification, the authors first investigate the challenges of Symbolic Computer Algebra (SCA)-based verification, when it comes to proving the correctness of multipliers. They then describe three techniques to improve and extend SCA: vanishing monomials removal, reverse engineering
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Two-dimensional Two Product Cubic Systems, Vol. III

Self-linear and Crossing Quadratic Product Vector Fields

de Albert C. J. Luo ...

This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing ... Leer más

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This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing
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Mathematical Sciences and Applications

Proceedings of the International Conference on Mathematical Sciences and Applications (ICMSA 2023)

Edición de Sanjay Chaudhary, Sanjeev Kumar, Shyamli Gupta ...

The papers appearing in these proceedings are part of talks, oral presentations and poster presentations given at the International Conference on Mathematical Sciences and Applications held in the Department of Mathematics, Dr. Bhimrao Ambedkar University, Agra (India) from March 24-26, 2023. The Conference was held under the auspices of the Mathematics Department which is recognized and founded ... Leer más

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The papers appearing in these proceedings are part of talks, oral presentations and poster presentations given at the International Conference on Mathematical Sciences and Applications held in the Department of Mathematics, Dr. Bhimrao Ambedkar University, Agra (India) from March 24-26, 2023. The Conference was held under the auspices of the Mathematics Department which is recognized and founded
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Automorphic Forms and Even Unimodular Lattices

Kneser Neighbors of Niemeier Lattices

Traducido por Reinie Erné ...

de Gaëtan Chenevier, Jean Lannes ...

Series series Mathematics and Statistics (R0)
This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur.Its connecting thread is a question about lattices of rank 24: the problem of p ... Leer más

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This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur.Its connecting thread is a question about lattices of rank 24: the problem of p
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Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification

In honor of Vyjayanthi Chari on the occasion of her 60th birthday

Edición de Jacob Greenstein, David Hernandez, Kailash C. Misra, Prasad Senesi ...

Series series Mathematics and Statistics (R0)
This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues, in celebration of the impact Vyjayanthi Chari has had on this area. The opening chapters are based on mini-courses given at the conference “Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification”, held on the occasion of ... Leer más

$108,636 CLP

This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues, in celebration of the impact Vyjayanthi Chari has had on this area. The opening chapters are based on mini-courses given at the conference “Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification”, held on the occasion of
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Involutive Category Theory

de Donald Yau ...

Series series Mathematics and Statistics (R0)
This monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory. The author adopts an accessible approach for readers seeking an overview of involutive category theory, from the basics to cutting-edge applications. Additionally, the author’s own recent advances in the area are featured, never having appeared ... Leer más

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This monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory. The author adopts an accessible approach for readers seeking an overview of involutive category theory, from the basics to cutting-edge applications. Additionally, the author’s own recent advances in the area are featured, never having appeared
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Topology and K-Theory

Lectures by Daniel Quillen

de Robert Penner, Mikhail Kapranov ...

Series series Mathematics and Statistics (R0)
These are notes from a graduate student course on algebraic topology and K-theory given by Daniel Quillen at the Massachusetts Institute of Technology during 1979-1980. He had just received the Fields Medal for his work on these topics among others and was funny and playful with a confident humility from the start. These are not meant to be polished lecture notes, rather, things are presented as ... Leer más

$59,745 CLP

These are notes from a graduate student course on algebraic topology and K-theory given by Daniel Quillen at the Massachusetts Institute of Technology during 1979-1980. He had just received the Fields Medal for his work on these topics among others and was funny and playful with a confident humility from the start. These are not meant to be polished lecture notes, rather, things are presented as
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Teaching Through Example-Based Problem Solving (TEPS) in Early Algebra

Contrasting Cases in Elementary Math

de Meixia Ding ...

This elementary mathematics resource outlines a pedagogical approach known as Teaching Through Example-Based Problem Solving (TEPS) and presents pre-service teachers with an effective way to instruct early algebra. Using contrasting cases to illustrate inverse relations and the basic properties of operations, it breaks down an often controversial “gatekeeper” for students’ mathematical learning ... Leer más

$62,982 CLP

This elementary mathematics resource outlines a pedagogical approach known as Teaching Through Example-Based Problem Solving (TEPS) and presents pre-service teachers with an effective way to instruct early algebra. Using contrasting cases to illustrate inverse relations and the basic properties of operations, it breaks down an often controversial “gatekeeper” for students’ mathematical learning
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Arithmetic of Finite Fields

11th International Workshop, WAIFI 2026, Santander, Spain, June 3–5, 2026, Revised Selected Papers

Edición de Lejla Batina, Ferruh Özbudak ...

Series series Springer Nature Proceedings Computer Science
This book constitutes the refereed proceedings of the 11th International Workshop on Arithmetic of Finite Fields, WAIFI 2026, held in Santander, Spain, during June 3–5, 2026.The 21 full papers and 3 Invited papers included in this book were carefully reviewed and selected from 31 submissions. They were organized in topical sections as follows: Invited talks; Coding Theory and Related Structures; ... Leer más

$70,610 CLP

This book constitutes the refereed proceedings of the 11th International Workshop on Arithmetic of Finite Fields, WAIFI 2026, held in Santander, Spain, during June 3–5, 2026.The 21 full papers and 3 Invited papers included in this book were carefully reviewed and selected from 31 submissions. They were organized in topical sections as follows: Invited talks; Coding Theory and Related Structures;
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Monomial Ideals, Computations and Applications

Edición de Philippe Gimenez, Eduardo Sáenz-de-Cabezón, Anna M. Bigatti ...

Series series Mathematics and Statistics (R0)
This work covers three important aspects of monomials ideals in the three chapters "Stanley decompositions" by Jürgen Herzog, "Edge ideals" by Adam Van Tuyl and "Local cohomology" by Josep Álvarez Montaner. The chapters, written by top experts, include computer tutorials that emphasize the computational aspects of the respective areas. Monomial ideals and algebras are, in a sense, among the ... Leer más

$54,314 CLP

This work covers three important aspects of monomials ideals in the three chapters "Stanley decompositions" by Jürgen Herzog, "Edge ideals" by Adam Van Tuyl and "Local cohomology" by Josep Álvarez Montaner. The chapters, written by top experts, include computer tutorials that emphasize the computational aspects of the respective areas. Monomial ideals and algebras are, in a sense, among the
... Leer más
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

de Friedrich Wehrung ...

Series series Mathematics and Statistics (R0)
Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups, ... Leer más

$54,314 CLP

Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups,
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Introduction to Galois Theory

de David Hernandez, Yves Laszlo ...

Series series Mathematics and Statistics (R0)
This textbook provides an undergraduate introduction to Galois theory and its most notable applications.Galois theory was born in the 19th century to study polynomial equations. Both powerful and elegant, this theory was at the origin of a substantial part of modern algebra and has since undergone considerable development. It remains an extremely active research subject and has found numerous ... Leer más

Antes $71,559 CLP Ahora $59,745 CLP

This textbook provides an undergraduate introduction to Galois theory and its most notable applications.Galois theory was born in the 19th century to study polynomial equations. Both powerful and elegant, this theory was at the origin of a substantial part of modern algebra and has since undergone considerable development. It remains an extremely active research subject and has found numerous
... Leer más

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Cryptology and Error Correction

Two-dimensional Two-product Cubic Systems, Vol I

Linear Algebra and Group Theory for Physicists and Engineers

Formal Verification of Structurally Complex Multipliers

Two-dimensional Two Product Cubic Systems, Vol. III

Mathematical Sciences and Applications

Automorphic Forms and Even Unimodular Lattices

Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification

Involutive Category Theory

Topology and K-Theory

Teaching Through Example-Based Problem Solving (TEPS) in Early Algebra

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Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

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