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Recommended For You

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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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

Edited by 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 ... Read more

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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

by 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 ... Read more

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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

Edited by 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 ... Read more

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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

by 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 ... Read more

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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 Crossing and Product Cubic Systems, Vol. I

Self-linear and Crossing-quadratic Product Vector Field

by Albert C. J. Luo ...

Series series Engineering (R0)
This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected ... Read more

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This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected
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Linear Algebra and Group Theory for Physicists and Engineers

by 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 ... Read more

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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

by 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 ... Read more

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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

by 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 ... Read more

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

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

Edited by 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 ... Read more

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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

by 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 ... Read more

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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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Elementary Linear Algebra

by Stephen Andrilli, David Hecker ...

Elementary Linear Algebra, Sixth Edition provides a solid introduction to both the computational and theoretical aspects of linear algebra, covering many important real-world applications, including graph theory, circuit theory, Markov chains, elementary coding theory, least-squares polynomials and least-squares solutions for inconsistent systems, differential equations, computer graphics and ... Read more

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Elementary Linear Algebra, Sixth Edition provides a solid introduction to both the computational and theoretical aspects of linear algebra, covering many important real-world applications, including graph theory, circuit theory, Markov chains, elementary coding theory, least-squares polynomials and least-squares solutions for inconsistent systems, differential equations, computer graphics and
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An Introduction to Point-Set Topology

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by Shelby J. Kilmer ...

An Introduction to Point-Set Topology is intended for use in a beginning topology course for undergraduates or as an elective course for graduate students. The book's style can be thought of as a hybrid between the Texas style (Moore method) of teaching topology and the more traditional styles. In the Texas style the students are given the definitions and the statements of the theorems and then ... Read more

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An Introduction to Point-Set Topology is intended for use in a beginning topology course for undergraduates or as an elective course for graduate students. The book's style can be thought of as a hybrid between the Texas style (Moore method) of teaching topology and the more traditional styles. In the Texas style the students are given the definitions and the statements of the theorems and then
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Topology and K-Theory

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by 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 ... Read more

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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

by 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 ... Read more

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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

Edited by 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; ... Read more

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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;
... Read more
Monomial Ideals, Computations and Applications

Edited by 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 ... Read more

47,69 €

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
... Read more
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

by 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, ... Read more

47,69 €

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

by 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 ... Read more

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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
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Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

Edited by Stephan Rosebrock, Wolfgang Metzler ...

Series Book 446 - London Mathematical Society Lecture Note Series
This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much remarkable progress that has been obtained in the intervening years. And while the fundamental open questions, such as ... Read more

58,93 €

This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much remarkable progress that has been obtained in the intervening years. And while the fundamental open questions, such as
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Exercises in Applied Mathematics

With a View toward Information Theory, Machine Learning, Wavelets, and Statistical Physics

by Daniel Alpay ...

Series series Mathematics and Statistics (R0)
This text presents a collection of mathematical exercises with the aim of guiding readers to study topics in statistical physics, equilibrium thermodynamics, information theory, and their various connections. It explores essential tools from linear algebra, elementary functional analysis, and probability theory in detail and demonstrates their applications in topics such as entropy, machine ... Read more

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This text presents a collection of mathematical exercises with the aim of guiding readers to study topics in statistical physics, equilibrium thermodynamics, information theory, and their various connections. It explores essential tools from linear algebra, elementary functional analysis, and probability theory in detail and demonstrates their applications in topics such as entropy, machine
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Mathematik für Ambitionierte

Zählen, Rechnen, Messen als Basis für alles Weitere

by Joachim Hilgert ...

Series series Life Science and Basic Disciplines (German Language)
Das vorliegende Buch ist eine Anleitung zum Selbststudium von Mathematik als wissenschaftlicher Disziplin. Es richtet sich an unterschiedliche Gruppen von Adressaten. Interessierte Jugendliche, die ein tieferes Verständnis der in der Schule präsentierten Inhalte erlangen wollen, und Lehrkräfte, die an ihren Schulen Mathematik-AGs betreuen und dafür an den Schulstoff anschlussfähiges Material ... Read more

24,05 €

Das vorliegende Buch ist eine Anleitung zum Selbststudium von Mathematik als wissenschaftlicher Disziplin. Es richtet sich an unterschiedliche Gruppen von Adressaten. Interessierte Jugendliche, die ein tieferes Verständnis der in der Schule präsentierten Inhalte erlangen wollen, und Lehrkräfte, die an ihren Schulen Mathematik-AGs betreuen und dafür an den Schulstoff anschlussfähiges Material
... Read more
Linear Model Theory

Exercises and Solutions

by Dale L. Zimmerman ...

Series series Mathematics and Statistics (R0)
This book contains 296 exercises and solutions covering a wide variety of topics in linear model theory, including generalized inverses, estimability, best linear unbiased estimation and prediction, ANOVA, confidence intervals, simultaneous confidence intervals, hypothesis testing, and variance component estimation. The models covered include the Gauss-Markov and Aitken models, mixed and random ... Read more

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This book contains 296 exercises and solutions covering a wide variety of topics in linear model theory, including generalized inverses, estimability, best linear unbiased estimation and prediction, ANOVA, confidence intervals, simultaneous confidence intervals, hypothesis testing, and variance component estimation. The models covered include the Gauss-Markov and Aitken models, mixed and random
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Normalformen von Matrizen

Fundamentale Werkzeuge der Mathematik

by Dieter Riebesehl ...

Series series Life Science and Basic Disciplines (German Language)
Lineare Abbildungen sind ein zentrales Werkzeug für Mathematiker, Physiker, Ingenieure und Techniker. Ihre Repräsentation durch Matrizen hängt von der Wahl der Basis der beteiligten Vektorräume ab. Durch geschickte Wahl dieser Basen lassen sich lineare Abbildungen durch Matrizen besonders einfacher Form darstellen. Dieses essential stellt die wichtigsten Normalformen von Matrizen vor.Welche Formen ... Read more

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Lineare Abbildungen sind ein zentrales Werkzeug für Mathematiker, Physiker, Ingenieure und Techniker. Ihre Repräsentation durch Matrizen hängt von der Wahl der Basis der beteiligten Vektorräume ab. Durch geschickte Wahl dieser Basen lassen sich lineare Abbildungen durch Matrizen besonders einfacher Form darstellen. Dieses essential stellt die wichtigsten Normalformen von Matrizen vor.Welche Formen
... Read more

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Recommended For You

Algebra eBooks

Algebra: A Complete Introduction

SOFSEM 2024: Theory and Practice of Computer Science

Algebra lineare e Geometria. Quiz ed Esercizi commentati e risolti

Combinatorial Methods in Topology and Algebra

Cryptology and Error Correction

Two-dimensional Crossing and 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

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

Involutive Category Theory

Elementary Linear Algebra

An Introduction to Point-Set Topology

Topology and K-Theory

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

Arithmetic of Finite Fields

Monomial Ideals, Computations and Applications

Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

Introduction to Galois Theory

Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

Exercises in Applied Mathematics

Mathematik für Ambitionierte

Linear Model Theory

Normalformen von Matrizen