An Introduction to Metric Spaces. / Dhananjay Gopal (2021) / 978-0-367-49349-3

Public ISBD Titre : An Introduction to Metric Spaces. Type de document : texte imprimé Auteurs : Dhananjay Gopal, Auteur ; Aniruddha Deshmukh, Auteur ; Ranadive, Abhay S., Auteur ; Shubham Yadav, Auteur Editeur : New York : CRC press Année de publication : 2021 Importance : 302 p. Présentation : couv:ill. Format : 25cm ISBN/ISSN/EAN : 978-0-367-49349-3 Langues : Anglais (eng) Tags : espaces métriques  distance  convergence  suites de Cauchy  complétude  compacité  continuité  topologie métrique  analyse mathématique Index. décimale : 515.12 Résumé : This book serves as a textbook for an introductory course in metric spaces for undergraduate or graduate students. The goal is to present the basics of metric spaces in a natural and intuitive way and encourage students to think geometrically while actively participating in the learning of this subject. In this book, the authors illustrated the strategy of the proofs of various theorems that motivate readers to complete them on their own. Bits of pertinent history are infused in the text, including brief biographies of some of the central players in the development of metric spaces. The textbook is divided into seven chapters that contain the main materials on metric spaces; namely, introductory concepts, completeness, compactness, connectedness, continuous functions and metric fixed point theorems with applications. Some of the noteworthy features of this book include - Diagrammatic illustrations that encourage readers to think geometrically - Focus on systematic strategy to generate ideas for the proofs of theorems - A wealth of remarks, observations along with a variety of exercises - Historical notes and brief biographies appearing throughout the text An Introduction to Metric Spaces. [texte imprimé] / Dhananjay Gopal, Auteur ; Aniruddha Deshmukh, Auteur ; Ranadive, Abhay S., Auteur ; Shubham Yadav, Auteur . - New York : CRC press, 2021 . - 302 p. : couv:ill. ; 25cm. ISBN : 978-0-367-49349-3 Langues : Anglais (eng) Tags : espaces métriques  distance  convergence  suites de Cauchy  complétude  compacité  continuité  topologie métrique  analyse mathématique Index. décimale : 515.12 Résumé : This book serves as a textbook for an introductory course in metric spaces for undergraduate or graduate students. The goal is to present the basics of metric spaces in a natural and intuitive way and encourage students to think geometrically while actively participating in the learning of this subject. In this book, the authors illustrated the strategy of the proofs of various theorems that motivate readers to complete them on their own. Bits of pertinent history are infused in the text, including brief biographies of some of the central players in the development of metric spaces. The textbook is divided into seven chapters that contain the main materials on metric spaces; namely, introductory concepts, completeness, compactness, connectedness, continuous functions and metric fixed point theorems with applications. Some of the noteworthy features of this book include - Diagrammatic illustrations that encourage readers to think geometrically - Focus on systematic strategy to generate ideas for the proofs of theorems - A wealth of remarks, observations along with a variety of exercises - Historical notes and brief biographies appearing throughout the text

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ARTIFICIAL INTELLIGENCE AND MACHINE LEARNING IN 2D/3D MEDICAL IMAGE PROCESSING / Rohit, Raja (2021) / 978-0-367-37435-8

Public ISBD Titre : ARTIFICIAL INTELLIGENCE AND MACHINE LEARNING IN 2D/3D MEDICAL IMAGE PROCESSING Type de document : texte imprimé Auteurs : Rohit, Raja, Auteur ; Sandeep Kumar, Auteur ; Shilpa Rani, Auteur Editeur : New York : CRC press Année de publication : 2021 Importance : 196p. Présentation : couv:ill. Format : 30cm ISBN/ISSN/EAN : 978-0-367-37435-8 Langues : Anglais (eng) Catégories : 004 Informatique. Science et technologie de l'informatique.:004.8 Intelligence artificielle Tags : Artificial intelligence Machine learning Deep learning Medical image processing 2D medical imaging 3D medical imaging Image segmentation Computer-aided diagnosis Pattern recognition Digital radiology Convolutional neural networks Medical decision support Index. décimale : 004 Informatique Résumé : This book by Rihit Raja explores the critical intersection of artificial intelligence, machine learning, and two-dimensional and three-dimensional medical image processing. The work presents an in-depth analysis of advanced AI techniques applied to solving complex challenges in medical imaging, such as organ segmentation, lesion detection, and tissue characterization. The author methodically examines various deep neural network architectures tailored for medical image processing, with emphasis on convolutional neural networks and their specialized variants for volumetric 3D data. Clinical case studies illustrate the practical application of these technologies across diverse imaging modalities, including MRI, CT scanning, ultrasound, and radiography. Particular attention is given to technical aspects such as data preprocessing, augmentation of limited datasets, and strategies to overcome challenges specific to medical data, including heterogeneity and ethical considerations related to their use. The book also addresses recent advances in model interpretability and explainable AI, which are essential for the clinical adoption of these technologies. Intended for researchers, biomedical engineers, and healthcare professionals working at the interface between technology and medicine, this volume serves as a comprehensive resource on the state-of-the-art applications of artificial intelligence in contemporary medical image analysis and interpretation. ARTIFICIAL INTELLIGENCE AND MACHINE LEARNING IN 2D/3D MEDICAL IMAGE PROCESSING [texte imprimé] / Rohit, Raja, Auteur ; Sandeep Kumar, Auteur ; Shilpa Rani, Auteur . - New York : CRC press, 2021 . - 196p. : couv:ill. ; 30cm. ISBN : 978-0-367-37435-8 Langues : Anglais (eng) Catégories : 004 Informatique. Science et technologie de l'informatique.:004.8 Intelligence artificielle Tags : Artificial intelligence Machine learning Deep learning Medical image processing 2D medical imaging 3D medical imaging Image segmentation Computer-aided diagnosis Pattern recognition Digital radiology Convolutional neural networks Medical decision support Index. décimale : 004 Informatique Résumé : This book by Rihit Raja explores the critical intersection of artificial intelligence, machine learning, and two-dimensional and three-dimensional medical image processing. The work presents an in-depth analysis of advanced AI techniques applied to solving complex challenges in medical imaging, such as organ segmentation, lesion detection, and tissue characterization. The author methodically examines various deep neural network architectures tailored for medical image processing, with emphasis on convolutional neural networks and their specialized variants for volumetric 3D data. Clinical case studies illustrate the practical application of these technologies across diverse imaging modalities, including MRI, CT scanning, ultrasound, and radiography. Particular attention is given to technical aspects such as data preprocessing, augmentation of limited datasets, and strategies to overcome challenges specific to medical data, including heterogeneity and ethical considerations related to their use. The book also addresses recent advances in model interpretability and explainable AI, which are essential for the clinical adoption of these technologies. Intended for researchers, biomedical engineers, and healthcare professionals working at the interface between technology and medicine, this volume serves as a comprehensive resource on the state-of-the-art applications of artificial intelligence in contemporary medical image analysis and interpretation.

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Cooperative Control of Complex Network Systems with Dynamic Topologies. / Guanghui Wen (2021) / 978-1-03-201917-8

Public ISBD Titre : Cooperative Control of Complex Network Systems with Dynamic Topologies. Type de document : texte imprimé Auteurs : Guanghui Wen, Auteur ; Wenwu Yu, Auteur ; Peijun Wang ; Yuezu Lv, Auteur Editeur : New York : CRC press Année de publication : 2021 Importance : ‎ 304 p Présentation : couv. ill. en coul. Format : 1.76 x 17.8 x 25.4 cm ISBN/ISSN/EAN : 978-1-03-201917-8 Langues : Anglais (eng) Tags : Complexe networks contrôle coopératif  systèmes en réseau  topologies dynamiques  contrôle distribué  synchronisation  coordination  robotique  véhicules autonomes  réseaux de capteurs  ingénierie des systèmes Index. décimale : 629.8 Résumé : This comprehensive volume by Guanghui Wen, Wenwu Yu, Peijun Wang, and Yuezu Lv addresses the cutting-edge field of cooperative control for complex network systems characterized by dynamic topologies. The book systematically explores theoretical frameworks and practical approaches for controlling networks where the connection patterns between nodes evolve over time. The authors present rigorous mathematical foundations for analyzing network stability, controllability, and performance in dynamic environments. Beginning with fundamentals of graph theory and network modeling, the text progresses to advanced topics including consensus algorithms, formation control, and synchronization protocols specifically designed for networks with time-varying structures. A significant portion of the work is dedicated to addressing practical challenges such as communication constraints, time delays, and uncertainty in dynamic network environments. The book incorporates both continuous-time and discrete-time system frameworks, providing comprehensive coverage of different modeling approaches relevant to various application domains. The theoretical developments are complemented by illustrative case studies from diverse fields including robotic swarms, power grids, transportation networks, and social systems. These examples demonstrate how the presented methodologies can be implemented to solve real-world coordination and control problems. This text serves as an invaluable resource for researchers, graduate students, and practitioners in control engineering, applied mathematics, and complex systems science seeking to understand and implement cooperative control strategies in networks with evolving interaction patterns.RéessayerClaude peut faire des erreurs. Assurez-vous de vérifier ses réponses. Cooperative Control of Complex Network Systems with Dynamic Topologies. [texte imprimé] / Guanghui Wen, Auteur ; Wenwu Yu, Auteur ; Peijun Wang ; Yuezu Lv, Auteur . - New York : CRC press, 2021 . - ‎ 304 p : couv. ill. en coul. ; 1.76 x 17.8 x 25.4 cm. ISBN : 978-1-03-201917-8 Langues : Anglais (eng) Tags : Complexe networks contrôle coopératif  systèmes en réseau  topologies dynamiques  contrôle distribué  synchronisation  coordination  robotique  véhicules autonomes  réseaux de capteurs  ingénierie des systèmes Index. décimale : 629.8 Résumé : This comprehensive volume by Guanghui Wen, Wenwu Yu, Peijun Wang, and Yuezu Lv addresses the cutting-edge field of cooperative control for complex network systems characterized by dynamic topologies. The book systematically explores theoretical frameworks and practical approaches for controlling networks where the connection patterns between nodes evolve over time. The authors present rigorous mathematical foundations for analyzing network stability, controllability, and performance in dynamic environments. Beginning with fundamentals of graph theory and network modeling, the text progresses to advanced topics including consensus algorithms, formation control, and synchronization protocols specifically designed for networks with time-varying structures. A significant portion of the work is dedicated to addressing practical challenges such as communication constraints, time delays, and uncertainty in dynamic network environments. The book incorporates both continuous-time and discrete-time system frameworks, providing comprehensive coverage of different modeling approaches relevant to various application domains. The theoretical developments are complemented by illustrative case studies from diverse fields including robotic swarms, power grids, transportation networks, and social systems. These examples demonstrate how the presented methodologies can be implemented to solve real-world coordination and control problems. This text serves as an invaluable resource for researchers, graduate students, and practitioners in control engineering, applied mathematics, and complex systems science seeking to understand and implement cooperative control strategies in networks with evolving interaction patterns.RéessayerClaude peut faire des erreurs. Assurez-vous de vérifier ses réponses.

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Discrete Mathematics and Applications / Kevin Ferland (2022) / 978-1-03-247689-6

Public ISBD Titre : Discrete Mathematics and Applications Type de document : texte imprimé Auteurs : Kevin Ferland, Auteur Mention d'édition : second edition Editeur : New York : CRC press Année de publication : 2022 Collection : Textbooks in Mathematics Importance : 916p. Présentation : couv:ill.photos Format : 35cm ISBN/ISSN/EAN : 978-1-03-247689-6 Langues : Anglais (eng) Tags : mathématiques discrètes  preuves  théorie des ensembles  combinatoire  théorie des graphes  arbres  algorithmes  applications. Index. décimale : 519.1 analyse combinatoire Théorie des graphies Résumé : Discrete Mathematics and Applications, Second Edition is intended for a one-semester course in discrete mathematics. Such a course is typically taken by mathematics, mathematics education, and computer science majors, usually in their sophomore year. Calculus is not a prerequisite to use this book. Part one focuses on how to write proofs, then moves on to topics in number theory, employing set theory in the process. Part two focuses on computations, combinatorics, graph theory, trees, and algorithms. Emphasizes proofs, which will appeal to a subset of this course market Links examples to exercise sets Offers edition that has been heavily reviewed and developed Focuses on graph theory Covers trees and algorithms Discrete Mathematics and Applications [texte imprimé] / Kevin Ferland, Auteur  . -  second edition . - New York : CRC press, 2022 . - 916p. : couv:ill.photos ; 35cm. - (Textbooks in Mathematics) . ISBN : 978-1-03-247689-6 Langues : Anglais (eng) Tags : mathématiques discrètes  preuves  théorie des ensembles  combinatoire  théorie des graphes  arbres  algorithmes  applications. Index. décimale : 519.1 analyse combinatoire Théorie des graphies Résumé : Discrete Mathematics and Applications, Second Edition is intended for a one-semester course in discrete mathematics. Such a course is typically taken by mathematics, mathematics education, and computer science majors, usually in their sophomore year. Calculus is not a prerequisite to use this book. Part one focuses on how to write proofs, then moves on to topics in number theory, employing set theory in the process. Part two focuses on computations, combinatorics, graph theory, trees, and algorithms. Emphasizes proofs, which will appeal to a subset of this course market Links examples to exercise sets Offers edition that has been heavily reviewed and developed Focuses on graph theory Covers trees and algorithms

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INTRODUCTION TO ANALYSIS / Corey M. Dunn (2017) / 978-1-03-247677-3

Public ISBD Titre : INTRODUCTION TO ANALYSIS Type de document : texte imprimé Auteurs : Corey M. Dunn, Auteur Editeur : New York : CRC press Année de publication : 2017 Importance : 398p. Présentation : couv. ill. en coul. Format : 35cm ISBN/ISSN/EAN : 978-1-03-247677-3 Langues : Anglais (eng) Tags : Sets, Function , proofs, The real numbers , ..... Index. décimale : 532 Résumé : This book is an ideal text for a one-semestre course on analysis, including an intoduction to proof.The author has endeavored to write this book entirely from the student's perspective: there is enough rigor to challenge even the best student in the class, but also enough explanation and detail to meet the needs of a strggling student. INTRODUCTION TO ANALYSIS [texte imprimé] / Corey M. Dunn, Auteur . - New York : CRC press, 2017 . - 398p. : couv. ill. en coul. ; 35cm. ISBN : 978-1-03-247677-3 Langues : Anglais (eng) Tags : Sets, Function , proofs, The real numbers , ..... Index. décimale : 532 Résumé : This book is an ideal text for a one-semestre course on analysis, including an intoduction to proof.The author has endeavored to write this book entirely from the student's perspective: there is enough rigor to challenge even the best student in the class, but also enough explanation and detail to meet the needs of a strggling student.

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Plasma Physics / Richard Fitzpatrick (2022) / 978-1-03-220251-8

Public ISBD Titre : Plasma Physics : An Introduction Type de document : texte imprimé Auteurs : Richard Fitzpatrick Mention d'édition : Second edition. Editeur : New York : CRC press Année de publication : 2022 Importance : pages cm Présentation : Couv. coul. et photos Format : 24cm. ISBN/ISSN/EAN : 978-1-03-220251-8 Langues : Anglais (eng) Langues originales : Anglais (eng) Tags : Charged Particle Motion  Plasma Parameters  Waves in Cold Plasma Index. décimale : 533.9 Résumé : "Encompasses the Lectured Works of a Renowned Expert in the Field Plasma Physics: An Introduction is based on a series of university course lectures by a leading name in the field, and thoroughly covers the physics of the fourth state of matter. This textbook provides a concise and cohesive introduction to plasma physics theory and offers a solid foundation for students of physics wishing to take higher level courses in plasma physics. Mathematically Rigorous, but Driven by Physics The author provides an in-depth discussion of the various fluid theories typically used in plasma physics, presenting non-relativistic, fully ionized, nondegenerate, quasi-neutral, and weakly coupled plasma. This second edition has been fully updated to include new content on collisions and magnetic reconnection. It contains over 80 exercises-carefully selected for their pedagogical value-with fully worked out solutions available in a separate solutions manual for professors. The material presents a number of applications, and works through specific topics including basic plasma parameters, the theory of charged particle motion in inhomogeneous electromagnetic fields, collisions, plasma fluid theory, electromagnetic waves in cold plasmas, electromagnetic wave propagation through inhomogeneous plasmas, kinetic theory, magnetohydrodynamical fluid theory, and magnetic reconnection"-- Plasma Physics : An Introduction [texte imprimé] / Richard Fitzpatrick  . -  Second edition. . - New York : CRC press, 2022 . - pages cm : Couv. coul. et photos ; 24cm. ISBN : 978-1-03-220251-8 Langues : Anglais (eng) Langues originales : Anglais (eng) Tags : Charged Particle Motion  Plasma Parameters  Waves in Cold Plasma Index. décimale : 533.9 Résumé : "Encompasses the Lectured Works of a Renowned Expert in the Field Plasma Physics: An Introduction is based on a series of university course lectures by a leading name in the field, and thoroughly covers the physics of the fourth state of matter. This textbook provides a concise and cohesive introduction to plasma physics theory and offers a solid foundation for students of physics wishing to take higher level courses in plasma physics. Mathematically Rigorous, but Driven by Physics The author provides an in-depth discussion of the various fluid theories typically used in plasma physics, presenting non-relativistic, fully ionized, nondegenerate, quasi-neutral, and weakly coupled plasma. This second edition has been fully updated to include new content on collisions and magnetic reconnection. It contains over 80 exercises-carefully selected for their pedagogical value-with fully worked out solutions available in a separate solutions manual for professors. The material presents a number of applications, and works through specific topics including basic plasma parameters, the theory of charged particle motion in inhomogeneous electromagnetic fields, collisions, plasma fluid theory, electromagnetic waves in cold plasmas, electromagnetic wave propagation through inhomogeneous plasmas, kinetic theory, magnetohydrodynamical fluid theory, and magnetic reconnection"--

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Representation Theory of Symmetric Groups / Pierre-Loic Meliot (2022) / 978-1-03-247692-6

Public ISBD Titre : Representation Theory of Symmetric Groups Type de document : texte imprimé Auteurs : Pierre-Loic Meliot, Auteur Editeur : New York : CRC press Année de publication : 2022 Collection : DISCRETE MATHEMATICS AND ITS APPLICATIONS Importance : 666p. Présentation : couv:ill. Format : 30cm ISBN/ISSN/EAN : 978-1-03-247692-6 Langues : Anglais (eng) Résumé : Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. This book is an excellent way of introducing today's students to representation theory of the symmetric groups, namely classical theory. From there, the book explains how the theory can be extended to other related combinatorial algebras like the Iwahori-Hecke algebra. In a clear and concise manner, the author presents the case that most calculations on symmetric group can be performed by utilizing appropriate algebras of functions. Thus, the book explains how some Hopf algebras (symmetric functions and generalizations) can be used to encode most of the combinatorial properties of the representations of symmetric groups. Overall, the book is an innovative introduction to representation theory of symmetric groups for graduate students and researchers seeking new ways of thought. Representation Theory of Symmetric Groups [texte imprimé] / Pierre-Loic Meliot, Auteur . - New York : CRC press, 2022 . - 666p. : couv:ill. ; 30cm. - (DISCRETE MATHEMATICS AND ITS APPLICATIONS) . ISBN : 978-1-03-247692-6 Langues : Anglais (eng) Résumé : Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. This book is an excellent way of introducing today's students to representation theory of the symmetric groups, namely classical theory. From there, the book explains how the theory can be extended to other related combinatorial algebras like the Iwahori-Hecke algebra. In a clear and concise manner, the author presents the case that most calculations on symmetric group can be performed by utilizing appropriate algebras of functions. Thus, the book explains how some Hopf algebras (symmetric functions and generalizations) can be used to encode most of the combinatorial properties of the representations of symmetric groups. Overall, the book is an innovative introduction to representation theory of symmetric groups for graduate students and researchers seeking new ways of thought.

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Understanding Real Analysis / Paul Zorn (2022) / 978-1-03-247645-2

Public ISBD Titre : Understanding Real Analysis Type de document : texte imprimé Auteurs : Paul Zorn, Auteur Mention d'édition : second edition Editeur : New York : CRC press Année de publication : 2022 Collection : Textbooks in Mathematics Importance : 339P. Présentation : couv:ill. Format : 30cm ISBN/ISSN/EAN : 978-1-03-247645-2 Langues : Anglais (eng) Catégories : 51 Mathématiques :517 Analyse mathématique :517.5 Théorie des fonctions Tags : real analysis  sequences and series  limits and continuity  derivatives  integrals  mathematical proofs  mathematical language  foundational mathematics  undergraduate textbook Index. décimale : 517.5 Théorie des fonctions Résumé : Understanding Real Analysis, Second Edition offers substantial coverage of foundational material and expands on the ideas of elementary calculus to develop a better understanding of crucial mathematical ideas. The text meets students at their current level and helps them develop a foundation in real analysis. The author brings definitions, proofs, examples and other mathematical tools together to show how they work to create unified theory. These helps students grasp the linguistic conventions of mathematics early in the text. The text allows the instructor to pace the course for students of different mathematical backgrounds. Key Features: Meets and aligns with various student backgrounds Pays explicit attention to basic formalities and technical language Contains varied problems and exercises Drives the narrative through questions Understanding Real Analysis [texte imprimé] / Paul Zorn, Auteur  . -  second edition . - New York : CRC press, 2022 . - 339P. : couv:ill. ; 30cm. - (Textbooks in Mathematics) . ISBN : 978-1-03-247645-2 Langues : Anglais (eng) Catégories : 51 Mathématiques :517 Analyse mathématique :517.5 Théorie des fonctions Tags : real analysis  sequences and series  limits and continuity  derivatives  integrals  mathematical proofs  mathematical language  foundational mathematics  undergraduate textbook Index. décimale : 517.5 Théorie des fonctions Résumé : Understanding Real Analysis, Second Edition offers substantial coverage of foundational material and expands on the ideas of elementary calculus to develop a better understanding of crucial mathematical ideas. The text meets students at their current level and helps them develop a foundation in real analysis. The author brings definitions, proofs, examples and other mathematical tools together to show how they work to create unified theory. These helps students grasp the linguistic conventions of mathematics early in the text. The text allows the instructor to pace the course for students of different mathematical backgrounds. Key Features: Meets and aligns with various student backgrounds Pays explicit attention to basic formalities and technical language Contains varied problems and exercises Drives the narrative through questions

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