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CMS Books in Mathematics, Ouvrages de mathématiques de la SMC
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Título : Banach Space Theory : The Basis for Linear and Nonlinear Analysis Tipo de documento: documento electrónico Autores: Marián Fabian ; SpringerLink (Online service) ; Petr Habala ; Petr Hájek ; Vicente Montesinos ; Václav Zizler Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Colección: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, ISSN 1613-5237 Número de páginas: XIV, 822p. 40 illus Il.: online resource ISBN/ISSN/DL: 978-1-4419-7515-7 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Topology Analysis Clasificación: 51 Matemáticas Resumen: Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book Nota de contenido: Preface -- Basic Concepts in Banach Spaces -- Hahn-Banach and Banach Open Mapping Theorems -- Weak Topologies and Banach Spaces -- Schauder Bases -- Structure of Banach Spaces -- Finite-Dimensional Spaces -- Optimization -- C^1 Smoothness in Separable Spaces -- Superreflexive Spaces -- Higher Order Smoothness -- Dentability and differentiability -- Basics in Nonlinear Geometric Analysis -- Weakly Compactly Generated Spaces -- Topics in Weak Topologies on Banach Spaces -- Compact Operators on Banach Spaces -- Tensor Products -- Appendix -- References -- Symbol Index -- Subject Index -- Author Index En línea: http://dx.doi.org/10.1007/978-1-4419-7515-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33163 Banach Space Theory : The Basis for Linear and Nonlinear Analysis [documento electrónico] / Marián Fabian ; SpringerLink (Online service) ; Petr Habala ; Petr Hájek ; Vicente Montesinos ; Václav Zizler . - New York, NY : Springer New York, 2011 . - XIV, 822p. 40 illus : online resource. - (CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, ISSN 1613-5237) .
ISBN : 978-1-4419-7515-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Topology Analysis Clasificación: 51 Matemáticas Resumen: Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book Nota de contenido: Preface -- Basic Concepts in Banach Spaces -- Hahn-Banach and Banach Open Mapping Theorems -- Weak Topologies and Banach Spaces -- Schauder Bases -- Structure of Banach Spaces -- Finite-Dimensional Spaces -- Optimization -- C^1 Smoothness in Separable Spaces -- Superreflexive Spaces -- Higher Order Smoothness -- Dentability and differentiability -- Basics in Nonlinear Geometric Analysis -- Weakly Compactly Generated Spaces -- Topics in Weak Topologies on Banach Spaces -- Compact Operators on Banach Spaces -- Tensor Products -- Appendix -- References -- Symbol Index -- Subject Index -- Author Index En línea: http://dx.doi.org/10.1007/978-1-4419-7515-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33163 Ejemplares
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Título : Classical Topics in Discrete Geometry Tipo de documento: documento electrónico Autores: Károly Bezdek ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2010 Colección: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, ISSN 1613-5237 Número de páginas: XIV, 166p Il.: online resource ISBN/ISSN/DL: 978-1-4419-0600-7 Idioma : Inglés (eng) Palabras clave: Mathematics Geometry Clasificación: 51 Matemáticas Resumen: About the author: Karoly Bezdek received his Dr.rer.nat.(1980) and Habilitation (1997) degrees in mathematics from the Eötvös Loránd University, in Budapest and his Candidate of Mathematical Sciences (1985) and Doctor of Mathematical Sciences (1994) degrees from the Hungarian Academy of Sciences. He is the author of more than 100 research papers and currently he is professor and Canada Research Chair of mathematics at the University of Calgary. About the book: This multipurpose book can serve as a textbook for a semester long graduate level course giving a brief introduction to Discrete Geometry. It also can serve as a research monograph that leads the reader to the frontiers of the most recent research developments in the classical core part of discrete geometry. Finally, the forty-some selected research problems offer a great chance to use the book as a short problem book aimed at advanced undergraduate and graduate students as well as researchers. The text is centered around four major and by now classical problems in discrete geometry. The first is the problem of densest sphere packings, which has more than 100 years of mathematically rich history. The second major problem is typically quoted under the approximately 50 years old illumination conjecture of V. Boltyanski and H. Hadwiger. The third topic is on covering by planks and cylinders with emphases on the affine invariant version of Tarski's plank problem, which was raised by T. Bang more than 50 years ago. The fourth topic is centered around the Kneser-Poulsen Conjecture, which also is approximately 50 years old. All four topics witnessed very recent breakthrough results, explaining their major role in this book Nota de contenido: Classical Topics Revisited -- Sphere Packings -- Finite Packings by Translates of Convex Bodies -- Coverings by Homothetic Bodies - Illumination and Related Topics -- Coverings by Planks and Cylinders -- On the Volume of Finite Arrangements of Spheres -- Ball-Polyhedra as Intersections of Congruent Balls -- Selected Proofs -- Selected Proofs on Sphere Packings -- Selected Proofs on Finite Packings of Translates of Convex Bodies -- Selected Proofs on Illumination and Related Topics -- Selected Proofs on Coverings by Planks and Cylinders -- Selected Proofs on the Kneser–Poulsen Conjecture -- Selected Proofs on Ball-Polyhedra En línea: http://dx.doi.org/10.1007/978-1-4419-0600-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33576 Classical Topics in Discrete Geometry [documento electrónico] / Károly Bezdek ; SpringerLink (Online service) . - New York, NY : Springer New York, 2010 . - XIV, 166p : online resource. - (CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, ISSN 1613-5237) .
ISBN : 978-1-4419-0600-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Geometry Clasificación: 51 Matemáticas Resumen: About the author: Karoly Bezdek received his Dr.rer.nat.(1980) and Habilitation (1997) degrees in mathematics from the Eötvös Loránd University, in Budapest and his Candidate of Mathematical Sciences (1985) and Doctor of Mathematical Sciences (1994) degrees from the Hungarian Academy of Sciences. He is the author of more than 100 research papers and currently he is professor and Canada Research Chair of mathematics at the University of Calgary. About the book: This multipurpose book can serve as a textbook for a semester long graduate level course giving a brief introduction to Discrete Geometry. It also can serve as a research monograph that leads the reader to the frontiers of the most recent research developments in the classical core part of discrete geometry. Finally, the forty-some selected research problems offer a great chance to use the book as a short problem book aimed at advanced undergraduate and graduate students as well as researchers. The text is centered around four major and by now classical problems in discrete geometry. The first is the problem of densest sphere packings, which has more than 100 years of mathematically rich history. The second major problem is typically quoted under the approximately 50 years old illumination conjecture of V. Boltyanski and H. Hadwiger. The third topic is on covering by planks and cylinders with emphases on the affine invariant version of Tarski's plank problem, which was raised by T. Bang more than 50 years ago. The fourth topic is centered around the Kneser-Poulsen Conjecture, which also is approximately 50 years old. All four topics witnessed very recent breakthrough results, explaining their major role in this book Nota de contenido: Classical Topics Revisited -- Sphere Packings -- Finite Packings by Translates of Convex Bodies -- Coverings by Homothetic Bodies - Illumination and Related Topics -- Coverings by Planks and Cylinders -- On the Volume of Finite Arrangements of Spheres -- Ball-Polyhedra as Intersections of Congruent Balls -- Selected Proofs -- Selected Proofs on Sphere Packings -- Selected Proofs on Finite Packings of Translates of Convex Bodies -- Selected Proofs on Illumination and Related Topics -- Selected Proofs on Coverings by Planks and Cylinders -- Selected Proofs on the Kneser–Poulsen Conjecture -- Selected Proofs on Ball-Polyhedra En línea: http://dx.doi.org/10.1007/978-1-4419-0600-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33576 Ejemplares
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Título : A Concrete Approach to Classical Analysis Tipo de documento: documento electrónico Autores: Marian Muresan ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2009 Otro editor: Imprint: Springer Colección: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, ISSN 1613-5237 Número de páginas: XVIII, 433 p Il.: online resource ISBN/ISSN/DL: 978-0-387-78933-0 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Clasificación: 51 Matemáticas Resumen: Mathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics. This new textbook is focused on differential and integral calculus, and includes a wealth of useful and relevant examples, exercises, and results enlightening the reader to the power of mathematical tools. The intended audience consists of advanced undergraduates studying mathematics or computer science. The author provides excursions from the standard topics to modern and exciting topics, to illustrate the fact that even first or second year students can understand certain research problems. The text has been divided into ten chapters and covers topics on sets and numbers, linear spaces and metric spaces, sequences and series of numbers and of functions, limits and continuity, differential and integral calculus of functions of one or several variables, constants (mainly pi) and algorithms for finding them, the W - Z method of summation, estimates of algorithms and of certain combinatorial problems. Many challenging exercises accompany the text. Most of them have been used to prepare for different mathematical competitions during the past few years. In this respect, the author has maintained a healthy balance of theory and exercises Nota de contenido: Sets and Numbers -- Vector Spaces and Metric Spaces -- Sequences and Series -- Limits and Continuity -- Differential Calculus on R -- Integral Calculus on R -- Differential Calculus on R -- Double Integrals, Triple Integrals, and Line Integrals -- Constants -- Asymptotic and Combinatorial Estimates En línea: http://dx.doi.org/10.1007/978-0-387-78933-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33879 A Concrete Approach to Classical Analysis [documento electrónico] / Marian Muresan ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2009 . - XVIII, 433 p : online resource. - (CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, ISSN 1613-5237) .
ISBN : 978-0-387-78933-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Clasificación: 51 Matemáticas Resumen: Mathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics. This new textbook is focused on differential and integral calculus, and includes a wealth of useful and relevant examples, exercises, and results enlightening the reader to the power of mathematical tools. The intended audience consists of advanced undergraduates studying mathematics or computer science. The author provides excursions from the standard topics to modern and exciting topics, to illustrate the fact that even first or second year students can understand certain research problems. The text has been divided into ten chapters and covers topics on sets and numbers, linear spaces and metric spaces, sequences and series of numbers and of functions, limits and continuity, differential and integral calculus of functions of one or several variables, constants (mainly pi) and algorithms for finding them, the W - Z method of summation, estimates of algorithms and of certain combinatorial problems. Many challenging exercises accompany the text. Most of them have been used to prepare for different mathematical competitions during the past few years. In this respect, the author has maintained a healthy balance of theory and exercises Nota de contenido: Sets and Numbers -- Vector Spaces and Metric Spaces -- Sequences and Series -- Limits and Continuity -- Differential Calculus on R -- Integral Calculus on R -- Differential Calculus on R -- Double Integrals, Triple Integrals, and Line Integrals -- Constants -- Asymptotic and Combinatorial Estimates En línea: http://dx.doi.org/10.1007/978-0-387-78933-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33879 Ejemplares
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Título : Convex Analysis and Monotone Operator Theory in Hilbert Spaces Tipo de documento: documento electrónico Autores: Heinz H. Bauschke ; SpringerLink (Online service) ; Patrick L. Combettes Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Colección: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, ISSN 1613-5237 Número de páginas: XVI, 468 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-9467-7 Idioma : Inglés (eng) Palabras clave: Mathematics Algorithms Visualization Calculus of variations Variations and Optimal Control; Optimization Clasificación: 51 Matemáticas Resumen: This book presents a largely self-contained account of the main results of convex analysis, monotone operator theory, and the theory of nonexpansive operators in the context of Hilbert spaces. Unlike existing literature, the novelty of this book, and indeed its central theme, is the tight interplay among the key notions of convexity, monotonicity, and nonexpansiveness. The presentation is accessible to a broad audience and attempts to reach out in particular to the applied sciences and engineering communities, where these tools have become indispensable. Graduate students and researchers in pure and applied mathematics will benefit from this book. It is also directed to researchers in engineering, decision sciences, economics, and inverse problems, and can serve as a reference book. Author Information: Heinz H. Bauschke is a Professor of Mathematics at the University of British Columbia, Okanagan campus (UBCO) and currently a Canada Research Chair in Convex Analysis and Optimization. He was born in Frankfurt where he received his "Diplom-Mathematiker (mit Auszeichnung)" from Goethe Universität in 1990. He defended his Ph.D. thesis in Mathematics at Simon Fraser University in 1996 and was awarded the Governor General's Gold Medal for his graduate work. After a NSERC Postdoctoral Fellowship spent at the University of Waterloo, at the Pennsylvania State University, and at the University of California at Santa Barbara, Dr. Bauschke became College Professor at Okanagan University College in 1998. He joined the University of Guelph in 2001, and he returned to Kelowna in 2005, when Okanagan University College turned into UBCO. In 2009, he became UBCO's first "Researcher of the Year". Patrick L. Combettes received the Brevet d'Études du Premier Cycle from Académie de Versailles in 1977 and the Ph.D. degree from North Carolina State University in 1989. In 1990, he joined the City College and the Graduate Center of the City University of New York where he became a Full Professor in 1999. Since 1999, he has been with the Faculty of Mathematics of Université Pierre et Marie Curie -- Paris 6, laboratoire Jacques-Louis Lions, where he is presently a Professeur de Classe Exceptionnelle. He was elected Fellow of the IEEE in 2005 Nota de contenido: Background -- Hilbert Spaces -- Convex sets -- Convexity and Nonexpansiveness -- Fej´er Monotonicity and Fixed Point Iterations -- Convex Cones and Generalized Interiors -- Support Functions and Polar Sets -- Convex Functions -- Lower Semicontinuous Convex Functions -- Convex Functions: Variants -- Convex Variational Problems -- Infimal Convolution -- Conjugation -- Further Conjugation Results -- Fenchel–Rockafellar Duality -- Subdifferentiability -- Differentiability of Convex Functions -- Further Differentiability Results -- Duality in Convex Optimization -- Monotone Operators -- Finer Properties of Monotone Operators -- Stronger Notions of Monotonicity -- Resolvents of Monotone Operators -- Sums of Monotone Operators.-Zeros of Sums of Monotone Operators -- Fermat’s Rule in Convex Optimization -- Proximal Minimization Projection Operators -- Best Approximation Algorithms -- Bibliographical Pointers -- Symbols and Notation -- References En línea: http://dx.doi.org/10.1007/978-1-4419-9467-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33184 Convex Analysis and Monotone Operator Theory in Hilbert Spaces [documento electrónico] / Heinz H. Bauschke ; SpringerLink (Online service) ; Patrick L. Combettes . - New York, NY : Springer New York, 2011 . - XVI, 468 p : online resource. - (CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, ISSN 1613-5237) .
ISBN : 978-1-4419-9467-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Algorithms Visualization Calculus of variations Variations and Optimal Control; Optimization Clasificación: 51 Matemáticas Resumen: This book presents a largely self-contained account of the main results of convex analysis, monotone operator theory, and the theory of nonexpansive operators in the context of Hilbert spaces. Unlike existing literature, the novelty of this book, and indeed its central theme, is the tight interplay among the key notions of convexity, monotonicity, and nonexpansiveness. The presentation is accessible to a broad audience and attempts to reach out in particular to the applied sciences and engineering communities, where these tools have become indispensable. Graduate students and researchers in pure and applied mathematics will benefit from this book. It is also directed to researchers in engineering, decision sciences, economics, and inverse problems, and can serve as a reference book. Author Information: Heinz H. Bauschke is a Professor of Mathematics at the University of British Columbia, Okanagan campus (UBCO) and currently a Canada Research Chair in Convex Analysis and Optimization. He was born in Frankfurt where he received his "Diplom-Mathematiker (mit Auszeichnung)" from Goethe Universität in 1990. He defended his Ph.D. thesis in Mathematics at Simon Fraser University in 1996 and was awarded the Governor General's Gold Medal for his graduate work. After a NSERC Postdoctoral Fellowship spent at the University of Waterloo, at the Pennsylvania State University, and at the University of California at Santa Barbara, Dr. Bauschke became College Professor at Okanagan University College in 1998. He joined the University of Guelph in 2001, and he returned to Kelowna in 2005, when Okanagan University College turned into UBCO. In 2009, he became UBCO's first "Researcher of the Year". Patrick L. Combettes received the Brevet d'Études du Premier Cycle from Académie de Versailles in 1977 and the Ph.D. degree from North Carolina State University in 1989. In 1990, he joined the City College and the Graduate Center of the City University of New York where he became a Full Professor in 1999. Since 1999, he has been with the Faculty of Mathematics of Université Pierre et Marie Curie -- Paris 6, laboratoire Jacques-Louis Lions, where he is presently a Professeur de Classe Exceptionnelle. He was elected Fellow of the IEEE in 2005 Nota de contenido: Background -- Hilbert Spaces -- Convex sets -- Convexity and Nonexpansiveness -- Fej´er Monotonicity and Fixed Point Iterations -- Convex Cones and Generalized Interiors -- Support Functions and Polar Sets -- Convex Functions -- Lower Semicontinuous Convex Functions -- Convex Functions: Variants -- Convex Variational Problems -- Infimal Convolution -- Conjugation -- Further Conjugation Results -- Fenchel–Rockafellar Duality -- Subdifferentiability -- Differentiability of Convex Functions -- Further Differentiability Results -- Duality in Convex Optimization -- Monotone Operators -- Finer Properties of Monotone Operators -- Stronger Notions of Monotonicity -- Resolvents of Monotone Operators -- Sums of Monotone Operators.-Zeros of Sums of Monotone Operators -- Fermat’s Rule in Convex Optimization -- Proximal Minimization Projection Operators -- Best Approximation Algorithms -- Bibliographical Pointers -- Symbols and Notation -- References En línea: http://dx.doi.org/10.1007/978-1-4419-9467-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33184 Ejemplares
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Título : Ordering Block Designs : Gray Codes, Universal Cycles and Configuration Orderings Tipo de documento: documento electrónico Autores: Megan Dewar ; SpringerLink (Online service) ; Brett Stevens Editorial: New York, NY : Springer New York Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, ISSN 1613-5237 Número de páginas: XII, 208 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-4325-4 Idioma : Inglés (eng) Palabras clave: Mathematics Computer science Combinatorics Mathematics, general Discrete in Science Clasificación: 51 Matemáticas Resumen: The study of combinatorial block designs is a vibrant area of combinatorial mathematics with connections to finite geometries, graph theory, coding theory and statistics. The practice of ordering combinatorial objects can trace its roots to bell ringing which originated in 17th century England, but only emerged as a significant modern research area with the work of F. Gray and N. de Bruijn. These two fascinating areas of mathematics are brought together for the first time in this book. It presents new terminology and concepts which unify existing and recent results from a wide variety of sources. In order to provide a complete introduction and survey, the book begins with background material on combinatorial block designs and combinatorial orderings, including Gray codes — the most common and well-studied combinatorial ordering concept — and universal cycles. The central chapter discusses how ordering concepts can be applied to block designs, with definitions from existing (configuration orderings) and new (Gray codes and universal cycles for designs) research. Two chapters are devoted to a survey of results in the field, including illustrative proofs and examples. The book concludes with a discussion of connections to a broad range of applications in computer science, engineering and statistics. This book will appeal to both graduate students and researchers. Each chapter contains worked examples and proofs, complete reference lists, exercises and a list of conjectures and open problems. Practitioners will also find the book appealing for its accessible, self-contained introduction to the mathematics behind the applications Nota de contenido: Abstract -- Acknowledgements -- Introduction -- Background -- Ordering the Blocks of Designs -- Gray Codes and Universal Cycles for Designs -- New Results in Configuration Ordering -- Conclusions and Future Work -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-4325-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32843 Ordering Block Designs : Gray Codes, Universal Cycles and Configuration Orderings [documento electrónico] / Megan Dewar ; SpringerLink (Online service) ; Brett Stevens . - New York, NY : Springer New York : Imprint: Springer, 2012 . - XII, 208 p : online resource. - (CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, ISSN 1613-5237) .
ISBN : 978-1-4614-4325-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer science Combinatorics Mathematics, general Discrete in Science Clasificación: 51 Matemáticas Resumen: The study of combinatorial block designs is a vibrant area of combinatorial mathematics with connections to finite geometries, graph theory, coding theory and statistics. The practice of ordering combinatorial objects can trace its roots to bell ringing which originated in 17th century England, but only emerged as a significant modern research area with the work of F. Gray and N. de Bruijn. These two fascinating areas of mathematics are brought together for the first time in this book. It presents new terminology and concepts which unify existing and recent results from a wide variety of sources. In order to provide a complete introduction and survey, the book begins with background material on combinatorial block designs and combinatorial orderings, including Gray codes — the most common and well-studied combinatorial ordering concept — and universal cycles. The central chapter discusses how ordering concepts can be applied to block designs, with definitions from existing (configuration orderings) and new (Gray codes and universal cycles for designs) research. Two chapters are devoted to a survey of results in the field, including illustrative proofs and examples. The book concludes with a discussion of connections to a broad range of applications in computer science, engineering and statistics. This book will appeal to both graduate students and researchers. Each chapter contains worked examples and proofs, complete reference lists, exercises and a list of conjectures and open problems. Practitioners will also find the book appealing for its accessible, self-contained introduction to the mathematics behind the applications Nota de contenido: Abstract -- Acknowledgements -- Introduction -- Background -- Ordering the Blocks of Designs -- Gray Codes and Universal Cycles for Designs -- New Results in Configuration Ordering -- Conclusions and Future Work -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-4325-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32843 Ejemplares
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