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Título : Difference Algebra Tipo de documento: documento electrónico Autores: Alexander Levin ; SpringerLink (Online service) Editorial: Dordrecht : Springer Netherlands Fecha de publicación: 2008 Colección: Algebra and Applications, ISSN 1572-5553 num. 8 Número de páginas: XI, 521 p Il.: online resource ISBN/ISSN/DL: 978-1-4020-6947-5 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Commutative algebra rings Field theory (Physics) Difference equations Functional Theory and Polynomials Rings Algebras Equations Clasificación: 51 Matemáticas Resumen: Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields in much the same way as the classical algebraic geometry arose from the study of polynomial equations with numerical coefficients. The first stage of the development of the theory is associated with its founder J. F. Ritt (1893 - 1951) and R. Cohn whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years. Nowadays, difference algebra has overgrew the frame of the theory of ordinary algebraic difference equations and appears as a rich theory with applications to the study of equations in finite differences, functional equations, differential equations with delay, algebraic structures with operators, group and semigroup rings. This book reflects the contemporary level of difference algebra; it contains a systematic study of partial difference algebraic structures and their applications, as well as the coverage of the classical theory of ordinary difference rings and field extensions. The monograph is intended for graduate students and researchers in difference and differential algebra, commutative algebra, ring theory, and algebraic geometry. It will be also of interest to researchers in computer algebra, theory of difference equations and equations of mathematical physics. The book is self-contained; it requires no prerequisites other than knowledge of basic algebraic concepts and mathematical maturity of an advanced undergraduate Nota de contenido: Preliminaries -- Basic Concepts of Difference Algebra -- Difference Modules -- Difference Field Extensions -- Compatibility, Replicability, and Monadicity -- Difference Kernels over Partial Difference Fields. Difference Valuation Rings -- Systems of Algebraic Difference Equations -- Elements of the Difference Galois Theory En línea: http://dx.doi.org/10.1007/978-1-4020-6947-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34290 Difference Algebra [documento electrónico] / Alexander Levin ; SpringerLink (Online service) . - Dordrecht : Springer Netherlands, 2008 . - XI, 521 p : online resource. - (Algebra and Applications, ISSN 1572-5553; 8) .
ISBN : 978-1-4020-6947-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Commutative algebra rings Field theory (Physics) Difference equations Functional Theory and Polynomials Rings Algebras Equations Clasificación: 51 Matemáticas Resumen: Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields in much the same way as the classical algebraic geometry arose from the study of polynomial equations with numerical coefficients. The first stage of the development of the theory is associated with its founder J. F. Ritt (1893 - 1951) and R. Cohn whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years. Nowadays, difference algebra has overgrew the frame of the theory of ordinary algebraic difference equations and appears as a rich theory with applications to the study of equations in finite differences, functional equations, differential equations with delay, algebraic structures with operators, group and semigroup rings. This book reflects the contemporary level of difference algebra; it contains a systematic study of partial difference algebraic structures and their applications, as well as the coverage of the classical theory of ordinary difference rings and field extensions. The monograph is intended for graduate students and researchers in difference and differential algebra, commutative algebra, ring theory, and algebraic geometry. It will be also of interest to researchers in computer algebra, theory of difference equations and equations of mathematical physics. The book is self-contained; it requires no prerequisites other than knowledge of basic algebraic concepts and mathematical maturity of an advanced undergraduate Nota de contenido: Preliminaries -- Basic Concepts of Difference Algebra -- Difference Modules -- Difference Field Extensions -- Compatibility, Replicability, and Monadicity -- Difference Kernels over Partial Difference Fields. Difference Valuation Rings -- Systems of Algebraic Difference Equations -- Elements of the Difference Galois Theory En línea: http://dx.doi.org/10.1007/978-1-4020-6947-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34290 Ejemplares
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Título : Difference Equations : From Rabbits to Chaos Tipo de documento: documento electrónico Autores: Paul Cull ; SpringerLink (Online service) ; Mary Flahive ; Robson, Robby Editorial: New York, NY : Springer New York Fecha de publicación: 2005 Colección: Undergraduate Texts in Mathematics, ISSN 0172-6056 Número de páginas: XIII, 392 p Il.: online resource ISBN/ISSN/DL: 978-0-387-27645-8 Idioma : Inglés (eng) Palabras clave: Mathematics Matrix theory Algebra Difference equations Functional Combinatorics and Equations Linear Multilinear Algebras, Theory Clasificación: 51 Matemáticas Resumen: Difference equations are models of the world around us. From clocks to computers to chromosomes, processing discrete objects in discrete steps is a common theme. Difference equations arise naturally from such discrete descriptions and allow us to pose and answer such questions as: How much? How many? How long? Difference equations are a necessary part of the mathematical repertoire of all modern scientists and engineers. In this new text, designed for sophomores studying mathematics and computer science, the authors cover the basics of difference equations and some of their applications in computing and in population biology. Each chapter leads to techniques that can be applied by hand to small examples or programmed for larger problems. Along the way, the reader will use linear algebra and graph theory, develop formal power series, solve combinatorial problems, visit Perron—Frobenius theory, discuss pseudorandom number generation and integer factorization, and apply the Fast Fourier Transform to multiply polynomials quickly. The book contains many worked examples and over 250 exercises. While these exercises are accessible to students and have been class-tested, they also suggest further problems and possible research topics. Paul Cull is a professor of Computer Science at Oregon State University. Mary Flahive is a professor of Mathematics at Oregon State University. Robby Robson is president of Eduworks, an e-learning consulting firm. None has a rabbit. Nota de contenido: Fibonacci Numbers -- Homogeneous Linear Recurrence Relations -- Finite Difference Equations -- Generating Functions -- Nonnegative Difference Equations -- Leslie’s Population Matrix Model -- Matrix Difference Equations -- Modular Recurrences -- Computational Complexity -- Some Nonlinear Recurrences En línea: http://dx.doi.org/10.1007/0-387-27645-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35130 Difference Equations : From Rabbits to Chaos [documento electrónico] / Paul Cull ; SpringerLink (Online service) ; Mary Flahive ; Robson, Robby . - New York, NY : Springer New York, 2005 . - XIII, 392 p : online resource. - (Undergraduate Texts in Mathematics, ISSN 0172-6056) .
ISBN : 978-0-387-27645-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Matrix theory Algebra Difference equations Functional Combinatorics and Equations Linear Multilinear Algebras, Theory Clasificación: 51 Matemáticas Resumen: Difference equations are models of the world around us. From clocks to computers to chromosomes, processing discrete objects in discrete steps is a common theme. Difference equations arise naturally from such discrete descriptions and allow us to pose and answer such questions as: How much? How many? How long? Difference equations are a necessary part of the mathematical repertoire of all modern scientists and engineers. In this new text, designed for sophomores studying mathematics and computer science, the authors cover the basics of difference equations and some of their applications in computing and in population biology. Each chapter leads to techniques that can be applied by hand to small examples or programmed for larger problems. Along the way, the reader will use linear algebra and graph theory, develop formal power series, solve combinatorial problems, visit Perron—Frobenius theory, discuss pseudorandom number generation and integer factorization, and apply the Fast Fourier Transform to multiply polynomials quickly. The book contains many worked examples and over 250 exercises. While these exercises are accessible to students and have been class-tested, they also suggest further problems and possible research topics. Paul Cull is a professor of Computer Science at Oregon State University. Mary Flahive is a professor of Mathematics at Oregon State University. Robby Robson is president of Eduworks, an e-learning consulting firm. None has a rabbit. Nota de contenido: Fibonacci Numbers -- Homogeneous Linear Recurrence Relations -- Finite Difference Equations -- Generating Functions -- Nonnegative Difference Equations -- Leslie’s Population Matrix Model -- Matrix Difference Equations -- Modular Recurrences -- Computational Complexity -- Some Nonlinear Recurrences En línea: http://dx.doi.org/10.1007/0-387-27645-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35130 Ejemplares
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Título : An Introduction to Difference Equations Tipo de documento: documento electrónico Autores: Saber Elaydi ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2005 Colección: Undergraduate Texts in Mathematics, ISSN 0172-6056 Número de páginas: XXII, 540 p Il.: online resource ISBN/ISSN/DL: 978-0-387-27602-1 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Difference equations Functional and Equations Clasificación: 51 Matemáticas Resumen: The book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material, yet the presentation is simple enough for the book to be used by advanced undergraduate and beginning graduate students. This third edition includes more proofs, more graphs, and more applications. The author has also updated the contents by adding a new chapter on Higher Order Scalar Difference Equations, along with recent results on local and global stability of one-dimensional maps, a new section on the various notions of asymptoticity of solutions, a detailed proof of Levin-May Theorem, and the latest results on the LPA flour-beetle model. Saber Elaydi is Professor of Mathematics at Trinity University. He is also the author of Discrete Chaos (1999), and the Editor-In-Chief of the Journal of Difference Equations and Applications. About the Second Edition: The book is a valuable reference for anyone who models discrete systems. Dynamicists have the long-awaited discrete counterpart to standard textbooks such as Hirsch and Smale ('Differential Equations, Dynamical Systems, and Linear Algebra'). It is so well written and well designed, and the contents are so interesting to me, that I had a difficult time putting it down. - Shandelle Henson, Journal of Difference Equations and Applications Among the few introductory texts to difference equations this book is one of the very best ones. It has many features that the other texts don't have, e.g., stability theory, the Z-transform method (including a study of Volterra systems), and asymptotic behavior of solutions of difference equations (including Levinson's lemma) are studied extensively. It also contains very nice examples that primarily arise in applications in a variety of disciplines, including neural networks, feedback control, biology, Markov chains, economics, and heat transfer... -Martin Bohner, University of Missouri, Rolla Nota de contenido: Dynamics of First-Order Difference Equations -- Linear Difference Equations of Higher Order -- Systems of Linear Difference Equations -- Stability Theory -- Higher-Order Scalar Difference Equations -- The Z-Transform Method and Volterra Difference Equations -- Oscillation Theory -- Asymptotic Behavior of Difference Equations -- Applications to Continued Fractions and Orthogonal Polynomials -- Control Theory En línea: http://dx.doi.org/10.1007/0-387-27602-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35126 An Introduction to Difference Equations [documento electrónico] / Saber Elaydi ; SpringerLink (Online service) . - New York, NY : Springer New York, 2005 . - XXII, 540 p : online resource. - (Undergraduate Texts in Mathematics, ISSN 0172-6056) .
ISBN : 978-0-387-27602-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Difference equations Functional and Equations Clasificación: 51 Matemáticas Resumen: The book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material, yet the presentation is simple enough for the book to be used by advanced undergraduate and beginning graduate students. This third edition includes more proofs, more graphs, and more applications. The author has also updated the contents by adding a new chapter on Higher Order Scalar Difference Equations, along with recent results on local and global stability of one-dimensional maps, a new section on the various notions of asymptoticity of solutions, a detailed proof of Levin-May Theorem, and the latest results on the LPA flour-beetle model. Saber Elaydi is Professor of Mathematics at Trinity University. He is also the author of Discrete Chaos (1999), and the Editor-In-Chief of the Journal of Difference Equations and Applications. About the Second Edition: The book is a valuable reference for anyone who models discrete systems. Dynamicists have the long-awaited discrete counterpart to standard textbooks such as Hirsch and Smale ('Differential Equations, Dynamical Systems, and Linear Algebra'). It is so well written and well designed, and the contents are so interesting to me, that I had a difficult time putting it down. - Shandelle Henson, Journal of Difference Equations and Applications Among the few introductory texts to difference equations this book is one of the very best ones. It has many features that the other texts don't have, e.g., stability theory, the Z-transform method (including a study of Volterra systems), and asymptotic behavior of solutions of difference equations (including Levinson's lemma) are studied extensively. It also contains very nice examples that primarily arise in applications in a variety of disciplines, including neural networks, feedback control, biology, Markov chains, economics, and heat transfer... -Martin Bohner, University of Missouri, Rolla Nota de contenido: Dynamics of First-Order Difference Equations -- Linear Difference Equations of Higher Order -- Systems of Linear Difference Equations -- Stability Theory -- Higher-Order Scalar Difference Equations -- The Z-Transform Method and Volterra Difference Equations -- Oscillation Theory -- Asymptotic Behavior of Difference Equations -- Applications to Continued Fractions and Orthogonal Polynomials -- Control Theory En línea: http://dx.doi.org/10.1007/0-387-27602-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35126 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Differential and Difference Equations with Applications / SpringerLink (Online service) ; Pinelas, Sandra ; Michel Chipot ; Zuzana Dosla (2013)
Título : Differential and Difference Equations with Applications : Contributions from the International Conference on Differential & Difference Equations and Applications Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Pinelas, Sandra ; Michel Chipot ; Zuzana Dosla Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009 num. 47 Número de páginas: XI, 665 p. 67 illus., 37 illus. in color Il.: online resource ISBN/ISSN/DL: 978-1-4614-7333-6 Idioma : Inglés (eng) Palabras clave: Mathematics Difference equations Functional Dynamics Ergodic theory Integral Differential Partial differential Ordinary Equations and Dynamical Systems Theory Clasificación: 51 Matemáticas Resumen: The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and to promote the exchange of ideas and research. The papers cover all areas of differential and difference equations with a special emphasis on applications Nota de contenido: Ondrej Dosly -- Robert Finn -- Nadezhda Konyukhova -- Roman Koplotadze -- Sergey Korotov -- Ulrich Krause.-Jean Mawhin -- Felix Sadyrbaev -- Stefan Siegmund -- I.P. Stavroulakis -- Jeff Webb -- Patricia Wong -- Agacik Zafer -- Fábio Zanolin -- María Anguiano -- Irina Astashova -- Basem Attili -- Giles Auchmuty -- Blanka Baculikova -- Jung-Chao Ban -- Luciano Barbanti -- Michal Benes -- Joel Blot -- Gabrielle Bonanno -- Alberto Boscaggin -- Pasquale Candito -- Tomás Caraballo -- Valery Covachev -- Miguel Brito da Cruz -- Irada Dzhalladova -- Jozef Dzurina -- Svetlana Ezhak -- Silvia Gago -- Isaac A. García -- Shapour Heidarkhani -- Gabriela Holubova -- Gennaro Infante -- Vladimir Jacimovic -- Fatma Karakoc -- Elena Karulina -- Elena Kostousova -- Pedro Lima -- Somayeh Mahdavi -- Natália Martins -- Helena Melo -- Maryam Mirzapour -- Mesliza Mohamed -- Maria Luisa Morgado -- Ralph Oberste-Vorth -- Ana Pedro -- Stella Vernier Piro -- Andrejs Reinfelds -- Helia Serrano -- Naoki Shioji -- Walter Sizer -- Francisco Suárez-Grau -- Volodymyr Sushch -- Vladimir Vasilyev -- Junfang Zhao -- Nikolaos Zographopoulos En línea: http://dx.doi.org/10.1007/978-1-4614-7333-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32350 Differential and Difference Equations with Applications : Contributions from the International Conference on Differential & Difference Equations and Applications [documento electrónico] / SpringerLink (Online service) ; Pinelas, Sandra ; Michel Chipot ; Zuzana Dosla . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XI, 665 p. 67 illus., 37 illus. in color : online resource. - (Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009; 47) .
ISBN : 978-1-4614-7333-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Difference equations Functional Dynamics Ergodic theory Integral Differential Partial differential Ordinary Equations and Dynamical Systems Theory Clasificación: 51 Matemáticas Resumen: The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and to promote the exchange of ideas and research. The papers cover all areas of differential and difference equations with a special emphasis on applications Nota de contenido: Ondrej Dosly -- Robert Finn -- Nadezhda Konyukhova -- Roman Koplotadze -- Sergey Korotov -- Ulrich Krause.-Jean Mawhin -- Felix Sadyrbaev -- Stefan Siegmund -- I.P. Stavroulakis -- Jeff Webb -- Patricia Wong -- Agacik Zafer -- Fábio Zanolin -- María Anguiano -- Irina Astashova -- Basem Attili -- Giles Auchmuty -- Blanka Baculikova -- Jung-Chao Ban -- Luciano Barbanti -- Michal Benes -- Joel Blot -- Gabrielle Bonanno -- Alberto Boscaggin -- Pasquale Candito -- Tomás Caraballo -- Valery Covachev -- Miguel Brito da Cruz -- Irada Dzhalladova -- Jozef Dzurina -- Svetlana Ezhak -- Silvia Gago -- Isaac A. García -- Shapour Heidarkhani -- Gabriela Holubova -- Gennaro Infante -- Vladimir Jacimovic -- Fatma Karakoc -- Elena Karulina -- Elena Kostousova -- Pedro Lima -- Somayeh Mahdavi -- Natália Martins -- Helena Melo -- Maryam Mirzapour -- Mesliza Mohamed -- Maria Luisa Morgado -- Ralph Oberste-Vorth -- Ana Pedro -- Stella Vernier Piro -- Andrejs Reinfelds -- Helia Serrano -- Naoki Shioji -- Walter Sizer -- Francisco Suárez-Grau -- Volodymyr Sushch -- Vladimir Vasilyev -- Junfang Zhao -- Nikolaos Zographopoulos En línea: http://dx.doi.org/10.1007/978-1-4614-7333-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32350 Ejemplares
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Título : Discrete Spectral Synthesis and Its Applications Tipo de documento: documento electrónico Autores: Székelyhidi, László ; SpringerLink (Online service) Editorial: Dordrecht : Springer Netherlands Fecha de publicación: 2006 Colección: Springer Monographs in Mathematics, ISSN 1439-7382 Número de páginas: XV, 119 p Il.: online resource ISBN/ISSN/DL: 978-1-4020-4637-7 Idioma : Inglés (eng) Palabras clave: Mathematics Commutative algebra rings Harmonic analysis Difference equations Functional Fourier Abstract Analysis and Equations Rings Algebras Clasificación: 51 Matemáticas Resumen: In order to study discrete Abelian groups with wide range applications, the use of classical functional equations, difference and differential equations, polynomial ideals, digital filtering and polynomial hypergroups is required. This book covers several different problems in this field and is unique in being the only comprehensive coverage of this topic. It should appeal to graduate students and researchers in harmonic analysis, spectral analysis, functional equations and hypergroups Nota de contenido: Spectral synthesis and spectral analysis -- Spectral analysis and spectral synthesis on discrete Abelian groups -- Spectral synthesis and functional equations -- Mean periodic functions -- Difference equations in several variables -- Spectral analysis and synthesis on polynomial hypergroups in a single variable -- Spectral analysis and synthesis on multivariate polynomial hypergroups En línea: http://dx.doi.org/10.1007/978-1-4020-4637-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34892 Discrete Spectral Synthesis and Its Applications [documento electrónico] / Székelyhidi, László ; SpringerLink (Online service) . - Dordrecht : Springer Netherlands, 2006 . - XV, 119 p : online resource. - (Springer Monographs in Mathematics, ISSN 1439-7382) .
ISBN : 978-1-4020-4637-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Commutative algebra rings Harmonic analysis Difference equations Functional Fourier Abstract Analysis and Equations Rings Algebras Clasificación: 51 Matemáticas Resumen: In order to study discrete Abelian groups with wide range applications, the use of classical functional equations, difference and differential equations, polynomial ideals, digital filtering and polynomial hypergroups is required. This book covers several different problems in this field and is unique in being the only comprehensive coverage of this topic. It should appeal to graduate students and researchers in harmonic analysis, spectral analysis, functional equations and hypergroups Nota de contenido: Spectral synthesis and spectral analysis -- Spectral analysis and spectral synthesis on discrete Abelian groups -- Spectral synthesis and functional equations -- Mean periodic functions -- Difference equations in several variables -- Spectral analysis and synthesis on polynomial hypergroups in a single variable -- Spectral analysis and synthesis on multivariate polynomial hypergroups En línea: http://dx.doi.org/10.1007/978-1-4020-4637-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34892 Ejemplares
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