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Titre : From Here to infinity : A guide to Today's Mathematics Type de document : texte imprimé Auteurs : Ian Stewart, Auteur Editeur : Oxford University Press ISBN/ISSN/EAN : 978-0-19-283202-3 Catégories : Mathématiques
Mathématiques:Mathématiques (manuels scolaires, mathématiques pures)Index. décimale : 510 Mathématiques Générales Résumé : In this retitled and revised edition of The Problems of Mathematics, renowned mathematician Ian Stewart gives math buffs and non-technical readers--as well as students of the subject--the perfect guide to today's mathematics. This challenging and fascinating book includes three new chapters that cover the most recent developments in the mathematics field, including one on Kepler's sphere-packing problem, to which a solution has been at last announced after a wait of 380 years.
Stewart, a particularly gifted mathematician and writer, shows us not only that math can be explained in everyday language, but that it can be downright fun as well. Puzzle solvers especially will delight in accounts of puzzles like Fermat's famous theorem, manifolds (a kind of mathematical origami in many dimensions), and the patterns in chaos. And what reader wouldn't want probability theory explained by demonstrating how to maximize one's lottery winnings?
According to From Here to Infinity, good mathematics has an air of economy and an element of surprise. One could easily make the same claim for this instructive, amusing, and sometimes mind-boggling book.From Here to infinity : A guide to Today's Mathematics [texte imprimé] / Ian Stewart, Auteur . - [S.l.] : Oxford University Press, [s.d.].
ISBN : 978-0-19-283202-3
Catégories : Mathématiques
Mathématiques:Mathématiques (manuels scolaires, mathématiques pures)Index. décimale : 510 Mathématiques Générales Résumé : In this retitled and revised edition of The Problems of Mathematics, renowned mathematician Ian Stewart gives math buffs and non-technical readers--as well as students of the subject--the perfect guide to today's mathematics. This challenging and fascinating book includes three new chapters that cover the most recent developments in the mathematics field, including one on Kepler's sphere-packing problem, to which a solution has been at last announced after a wait of 380 years.
Stewart, a particularly gifted mathematician and writer, shows us not only that math can be explained in everyday language, but that it can be downright fun as well. Puzzle solvers especially will delight in accounts of puzzles like Fermat's famous theorem, manifolds (a kind of mathematical origami in many dimensions), and the patterns in chaos. And what reader wouldn't want probability theory explained by demonstrating how to maximize one's lottery winnings?
According to From Here to Infinity, good mathematics has an air of economy and an element of surprise. One could easily make the same claim for this instructive, amusing, and sometimes mind-boggling book.Exemplaires (2)
Code-barres Cote Support Localisation Section Disponibilité 9780192832023MIT001 510/061 Livre Maths&Informatique Fonds mathématiques Disponible 9780192832023MIT002 510/061 Livre Maths&Informatique Fonds mathématiques Disponible
Titre : Optimal Control : An introduction to the theory with applications Type de document : texte imprimé Auteurs : Leslie M. Hocking, Auteur Editeur : Oxford University Press ISBN/ISSN/EAN : 978-0-19-859682-0 Catégories : Informatique
Informatique:Divers
Informatique:Divers:Technique de la commande automatiqueIndex. décimale : 629.8 Technique de la commande automatique Résumé : Systems that evolve with time occur frequently in nature and modelling the behavior of such systems provides an important application of mathematics. These systems can be completely deterministic, but it may be possible too to control their behavior by intervention through "controls". The theory of optimal control is concerned with determining such controls which, at minimum cost, either direct the system along a given trajectory or enable it to reach a given point in its state space. This textbook is a straightforward introduction to the theory of optimal control with an emphasis on presenting many different applications. Professor Hocking has taken pains to ensure that the theory is developed to display the main themes of the arguments but without using sophisticated mathematical tools. Problems in this setting can arise across a wide range of subjects and there are illustrative examples of systems from fields as diverse as dynamics, economics, population control, and medicine. Throughout there are many worked examples, and numerous exercises (with solutions) are provided. Optimal Control : An introduction to the theory with applications [texte imprimé] / Leslie M. Hocking, Auteur . - [S.l.] : Oxford University Press, [s.d.].
ISBN : 978-0-19-859682-0
Catégories : Informatique
Informatique:Divers
Informatique:Divers:Technique de la commande automatiqueIndex. décimale : 629.8 Technique de la commande automatique Résumé : Systems that evolve with time occur frequently in nature and modelling the behavior of such systems provides an important application of mathematics. These systems can be completely deterministic, but it may be possible too to control their behavior by intervention through "controls". The theory of optimal control is concerned with determining such controls which, at minimum cost, either direct the system along a given trajectory or enable it to reach a given point in its state space. This textbook is a straightforward introduction to the theory of optimal control with an emphasis on presenting many different applications. Professor Hocking has taken pains to ensure that the theory is developed to display the main themes of the arguments but without using sophisticated mathematical tools. Problems in this setting can arise across a wide range of subjects and there are illustrative examples of systems from fields as diverse as dynamics, economics, population control, and medicine. Throughout there are many worked examples, and numerous exercises (with solutions) are provided. Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité 9780198596820MIT001 629.8/001 Livre Maths&Informatique Fonds informatique Disponible
Titre : Selected topics in approximation and computation Type de document : texte imprimé Auteurs : Marek A. Kowalski, Auteur Editeur : Oxford University Press ISBN/ISSN/EAN : 978-0-19-508059-9 Langues : Anglais (eng) Catégories : Mathématiques
Mathématiques:Principes généraux des mathématiquesIndex. décimale : 511 Principes généraux des mathématiques Résumé : Selected Topics in Approximation and Computation addresses the relationship between modern approximation theory and computational methods. The text is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including Sinc methods, elliptic function methods, and positive operator approximation methods. It also provides an excellent summary of worst case analysis in information based complexity. It relates optimal computational methods with the theory of s-numbers and n-widths. It can serve as a text for senior-graduate courses in computer science and applied mathematics, and also as a reference for professionals. Selected topics in approximation and computation [texte imprimé] / Marek A. Kowalski, Auteur . - [S.l.] : Oxford University Press, [s.d.].
ISBN : 978-0-19-508059-9
Langues : Anglais (eng)
Catégories : Mathématiques
Mathématiques:Principes généraux des mathématiquesIndex. décimale : 511 Principes généraux des mathématiques Résumé : Selected Topics in Approximation and Computation addresses the relationship between modern approximation theory and computational methods. The text is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including Sinc methods, elliptic function methods, and positive operator approximation methods. It also provides an excellent summary of worst case analysis in information based complexity. It relates optimal computational methods with the theory of s-numbers and n-widths. It can serve as a text for senior-graduate courses in computer science and applied mathematics, and also as a reference for professionals. Exemplaires (2)
Code-barres Cote Support Localisation Section Disponibilité 9780195080599MIT001 511/063 Livre Maths&Informatique Fonds mathématiques Disponible 9780195080599MIT002 511/063 Livre Maths&Informatique Fonds mathématiques Disponible
Titre : Symmetry in Chaos : A search for pattern in mathematics art and nature Type de document : texte imprimé Auteurs : Michael Field, Auteur ; Martin Golubitsky, Auteur Editeur : Oxford University Press ISBN/ISSN/EAN : 978-0-19-853688-8 Langues : Anglais (eng) Catégories : Informatique
Informatique:SystèmesIndex. décimale : 003 Les Systèmes Résumé : Chaotic dynamics (known popularly as chaos theory or, more simply, chaos) is among the most fascinating new fields in modern science, revolutionizing our understanding of order and pattern in nature. Symmetry, a traditional and highly developed area of mathematics, would seem to lie at the opposite end of the spectrum. From the branching of trees to the rose windows of great cathedrals, symmetric patterns seem the antithesis of such chaotic systems as weather patterns. And yet, scientists are now finding connections between these two areas, connections which could have profound consequences for our understanding of the physical world. In Symmetry in Chaos, mathematicians Michael Field and Martin Golubitsky offer an engaging look at where these two fields meet. In the process, they have generated mathematically a series of stunning computer images linking symmetry and chaos. Symmetry in Chaos : A search for pattern in mathematics art and nature [texte imprimé] / Michael Field, Auteur ; Martin Golubitsky, Auteur . - [S.l.] : Oxford University Press, [s.d.].
ISBN : 978-0-19-853688-8
Langues : Anglais (eng)
Catégories : Informatique
Informatique:SystèmesIndex. décimale : 003 Les Systèmes Résumé : Chaotic dynamics (known popularly as chaos theory or, more simply, chaos) is among the most fascinating new fields in modern science, revolutionizing our understanding of order and pattern in nature. Symmetry, a traditional and highly developed area of mathematics, would seem to lie at the opposite end of the spectrum. From the branching of trees to the rose windows of great cathedrals, symmetric patterns seem the antithesis of such chaotic systems as weather patterns. And yet, scientists are now finding connections between these two areas, connections which could have profound consequences for our understanding of the physical world. In Symmetry in Chaos, mathematicians Michael Field and Martin Golubitsky offer an engaging look at where these two fields meet. In the process, they have generated mathematically a series of stunning computer images linking symmetry and chaos. Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité 9780198536888MIT001 003/042 Livre Maths&Informatique Fonds informatique Disponible
Titre : Tensors & Manifollds : With Applications to Mechanics and Relativity Type de document : texte imprimé Auteurs : Robert H Wasserman, Auteur Editeur : Oxford University Press ISBN/ISSN/EAN : 978-0-19-506561-9 Langues : Anglais (eng) Catégories : Informatique
Informatique:Divers
Informatique:Divers:PhysiqueIndex. décimale : 530 Physique Résumé : This book introduces the concepts of tensor algebras and differentiable manifolds to the intermediate-level student. It describes analytical and geometrical structures built on these basic concepts. Those structures -- which include differential forms and their integration, flows, Lie derivatives, distributions and their integrability conditions, connections, and pseudo-Riemannian and symplectic manifolds -- are then applied to the description of the fundamental ideas and Hamiltonian and Lagrangian mechanics, and special and general relativity. This book is designed to be accessible to the mathematics or physics student with a good standard undergraduate background, who is interested in obtaining a broader perspective of the rich interplay of mathematics and physics before deciding on a specialty. Tensors & Manifollds : With Applications to Mechanics and Relativity [texte imprimé] / Robert H Wasserman, Auteur . - [S.l.] : Oxford University Press, [s.d.].
ISBN : 978-0-19-506561-9
Langues : Anglais (eng)
Catégories : Informatique
Informatique:Divers
Informatique:Divers:PhysiqueIndex. décimale : 530 Physique Résumé : This book introduces the concepts of tensor algebras and differentiable manifolds to the intermediate-level student. It describes analytical and geometrical structures built on these basic concepts. Those structures -- which include differential forms and their integration, flows, Lie derivatives, distributions and their integrability conditions, connections, and pseudo-Riemannian and symplectic manifolds -- are then applied to the description of the fundamental ideas and Hamiltonian and Lagrangian mechanics, and special and general relativity. This book is designed to be accessible to the mathematics or physics student with a good standard undergraduate background, who is interested in obtaining a broader perspective of the rich interplay of mathematics and physics before deciding on a specialty. Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité 9780195065619MIT001 530/012 Livre Maths&Informatique Fonds informatique Disponible