Documents disponibles dans la collection

103 trigonometry problems / Andreescu, Titu

Public ISBD Titre : 103 trigonometry problems : from the training of the USA IMO team Type de document : document électronique Auteurs : Andreescu, Titu, Auteur ; Feng, Zuming, Auteur Editeur : Berlin : Springer Année de publication : 2005 Collection : Mathematics and Statistics ISBN/ISSN/EAN : 978-0-8176-4432-1 Langues : Anglais (eng) Mots-clés : Trigonometric  -Glossary Résumé : 103 Trigonometry Problems contains highly-selected problems and solutions used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Though many problems may initially appear impenetrable to the novice, most can be solved using only elementary high school mathematics techniques. Key features: * Gradual progression in problem difficulty builds and strengthens mathematical skills and techniques * Basic topics include trigonometric formulas and identities, their applications in the geometry of the triangle, trigonometric equations and inequalities, and substitutions involving trigonometric functions * Problem-solving tactics and strategies, along with practical test-taking techniques, provide in-depth enrichment and preparation for possible participation in various mathematical competitions * Comprehensive introduction (first chapter) to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry expose advanced students to college level material 103 Trigonometry Problems is a cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training. Other document by the authors include 102 Combinatorial Problems: From the Training of the USA IMO Team (0-8176-4317-6, 2003) and A Path to Combinatorics for Undergraduates: Counting Strategies (0-8176-4288-9, 2004). Note de contenu : * Preface * Abbreviations and Notations * Trigonometric Problems * Introductory Problems * Advanced Problems * Solutions to Introductory Problems * Solutions to Advanced Problems * Glossary * Further Reading 103 trigonometry problems : from the training of the USA IMO team [document électronique] / Andreescu, Titu, Auteur ; Feng, Zuming, Auteur . - Springer, 2005. - (Mathematics and Statistics) . ISBN : 978-0-8176-4432-1 Langues : Anglais (eng) Mots-clés : Trigonometric  -Glossary Résumé : 103 Trigonometry Problems contains highly-selected problems and solutions used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Though many problems may initially appear impenetrable to the novice, most can be solved using only elementary high school mathematics techniques. Key features: * Gradual progression in problem difficulty builds and strengthens mathematical skills and techniques * Basic topics include trigonometric formulas and identities, their applications in the geometry of the triangle, trigonometric equations and inequalities, and substitutions involving trigonometric functions * Problem-solving tactics and strategies, along with practical test-taking techniques, provide in-depth enrichment and preparation for possible participation in various mathematical competitions * Comprehensive introduction (first chapter) to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry expose advanced students to college level material 103 Trigonometry Problems is a cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training. Other document by the authors include 102 Combinatorial Problems: From the Training of the USA IMO Team (0-8176-4317-6, 2003) and A Path to Combinatorics for Undergraduates: Counting Strategies (0-8176-4288-9, 2004). Note de contenu : * Preface * Abbreviations and Notations * Trigonometric Problems * Introductory Problems * Advanced Problems * Solutions to Introductory Problems * Solutions to Advanced Problems * Glossary * Further Reading

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
E00249	514.116 AND	Ressources électroniques	Bibliothèque Centrale	Mathématiques	Disponible
E00250	514.116 AND	Ressources électroniques	Bibliothèque Centrale	Mathématiques	Disponible

Numerical techniques for chemical and biological engineers Using MATLAB® / Elnashaie, Said S. E. H.

Public ISBD Titre : Numerical techniques for chemical and biological engineers Using MATLAB® : A simple bifurcation approach Type de document : document électronique Auteurs : Elnashaie, Said S. E. H., Auteur ; Uhlig, Frank, Auteur Editeur : Berlin : Springer Année de publication : 2007 Collection : Mathematics and Statistics ISBN/ISSN/EAN : 978-0-387-68167-2 Langues : Anglais (eng) Mots-clés : Biochemical  engineering Chemical  engineering Computer  science Computer  science  --  Mathematics Mathematics Biochemical  Engineering Computational  Mathematics  and  Numerical  Analysis Computational  Science  and  Engineering Industrial  Chemistry/Chemical  Engineering Index. décimale : 681.3.06 Logiciels. Software Résumé : This interdisciplinary Document presents numerical techniques needed for chemical and biological engineers using Matlab. The document begins by exploring general cases, and moves on to specific ones. The text includes a large number of detailed illustrations, exercises and industrial examples. The document provides detailed mathematics and engineering background in the appendixes, including an introduction to Matlab and a guide to the user friendly CD included in this document. The text will be useful to undergraduate students in chemical/biological engineering, and in applied mathematics and numerical analysis. Note de contenu : Introduction.- Computations and MATLAB.- Modeling, Simulation and Design.- Some Models with Scalar Equations.- Initial Value Problems.- Boundary Value Problems.- Heterogeneous and Multistage Systems.- Industrial Problems.- Appendix 1: Linear Algebra and Matrices.- Appendix 2: Bifurcation, Instability and Chaos in Chemical and Biological Systems.- Appendix 3: Contents of the CD and How to Use it.- Resources.- Epilogue.- Index.- List of Photographs. Numerical techniques for chemical and biological engineers Using MATLAB® : A simple bifurcation approach [document électronique] / Elnashaie, Said S. E. H., Auteur ; Uhlig, Frank, Auteur . - Springer, 2007. - (Mathematics and Statistics) . ISBN : 978-0-387-68167-2 Langues : Anglais (eng) Mots-clés : Biochemical  engineering Chemical  engineering Computer  science Computer  science  --  Mathematics Mathematics Biochemical  Engineering Computational  Mathematics  and  Numerical  Analysis Computational  Science  and  Engineering Industrial  Chemistry/Chemical  Engineering Index. décimale : 681.3.06 Logiciels. Software Résumé : This interdisciplinary Document presents numerical techniques needed for chemical and biological engineers using Matlab. The document begins by exploring general cases, and moves on to specific ones. The text includes a large number of detailed illustrations, exercises and industrial examples. The document provides detailed mathematics and engineering background in the appendixes, including an introduction to Matlab and a guide to the user friendly CD included in this document. The text will be useful to undergraduate students in chemical/biological engineering, and in applied mathematics and numerical analysis. Note de contenu : Introduction.- Computations and MATLAB.- Modeling, Simulation and Design.- Some Models with Scalar Equations.- Initial Value Problems.- Boundary Value Problems.- Heterogeneous and Multistage Systems.- Industrial Problems.- Appendix 1: Linear Algebra and Matrices.- Appendix 2: Bifurcation, Instability and Chaos in Chemical and Biological Systems.- Appendix 3: Contents of the CD and How to Use it.- Resources.- Epilogue.- Index.- List of Photographs.

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
E00234	681.3.06 ELN	Ressources électroniques	Bibliothèque Centrale	Informatique	Disponible
E00233	681.3.06 ELN	Ressources électroniques	Bibliothèque Centrale	Informatique	Disponible

Linear partial differential equations for scientists and engineers / Myint-U, Tyn

Public ISBD Titre : Linear partial differential equations for scientists and engineers Type de document : document électronique Auteurs : Myint-U, Tyn, Auteur ; Debnath, Lokenath, Auteur Editeur : Berlin : Springer Année de publication : 2007 Collection : Mathematics and Statistics ISBN/ISSN/EAN : 978-0-8176-4560-1 Langues : Anglais (eng) Mots-clés : conservation  laws  -  cylindrical  wave  equation  -  finite  element  method  -  fractional  partial  differential  equations  -  higher-dimensional  boundary-value  problems  -  partial  differential  equations  -  spherical  wave  equation Index. décimale : 519.63 Méthodes numériques pour la résolution d'équations aux dérivées partielles Résumé : One of the most fundamental and active areas in mathematics, the theory of partial differential equations (PDEs) is essential in the modeling of natural phenomena. PDEs have a wide range of interesting and important applications in every branch of applied mathematics, physics, and engineering, including fluid dynamics, elasticity, and optics. This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the document contains new material that is not usually covered in similar texts and reference books, including conservation laws, the spherical wave equation, the cylindrical wave equation, higher-dimensional boundary-value problems, the finite element method, fractional partial differential equations, and nonlinear partial differential equations with applications. Key features include: * Applications to a wide variety of physical problems in numerous interdisciplinary areas * Over 900 worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry * Historical comments on partial differential equations * Solutions and hints to selected exercises * A comprehensive bibliography—comprised of many standard texts and reference books, as well as a set of selected classic and recent papers—for readers interested in learning more about the modern treatment of the subject Linear Partial Differential Equations for Scientists and Engineers, Fourth Edition will primarily serve as a textbook for the first two courses in PDEs, or in a course on advanced engineering mathematics. The book may also be used as a reference for graduate students, researchers, and professionals in modern applied mathematics, mathematical physics, and engineering. Readers will gain a solid mathematical background in PDEs, sufficient to start interdisciplinary collaborative research in a variety of fields. Note de contenu : Preface to the Fourth Edition Preface to the Third Edition Introduction First-Order, Quasi-Linear Equations and Method of Characteristics Mathematical Models Classification of Second-Order Linear Equations The Cauchy Problem and Wave Equations Fourier Series and Integrals with Applications Method of Separation of Variables Eigenvalue Problems and Special Functions Boundary-Value Problems and Applications Higher-Dimensional Boundary-Value Problems Green's Functions and Boundary-Value Problems Integral Transform Methods with Applications Nonlinear Partial Differential Equations with Applications Numerical and Approximation Methods Tables of Integral Transforms Answers and Hints to Selected Exercises Appendix: Some Special Functions and Their Properties Bibliography Index Linear partial differential equations for scientists and engineers [document électronique] / Myint-U, Tyn, Auteur ; Debnath, Lokenath, Auteur . - Springer, 2007. - (Mathematics and Statistics) . ISBN : 978-0-8176-4560-1 Langues : Anglais (eng) Mots-clés : conservation  laws  -  cylindrical  wave  equation  -  finite  element  method  -  fractional  partial  differential  equations  -  higher-dimensional  boundary-value  problems  -  partial  differential  equations  -  spherical  wave  equation Index. décimale : 519.63 Méthodes numériques pour la résolution d'équations aux dérivées partielles Résumé : One of the most fundamental and active areas in mathematics, the theory of partial differential equations (PDEs) is essential in the modeling of natural phenomena. PDEs have a wide range of interesting and important applications in every branch of applied mathematics, physics, and engineering, including fluid dynamics, elasticity, and optics. This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the document contains new material that is not usually covered in similar texts and reference books, including conservation laws, the spherical wave equation, the cylindrical wave equation, higher-dimensional boundary-value problems, the finite element method, fractional partial differential equations, and nonlinear partial differential equations with applications. Key features include: * Applications to a wide variety of physical problems in numerous interdisciplinary areas * Over 900 worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry * Historical comments on partial differential equations * Solutions and hints to selected exercises * A comprehensive bibliography—comprised of many standard texts and reference books, as well as a set of selected classic and recent papers—for readers interested in learning more about the modern treatment of the subject Linear Partial Differential Equations for Scientists and Engineers, Fourth Edition will primarily serve as a textbook for the first two courses in PDEs, or in a course on advanced engineering mathematics. The book may also be used as a reference for graduate students, researchers, and professionals in modern applied mathematics, mathematical physics, and engineering. Readers will gain a solid mathematical background in PDEs, sufficient to start interdisciplinary collaborative research in a variety of fields. Note de contenu : Preface to the Fourth Edition Preface to the Third Edition Introduction First-Order, Quasi-Linear Equations and Method of Characteristics Mathematical Models Classification of Second-Order Linear Equations The Cauchy Problem and Wave Equations Fourier Series and Integrals with Applications Method of Separation of Variables Eigenvalue Problems and Special Functions Boundary-Value Problems and Applications Higher-Dimensional Boundary-Value Problems Green's Functions and Boundary-Value Problems Integral Transform Methods with Applications Nonlinear Partial Differential Equations with Applications Numerical and Approximation Methods Tables of Integral Transforms Answers and Hints to Selected Exercises Appendix: Some Special Functions and Their Properties Bibliography Index

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
E00246	519.63 MYI	Ressources électroniques	Bibliothèque Centrale	Mathématiques	Disponible
E00245	519.63 MYI	Ressources électroniques	Bibliothèque Centrale	Mathématiques	Disponible