Computational partial differential equations using Matlab / Jichun Li

Public ISBD Titre : Computational partial differential equations using Matlab Type de document : texte imprimé Auteurs : Jichun Li, Auteur ; Yi-Tung Chen, Auteur Mention d'édition : Second edition Editeur : Boca Raton [USA] : CRC press Année de publication : 2020 Collection : Textbooks in mathematics Importance : 408 p. Format : 25 cm ISBN/ISSN/EAN : 978-1-03-247519-6 Langues : Anglais (eng) Catégories : Livres Tags : MATLAB  Équations aux dérivées partielles  Solutions numériques Index. décimale : 518 Analyse numérique Résumé : In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques including the classic finite difference method, finite element method, and state-of-the-art numercial methods.The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB. This new edition includes a new chapter, Finite Value Method, the presentation has been tightened, new exercises and applications are included, and the text refers now to the latest release of MATLAB. Key Selling Points:- A successful textbook for an undergraduate text on numerical analysis or methods taught in mathematics and computer engineering.- This course is taught in every university throughout the world with an engineering department or school.Competitive advantage broader numerical methods (including finite difference, finite element, meshless method, and finite volume method), provides the MATLAB source code for most popular PDEs with detailed explanation about the implementation and theoretical analysis. No other existing textbook in the market offers a good combination of theoretical depth and practical source codes. Computational partial differential equations using Matlab [texte imprimé] / Jichun Li, Auteur ; Yi-Tung Chen, Auteur  . -  Second edition . - Boca Raton (USA) : CRC press, 2020 . - 408 p. ; 25 cm. - (Textbooks in mathematics) . ISBN : 978-1-03-247519-6 Langues : Anglais (eng) Catégories : Livres Tags : MATLAB  Équations aux dérivées partielles  Solutions numériques Index. décimale : 518 Analyse numérique Résumé : In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques including the classic finite difference method, finite element method, and state-of-the-art numercial methods.The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB. This new edition includes a new chapter, Finite Value Method, the presentation has been tightened, new exercises and applications are included, and the text refers now to the latest release of MATLAB. Key Selling Points:- A successful textbook for an undergraduate text on numerical analysis or methods taught in mathematics and computer engineering.- This course is taught in every university throughout the world with an engineering department or school.Competitive advantage broader numerical methods (including finite difference, finite element, meshless method, and finite volume method), provides the MATLAB source code for most popular PDEs with detailed explanation about the implementation and theoretical analysis. No other existing textbook in the market offers a good combination of theoretical depth and practical source codes.

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Elementary differential equations / Charles Roberts, JR.

Public ISBD Titre : Elementary differential equations Type de document : texte imprimé Auteurs : Charles Roberts, JR., Auteur Mention d'édition : Second edition Editeur : Boca Raton [USA] : CRC press Année de publication : 2022 Collection : Textbooks in mathematics Importance : 536 p. Format : 23 cm ISBN/ISSN/EAN : 978-1-03-247584-4 Langues : Anglais (eng) Catégories : Livres Tags : differential equations Index. décimale : 515.35 Équations différentielles Résumé : Elementary Differential Equations, Second Edition is written with the knowledge that there has been a dramatic change in the past century in how solutions to differential equations are calculated. However, the way the topic has been taught in introductory courses has barely changed to reflect these advances, which leaves students at a disadvantage. This second edition has been created to address these changes and help instructors facilitate new teaching methods and the latest tools, which includes computers. The text is designed to help instructors who want to use computers in their classrooms. It accomplishes this by emphasizing and integrating computers in teaching elementary or ordinary differential equations. Many examples and exercises included in the text require the use of computer software to solve problems. It should be noted that since instructors use their own preferred software, this book has been written to be independent of any specific software package. Elementary differential equations [texte imprimé] / Charles Roberts, JR., Auteur  . -  Second edition . - Boca Raton (USA) : CRC press, 2022 . - 536 p. ; 23 cm. - (Textbooks in mathematics) . ISBN : 978-1-03-247584-4 Langues : Anglais (eng) Catégories : Livres Tags : differential equations Index. décimale : 515.35 Équations différentielles Résumé : Elementary Differential Equations, Second Edition is written with the knowledge that there has been a dramatic change in the past century in how solutions to differential equations are calculated. However, the way the topic has been taught in introductory courses has barely changed to reflect these advances, which leaves students at a disadvantage. This second edition has been created to address these changes and help instructors facilitate new teaching methods and the latest tools, which includes computers. The text is designed to help instructors who want to use computers in their classrooms. It accomplishes this by emphasizing and integrating computers in teaching elementary or ordinary differential equations. Many examples and exercises included in the text require the use of computer software to solve problems. It should be noted that since instructors use their own preferred software, this book has been written to be independent of any specific software package.

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Fundamentals of Linear Algebra / J. S Chahal

Public ISBD Titre : Fundamentals of Linear Algebra Type de document : texte imprimé Auteurs : J. S Chahal, Auteur Editeur : Boca Raton [USA] : CRC press Année de publication : 2022 Collection : Textbooks in mathematics Importance : 228 p. Format : 23 cm ISBN/ISSN/EAN : 978-1-03-247581-3 Langues : Anglais (eng) Catégories : Livres Tags : linear algebra Index. décimale : 512.5 Algèbre linéaire Résumé : Fundamentals of Linear Algebra is like no other book on the subject. By following a natural and unified approach to the subject it has, in less than 250 pages, achieved a more complete coverage of the subject than books with more than twice as many pages. For example, the textbooks in use in the United States prove the existence of a basis only for finite dimensional vector spaces. This book proves it for any given vector space. With his experience in algebraic geometry and commutative algebra, the author defines the dimension of a vector space as its Krull dimension. By doing so, most of the facts about bases when the dimension is finite, are trivial consequences of this definition. To name one, the replacement theorem is no longer needed. It becomes obvious that any two bases of a finite dimensional vector space contain the same number of vectors. Moreover, this definition of the dimension works equally well when the geometric objects are nonlinear. Features: Presents theories and applications in an attempt to raise expectations and outcomes The subject of linear algebra is presented over arbitrary fields Includes many non-trivial examples which address real-world problems Fundamentals of Linear Algebra [texte imprimé] / J. S Chahal, Auteur . - Boca Raton (USA) : CRC press, 2022 . - 228 p. ; 23 cm. - (Textbooks in mathematics) . ISBN : 978-1-03-247581-3 Langues : Anglais (eng) Catégories : Livres Tags : linear algebra Index. décimale : 512.5 Algèbre linéaire Résumé : Fundamentals of Linear Algebra is like no other book on the subject. By following a natural and unified approach to the subject it has, in less than 250 pages, achieved a more complete coverage of the subject than books with more than twice as many pages. For example, the textbooks in use in the United States prove the existence of a basis only for finite dimensional vector spaces. This book proves it for any given vector space. With his experience in algebraic geometry and commutative algebra, the author defines the dimension of a vector space as its Krull dimension. By doing so, most of the facts about bases when the dimension is finite, are trivial consequences of this definition. To name one, the replacement theorem is no longer needed. It becomes obvious that any two bases of a finite dimensional vector space contain the same number of vectors. Moreover, this definition of the dimension works equally well when the geometric objects are nonlinear. Features: Presents theories and applications in an attempt to raise expectations and outcomes The subject of linear algebra is presented over arbitrary fields Includes many non-trivial examples which address real-world problems

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