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- catalog abstract "This book provides a comprehensive treatment of symmetry methods and dimensional analysis. The authors discuss aspects of Lie groups of point transformations, contact symmetries, and higher order symmetries that are essential for solving differential equations. Emphasis is given to an algorithmic, computational approach to finding integrating factors and first integrals. Numerous examples including ordinary differential equations arising in applied mathematics are used for illustration and exercise sets are included throughout the text. This book is designed for advanced undergraduate or beginning graduate students of mathematics and physics, as well as researchers in mathematics, physics, and engineering.".
- catalog contributor b12633774.
- catalog contributor b12633775.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description "Includes bibliographical references (p. 391-400) and indexes.".
- catalog description "Preface -- Introduction -- Dimensional Analysis, Modelling, and Invariance -- Lie Groups of Transformations and Infinitesimal Transformations -- Ordinary Differential Equations -- Partial Differential Equations -- Noether's Theorem and Lie-B cklund Symmetries -- Construction of Mappings Relating Differential Equations -- Potential Symmetries -- References -- Author Index -- Subject Index.".
- catalog description "This book provides a comprehensive treatment of symmetry methods and dimensional analysis. The authors discuss aspects of Lie groups of point transformations, contact symmetries, and higher order symmetries that are essential for solving differential equations. Emphasis is given to an algorithmic, computational approach to finding integrating factors and first integrals. Numerous examples including ordinary differential equations arising in applied mathematics are used for illustration and exercise sets are included throughout the text. This book is designed for advanced undergraduate or beginning graduate students of mathematics and physics, as well as researchers in mathematics, physics, and engineering.".
- catalog extent "x, 419 p. :".
- catalog identifier "0387986545 (alk. paper)".
- catalog isPartOf "Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 154.".
- catalog isPartOf "Applied mathematical sciences ; v. 154".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "510 s 515/.35 21".
- catalog subject "Differential equations Numerical solutions.".
- catalog subject "Differential equations, Partial Numerical solutions.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Lie groups.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "QA1 .A647 vol. 154 2002 QA372".
- catalog tableOfContents "Preface -- Introduction -- Dimensional Analysis, Modelling, and Invariance -- Lie Groups of Transformations and Infinitesimal Transformations -- Ordinary Differential Equations -- Partial Differential Equations -- Noether's Theorem and Lie-B cklund Symmetries -- Construction of Mappings Relating Differential Equations -- Potential Symmetries -- References -- Author Index -- Subject Index.".
- catalog title "Symmetry and integration methods for differential equations / George W. Bluman, Stephen C. Anco.".
- catalog type "text".