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Ordinary Differential Equations and Dynamical Systems: 2 (Atlantis Studies in Differential Equations, 2) - Hardcover
Synopsis
This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basic theory: linear systems, existence and uniqueness of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigm for evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and the existence of transverse homoclinic points and their link to chaotic dynamics. A common thread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as the bridge between the two halves of the book.
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Review
From the book reviews:
“This is a very nice text for a beginners course on ordinary differential equations and dynamical systems. ... All basic results about ordinary differential equations are present. ... Each chapter contains examples and exercises ... . this book will certainly be an excellent reference text.” (Santiago Ibáñez, Mathematical Reviews, December, 2014)
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Ordinary Differential Equations and Dynamical Systems (Atlantis Studies in Differential Equations, 2)
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Sideris:Ordinary Differential Equations (eng)
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Ordinary Differential Equations and Dynamical Systems
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basic theory: linear systems, existence and uniqueness of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigm for evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and the existence of transverse homoclinic points and their link to chaotic dynamics. A common thread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as the bridge between the two halves of the book. 240 pp. Englisch. Seller Inventory # 9789462390201
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Ordinary Differential Equations and Dynamical Systems
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Proofs are presented with complete mathematical detailsExtensive use of the implicit function theorem as a unifying approach to perturbative analysisExercises are included at the end of each chapter permit use as a textbookThis . Seller Inventory # 5839549
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Ordinary Differential Equations and Dynamical Systems
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Buch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basic theory: linear systems, existence and uniqueness of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigm for evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and the existence of transverse homoclinic points and their link to chaotic dynamics. A common thread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as the bridge between the two halves of the book. Seller Inventory # 9789462390201
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Ordinary Differential Equations and Dynamical Systems
Print on DemandSeller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basic theory: linear systems, existence and uniqueness of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigm for evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and the existence of transverse homoclinic points and their link to chaotic dynamics. A common thread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as the bridge between the two halves of the book.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 240 pp. Englisch. Seller Inventory # 9789462390201
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ORDINARY DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS (HB 2014)
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Condition: New. Brand New ! Fast Delivery This is an International Edition and ship within 24-48 hours. Deliver by FedEx and Dhl, & Aramex, UPS, & USPS and we do accept APO and PO BOX Addresses. Order can be delivered worldwide within 6-10 days and we do have flat rate for up to 2LB. Extra shipping charges will be requested if the Book weight is more than 5 LB. This Item May be shipped from India, United states & United Kingdom. Depending on your location and availability. Seller Inventory # Cvs 9789462390201
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Ordinary Differential Equations and Dynamical Systems
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Hardcover. Condition: Brand New. 2014 edition. 225 pages. 9.25x6.25x0.75 inches. In Stock. Seller Inventory # zk9462390207
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Ordinary Differential Equations and Dynamical Systems (Atlantis Studies in Differential Equations)
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