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Differential equations : theory,technique and practice with boundary value problems / by Steven G. Krantz.

By: Krantz, Steven G. (Steven George), 1951- [eauthor.].
Contributor(s): Taylor and Francis.
Material type: materialTypeLabelBookSeries: Textbooks in mathematics (Boca Raton, Fla.): Publisher: Boca Raton, FL : Chapman and Hall/CRC, an imprint of Taylor and Francis, 2015Edition: First edition.Description: 1 online resource (480 pages) : 102 illustrations.Content type: text Media type: computer Carrier type: online resourceISBN: 9780429091667.Subject(s): MATHEMATICS / Applied | Boundary value problems -- Textbooks | Boundary value problems | Differential equations -- Textbooks | Differential equations | Differentialgleichung | Lineare Differentialgleichung | Partielle Differentialgleichung | RandwertproblemAdditional physical formats: Print version: : No titleDDC classification: 515/.35 Online resources: Click here to view.
Contents:
chapter 1 What Is a Differential Equation? -- chapter 2 Second-Order Linear Equations -- chapter 3 Power Series Solutions and Special Functions -- chapter 4 Numerical Methods -- chapter 5 Fourier Series: Basic Concepts -- chapter 6 Sturm-Liouville Problems and Boundary Value Problems -- chapter 7 Partial Differential Equations and Boundary Value Problems -- chapter 8 Laplace Transforms -- chapter 9 Systems of First-Order Equations -- chapter 10 The Nonlinear Theory.
Abstract: Differential Equations: Theory, Technique, and Practice with Boundary Value Problems presents classical ideas and cutting-edge techniques for a contemporary, undergraduate-level, one- or two-semester course on ordinary differential equations. Authored by a widely respected researcher and teacher, the text covers standard topics such as partial differential equations (PDEs), boundary value problems, numerical methods, and dynamical systems. Lively historical notes and mathematical nuggets of information enrich the reading experience by offering perspective on the lives of significant contributors to the discipline. "Anatomy of an Application" sections highlight applications from engineering, physics, and applied science. Problems for review and discovery provide students with open-ended material for further exploration and learning.
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chapter 1 What Is a Differential Equation? -- chapter 2 Second-Order Linear Equations -- chapter 3 Power Series Solutions and Special Functions -- chapter 4 Numerical Methods -- chapter 5 Fourier Series: Basic Concepts -- chapter 6 Sturm-Liouville Problems and Boundary Value Problems -- chapter 7 Partial Differential Equations and Boundary Value Problems -- chapter 8 Laplace Transforms -- chapter 9 Systems of First-Order Equations -- chapter 10 The Nonlinear Theory.

Differential Equations: Theory, Technique, and Practice with Boundary Value Problems presents classical ideas and cutting-edge techniques for a contemporary, undergraduate-level, one- or two-semester course on ordinary differential equations. Authored by a widely respected researcher and teacher, the text covers standard topics such as partial differential equations (PDEs), boundary value problems, numerical methods, and dynamical systems. Lively historical notes and mathematical nuggets of information enrich the reading experience by offering perspective on the lives of significant contributors to the discipline. "Anatomy of an Application" sections highlight applications from engineering, physics, and applied science. Problems for review and discovery provide students with open-ended material for further exploration and learning.

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