A first course in differential equations, modeling, and simulation. (©2011)
- Record Type:
- Book
- Title:
- A first course in differential equations, modeling, and simulation. (©2011)
- Main Title:
- A first course in differential equations, modeling, and simulation
- Further Information:
- Note: Carlos A. Smith, Scott W. Campbell.
- Other Names:
- Smith, Carlos A, 1943-
Campbell, Scott W - Contents:
- Introduction; An Introductory Example; Modeling; Differential Equations; Forcing Functions; Book Objectives Objects in a Gravitational Field; An Example; Antidifferentiation: Technique for Solving First-Order Ordinary Differential Equations; Back to Section 2-1; Another Example; Separation of Variables: Technique for Solving First-Order Ordinary Differential Equations; Back to Section 2-5; Equations, Unknowns, and Degrees of Freedom Classical Solutions of Ordinary Linear Differential Equations; Examples of Differential Equations; Definition of a Linear Differential Equation; Integrating Factor Method; Characteristic Equation; Undetermined Coefficients; Response of First- and Second-Order Systems; Application of the Mathematics to Design Laplace Transforms; Definition of the Laplace Transform; Properties and Theorems of the Laplace Transform; Solution of Differential Equations Using Laplace Transform; Transfer Functions; Algebraic Manipulations Using Laplace Transforms; Deviation Variables; First- and Second-Order Systems Mechanical Systems: Translational; Mechanical Law and Experimental Facts; Types of Systems; D’Alembert’s Principle and Free Body Diagrams; Additional Examples; Vertical Systems Mechanical Systems: Rotational; Mechanical Law, Moment of Inertia, and Torque; Torsion Springs; Rotational Dampening; Gears; Systems with Rotational and Translational Elements Mass Balances; Conservation of Mass; Flow Rates and Concentrations; Flow Element and Experimental Facts;Introduction; An Introductory Example; Modeling; Differential Equations; Forcing Functions; Book Objectives Objects in a Gravitational Field; An Example; Antidifferentiation: Technique for Solving First-Order Ordinary Differential Equations; Back to Section 2-1; Another Example; Separation of Variables: Technique for Solving First-Order Ordinary Differential Equations; Back to Section 2-5; Equations, Unknowns, and Degrees of Freedom Classical Solutions of Ordinary Linear Differential Equations; Examples of Differential Equations; Definition of a Linear Differential Equation; Integrating Factor Method; Characteristic Equation; Undetermined Coefficients; Response of First- and Second-Order Systems; Application of the Mathematics to Design Laplace Transforms; Definition of the Laplace Transform; Properties and Theorems of the Laplace Transform; Solution of Differential Equations Using Laplace Transform; Transfer Functions; Algebraic Manipulations Using Laplace Transforms; Deviation Variables; First- and Second-Order Systems Mechanical Systems: Translational; Mechanical Law and Experimental Facts; Types of Systems; D’Alembert’s Principle and Free Body Diagrams; Additional Examples; Vertical Systems Mechanical Systems: Rotational; Mechanical Law, Moment of Inertia, and Torque; Torsion Springs; Rotational Dampening; Gears; Systems with Rotational and Translational Elements Mass Balances; Conservation of Mass; Flow Rates and Concentrations; Flow Element and Experimental Facts; Examples of Mass Balances Thermal Systems; Conservation of Energy; Modes of Heat Transfer; Conduction; Convection; Conduction and Convection in Series; Accumulated or Stored Energy; Some Examples; Heat Transfer in a Flow System Electrical Systems; Some Definitions and Conventions; Electrical Laws and Electrical Components; Examples of Electrical Circuits; Additional Examples; RC Circuits as Filters Numerical Simulation; Numerical Solution of Differential Equations; Euler’s Method for First Order Ordinary Differential Equations; Euler’s Method for Second Order Ordinary Differential Equations; Step Size; More Sophisticated Methods; Representation of Differential Equations by Block Diagrams; Additional Examples Index A Summary and Problems appear at the end of each chapter. … (more)
- Publisher Details:
- Boca Raton, FL : CRC Press
- Publication Date:
- 2011
- Copyright Date:
- 2011
- Extent:
- 1 online resource (xiii, 331 pages), illustrations
- Subjects:
- 515.35
Differential equations
Experimental design
Differential equations
Experimental design
Electronic books - Languages:
- English
- ISBNs:
- 9781439850886
1439850887 - Notes:
- Note: Includes bibliographical references and index.
- Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
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- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.145178
- Ingest File:
- 01_113.xml