Schaum Series Mathematics Books Pdf

• Author | Richard Bronson, Gabriel B. Costa
• Pages | 404
• Size | 14.11 MB
• Format | PDF
• Category | Algebra

Schaum's Outlines of Differential Equations 4th Edition

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PDF Free Download | Schaum's Outline of Differential Equations Fourth Edition – 623 Fully Solved Problems and 20 Problem Solving Videos Online – by Richard Bronson, Gabriel B. Costa

Contents of Differential Equations Book

• Chapter 1. Basic Concepts
• Differential Equations
• Notation
• Solutions
• Initial-Value and Boundary-Value Problems
• Chapter 2. An Introduction to Modeling and Qualitative Methods
• Mathematical Models
• The "Modeling Cycle"
• Qualitative Methods
• Chapter 3. Classifications of First-Order
• Differential Equations
• Standard Form and Differential Form
• Linear Equations
• Bernoulli Equations
• Homogeneous Equations
• Separable Equations
• Exact Equations
• Chapter 4. Separable First-Order Differential Equations
• General Solution
• Solutions to the Initial-Value Problem
• Reduction of Homogeneous Equations
• Chapter 5. Exact First-Order Differential Equations
• Defining Properties
• Method of Solution
• Integrating Factors
• Chapter 6. Linear First-Order Differential Equations
• Method of Solution
• Reduction of Bernoulli Equations
• Chapter 7. Applications of First-Order Differential Equations
• Growth and Decay Problems
• Temperature Problems
• Falling Body Problems
• Dilution Problems
• Electrical Circuits
• Orthogonal Trajectories
• Chapter 8. Linear Differential Equations: Theory of Solutions
• Linear Differential Equations
• Linearly Independent Solutions
• The Wronskian
• Nonhomogeneous Equations
• Chapter 9. Second-Order Linear Homogeneous Differential Equations with Constant Coefficients
• Introductory Remark
• The Characteristic Equation
• The General Solution
• Chapter 10. nth-Order Linear Homogeneous Differential Equations with Constant Coefficients
• The Characteristic Equation
• The General Solution
• Chapter 11. The Method of Undetermined Coefficients
• Simple Form of the Method
• Generalizations
• Modifications
• Limitations of the Method
• Chapter 12. Variation of Parameters
• The Method
• Scope of the Method
• Chapter 13. Initial-Value Problems for Linear Differential Equations
• Chapter 14. Applications of Second-Order Linear Differential Equations
• Spring Problems
• Electrical Circuit Problems
• Buoyancy Problems
• Classifying Solutions
• Chapter 15. Matrices
• Matrices and Vectors
• Matrix Addition
• Scalar and Matrix Multiplication
• Powers of a Square Matrix
• Differentiation and Integration of Matrices
• The Characteristic Equation
• Chapter 16. eAt 140
• Definition
• Computation of eAt
• Chapter 17. Reduction of Linear Differential Equations to a System of First-Order Equations
• An Example
• Reduction of an nth Order Equation
• Reduction of a System
• Chapter 18. Graphical and Numerical Methods for Solving First-Order Differential Equations
• Qualitative Methods
• Direction Fields
• Euler's Method
• Stability
• Chapter 19. Further Numerical Methods for Solving First-Order Differential Equations
• General Remarks
• Modified Euler's Method
• Runge–Kutta Method
• Adams–Bashford–Moulton Method
• Milne's Method
• Starting Values
• Order of a Numerical Method
• Chapter 20. Numerical Methods for Solving Second-Order Differential Equations Via Systems
• Second-Order Differential Equations
• Euler's Method
• Runge–Kutta Method
• Adams–Bashford–Moulton Method
• Chapter 21. The Laplace Transform
• Definition
• Properties of Laplace Transforms
• Functions of Other Independent Variables
• Chapter 22. Inverse Laplace Transforms
• Definition
• Manipulating Denominators
• Manipulating Numerators
• Chapter 23. Convolutions and the Unit Step Function
• Convolutions
• Unit Step Function
• Translations
• Chapter 24. Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transforms
• Laplace Transforms of Derivatives
• Solutions of Differential Equations
• Chapter 25. Solutions of Linear Systems by Laplace
• Transforms
• The Method
• Chapter 26. Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods
• Solution of the Initial-Value Problem
• Solution with No Initial Conditions
• Chapter 27. Power Series Solutions of Linear Differential
• Equations with Variable Coefficients
• Second-Order Equations
• Analytic Functions and Ordinary Points
• Solutions Around the Origin of Homogeneous Equations

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Schaum Series Mathematics Books Pdf

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