Power your way through ordinary and singular points Understand differential equations through practical tips and examples Do differential equations cause you distress? No worries! This friendly guide explains this intimidating subject in plain English, walking you step by step through all the key concepts -- from linear and separable first order differential equations to higher order equations, power series, and Laplace transforms. You'll find plenty of examples to increase your problem-solving skills and a variety of helpful definitions and explanations to conquer even the toughest differential equations. Discover how to: * Classify differential equations * Solve with integrating factors * Work with coefficients * Use handy theorems * Have fun with advanced techniques * Apply differential equations in real life
- Produktdetails
- Verlag: John Wiley & Sons / John Wiley & Sons Inc
- Seitenzahl: 368
- Erscheinungstermin: 23. Mai 2008
- Englisch
- Abmessung: 235mm x 188mm x 20mm
- Gewicht: 544g
- ISBN-13: 9780470178140
- ISBN-10: 0470178140
- Artikelnr.: 23384723
Introduction
Part I: Focusing on First Order Differential Equations
Chapter 1: Welcome to the World of Differential Equations
Chapter 2: Looking at Linear First Order Differential Equations
Chapter 3: Sorting Out Separable First Order Differential Equations
Chapter 4: Exploring Exact First Order Differential Equations and Euler's Method
Part II: Surveying Second and Higher Order Differential Equations
Chapter 5: Examining Second Order Linear Homogeneous Differential Equations
Chapter 6: Studying Second Order Linear Nonhomogeneous Differential Equations
Chapter 7: Handling Higher Order Linear Homogeneous Differential Equations
Chapter 8: Taking On Higher Order Linear Nonhomogeneous Differential Equations
Part III: The Power Stuff: Advanced Techniques
Chapter 9: Getting Serious with Power Series and Ordinary Points
Chapter 10: Powering through Singular Points
Chapter 11: Working with Laplace Transforms
Chapter 12: Tackling Systems of First Order Linear Differential Equations
Chapter 13: Discovering Three Fail-Proof Numerical Methods
Part IV: The Part of Tens
Chapter 14: Ten Super-Helpful Online Differential Equation Tutorials
Chapter 15: Ten Really Cool Online Differential Equation Solving Tools
Index
Part I: Focusing on First Order Differential Equations
Chapter 1: Welcome to the World of Differential Equations
Chapter 2: Looking at Linear First Order Differential Equations
Chapter 3: Sorting Out Separable First Order Differential Equations
Chapter 4: Exploring Exact First Order Differential Equations and Euler's Method
Part II: Surveying Second and Higher Order Differential Equations
Chapter 5: Examining Second Order Linear Homogeneous Differential Equations
Chapter 6: Studying Second Order Linear Nonhomogeneous Differential Equations
Chapter 7: Handling Higher Order Linear Homogeneous Differential Equations
Chapter 8: Taking On Higher Order Linear Nonhomogeneous Differential Equations
Part III: The Power Stuff: Advanced Techniques
Chapter 9: Getting Serious with Power Series and Ordinary Points
Chapter 10: Powering through Singular Points
Chapter 11: Working with Laplace Transforms
Chapter 12: Tackling Systems of First Order Linear Differential Equations
Chapter 13: Discovering Three Fail-Proof Numerical Methods
Part IV: The Part of Tens
Chapter 14: Ten Super-Helpful Online Differential Equation Tutorials
Chapter 15: Ten Really Cool Online Differential Equation Solving Tools
Index