Differential Equations For Dummies

The fun and easy way to understand and solve complex
equations

Many of the fundamental laws of physics, chemistry, biology, and
economics can be formulated as differential equations. This
plain-English guide explores the many applications of this
mathematical tool and shows how differential equations can help us
understand the world around us. Differential Equations For
Dummies is the perfect companion for a college differential
equations course and is an ideal supplemental resource for other
calculus classes as well as science and engineering courses. It
offers step-by-step techniques, practical tips, numerous exercises,
and clear, concise examples to help readers improve their
differential equation-solving skills and boost their test
scores.

Auteur
Steven Holzner is an award-winning author of science, math, and technical books. He got his training in differential equations at MIT and at Cornell University, where he got his PhD. He has been on the faculty at both MIT and Cornell University, and has written such bestsellers as Physics For Dummies and Physics Workbook For Dummies.

Résumé
The fun and easy way to understand and solve complex equations Many of the fundamental laws of physics, chemistry, biology, and economics can be formulated as differential equations. This plain-English guide explores the many applications of this mathematical tool and shows how differential equations can help us understand the world around us. Differential Equations For Dummies is the perfect companion for a college differential equations course and is an ideal supplemental resource for other calculus classes as well as science and engineering courses. It offers step-by-step techniques, practical tips, numerous exercises, and clear, concise examples to help readers improve their differential equation-solving skills and boost their test scores.

Contenu

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.