Differential Equations Workbook for Dummies

Informationen zum Autor Steven Holzner, PhD, served on the faculty of Cornell University and Massachusetts Institute of Technology. He is an award-winning author who has written Physics For Dummies, Quantum Physics For Dummies, and more. Klappentext Making Everything Easier!Differential Equations Workbook for DummiesMake sense of these difficult equationsImprove your problem-solving skillsPractice with clear, concise examplesScore higher on standardized tests and examsSteven Holzner, PhDAuthor, Differential Equations For DummiesGet the confidence and the skills you need to master differential equations!Need to know how to solve differential equations? This easy-to-follow, hands-on workbook helps you master the basic concepts and work through the types of problems you'll encounter in your coursework. You get valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step solutions to every equation. You'll also memorize the most-common types of differential equations, see how to avoid common mistakes, get tips and tricks for advanced problems, improve your exam scores, and much more!The Dummies Workbook WayQuick refresher explanationsStep-by-step proceduresHands-on practice exercisesAmple workspace to work out problemsTear-out Cheat SheetA dash of humor and funGo to Dummies.com(r)for videos, step-by-step photos, how-to articles, or to shop the store!More than 100 problems!Detailed, fully worked-out solutions to problemsThe inside scoop on first, second, and higher order differential equationsA wealth of advanced techniques, including power series Zusammenfassung Differential Equations Workbook For Dummies is a course supplement and practice guide for students taking a course that involves the use of differential equations. This book takes readers step-by-step through this intimidating subject and features numerous practice exercises and clear, concise examples to improve problem-solving skills. Inhaltsverzeichnis Introduction 1 Part I: Tackling First Order Differential Equations 5 Chapter 1: Looking Closely at Linear First Order Differential Equations 7 Chapter 2: Surveying Separable First Order Differential Equations 29 Chapter 3: Examining Exact First Order Differential Equations 59 Part II: Finding Solutions to Second and Higher Order Differential Equations 79 Chapter 4: Working with Linear Second Order Differential Equations 81 Chapter 5: Tackling Nonhomogeneous Linear Second Order Differential Equations 105 Chapter 6: Handling Homogeneous Linear Higher Order Differential Equations 129 Chapter 7: Taking On Nonhomogeneous Linear Higher Order Differential Equations 153 Part III: The Power Stuff: Advanced Techniques 175 Chapter 8: Using Power Series to Solve Ordinary Differential Equations 177 Chapter 9: Solving Differential Equations with Series Solutions Near Singular Points 199 Chapter 10: Using Laplace Transforms to Solve Differential Equations 225 Chapter 11: Solving Systems of Linear First Order Differential Equations 249 Part IV: The Part of Tens 273 Chapter 12: Ten Common Ways of Solving Differential Equations 275 Chapter 13: Ten Real-World Applications of Differential Equations 279 Index 283 ...

List of contents

Introduction.
 
Part I: Tackling First Order Differential Equations.
 
Chapter 1: Looking Closely at Linear First Order Differential Equations.
 
Chapter 2: Surveying Separable First Order Differential Equations.
 
Chapter 3: Examining Exact First Order Differential Equations.
 
Part II: Finding Solutions to Second and Higher Order Differential Equations.
 
Chapter 4: Working with Linear Second Order Differential Equations.
 
Chapter 5: Tackling Nonhomogeneous Linear Second Order Differential Equations.
 
Chapter 6: Handling Homogeneous Linear Higher Order Differential Equations.
 
Chapter 7: Taking On Nonhomogeneous Linear Higher Order Differential Equations.
 
Part III: The Power Stuff: Advanced Techniques.
 
Chapter 8: Using Power Series to Solve Ordinary Differential Equations.
 
Chapter 9: Solving Differential Equations with Series Solutions Near Singular Points.
 
Chapter 10: Using Laplace Transforms to Solve Differential Equations.
 
Chapter 11: Solving Systems of Linear First Order Differential Equations.
 
Part IV: The Part of Tens.
 
Chapter 12: Ten Common Ways of Solving Differential Equations.
 
Chapter 13: Ten Real-World Applications of Differential Equations.
 
Index.

Product details

• Authors: Steve Holzner, Steven Holzner, Holzner Steven
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Paperback / Softback
• Released: 28.07.2009
• EAN: 9780470472019
• ISBN: 978-0-470-47201-9
• No. of pages: 312
• Series: For Dummies
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Mathematik, Mathematics, Differentialgleichung, Differentialgleichungen, Differential equations