
Title overview
For courses in Differential Equations and Linear Algebra.
The right balance between concepts, visualization, applications and skills
Differential Equations and Linear Algebra, 4th Edition combines core topics in elementary differential equations with concepts and methods of elementary linear algebra. It provides the conceptual development and geometric visualization of a modern differential equations and linear algebra course that is essential to science and engineering students. The authors balance traditional manual methods with the computer-based methods that illuminate qualitative phenomena; this comprehensive approach makes accessible a wider range of more realistic applications.
Hallmark features of this title
Key author content enhances conceptual understanding
- Procedures for Analysis provide a logical, orderly method for analyzing general and specific mechanics problems.
- Important Points summarize crucial concepts and what should be known to apply the theory to solve problems.
- End-of-chapter reviews provide a concise self-study tool. Each important point is accompanied by the relevant equation and art.
Real-world problem types connect theory to application
- Conceptual problems engage students in thinking through a real-life situation depicted in a photo.
- Free-Body Diagram problems let students practice key skills in solving equilibrium problems.
- Homework problems with various levels of difficulty let students apply their knowledge to realistic situations.
New and updated features of this title
- UPDATED: Re-written material provides further clarification of concepts and enhanced accuracy.
- UPDATED: New photos and photorealistic art show how the principles apply to real-world situations and how materials behave under load.
- UPDATED: Approximately 30% new problems involve applications to many different fields of engineering.
- UPDATED: Fundamental problems offer more chances for students to practice basic applications and develop their problem-solving skills. Some new Fundamental problems have been added, along with their partial solutions.
- UPDATED: Answer section at the back of the book includes additional information related to the solution of select Fundamental and Review problems in order to offer students guidance in solving the problems.
Key features
Features of Pearson eText for the 15th Edition
- NEW: Videos, developed by the author, include a variety of new video types that are available for the 15th Edition. Professor Hibbeler expertly demonstrates how to solve problems, models the best way to reach a solution, and gives students extra opportunities to practice honing their problem-solving skills; he also summarizes key concepts from the text, supported by additional figures, animations and photos.
- Interactive Figures help students visualize course concepts that are difficult to comprehend from static images alone.
Features of Mastering Engineering for the 15th Edition
- NEW: Setup-and-Solve exercises step students through the problem-solving process, similar to what instructors model during class. This reinforces conceptual understanding of the process applied in approaching the problem and mirrors what students will be expected to do on a quiz or test.
- Tutorial homework problems emulate the instructor's office-hour environment, guiding students through concepts in multi-step problems. Wrong-answer specific feedback is given, along with optional hints to break a problem down further.
- Video Solutions offer step-by-step solution walkthroughs of representative homework problems from the text.
- Learning Outcomes Summaries track student or class performance for learning outcomes. All assignable content has been tagged to ABET Learning Outcomes for you, or you can add your own.
Table of contents
- Kinematics of a Particle
- Kinetics of a Particle: Force and Acceleration
- Kinetics of a Particle: Work and Energy
- Kinetics of a Particle: Impulse and Momentum
- Planar Kinematics of a Rigid Body
- Planar Kinetics of a Rigid Body: Force and Acceleration
- Planar Kinetics of a Rigid Body: Work and Energy
- Planar Kinetics of a Rigid Body: Impulse and Momentum
- Three-Dimensional Kinematics of a Rigid Body
- Three-Dimensional Kinetics of a Rigid Body
- Vibrations
APPENDIX
- Mathematical Review and Expressions
Fundamental Problems Partial Solutions and Answers
Answers
Author bios
R. C. Hibbeler graduated from the University of Illinois at Urbana with a BS in Civil Engineering (majoring in Structures) and an MS in Nuclear Engineering. He obtained his PhD in Theoretical and Applied Mechanics from Northwestern University. Professor Hibbeler's professional experience includes postdoctoral work in reactor safety and analysis at Argonne National Laboratory, and structural and stress analysis work at Chicago Bridge and Iron, as well as at Sargent and Lundy in Chicago. He has practiced engineering in Ohio, New York, and Louisiana.
Professor Hibbeler currently teaches both civil and mechanical engineering courses at the University of Louisiana—Lafayette. In the past, he has taught at the University of Illinois at Urbana, Youngstown State University, Illinois Institute of Technology, and Union College.