Smith C A First Course in Differential Equations,Modeling, Simulation 3ed 2025

Smith C A First Course in Differential Equations,Modeling, Simulation 3ed 2025

General:

Name: Smith C A First Course in Differential Equations,Modeling, Simulation 3ed 2025
Format: pdf
Size: 44.18 MB

Book:

Title: A First Course in Differential Equations, Modeling, and Simulation
Author: Carlos A. Smith, Scott W. Campbell, Ryan G. Toomey
Language: polski
Year: 2025
Subjects: Science & Technology, Mathematics, Mathematical Equations, Mathematical Equations – Differential, Mathematics – Applied
Publisher: CRC Press
ISBN: 9781040399798
Total pages: 535

Description:

A First Course in Differential Equations, Modeling, and Simulation shows how differential equations arise from applying basic physical principles and experimental observations to engineering systems. Avoiding overly theoretical explanations, the textbook also discusses classical and Laplace transform methods for obtaining the analytical solution of differential equations. In addition, the authors explain how to solve sets of differential equations where analytical solutions cannot easily be obtained. Incorporating valuable suggestions from mathematicians and mathematics professors, the third edition:

  • Reworks the chapter “Response of First and Second Order Systems” to include the system response to step changes, impulses, rectangular pulses, and sinusoid forcing functions as well as the response of coupled first- and second-order ordinary differential equations (ODEs); it also introduces Bode plots to analyze the frequency response of second-order ODEs and the principle of oscillation modes in coupled second-order ODEs
  • Adds a new section on springs and dampers in series or parallel
  • Includes new content on Simulink® and modeling
  • Contains new exercises that can be used as projects and answers to many of the end-ofchapter problems
  • Features new end-of-chapter problems and updates throughout

This textbook provides students with a practical understanding of how to apply differential equations in modern engineering and science.
A solutions manual and files of all figures in the text are available to adopting professors.

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