Cover for Calculus for Engineering Students

Calculus for Engineering Students

Fundamentals, Real Problems, and Computers

A volume in Mathematics in Science and Engineering

Book2020

Edited by:

Jesús Martín-Vaquero, Michael Carr, ... Daniela Richtáriková

Calculus for Engineering Students

Fundamentals, Real Problems, and Computers

A volume in Mathematics in Science and Engineering

Book2020

 

Cover for Calculus for Engineering Students

Edited by:

Jesús Martín-Vaquero, Michael Carr, ... Daniela Richtáriková

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Book description

Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, auto ... read full description

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Table of contents

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  1. Full text access
  2. Book chapterAbstract only

    1 - Limits and apparent paradoxes in economics and engineering

    Víctor Gayoso Martínez, Luis Hernández Encinas and Agustín Martín Muñoz

    Pages 1-14

  3. Book chapterAbstract only

    2 - Derivative: tool for approximation and investigation

    Petr Habala

    Pages 15-37

  4. Book chapterAbstract only

    3 - Complex numbers and some applications

    Fatih Yılmaz

    Pages 39-60

  5. Book chapterAbstract only

    4 - Sequences and series: a tool for approximation

    Petr Habala

    Pages 61-83

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    5 - Vibrations and harmonic analysis

    Daniela Richtáriková and Miloš Musil

    Pages 85-117

  7. Book chapterAbstract only

    6 - Applications of integral calculus

    Ion Mierluş-Mazilu, Ştefania Constantinescu, ... César de Santos-Berbel

    Pages 119-135

  8. Book chapterAbstract only

    7 - Multiple integrals in mechanical engineering

    Deolinda M.L. Dias Rasteiro, Manuel Rodríguez-Martín and Pablo Rodríguez-Gonzálvez

    Pages 137-156

  9. Book chapterAbstract only

    8 - Critical forces and collisions. How to solve nonlinear equations and their systems

    Monika Kováčová and Daniela Richtáriková

    Pages 157-178

  10. Book chapterAbstract only

    9 - Shortest path problem and computer algorithms

    Deolinda M.L. Dias Rasteiro

    Pages 179-195

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    10 - Random variables as arc parameters when solving shortest path problems

    Deolinda M.L. Dias Rasteiro and Nelson Chibeles-Martins

    Pages 197-219

  12. Book chapterAbstract only

    11 - Snails, snakes, and first-order ordinary differential equations

    Alberto Alonso Izquierdo, Ascensión H. Encinas, ... Gerardo Rodríguez

    Pages 221-243

  13. Book chapterAbstract only

    12 - Oscillations in higher-order differential equations and systems of differential equations

    Lucian Niţă, Ion Mierluş-Mazilu, ... Pablo Rodríguez-Gonzálvez

    Pages 245-272

  14. Book chapterAbstract only

    13 - Partial differential equations

    Cormac Breen and Michael Carr

    Pages 273-303

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    14 - Laplace transforms: Engineering applications of Laplace transforms

    Michael Carr, Mark Mc Grath and Eabhnat Ní Fhloinn

    Pages 305-326

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    15 - Specific mathematical software to solve some problems

    Alberto Alonso Izquierdo, Miguel Ángel González León, ... Araceli Queiruga-Dios

    Pages 327-347

  17. Book chapterNo access

    Index

    Pages 349-354

About the book

Description

Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications.

Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications.

Key Features

  • Organized around project-based rather than traditional homework-based learning
  • Reviews basic mathematics and theory while also introducing applications
  • Employs uniform chapter sections that encourage the comparison and contrast of different areas of engineering
  • Organized around project-based rather than traditional homework-based learning
  • Reviews basic mathematics and theory while also introducing applications
  • Employs uniform chapter sections that encourage the comparison and contrast of different areas of engineering

Details

ISBN

978-0-12-817210-0

Language

English

Published

2020

Copyright

Copyright © 2020 Elsevier Inc. All rights reserved.

Imprint

Academic Press

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Editors

Jesús Martín-Vaquero

Department of Applied Mathematics, University of Salamanca, Salamanca, Spain

Michael Carr

Department of Multidisciplinary Technologies, College of Engineering and Built Environment, Technological University Dublin, Dublin, Ireland

Araceli Queiruga-Dios

Department of Applied Mathematics, University of Salamanca, Salamanca, Spain

Daniela Richtáriková

Department of Mathematics and Physics, Faculty of Mechanical Engineering, Slovak University of Technology in Bratislava, Bratislava, Slovakia