Calculus for Engineering Students - 1st Edition - ISBN: 9780128172100

Calculus for Engineering Students

1st Edition

Fundamentals, Real Problems, and Computers

Authors: Jesus Martin Vaquero Michael Carr Araceli Quieruga-Dios Daniela Richtarikova
Paperback ISBN: 9780128172100
Imprint: Academic Press
Published Date: 1st August 2020
Page Count: 325
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Table of Contents

  1. Real functions and limits (one and multiple variables)
    2. Differentiation (one and multiple variables)
    3. Complex numbers and functions
    4. Real and complex sequences and series
    5. Function series (including Taylor and Fourier series)
    6. Applications of integrals (one variable)
    7. Double and multiple integrals
    8. Nonlinear equations (and systems of nonlinear equations)
    9. Linear optimization and the simplex method
    10. Nonlinear optimization
    11. First-order and systems of first-order differential equations
    12. Higher-order and systems of higher-order ordinary differential equations
    13. Partial differential equations
    14. Laplace and z transforms


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


Upper-division undergraduates and graduate engineering students who need to learn more mathematics, especially through engineering-oriented applications


No. of pages:
© Academic Press 2021
1st August 2020
Academic Press
Paperback ISBN:

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About the Authors

Jesus Martin Vaquero Author

Jesús Martín Vaquero is an Associate Professor at the Department of Applied Mathematics, University of Salamanca. He belongs to the Research Group in Cryptography, Information Security and Discrete Mathematics (GICSIMAD), which since 2007 a Recognized Research Group (GIR) of the University of Salamanca. Throughout this time he has participated in national and regional R + D + I projects. His research has been published in the SIAM Journal on Scientific Computing, Journal of Computational and Applied Mathematics, International Journal of Modern Physics, Journal of Computational and Applied Mathematics.

Affiliations and Expertise

University of Salamanca, Spain

Michael Carr Author

Micahel Carr has worked in the development of core mathematical skills, mathematics education for engineers, and mathematical education in Irish prisons. He has published innthe European Journal of Engineering, the Proceedings of the 45th SEFI Annual Conference, and the 41st SEFI conference.

Affiliations and Expertise

Dublin Institute of Technology, Ireland

Araceli Quieruga-Dios Author

Araceli Queiruga Dios is a lecturer in Mathematics at the Department of Applied Mathematics at the School of Industrial Engineering in Béjar, Spain. She studies public key cryptography as well as educational tools and mathematical applications for engineering students. She has published in the International Journal of Computer Mathematics and in the Lecture Notes in Computer Science (bioinformatics and artificial intelligence).

Affiliations and Expertise

Department of Applied Mathematics, School of Industrial Engineering in Bejar, Spain

Daniela Richtarikova Author

Daniela Richtáriková is a member of the Department of Mathematics and Physics in the Faculty of Mechanical Engineering at the Slovak University of Technology. She has published on ways to identify and use mathematical concepts in the Alplimat 15th Annual Conference on Applied Mathematics Proceedings. She has a background in Vocational Education, Teaching Methods, and Mathematics Education.

Affiliations and Expertise

Slovak University of Techology, Slovakia