Calculus for Engineering Students. Fundamentals, Real Problems, and Computers. Mathematics in Science and Engineering

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

Authors

Jesus Martin Vaquero University of Salamanca, Spain. Jes�s Mart�n 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. Michael Carr Department of Multidisciplinary Technologies, College of Engineering and Built Environment Technological University Dublin, Ireland. 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. Araceli Quieruga-Dios Department of Applied Mathematics, School of Industrial Engineering in Bejar, Spain. Araceli Queiruga Dios is a lecturer in Mathematics at the Department of Applied Mathematics at the School of Industrial Engineering in B�jar, 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). Daniela Richtarikova Slovak University of Techology, Slovakia. Daniela Richt�rikov� has teached mathematics and related subjects at Slovak University of Technology in Bratislava since 1992. She finished her studies at Comenius University, and received her PhD at Slovak University of Technology. Her main research interests include fractal geometry, elements of chaos theory, and relationships between mathematics and art. Nowadays, she focuses on applied mathematics and pedagogical research in the field of active and competency based mathematical education. She is the author of more than 80 papers and two textbooks. She acts as an executive secretary in the Slovak Society for Geometry and Graphics, the editor of the scientific journal "G - Slovak journal for Geometry and Graphics�, and as the organizer of international conferences. She has cooperated in a number of national and international educational and research projects.