Engineering Mathematics with MATLAB Applications: Vol. 2, Advanced Topics

This book provides a comprehensive approach to engineering mathematics, concentrating on advanced topics. The book is the second of two complementary textbooks. Volume 2 covers analytical, approximate (semi-analytical), and numerical solution of differential equations, finite element and optimization methods. Within the context of numerical solution of differential equations, explicit and implicit methods are extensively covered. Distinct from similar books, unique sections are covered in each chapter, for example, differential quadrature method is uniquely included in the numerical solution of differential equations. In optimization section, both classical and modern optimization methods are covered in sufficient detail. To deepen conceptual understanding and improve overall learning, example problems are solved in each chapter illustrating both theory and software-based methods. MATLAB programs developed by the author are additionally provided in appendices to implement the methods and show the examples of program development for engineering applications.

List of contents

Quadratic and Cubic Product Systems.- Inflection Singularity and Bifurcation Dynamics.- Saddle-node and hyperbolic-flow singular dynamics.

About the author

Prof. Dr. Hasan KURTARAN is a Professor in the Department of Aerospace Engineering at Adana Alparslan Türkeş Science and Technology University in Turkey.

Product details

• Authors: Hasan Kurtaran
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Release: 13.07.2025
• EAN: 9783031818752
• ISBN: 978-3-0-3181875-2
• No. of pages: 750
• Illustrations: Approx. 750 p.
• Subjects: Natural sciences, medicine, IT, technology > Technology > General, dictionaries; Mathematische Modellierung, Differentialrechnung und -gleichungen, Numerische Mathematik, Computational Mathematics and Numerical Analysis, Differential equations, Engineering mathematics, Mathematical and Computational Engineering Applications, Mathematical Modeling and Industrial Mathematics, classical and modern optimization methods, explicit and implicit methods, numerical solution of differential equations, finite element and optimization methods, differential quadrature method