Mathematics for Civil Engineers ― An Introduction

With more than 150 step-by-step examples, this concise introduction to the fundamental concepts of mathematics that are closely related to civil engineering uses an informal and theorem-free approach to introduce key mathematical concepts and techniques. Exercises are included in each chapter to give readers the opportunity to apply their new knowledge; the answers to these exercises are provided at the end of the book. Topics include: functions, trigonometrical functions, equations, polynomials, vectors and matrices, eigenvalues and eigenvectors, tensors, differentiation, integration, advanced calculus such as double integrals and special integrals, complex numbers, differential equations, Fourier series and transforms, Laplace transforms, probability and statistics, curvefitting, and linear regression. Advanced topics include: partial differential equations and integral equations, root-finding algorithms for nonlinear equations, numerical methods for solving differential equations, optimization, and nonlinear optimization. Undergraduates and civil engineers can use this textbook to develop the necessary knowledge of engineering mathematics. Many of the worked examples are chosen to reflect situations and problems in civil engineering practice. Examples include: moment of inertia, second moment of area, beam buckling, harmonic motion and forced harmonic motion, elasticity, transfer function, waves and heat transfer, maximization and minimization and many others. This book may also be useful for practitioners in other engineering disciplines to improve their basic mathematical skills. [Subject: Mathematics, Civil Engineering, Education]

Dr Xin-She Yang obtained his DPhil in Applied Mathematics from the Universityof Oxford. He is Reader at Middlesex University, London and Adjunct Professor at Reykjavik University (Iceland). He has authored or edited more than 25 books. He is also the Editor-in-Chief of the International Journal of Mathematical Modelling and Numerical Optimisation.