Mathematics for Civil Engineers provides a concise introduction to the
fundamental concepts of mathematics that are closely related to civil
engineering. By using an informal and theorem-free approach with more
than 150 step-by-step examples, all the key mathematical concepts and
techniques are introduced. Thus users of this textbook will gain the
basic knowledge and understanding required for their work. Exercises are
included In each chapter to give readers the opportunity to apply their
new knowledge; the answers to these dozens of 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, curve-fitting 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.Mathematics for Civil Engineers allows
undergraduates and civil engineers to develop a necessary, essential,
knowledge of engineering mathematics. Many of the worked examples are
chosen to reflect situations and problems in civil engineering practise.
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. All these topics and examples will help
readers to gain more insight and to build sufficient confidence in
applying engineering mathematics for problem solving in real engineering
situations. This book may also be useful for practitioners in other
engineering disciplines to improve their basic mathematical skills.
