Engineering Mathematics with Examples and Applications

Engineering Mathematics with Examples and Applications provides a compact and concise primer in the field, starting with the foundations and gradually developing to the advanced level of mathematics that is all necessary for all engineering disciplines. Therefore, this book aims for undergraduates to rapidly develop all the fundamental knowledge of engineering mathematics. It can also be used by graduates to review and refresh their mathematical skills. Step-by-step worked examples will help the students to gain more insight and build sufficient confidence in engineering mathematics and problem-solving. The main approach and style of this book is informal, theorem-free and practical. By using an informal and theorem-free approach, all fundamental mathematics topics required for engineering are covered, and readers can gain such basic knowledge of all important topics without worrying about rigorous (often boring) proofs. Some rigorous proof and derivatives will be presented in an informal way by direct, straightforward mathematical operations and calculations, and the students will gain the same level of fundamental knowledge without any tedious steps. In addition, the practical approach provides over 100 worked examples in this book so that students can see how each step of the mathematical problems can be derivative without any gap or jump in steps. Thus, readers can build their understanding and mathematical confidence gradually and in a step-by-step manner. By using an informal, theorem-free approach, all fundamental topics have been presented to the right level so that readers in engineering can learn without worry too much about the rigorous proofsReaders will gain more insight by following step-by-step worked examples (of which 100+ feature in the work) and thus become more confident in understanding and problem-solvingEmphasis on numerical methods such as root-finding algorithms, numerical integration and numerical methods of differential equations develops analytical mathematical skillsBalances theory and practice, so that readers can learn the fundamentals of theory, but also conduct practical problem-solving in various context with applications