Essential Mathematics for Engineers and Scientists

'In our modern world, mathematics has proven to be essential for all of engineering and sciences. With the right balance between rigorous treatments, informal discussions, beautiful applications, and a myriad of informative examples, this book is not only essential but also truly enjoyable.' Alain Goriely, Oxford University 'The book presents fundamental topics from linear algebra, complex analysis and partial differential equations which make up the core of the scientific software packages used to solve real-word problems. The straightforward and clear style focused on applications of mathematics makes the book accessible to engineers and scientists. Numerous examples are presented in detail, and a good selection of exercises is given at the end of each chapter. Humor and insightful comments stimulate learning and the development of critical thinking skills. The book will make an excellent resource for an upper undergraduate or graduate-level course in mathematical topics for engineers and scientists.' Corina Drapaca, Pennsylvania State University 'A comprehensive and engaging book that discusses most of the basic mathematical techniques relevant to engineering and the physical sciences. The authors go well beyond what is typical in this genre by providing comprehensive coverage of advanced topics such as vector spaces, the Fredholm alternative and tensor algebra, and extensive exposure to complex variable methods including branch cuts, Laplace transform inversion and the Plemelj formulae. Further advanced subjects include the notion of the adjoint of a linear differential operator. All this in addition to very thorough coverage of the more standard solution techniques for linear ordinary and partial differential equations, eigenfunction methods and Green's functions. Every topic is skillfully illustrated by examples that reinforce and illustrate the many theoretical concepts one finds in this book.' David Steigmann, University of California, Berkeley 'This book is written for engineers and scientists as well as undergraduates with engineering and physical sciences. It covers a range of fundamental mathematics including Linear Algebra, Complex Variables, and Partial Differential Equations. The book features a lot of examples to explain concepts, theorems, and application math skills. It can also be used by graduate students as a reference book to advance in their engineering studies and practice.' Shensheng Tang, St Cloud State University