The book can also be used by graduates to review and refresh their mathematical skills. Step-by-step worked examples will help the students gain more insights 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.
Certain rigorous proof and derivatives are presented in an informal way by direct, straightforward mathematical operations and calculations, giving students the same level of fundamental knowledge without any tedious steps. In addition, this practical approach provides over 100 worked examples so that students can see how each step of mathematical problems can be derived without any gap or jump in steps. Thus, readers can build their understanding and mathematical confidence gradually and in a step-by-step manner.
Covers fundamental engineering topics that are presented at the right level, without worry of rigorous proofsIncludes step-by-step worked examples (of which 100+ feature in the work) Provides an emphasis on numerical methods, such as root-finding algorithms, numerical integration, and numerical methods of differential equations Balances theory and practice to aid in practical problem-solving in various contexts and applications
The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data.
* Numerous examples and problems interspersed throughout the presentations
* Each extensive chapter contains a preview, objectives, and summary
* Includes topics not found in similar books, such as a review of general algebra and an introduction to group theory
* Provides chemistry specific instruction without the distraction of abstract concepts or theoretical issues in pure mathematics
- Highly accessible presentation of fundamental mathematical techniques needed in science and engineering courses
- Use of proven pedagogical techniques develolped during the author’s 40 years of teaching experience
- illustrations and links to reference material on World-Wide-Web
- Coverage of fairly advanced topics, including vector and matrix algebra, partial differential equations, special functions and complex variables