By providing a clear and non-intimidating foundation in mathematics, this text sets out to develop engineering students' ability to handle basic mathematics with confidence. For use either as a self-teaching text or to accompany a lecture course, this book encourages mathematical understanding and develops manipulative skills through many worked examples, self-tests questions and exercises. This second edition includes many small improvements throughout the text and a new chapter on sets and probability providing the background to a course on statistics.
This is THE book covering mathematics from very basic up to about the end of 1st year of mathematics undergraduate course - differential calculus, integral calculus, sets, probabilities. Each chapter starts with 'Test Yourself' introduction, which gives you ability to try solve problems which will be presented in the chapter (which you might want to skip if problems are clear) and ends with chapter exercises & answers to them.
Apart from a few inevitable typos in questions and even answers which lead to serious head scratching this book is excellent in the fact that it walks you from the most elementary aspects of arithmetic right up to calculus with a bonus introductory chapter on probability and statistics.
There are two excellent aspects of this book: the challenging exercises and the clear explanations of the theorems and the ideas. You will feel like you are not just learning formulas and equations but actually understanding the logic and train of thought in the deductions.
I've had help from Phd holders in Mathematics and even they found some of the exercises quite challenging. I would rate this as up to first year university Mathematics level.
This book will not make you a mathematician obviously but it would greatly improve your mathematical skills and with that you would be able to confidently handle graduate courses requiring a high level of mathematical skill such as Physics, Chemistry, Economics and Mathematics itself.