This rich collection of fully worked problems in many areas of mathematics covers all the important subjects students are likely to encounter in their courses, from introductory to final-year undergraduate classes. Because lecture courses tend to focus on theory rather than examples, these exercises offer a valuable complement to classroom teachings, promoting the understanding of mathematical techniques and helping students prepare for exams. They will prove useful to undergraduates in mathematics; students in engineering, physics, and chemistry; and postgraduate scientists looking for a way to refresh their skills in specific topics. The problems can supplement lecture notes and any conventional text. Starting with functions, inequalities, limits, differentiation, and integration, topics encompass integral inequalities, power series and convergence, complex variables, hyperbolic function, vector and matrix algebra, Laplace transforms, Fourier series, vector calculus, and many other subjects.
Learning by doing exercises! This is a great book for undergraduate scientists and engineers to consolidate their mathematics.
Maths is something you only truely learn by doing lots of exercises. Sadly, many textbook authors skimp on worked examples and on problems *with answers*. This book is nothing but worked examples, on pretty much all topics you are likely to need to know.
You could use it for learning (by reading the worked answers), but really it should be used as a complement to your main textbook. Work through each exercise yourself, then look at the worked answer if you are stuck or to see if you have got it right.
For me, this book is fun to work through - like doing a crossword or other puzzle book. And at the same time, I am learning/consolidating my knowledge.