This compact textbook provides a foundation in mathematics for STEM students entering university. The book helps students from different disciplines and backgrounds make the transition to university. Based on the author’s teaching for many years, the book can be used as a textbook and a resource for lecturers and professors. Its accessibility is such that it is can also be used by students in their final year in school before university and help them continue their mathematical studies at college. The book is designed so that students will return to the book repeatedly as their undergraduate careers progress. Although compact and concise, it loses no rigour. All the topics are carefully explained meaningfully, not just presented as a set of rules or rote-learned procedures.
As the title suggests this is a math book that covers pretty much a lot of the core math you see in the first year of university if you are a math, physics, engineer etc. student (less so if you major in math naturally). Even though, quite a bit of the material presented one would have had some exposure to during high school such as conic sections and basic trigonometry for instance.
Although, probably a book most math majors would take little interest in as its very much a route 'do by steps' recipe for solving the most typical exercises you would see in calculus, differential equations and linear algebra to focus on large portion of the book it still serves and important function. The brevity of the book also makes it so that there is not much in terms of proofs or technical details. However, I do feel that the book has a lot of merit as getting a quick refreshener in terms of a lot of material if you have not looked at it much in years as well as first year students (especially engineering students) will have lots of benefit stemming from all the examples and essential definitions in the book.
The books weakest point is the small amount of exercises that are offered where I wish the author offered more exercises to choose from as well as the fact that several of the diagrams in the book could have been better explained. Aside from that I would recommend the book for any entry level student into university who wants to sample from a light buffet in terms of getting a glimpse into a lot of the core ideas in mathematics. Naturally, its more geared towards applied math fields but that is also the main exposure for engineering and science students. Recommended.
Note: I don't like the star rating and as such I only rate books based upon one star or five stars corresponding to the in my opinion preferable rating system of thumbs up/down. This later rating system increases in my humble opinion the degree to which the reader is likely to engage with a review instead of merely glancing at the number of stars of a given book.)