An excellent book that will introduce a complete novice to mathematical thinking.<br>There is a chapter also on Set theory which is a nice touch (and it is used illustratively so it doesn't feel like you are studying sets specifically). The book gives an excellent outline on how to approach a proof and how to study mathematics which often perplexes even the most talented of mathematicians (problems or theory etc.?)<br><br>That said it is extremely basic. Anyone who has competed in math olympiads for a year or two will know the proof techniques and be familiar to some extent on how to set them out. Also the problem solving component is so-so. I suppose the study tips could be useful but I feel that they are self-explanatory to some extent if one has a certain degree of mathematical experience.<br><br>A good book for neophytes. But if you are in your second year at University/College then this book will NOT help you. For first-year it will be of limited value, as one learns best by DOING.