A very useful book for anyone thinking of doing Mathematics at university.
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I am a first year student at Imperial College (where Professor Liebeck lectures) and I have to say that this book has really helped me. It was on the reading list that the university gave to me, so over the summer I used he book as a study aid.
Liebeck writes clearly and concisely, presenting the mathematics in an easy to understand way. At the same time the material covered is more challenging than at A-Level (which I found to be a bit repetitive) and will stimulate all students, regardless of their ability.
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An Excellent Introduction to Pure Mathematics
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I had a privilege of attending a first-year course at Imperial College, based on Prof. Martin Liebeck's book. The book, as well as the course (then taught by Prof. Kevin Buzzard), are superb. They are readily accessible to first-year university students and provide an easy transition from A-level to undergraduate mathematics. Moreover, the language is clear and concise, the examples instructive, and the book is generally fun to read. Liebeck selects some of the most interesting topics in elementary pure mathematics and stimulates the student's interest in the subject. Unfortunately, A-level mathematics is taught as a collection of algorithms, and the student may not be able to appreciate its depth and beauty. Whether you are a first-year mathematics undergraduate, or still at school, I would thoroughly recommend you to read this book so that you know what mathematics is really about.
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An excellent introduction to university mathematics
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The gap between high school and university mathematics is quite noticeable. I found this book to be an excellent book to prep a smooth landing to university mathematics. (The best one out of a long list of other similar books I had a look at)Starts of really easy and clear but still goes beyond the "surface" when required. The chapters are structured very short, which I thought was a good thing. It has a lot of worked examples. However, the book does not have solutions to the end-of-chapter exercises, which I thought was a long minus since I was reading the book on my own as a self study.. But all in all, a very enjoyable book to read!
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Very useful
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This book is ideal for A-level students who are considering doing a numerate degree, particularly maths. It contains lots of useful methods and tricks, with full proofs of every theorem. It isn't highly technical, nor does it go into much depth, but it is an excellent primer and will make you realise some of the amazing things that can be proved quite simply with the right concepts.
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Enjoyable and educational
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A concise Introduction to Pure Mathematics is very legible, it is written so that it is absorbed easily, it intoduces many prime topics including a very extensive and clear section on Integration
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