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I have been a software programmer for over six years and I'm from a non-mathematical background. Though I had some limited exposure to discrete mathematics in my college years it didn't leave any significant impact on me; but now I have been finding many topics on discrete mathematics to be very interesting, especially combinatorics and I'm interested in learning more of it.

However few people I had approached told me that I need to first master calculus in order to take on discrete math, as they say that's how it is taught in universities, is this true? do I need know calculus to appreciate discrete math? (Also, can anyone point me to any books on combinatorics for beginners)

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In short, no. You do not need calculus to approach discrete math. –  mixedmath Aug 12 '13 at 20:52
    
Any book entitled "mathematics for computer science" is good. –  metacompactness Aug 12 '13 at 20:53
    
Agree with @mixedmath. I'm originally a compsci, but more recently I've learnt maths / calculus. I loved discrete mathematics when I did my compsci degree, and I can safely say that having done calculus now at degree level, it's not relevant to discrete mathematics. –  TooTone Aug 12 '13 at 20:54
    
If you can read German, I can recommend "Diskrete Mathematik für Einsteiger" from Beutelspacher (ISBN 978-3-8348-1248-3). No university-level math is required to understand this book. –  moose Aug 13 '13 at 10:44
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What is termed discrete mathematics is largely independent of calculus. In fact, to appreciate calculus properly, one might need some logic and set theory which is often part of a course in discrete mathematics together with other topics like combinatorics, graph theory and elementary number theory. For a good elementary text in combinatorics, I recommend Principles and Techniques of Combinatorics by Chen Chuan Chong and Koh Khee Meng.

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