Recommend a concise book on mathematical logic

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I am looking for a concise book which explains the symbolic logic required for mathematical proofs, such as the use of quantifiers and logical connectives. Which book should I use? Thanks in advance.

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How about the first two chapters of Daniel J. Velleman's widely available and widely praised How to Prove It (CUP)? That covers the connectives in Ch. 1 and the use of quantifiers in Ch. 2, with lots of explanations and illustrations. (The whole book is well worth reading if you are a relative beginner at mathematics.)