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These two volumes cover the principal approaches to constructivism in mathematics. They present a thorough, uptodate introduction to the metamathematics of constructive mathematics, paying special attention to Intuitionism, Markov's constructivism and MartinLof's type theory with its operational semantics. A detailed exposition of the basic features of constructive mathematics, with illustrations from analysis, algebra and topology, is provided, with due attention to the metamathematical aspects. Volume 1 is a selfcontained introduction to the practice and foundations of constructivism, and does not require specialized knowledge beyond basic mathematical logic. Volume 2 contains mainly advanced topics of a prooftheoretical and semantical nature.
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