Description: Successfully addressing the frustration many readers feel as they make the transition from beginning calculus to a more rigorous level of mathematics, A Transition to Advanced Mathematics provides a firm foundation in the major ideas needed for continued work in the discipline. The authors guide readers to think and to express themselves mathematically -- to analyze a situation, extract pertinent facts, and draw appropriate conclusions.
-- Additional early examples of proofs, both direct and indirect.
-- Basic number theory concepts have been gathered together in the section that introduces direct proofs.
-- Improved explanations and additional examples for topics that readers often find difficult.
-- Improved exercises, especially those of the Proofs to Grade variety.
-- Optimally organized. Introduces enough logic to justify basic proof techniques, and builds from the study of sets to relations, to functions, and then to cardinality.

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