Mathematics majors learn the underlying concepts and how to apply them to problem solving and proofs in this introduction to the fundamentals in mathematical reasoning and the basic properties of the real numbers and set theory. Proof techniques are covered in detail so that students gain the background they need for courses in abstract algebra and real analysis.
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Steven Galovich is Professor of Mathematics at Lake Forest College. Dr. Galovich's specializations are algebraic number theory and algebra, and his interests include the nature of mathematics, Fermat's Last Theorem, and the history of mathematics. In 1988, he won the Carl B. Allendoerfer Award for expository writing presented by the Mathematical Association of America for the paper "Products of sines and cosines" published in Mathematics Magazine.
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