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What exactly is "logic, " and how does it work in the real world? Sweet Reason: A Field Guide to Modern Logic, 2nd Edition offers an innovative introduction to the field of logic in all its guises - one that integrates formal first order, modal, and nonclassical logic with natural language reasoning, analytical writing, critical thinking, set theory, and the philosophy of logic and mathematics. Designed to entertain as it informs, this nontrad...

An innovative introduction to set theory, this volume is for undergraduate courses in which students work in groups and present their solutions to the class. Complete solutions. 1986 edition.

This book is designed for use in a one semester problem-oriented course in undergraduate set theory. The combination of level and format is somewhat unusual and deserves an explanation. Normally, problem courses are offered to graduate students or selected undergraduates. I have found, however, that the experience is equally valuable to ordinary mathematics majors. I use a recent modification of R. L. Moore's famous method developed in recent ...

Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition.