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- Dover Publications 2012; US$ 21.95
Set Theory and Logic is the result of a course of lectures for advanced undergraduates, developed at Oberlin College for the purpose of introducing students to the conceptual foundations of mathematics. Mathematics, specifically the real number system, is approached as a unity whose operations can be logically ordered through axioms. One of the... more...
- Dover Publications 2012; US$ 18.95
Part I of this coherent, well-organized text deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Ideal for undergraduates. more...
- Dover Publications 2012; US$ 16.95
This third edition of a popular, well-received text offers undergraduates an opportunity to obtain an overview of the historical roots and the evolution of several areas of mathematics. The selection of topics conveys not only their role in this historical development of mathematics but also their value as bases for understanding the changing nature... more...
- Dover Publications 2013; US$ 39.99
Written by the nineteenth-century French philosophical founder of positivism, this comprehensive map of mathematical science assigns to each part of the complex whole its true position and value. The two-part treatment begins with a general view of mathematical analysis and advances to algebra, continuing with an exploration of geometry's ancient... more...
- Dover Publications 2014; US$ 57.50
One of the twentieth century's most eminent mathematical writers, Augustus De Morgan enriched his expositions with insights from history and psychology. On the Study and Difficulties of Mathematics represents some of his best work, containing points usually overlooked by elementary treatises, and written in a fresh and natural tone that provides a... more...
- Dover Publications 2012; US$ 14.95
In modern mathematics, both the theory of proof and the derivation of theorems from axioms bear an unquestioned importance. The necessary skills behind these methods, however, are frequently underdeveloped. This book counters that neglect with a rigorous introduction that is simple enough in presentation and context to permit relatively easy comprehension.... more...
- Dover Publications 2014; US$ 19.95
The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. The self-contained treatment features many exercises, problems,... more...
- Dover Publications 2014; US$ 14.95
Hailed by the Bulletin of the American Mathematical Society as "easy to use and a pleasure to read," this research monograph is recommended for students and professionals interested in model theory and definability theory. The sole prerequisite is a familiarity with the basics of logic, model theory, and set theory. The author, Professor of Mathematics... more...
- Dover Publications 2015; US$ 14.95
Preface Chapter 1. The Notion of Formal Language 1.1 Basic Concepts and Notations 1.2 The Chomsky Hierarchy of Languages Chapter 2. Operations on Languages 2.1 Definitions of Operations on Languages 2.2 Closure Properties of Language Classes Chapter 3. Context-Free Languages 3.1 The Chomsky Normal Form 3.2 Derivation Tree 3.3 Linear Grammars... more...
- Dover Publications 2012; US$ 6.95
Although mathematical logic can be a formidably abstruse topic, even for mathematicians, this concise book presents the subject in a lively and approachable fashion. It deals with the very important ideas in modern mathematical logic without the detailed mathematical work required of those with a professional interest in logic. The book begins with... more...