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Mathematics
Foundations and Logic


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Computability and Randomness
Computability and Randomness
by Andre Nies
Publisher Comments
The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject. The complexity and the randomness aspect of a set of... (read more)

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A Profile of Mathematical Logic (Dover Books on Mathematics)
A Profile of Mathematical Logic (Dover Books on Mathematics)
by Howard Delong
Publisher Comments
Anyone seeking a readable and relatively brief guide to logic can do no better than this classic introduction. A treat for both the intellect and the imagination, it profiles the development of logic from ancient to modern times and compellingly... (read more)

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Key Terms in Logic (Key Terms)
Key Terms in Logic (Key Terms)
by Jon Williamson
Publisher Comments
The Key Terms in Philosophy series offers clear, concise and accessible introductions to the central topics in philosophy. Each book offers a comprehensive overview of the key terms, concepts, thinkers and major works in the history of a key area of... (read more)

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The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs
The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs
by Antonella Cupillari
Publisher Comments
The Nuts and Bolts of Proofs instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The text provides basic core techniques of how to read and write proofs through examples. The basic... (read more)

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Introduction to Mathematical Structures and Proofs (Textbooks in Mathematical Sciences)
Introduction to Mathematical Structures and Proofs (Textbooks in Mathematical Sciences)
by Larry J Gerstein
Synopsis
This acclaimed book aids the transition from lower-division calculus to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology and more, with examples, images, exercises and a solution manual for... (read more)

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Simplicity Theory (Oxford Logic Guides)
Simplicity Theory (Oxford Logic Guides)
by Byunghan Kim
Publisher Comments
Model theory, a major branch of mathematical logic, plays a key role connecting logic and other areas of mathematics such as algebra, geometry, analysis, and combinatorics. Simplicity theory, a subject of model theory, studies a class of mathematical... (read more)

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Cime Summer Schools #48: Aspects of Mathematical Logic: Lectures Given at the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Varenna (Como), Italy, September 9-17
Cime Summer Schools #48: Aspects of Mathematical Logic: Lectures Given at the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Varenna (Como), Italy, September 9-17
by E Casari
Publisher Comments
H. Hermes: Basic notions and applications of the theory of decidability.- D. Kurepa: On several continuum hypotheses.- A. Mostowski: Models of set theory.- A. Robinson: Problems and methods of model theory.- S. Sochor, B. Balcar: The general theory of... (read more)

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Logic for Mathematicians
Logic for Mathematicians
by J Barkley Rosser
Publisher Comments
Hailed by the Bulletin of the American Mathematical Society as "undoubtedly a major addition to the literature of mathematical logic," this volume examines the essential topics and theorems of mathematical reasoning. No background in logic is assumed... (read more)

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Euclid in the Rainforest: Discovering Universal Truth in Logic and Math
Euclid in the Rainforest: Discovering Universal Truth in Logic and Math
by Joseph Mazur
Book News Annotation
Mazur (mathematics, Marlboro College), like many a mathematician before him, seeks the truth. How he goes about it is to examine three kinds of logic, those from the ancient Greeks, the strange logic of infinity, and the everyday, practical, plausible... (read more)

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Frege's Theorem
Frege's Theorem
by Richard G Heck
Publisher Comments
Frege's Theorem collects eleven essays by Richard G Heck, Jr, one of the world's leading authorities on Frege's philosophy. The Theorem is the central contribution of Gottlob Frege's formal work on arithmetic. It tells us that the axioms of arithmetic... (read more)

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Popular Lectures on Mathematical Logic (Dover Books on Mathematics)
Popular Lectures on Mathematical Logic (Dover Books on Mathematics)
by Hao Wang
Publisher Comments
A noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. Author Hao Wang surveys the central concepts and theories of the discipline in a historical and... (read more)

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Wittgenstein's Lectures on the Foundations of Mathematics, Cambridge, 1939
Wittgenstein's Lectures on the Foundations of Mathematics, Cambridge, 1939
by Ludwig Wittgenstein
About the Author
Ludwig Wittgenstein (1889-1951) was arguably the most influential philosopher of the twentieth century. He was born in Vienna, but studied and practiced philosophy in Great Britain. He was a professor of philosophy at the University of Cambridge from... (read more)

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Logic in Elementary Mathematics
Logic in Elementary Mathematics
by Robert M Exner
Publisher Comments
This applications-related introductory treatment explores facets of modern symbolic logic useful in the exposition of elementary mathematics. The authors convey the material in a manner accessible to those trained in standard elementary mathematics but... (read more)

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The Mathematics of Logic: A Guide to Completeness Theorems and Their Applications
The Mathematics of Logic: A Guide to Completeness Theorems and Their Applications
by Richard Kaye
Book News Annotation
Kaye (pure mathematics, U. of Birmingham) gives undergraduate and first-year graduates key materials for a first course in logic, including a full mathematical account of the Completeness Theorem for first-order logic. As he builds a series of systems... (read more)

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Language, Proof and Logic
Language, Proof and Logic
by Jon Barwise
About the Author
Jon Barwise (1942-2000) was a mathematician, philosopher and logician. He taught at the Universities of Yale and Wisconsin before becoming the first director of the Center for the Study of Language and Information at Stanford University. From 1990 until... (read more)

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Mathematical Fallacies and Paradoxes
Mathematical Fallacies and Paradoxes
by Bryan Bunch
Publisher Comments
From ancient Greek mathematics to 20th-century quantum theory, paradoxes, fallacies and other intellectual inconsistencies have long puzzled and intrigued the mind of man. This stimulating, thought-provoking compilation collects and analyzes the most... (read more)

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Trends in Logic #37: Le Niewski's Systems of Logic and Foundations of Mathematics
Trends in Logic #37: Le Niewski's Systems of Logic and Foundations of Mathematics
by Rafal Urbaniak
Publisher Comments
This meticulous critical assessment of the ground-breaking work of philosopher... (read more)

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Collected Works
Collected Works
by Kurt Godel
Publisher Comments
Kurt Gödel was the most outstanding logician of the twentieth century, famous for his work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for... (read more)

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Axiomatic Set Theory
Axiomatic Set Theory
by Patrick Colo Suppes
Publisher Comments
This clear and well-developed approach to axiomatic set theory is geared toward upper-level undergraduates and graduate students. It examines the basic paradoxes and history of set theory and advanced topics such as relations and functions... (read more)

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Logic and Boolean Algebra (11 Edition)
Logic and Boolean Algebra (11 Edition)
by Arnold
Publisher Comments
This volume concentrates on the structure of Boolean algebras and rings as developed through simpler algebraic systems. The algebra of logic and set theory appears as applications or illustrations throughout, and numerous problems form an integral part... (read more)

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