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Mathematics
Foundations and Logic


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Godel, Escher, Bach: An Eternal Golden Braid
Godel, Escher, Bach: An Eternal Golden Braid
by Douglas R. Hofstadter
Publisher Comments
This groundbreaking Pulitzer Prize-winning book sets the standard for interdisciplinary writing, exploring the patterns and symbols in the thinking of mathematician Kurt Godel, artist M.C. Escher, and composer Johann Sebastian Bach.... (read more)

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How to Prove It: A Structured Approach
How to Prove It: A Structured Approach
by Daniel J. Velleman
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This new edition of Dan Velleman's successful textbook contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software.... (read more)

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Language, Proof and Logic
Language, Proof and Logic
by Jon Barwise
Publisher Comments
This textbook/software package covers first-order language in a method appropriate for first and second courses in logic. The unique on-line grading services instantly grades solutions to hundred of computer exercises. It is specially devised to be used... (read more)

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Inductive Reasoning: Experimental, Developmental, and Computational Approaches
Inductive Reasoning: Experimental, Developmental, and Computational Approaches
by Aidan Feeney
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The first book on the psychology of inductive reasoning in 20 years.... (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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Nuts and Bolts of Proofs (4TH 12 Edition)
Nuts and Bolts of Proofs (4TH 12 Edition)
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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Mind's I : Fantasies and Reflections on Self and Soul (81 Edition)
Mind's I : Fantasies and Reflections on Self and Soul (81 Edition)
by Douglas R. Hofstadter
Publisher Comments
Brilliant, shattering, mind-jolting, The Mind's I is a searching, probing nook--a cosmic journey of the mind--that goes deeply into the problem of self and self-consciousness as anything written in our time. From verbalizing chimpanzees to scientific... (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
Publisher Comments
"...Gerstein wants-very gently-to teach his students to think. He wants to show them how to wrestle with a problem (one that is more sophisticated than "plug and chug"), how to build a solution, and ultimately he wants to teach the students to take a... (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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Computer & the Information Revolution
Computer & the Information Revolution
by Georges Ifrah
Synopsis
The final volume in Georges Ifrah's history of numbers, this work explores the computer and the information revolution. It introduces the reader to the departure made from the decimal Base 10 to the spread of the binary Base 2, and examines the origins... (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
Publisher Comments
How do we know that something is true? How do we know that things really are what they seem? Many people think math and science are the ultimate authorities on reality. Math defines abstract, universal truths; scientific truths are established by... (read more)

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On Godel (Wadsworth Philosophers Series)
On Godel (Wadsworth Philosophers Series)
by Jaakko Hintikka
Publisher Comments
This brief text assists students in understanding Godel's philosophy and thinking so that they can more fully engage in useful, intelligent class dialogue and improve their understanding of course content. Part of the "Wadsworth Philosophers Series... (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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Philosophical Papers #01: Philosophical Papers: Volume 1, Mathematics, Matter and Method
Philosophical Papers #01: Philosophical Papers: Volume 1, Mathematics, Matter and Method
by Hilary Putnam
Publisher Comments
This book deals with the philosophy of mathematics and of science and the nature of philosophical and scientific enquiry, and with the philosophy of language and mind.... (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
Publisher Comments
This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of... (read more)

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Three Views of Logic: Mathematics, Philosophy, and Computer Science
Three Views of Logic: Mathematics, Philosophy, and Computer Science
by Donald W Loveland
Publisher Comments
"Formal logic should no longer be taught as a course within a single subject area, but should be taught from an interdisciplinary perspective. Three Views of Logic has many fine features and combines materials not found together elsewhere. We have needed... (read more)

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