• Mathematics

Popular Lectures on Mathematical Logic


Author: Hao Wang
Publisher: Courier Corporation
ISBN: 0486171043
Category: Mathematics
Page: 292
View: 3425
Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.

    • Mathematics

Mathematical Logic


Author: Stephen Cole Kleene
Publisher: Courier Corporation
ISBN: 0486317072
Category: Mathematics
Page: 416
View: 6460
Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

    • Mathematics

Set Theory and the Continuum Hypothesis


Author: Paul J. Cohen,Martin Davis
Publisher: Courier Corporation
ISBN: 0486469212
Category: Mathematics
Page: 154
View: 2277
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.

    • Biography & Autobiography

Reflections on Kurt Gödel


Author: Hao Wang
Publisher: MIT Press
ISBN: 9780262730877
Category: Biography & Autobiography
Page: 336
View: 1627
Newton/Descartes. Einstein/Gödel. The seventeenth century had its scientific andphilosophical geniuses. Why shouldn't ours have them as well? Kurt Gödel was indisputably one of thegreatest thinkers of our time, and in this first extended treatment of his life and work, Hao Wang,who was in close contact with Gödel in his last years, brings out the full subtlety of Gödel's ideasand their connection with grand themes in the history of mathematics and philosophy.The subjects hecovers include the completeness of elementary logic, the limits of formalization, the problem ofevidence, the concept of set, the philosophy of mathematics, time, and relativity theory,metaphysics and religion, as well as general ideas on philosophy as a worldview. Wang, whosereflections on his colleague also serve to clarify his own philosophical thoughts, distinguishes hisideas from those of Gödel's and on points of agreement develops Gödel's views further.The bookprovides a generous array of information on and interpretation of the two main phases of Gödel'scareer - the years between 1924 and 1939 at the University of Vienna, which were marked by intensemathematical creativity, and the period from 1940 to his death in 1978, during which he wasaffiliated with the Institute for Advanced Studies in Princeton, a time in which Gödel's interestssteadily shifted from questions of logic to metaphysics. And it also examines Gödel's relations withthe Vienna Circle, his philosophical differences with Carnap and Wittgenstein, the intimate andmutually fruitful friendship with Einstein, and the periodic bouts of depression for which Gödel washospitalized a number of times over the course of his life.Hao Wang is Professor of Logic at TheRockefeller University and author of scores of articles and several books on logic, computers, andphilosophy, including From Mathematics to Philosophy (extensively discussed with Gödel andcontaining contributions by him) and Beyond Analytic Philosophy: Doing Justice to What We Know (MITPress Bradford Books). He is currently preparing a companion volume, Conversations with Kurt Gödelwhich will concentrate on Gödel's unpublished ideas. A Bradford Book.

    • Mathematics

An Introduction to Stability Theory


Author: Anand Pillay
Publisher: Courier Corporation
ISBN: 0486150437
Category: Mathematics
Page: 160
View: 4175
This introductory treatment covers the basic concepts and machinery of stability theory. Full of examples, theorems, propositions, and problems, it is suitable for graduate students, professional mathematicians, and computer scientists. 1983 edition.

    • Mathematics

Mathematics for the Nonmathematician


Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486316130
Category: Mathematics
Page: 672
View: 8108
Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.

    • Mathematics

Principles of Mathematical Logic


Author: David Hilbert,Wilhelm Ackermann,Robert E. Luce
Publisher: American Mathematical Soc.
ISBN: 0821820249
Category: Mathematics
Page: 172
View: 2840
David Hilbert was particularly interested in the foundations of mathematics. Among many other things, he is famous for his attempt to axiomatize mathematics. This now classic text is his treatment of symbolic logic. This translation is based on the second German edition and has been modified according to the criticisms of Church and Quine. In particular, the authors' original formulation of Godel's completeness proof for the predicate calculus has been updated. In the first half of the twentieth century, an important debate on the foundations of mathematics took place. Principles of Mathematical Logic represents one of Hilbert's important contributions to that debate. Although symbolic logic has grown considerably in the subsequent decades, this book remains a classic.

A Logical Journey

From Gödel to Philosophy
Author: N.A
Publisher: MIT Press
ISBN: 9780262261258
Category:
Page: N.A
View: 3009

    • Mathematics

Set Theory and Logic


Author: Robert R. Stoll
Publisher: Courier Corporation
ISBN: 0486139646
Category: Mathematics
Page: 512
View: 2238
Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.

    • Mathematics

A Beginner's Guide to Mathematical Logic


Author: Raymond M. Smullyan
Publisher: Courier Corporation
ISBN: 0486782972
Category: Mathematics
Page: 304
View: 1639
Combining stories of great writers and philosophers with quotations and riddles, this completely original text for first courses in mathematical logic examines problems related to proofs, propositional logic and first-order logic, undecidability, and other topics. 2013 edition.

    • Mathematics

Lectures on Ergodic Theory


Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486814890
Category: Mathematics
Page: 112
View: 1305
This concise classic by Paul R. Halmos, a well-known master of mathematical exposition, has served as a basic introduction to aspects of ergodic theory since its first publication in 1956. "The book is written in the pleasant, relaxed, and clear style usually associated with the author," noted the Bulletin of the American Mathematical Society, adding, "The material is organized very well and painlessly presented." Suitable for advanced undergraduates and graduate students in mathematics, the treatment covers recurrence, mean and pointwise convergence, ergodic theorem, measure algebras, and automorphisms of compact groups. Additional topics include weak topology and approximation, uniform topology and approximation, invariant measures, unsolved problems, and other subjects.

    • Mathematics

An Introduction to Symbolic Logic


Author: Langer
Publisher: Courier Corporation
ISBN: 9780486601649
Category: Mathematics
Page: 384
View: 7229
Famous classic has introduced countless readers to symbolic logic with its thorough and precise exposition. Starts with simple symbols and conventions and concludes with the Boole-Schroeder and Russell-Whitehead systems. No special knowledge of mathematics necessary. "One of the clearest and simplest introductions to a subject which is very much alive." — Mathematics Gazette.

    • Mathematics

Introductory Discrete Mathematics


Author: V. K . Balakrishnan
Publisher: Courier Corporation
ISBN: 0486140385
Category: Mathematics
Page: 256
View: 2940
This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.

    • Mathematics

Introduction to Logic

and to the Methodology of Deductive Sciences
Author: Alfred Tarski
Publisher: Courier Corporation
ISBN: 0486318893
Category: Mathematics
Page: 272
View: 7898
This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.

    • Mathematics

Abstract Algebra


Author: W. E. Deskins
Publisher: Courier Corporation
ISBN: 0486158462
Category: Mathematics
Page: 656
View: 6870
Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.

    • Computers

Set Theory for Computing

From Decision Procedures to Declarative Programming with Sets
Author: Domenico Cantone,Eugenio Omodeo,Alberto Policriti
Publisher: Springer Science & Business Media
ISBN: 1475734522
Category: Computers
Page: 409
View: 2981
An up-to-date and comprehensive account of set-oriented symbolic manipulation and automated reasoning methods. This book is of interest to graduates and researchers in theoretical computer science and computational logic and automated reasoning.

    • Mathematics

The Development of Mathematics


Author: E. T. Bell
Publisher: Courier Corporation
ISBN: 0486152286
Category: Mathematics
Page: 656
View: 4332
Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

    • Mathematics

Lectures on Measure and Integration


Author: Harold Widom
Publisher: Courier Dover Publications
ISBN: 0486810283
Category: Mathematics
Page: 176
View: 7011
These well-known and concise lecture notes present the fundamentals of the Lebesgue theory of integration and an introduction to some of the theory's applications. Suitable for advanced undergraduates and graduate students of mathematics, the treatment also covers topics of interest to practicing analysts. Author Harold Widom emphasizes the construction and properties of measures in general and Lebesgue measure in particular as well as the definition of the integral and its main properties. The notes contain chapters on the Lebesgue spaces and their duals, differentiation of measures in Euclidean space, and the application of integration theory to Fourier series.

A Beginner's Further Guide to Mathematical Logic

Principles and Applications (with Companion Media Pack)Fourth Edition of Rapid Prototyping Fourth Edition
Author: Raymond Smullyan
Publisher: World Scientific Publishing Company
ISBN: 9814733016
Category:
Page: 288
View: 1505
This is the final book written by the late great puzzle master and logician, Dr. Raymond Smullyan. This book is a sequel to my Beginner's Guide to Mathematical Logic. The previous volume deals with elements of propositional and first-order logic, contains a bit on formal systems and recursion, and concludes with chapters on Gödel's famous incompleteness theorem, along with related results. The present volume begins with a bit more on propositional and first-order logic, followed by what I would call a "fein" chapter, which simultaneously generalizes some results from recursion theory, first-order arithmetic systems, and what I dub a "decision machine." Then come five chapters on formal systems, recursion theory and metamathematical applications in a general setting. The concluding five chapters are on the beautiful subject of combinatory logic, which is not only intriguing in its own right, but has important applications to computer science. Argonne National Laboratory is especially involved in these applications, and I am proud to say that its members have found use for some of my results in combinatory logic. This book does not cover such important subjects as set theory, model theory, proof theory, and modern developments in recursion theory, but the reader, after studying this volume, will be amply prepared for the study of these more advanced topics. Request Inspection Copy

    • Mathematics

Lectures on the Coupling Method


Author: Torgny Lindvall
Publisher: Courier Corporation
ISBN: 048615324X
Category: Mathematics
Page: 272
View: 8874
Practical and easy-to-use reference progresses from simple to advanced topics, covering, among other topics, renewal theory, Markov chains, Poisson approximation, ergodicity, and Strassen's theorem. 1992 edition.