A Beginners Further Guide To Mathematical Logic
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Author | : Raymond M. Smullyan |
Publisher | : Courier Corporation |
Total Pages | : 292 |
Release | : 2014-03-19 |
Genre | : Mathematics |
ISBN | : 0486782972 |
Combining stories of great writers and philosophers with quotations and riddles, this original text for first courses in mathematical logic examines problems related to proofs, propositional logic and first-order logic, undecidability, and other topics. 2014 edition.
Author | : Richard E. Hodel |
Publisher | : Courier Corporation |
Total Pages | : 514 |
Release | : 2013-01-01 |
Genre | : Mathematics |
ISBN | : 0486497852 |
This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.
Author | : Howard DeLong |
Publisher | : Courier Corporation |
Total Pages | : 322 |
Release | : 2012-09-26 |
Genre | : Mathematics |
ISBN | : 0486139158 |
This introduction to mathematical logic explores philosophical issues and Gödel's Theorem. Its widespread influence extends to the author of Gödel, Escher, Bach, whose Pulitzer Prize–winning book was inspired by this work.
Author | : Raymond M Smullyan |
Publisher | : World Scientific Publishing Company |
Total Pages | : 288 |
Release | : 2016-11-11 |
Genre | : Mathematics |
ISBN | : 9814733016 |
'A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.'The Mathematical GazetteThis 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.
Author | : Joseph Mileti |
Publisher | : Cambridge University Press |
Total Pages | : 517 |
Release | : 2022-09-22 |
Genre | : Mathematics |
ISBN | : 1108833144 |
This textbook gives a comprehensive and modern introduction to mathematical logic at the upper-undergraduate and beginning graduate level.
Author | : Herbert B. Enderton |
Publisher | : Elsevier |
Total Pages | : 330 |
Release | : 2001-01-23 |
Genre | : Computers |
ISBN | : 0080496466 |
A Mathematical Introduction to Logic
Author | : Wolfgang Rautenberg |
Publisher | : Springer |
Total Pages | : 337 |
Release | : 2010-07-01 |
Genre | : Mathematics |
ISBN | : 1441912215 |
Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.
Author | : Patrick Suppes |
Publisher | : Courier Corporation |
Total Pages | : 308 |
Release | : 2012-04-30 |
Genre | : Mathematics |
ISBN | : 0486150941 |
Rigorous introduction is simple enough in presentation and context for wide range of students. Symbolizing sentences; logical inference; truth and validity; truth tables; terms, predicates, universal quantifiers; universal specification and laws of identity; more.
Author | : Alfred Tarski |
Publisher | : Courier Corporation |
Total Pages | : 271 |
Release | : 2013-07-04 |
Genre | : Mathematics |
ISBN | : 0486318893 |
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.
Author | : W.D. Wallis |
Publisher | : Springer Science & Business Media |
Total Pages | : 436 |
Release | : 2011-10-07 |
Genre | : Mathematics |
ISBN | : 0817682864 |
Wallis's book on discrete mathematics is a resource for an introductory course in a subject fundamental to both mathematics and computer science, a course that is expected not only to cover certain specific topics but also to introduce students to important modes of thought specific to each discipline . . . Lower-division undergraduates through graduate students. —Choice reviews (Review of the First Edition) Very appropriately entitled as a 'beginner's guide', this textbook presents itself as the first exposure to discrete mathematics and rigorous proof for the mathematics or computer science student. —Zentralblatt Math (Review of the First Edition) This second edition of A Beginner’s Guide to Discrete Mathematics presents a detailed guide to discrete mathematics and its relationship to other mathematical subjects including set theory, probability, cryptography, graph theory, and number theory. This textbook has a distinctly applied orientation and explores a variety of applications. Key Features of the second edition: * Includes a new chapter on the theory of voting as well as numerous new examples and exercises throughout the book * Introduces functions, vectors, matrices, number systems, scientific notations, and the representation of numbers in computers * Provides examples which then lead into easy practice problems throughout the text and full exercise at the end of each chapter * Full solutions for practice problems are provided at the end of the book This text is intended for undergraduates in mathematics and computer science, however, featured special topics and applications may also interest graduate students.