A Beginners 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 | : Patrick Suppes |
Publisher | : Courier Corporation |
Total Pages | : 340 |
Release | : 2012-07-12 |
Genre | : Mathematics |
ISBN | : 0486138054 |
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.
Author | : Stephen Cole Kleene |
Publisher | : Courier Corporation |
Total Pages | : 436 |
Release | : 2013-04-22 |
Genre | : Mathematics |
ISBN | : 0486317072 |
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.
Author | : P. D. Magnus |
Publisher | : |
Total Pages | : 0 |
Release | : 2023 |
Genre | : Logic |
ISBN | : |
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.
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 | : 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 | : Christopher C. Leary |
Publisher | : Lulu.com |
Total Pages | : 382 |
Release | : 2015 |
Genre | : Computers |
ISBN | : 1942341075 |
At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.