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Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)
Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bertrand Russell
Publisher : W. W. Norton & Company
ISBN 13 : 9780393314045
Total Pages : 580 pages
Book Rating : 4.3/5 (14 download)
Download or read book The Principles of Mathematics written by Bertrand Russell and published by W. W. Norton & Company. This book was released on 1996 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical--that what is commonly called mathematics is simply later deductions from logical premises.
Author : Bradford Henry Arnold
Publisher : Courier Corporation
ISBN 13 : 0486483851
Total Pages : 163 pages
Book Rating : 4.4/5 (864 download)
Download or read book Logic and Boolean Algebra written by Bradford Henry Arnold and published by Courier Corporation. This book was released on 2011-01-01 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orignally published: Englewood Cliffs, N.J.: Prentice-Hall, 1962.
Author : Ken Levasseur
Publisher : Lulu.com
ISBN 13 : 1105559297
Total Pages : 574 pages
Book Rating : 4.1/5 (55 download)
Download or read book Applied Discrete Structures written by Ken Levasseur and published by Lulu.com. This book was released on 2012-02-25 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: ''In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach and move them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked. The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topcs in discrete mathematics. To provide diagnostic help and encouragement, we have included solutions and/or hints to the odd-numbered exercises. These solutions include detailed answers whenever warranted and complete proofs, not just terse outlines of proofs. Our use of standard terminology and notation makes Applied Discrete Structures a valuable reference book for future courses. Although many advanced books have a short review of elementary topics, they cannot be complete. The text is divided into lecture-length sections, facilitating the organization of an instructor's presentation.Topics are presented in such a way that students' understanding can be monitored through thought-provoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words. An Instructor's Guide is available to any instructor who uses the text. It includes: Chapter-by-chapter comments on subtopics that emphasize the pitfalls to avoid; Suggested coverage times; Detailed solutions to most even-numbered exercises; Sample quizzes, exams, and final exams. This textbook has been used in classes at Casper College (WY), Grinnell College (IA), Luzurne Community College (PA), University of the Puget Sound (WA).''--
Author : Ivo Düntsch
Publisher : Springer Nature
ISBN 13 : 3030714306
Total Pages : 591 pages
Book Rating : 4.0/5 (37 download)
Download or read book Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs written by Ivo Düntsch and published by Springer Nature. This book was released on 2021-09-24 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart’s work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell’s Collected Papers.
Author : Patrick Suppes
Publisher : Courier Corporation
ISBN 13 : 0486138054
Total Pages : 340 pages
Book Rating : 4.4/5 (861 download)
Download or read book Introduction to Logic written by Patrick Suppes and published by Courier Corporation. This book was released on 2012-07-12 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Louis Couturat
Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (34 download)
Download or read book The Algebra of Logic written by Louis Couturat and published by . This book was released on 1911 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Langer
Publisher : Courier Corporation
ISBN 13 : 9780486601649
Total Pages : 388 pages
Book Rating : 4.6/5 (16 download)
Download or read book An Introduction to Symbolic Logic written by Langer and published by Courier Corporation. This book was released on 1967-01-01 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : George Tourlakis
Publisher : Cambridge University Press
ISBN 13 : 9780521168489
Total Pages : 0 pages
Book Rating : 4.1/5 (684 download)
Download or read book Lectures in Logic and Set Theory: Volume 2, Set Theory written by George Tourlakis and published by Cambridge University Press. This book was released on 2011-07-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques provides a solid foundation in set theory and a thorough context for the presentation of advanced topics (such as absoluteness, relative consistency results, two expositions of Godel's construstive universe, numerous ways of viewing recursion and Cohen forcing).
Author : Terence Tao
Publisher : Springer
ISBN 13 : 9811017891
Total Pages : 366 pages
Book Rating : 4.8/5 (11 download)
Download or read book Analysis I written by Terence Tao and published by Springer. This book was released on 2016-08-29 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Author : J. Eldon Whitesitt
Publisher : Courier Corporation
ISBN 13 : 0486158160
Total Pages : 194 pages
Book Rating : 4.4/5 (861 download)
Download or read book Boolean Algebra and Its Applications written by J. Eldon Whitesitt and published by Courier Corporation. This book was released on 2012-05-24 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory treatment begins with set theory and fundamentals of Boolean algebra, proceeding to concise accounts of applications to symbolic logic, switching circuits, relay circuits, binary arithmetic, and probability theory. 1961 edition.
Author : George Boole
Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.F/5 ( download)
Download or read book An Investigation of the Laws of Thought written by George Boole and published by . This book was released on 1854 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Boole
Publisher : Courier Corporation
ISBN 13 : 0486488268
Total Pages : 514 pages
Book Rating : 4.4/5 (864 download)
Download or read book Studies in Logic and Probability written by George Boole and published by Courier Corporation. This book was released on 2012-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authoritative account of the development of Boole's ideas in logic and probability theory ranges from The Mathematical Analysis of Logic to the end of his career. The Laws of Thought formed the most systematic statement of Boole's theories; this volume contains incomplete studies intended for a follow-up volume. 1952 edition.
Author : Sam Vandervelde
Publisher : Lulu.com
ISBN 13 : 055750337X
Total Pages : 258 pages
Book Rating : 4.5/5 (575 download)
Download or read book Bridge to Higher Mathematics written by Sam Vandervelde and published by Lulu.com. This book was released on 2010 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging math textbook is designed to equip students who have completed a standard high school math curriculum with the tools and techniques that they will need to succeed in upper level math courses. Topics covered include logic and set theory, proof techniques, number theory, counting, induction, relations, functions, and cardinality.
Author : Robert R. Stoll
Publisher : Courier Corporation
ISBN 13 : 0486139646
Total Pages : 516 pages
Book Rating : 4.4/5 (861 download)
Download or read book Set Theory and Logic written by Robert R. Stoll and published by Courier Corporation. This book was released on 2012-05-23 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Alonzo Church
Publisher : Princeton University Press
ISBN 13 : 9780691029061
Total Pages : 396 pages
Book Rating : 4.0/5 (29 download)
Download or read book Introduction to Mathematical Logic written by Alonzo Church and published by Princeton University Press. This book was released on 1996 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic account of mathematical logic from a pioneering giant in the field Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and the theories of algorithms and computability laid the theoretical foundations of computer science. His first Princeton book, The Calculi of Lambda-Conversion (1941), established an invaluable tool that computer scientists still use today. Even beyond the accomplishment of that book, however, his second Princeton book, Introduction to Mathematical Logic, defined its subject for a generation. Originally published in Princeton's Annals of Mathematics Studies series, this book was revised in 1956 and reprinted a third time, in 1996, in the Princeton Landmarks in Mathematics series. Although new results in mathematical logic have been developed and other textbooks have been published, it remains, sixty years later, a basic source for understanding formal logic. Church was one of the principal founders of the Association for Symbolic Logic; he founded the Journal of Symbolic Logic in 1936 and remained an editor until 1979. At his death in 1995, Church was still regarded as the greatest mathematical logician in the world.
Author : Vladimir Lepetic
Publisher : John Wiley & Sons
ISBN 13 : 1119131650
Total Pages : 672 pages
Book Rating : 4.1/5 (191 download)
Download or read book Principles of Mathematics written by Vladimir Lepetic and published by John Wiley & Sons. This book was released on 2015-11-30 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra. The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking. Maintaining a useful balance of introductory coverage and mathematical rigor, Principles of Mathematics: A Primer features: Detailed explanations of important theorems and their applications Hundreds of completely solved problems throughout each chapter Numerous exercises at the end of each chapter to encourage further exploration Discussions of interesting and provocative issues that spark readers’ curiosity and facilitate a better understanding and appreciation of the field of mathematics Principles of Mathematics: A Primer is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences.
