Logic Sets And Numbers
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Logic Sets And Numbers
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Author : Louis F. Roethel
language : en
Publisher:
Release Date : 1972
Logic Sets And Numbers written by Louis F. Roethel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.
Logic Sets And Numbers
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Author : Louis F. Roethel
language : en
Publisher:
Release Date : 1983
Logic Sets And Numbers written by Louis F. Roethel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.
Elements Of Logic Via Numbers And Sets
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Author : D.L. Johnson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Elements Of Logic Via Numbers And Sets written by D.L. Johnson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a formal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs. Dave Johnson has drawn from his considerable experience to provide a text that concentrates on the most important elements of the subject using clear, simple explanations that require no background knowledge of logic. It gives many useful examples and problems, many with fully-worked solutions at the end of the book. In addition to a comprehensive index, there is also a useful `Dramatis Personae` an index to the many symbols introduced in the text, most of which will be new to students and which will be used throughout their degree programme.
A Formal Background To Mathematics
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Author : R. E. Edwards
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-18
A Formal Background To Mathematics written by R. E. Edwards and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-18 with Mathematics categories.
§1 Faced by the questions mentioned in the Preface I was prompted to write this book on the assumption that a typical reader will have certain characteristics. He will presumably be familiar with conventional accounts of certain portions of mathematics and with many so-called mathematical statements, some of which (the theorems) he will know (either because he has himself studied and digested a proof or because he accepts the authority of others) to be true, and others of which he will know (by the same token) to be false. He will nevertheless be conscious of and perturbed by a lack of clarity in his own mind concerning the concepts of proof and truth in mathematics, though he will almost certainly feel that in mathematics these concepts have special meanings broadly similar in outward features to, yet different from, those in everyday life; and also that they are based on criteria different from the experimental ones used in science. He will be aware of statements which are as yet not known to be either true or false (unsolved problems). Quite possibly he will be surprised and dismayed by the possibility that there are statements which are "definite" (in the sense of involving no free variables) and which nevertheless can never (strictly on the basis of an agreed collection of axioms and an agreed concept of proof) be either proved or disproved (refuted).
A Formal Background To Mathematics
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Author : Robert E. Edwards
language : en
Publisher:
Release Date : 1979
A Formal Background To Mathematics written by Robert E. Edwards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Logic Sets And Numbers
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Author : Frank Blume
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-07-19
Logic Sets And Numbers written by Frank Blume and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-19 with categories.
Logic, Sets, and Numbers is a brief introduction to abstract mathematics that is meant to familiarize the reader with the formal and conceptual rigor that higher-level undergraduate and graduate textbooks commonly employ. Beginning with formal logic and a fairly extensive discussion of concise formulations of mathematical statements, the text moves on to cover general patterns of proofs, elementary set theory, mathematical induction, cardinality, as well as, in the final chapter, the creation of the various number systems from the integers up to the complex numbers. On the whole, the book's intent is not only to reveal the nature of mathematical abstraction, but also its inherent beauty and purity.
Numbers Sets And Axioms
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Author : A. G. Hamilton
language : en
Publisher: Cambridge University Press
Release Date : 1982
Numbers Sets And Axioms written by A. G. Hamilton and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required.
Logic Sets And Numbers
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Author : R. Edwards
language : en
Publisher:
Release Date : 1980
Logic Sets And Numbers written by R. Edwards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Mathematical Logic
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Author : Roman Kossak
language : en
Publisher: Springer Nature
Release Date :
Mathematical Logic written by Roman Kossak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Set Theory And Foundations Of Mathematics An Introduction To Mathematical Logic Volume I Set Theory
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Author : Douglas Cenzer
language : en
Publisher: World Scientific
Release Date : 2020-04-04
Set Theory And Foundations Of Mathematics An Introduction To Mathematical Logic Volume I Set Theory written by Douglas Cenzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-04 with Mathematics categories.
This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate students to help them prepare for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra.The book is designed as a flexible and accessible text for a one-semester introductory course in set theory, where the existing alternatives may be more demanding or specialized. Readers will learn the universally accepted basis of the field, with several popular topics added as an option. Pointers to more advanced study are scattered throughout the text.