Sets For Mathematics
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Sets for Mathematics
Author | : F. William Lawvere,Robert Rosebrugh |
Publsiher | : Cambridge University Press |
Total Pages | : 280 |
Release | : 2003-01-27 |
Genre | : Mathematics |
ISBN | : 0521010608 |
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In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.
Numbers Sets and Axioms
Author | : A. G. Hamilton |
Publsiher | : Cambridge University Press |
Total Pages | : 272 |
Release | : 1982 |
Genre | : Mathematics |
ISBN | : 0521287618 |
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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.
The Foundations of Mathematics in the Theory of Sets
Author | : John P. Mayberry |
Publsiher | : Cambridge University Press |
Total Pages | : 454 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0521770343 |
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This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.
Conceptions of Set and the Foundations of Mathematics
Author | : Luca Incurvati |
Publsiher | : Cambridge University Press |
Total Pages | : 255 |
Release | : 2020-01-23 |
Genre | : History |
ISBN | : 9781108497824 |
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Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.
Introduction to the Theory of Sets
Author | : Joseph Breuer |
Publsiher | : Courier Corporation |
Total Pages | : 130 |
Release | : 2012-08-09 |
Genre | : Mathematics |
ISBN | : 9780486154879 |
Download Introduction to the Theory of Sets Book in PDF, Epub and Kindle
This undergraduate text develops its subject through observations of the physical world, covering finite sets, cardinal numbers, infinite cardinals, and ordinals. Includes exercises with answers. 1958 edition.
Discrete Mathematics
Author | : Oscar Levin |
Publsiher | : Createspace Independent Publishing Platform |
Total Pages | : 238 |
Release | : 2018-07-30 |
Genre | : Electronic Book |
ISBN | : 1724572636 |
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Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
Sets Logic and Maths for Computing
Author | : David Makinson |
Publsiher | : Springer Science & Business Media |
Total Pages | : 283 |
Release | : 2012-02-27 |
Genre | : Computers |
ISBN | : 9781447125006 |
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This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.
A Book of Set Theory
Author | : Charles C Pinter |
Publsiher | : Courier Corporation |
Total Pages | : 259 |
Release | : 2014-07-23 |
Genre | : Mathematics |
ISBN | : 9780486497082 |
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"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--