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Sets for Mathematics

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Release : 2003-01-27
Genre : Mathematics
Kind : eBook
Book Rating : 603/5 ( reviews)

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Book Synopsis Sets for Mathematics by : F. William Lawvere

Download or read book Sets for Mathematics written by F. William Lawvere. This book was released on 2003-01-27. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Release : 1982
Genre : Mathematics
Kind : eBook
Book Rating : 616/5 ( reviews)

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Book Synopsis Numbers, Sets and Axioms by : A. G. Hamilton

Download or read book Numbers, Sets and Axioms written by A. G. Hamilton. This book was released on 1982. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Principles of Mathematics Book 1 Set

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Release : 2016-09-02
Genre :
Kind : eBook
Book Rating : 141/5 ( reviews)

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Book Synopsis Principles of Mathematics Book 1 Set by : Katherine Loop

Download or read book Principles of Mathematics Book 1 Set written by Katherine Loop. This book was released on 2016-09-02. Available in PDF, EPUB and Kindle. Book excerpt: Katherine Loop has done the remarkable! She has written a solid math course with a truly Biblical worldview. This course goes way beyond the same old Christian math course that teaches math with a few Scriptures sprinkled in and maybe some church-based word problems. This course truly transforms the way we see math. Katherine makes the argument that math is not a neutral subject as most have come to believe. She carefully lays the foundation of how math points to our Creator, the God of the Bible. The nature of God, His Creation, and even the Gospel itself is seen through the study of math. Katherine does a marvelous job of revealing His Glory in this one-of-a-kind math course. Katherine Loop's Principles of Mathematics Biblical Worldview Curriculum is a first of its kind. It takes math to a whole new level students and parents are going to love. It is a guaranteed faith grower!

The Foundations of Mathematics in the Theory of Sets

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Author :
Release : 2000
Genre : Mathematics
Kind : eBook
Book Rating : 347/5 ( reviews)

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Book Synopsis The Foundations of Mathematics in the Theory of Sets by : John P. Mayberry

Download or read book The Foundations of Mathematics in the Theory of Sets written by John P. Mayberry. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.

Sets, Logic and Maths for Computing

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Release : 2012-02-27
Genre : Computers
Kind : eBook
Book Rating : 002/5 ( reviews)

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Book Synopsis Sets, Logic and Maths for Computing by : David Makinson

Download or read book Sets, Logic and Maths for Computing written by David Makinson. This book was released on 2012-02-27. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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