Mathematics PDF
By:Alexandru Buium
Published on 2013-11-14 by CRC Press
Bridging the gap between procedural mathematics that emphasizes calculations and conceptual mathematics that focuses on ideas, Mathematics: A Minimal Introduction presents an undergraduate-level introduction to pure mathematics and basic concepts of logic. The author builds logic and mathematics from scratch using essentially no background except natural language. He also carefully avoids circularities that are often encountered in related books and places special emphasis on separating the language of mathematics from metalanguage and eliminating semantics from set theory. The first part of the text focuses on pre-mathematical logic, including syntax, semantics, and inference. The author develops these topics entirely outside the mathematical paradigm. In the second part, the discussion of mathematics starts with axiomatic set theory and ends with advanced topics, such as the geometry of cubics, real and p-adic analysis, and the quadratic reciprocity law. The final part covers mathematical logic and offers a brief introduction to model theory and incompleteness. Taking a formalist approach to the subject, this text shows students how to reconstruct mathematics from language itself. It helps them understand the mathematical discourse needed to advance in the field.
This Book was ranked at 12 by Google Books for keyword mathematics symbol.
Book ID of Mathematics's Books is uX36AQAAQBAJ, Book which was written byAlexandru Buiumhave ETAG "X0SDBhyOM8M"
Book which was published by CRC Press since 2013-11-14 have ISBNs, ISBN 13 Code is 9781482216004 and ISBN 10 Code is 1482216000
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Book which have "208 Pages" is Printed at BOOK under CategoryMathematics
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