An excursion through elementary mathematics. Volume I, Real numbers and functions / Antonio Caminha Muniz Neto.

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An excursion through elementary mathematics. Volume I, Real numbers and functions / Antonio Caminha Muniz Neto.

9783319538716 (electronic book)
3319538713 (electronic book)
9783319538709
3319538705

Cham, Switzerland : Springer, 2017.

English

1 online resource (xiii, 652 pages) : illustrations.

10.1007/978-3-319-53871-6 doi

QA241

512.7/86

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This first volume covers Real Numbers, Functions, Real Analysis, Systems of Equations, Limits and Derivatives, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.

Includes bibliographical references and index.

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text file PDF

Online resource; title from PDF title page (SpringerLink, viewed April 10, 2017).

Problem books in mathematics.

Print version: 3319538705

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