About this book
Introduction
This book is dedicated to preparing prospective college students for the study of mathematics.
It can be used at the end of high school or during the first year of college, for personal study or for introductory courses. It aims to set a meeting between two relatives who rarely speak to each other: the Mathematics of Beauty, which shows up in some popular books and films, and the Mathematics of Toil, which is widely known. Toil can be overcome through an appropriate method of work. Beauty will be found in the achievement of a way of thinking.
The first part concerns the mathematical language: the expressions “for all”, “there exists”, “implies”, “is false”, ...; what is a proof by contradiction; how to use indices, sums, induction.
The second part tackles specific difficulties: to study a definition, to understand an idea and apply it, to fix a slightly wrong argument, to discuss suggestions, to explain a proof.
The third part presents customary techniques and points of view in college mathematics.
The reader can choose one of three difficulty levels (A, B, C).
Keywords
Bibliographic information
 Book Title Studying Mathematics
 Book Subtitle The Beauty, the Toil and the Method

Authors
Marco Bramanti
Giancarlo Travaglini
 DOI https://doi.org/10.1007/9783319913551
 Copyright Information Springer International Publishing AG, part of Springer Nature 2018
 Publisher Name Springer, Cham
 eBook Packages Education Education (R0)
 Hardcover ISBN 9783319913544
 Softcover ISBN 9783030082345
 eBook ISBN 9783319913551
 Edition Number 1
 Number of Pages XVII, 398
 Number of Illustrations 129 b/w illustrations, 11 illustrations in colour

Topics
Mathematics Education
Learning & Instruction
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