Studying Mathematics The Beauty, the Toil and the Method /
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:...
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| Hlavní autor: | |
|---|---|
| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Cham :
Springer International Publishing,
2018.
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| Vydání: | 1st ed. 2018. |
| Témata: | |
| ISBN: | 9783319913551 |
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| 007 | cr nn 008mamaa | ||
| 008 | 180723s2018 gw | s |||| 0|eng d | ||
| 020 | |a 9783319913551 | ||
| 024 | 7 | |a 10.1007/978-3-319-91355-1 |2 doi | |
| 035 | |a CVTIDW14406 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Bramanti, Marco. |4 aut | |
| 245 | 1 | 0 | |a Studying Mathematics |h [electronic resource] : |b The Beauty, the Toil and the Method / |c by Marco Bramanti, Giancarlo Travaglini. |
| 250 | |a 1st ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a XVII, 398 p. 140 illus., 11 illus. in color. |b online resource. | ||
| 500 | |a Education | ||
| 505 | 0 | |a Part 1. The Language of Mathematics -- A Few Ambiguities of Everyday Language -- To represent by Sets -- Propositions and Properties -- Proofs, Implications and Counterexamples -- Negations and Indirect Proofs -- Formulae and Indices -- Saturation of Indices and Syntactic Consistency of a Formula -- Induction and Natural Numbers -- Part 2. The Study of a Mathematical Book -- To Read a Definition -- To Understand, i.e. to Know How to Reuse -- To Learn How to Correct -- To Sift the Ideas -- To Understand, i.e. to Know How to Explain -- Part 3. Pages and Ideas -- Majorizations -- Uniqueness Proofs (Level B) -- Functions and Set Theoretic Arguments -- Tiles, Polyhedra, Characterizations -- Index. . | |
| 516 | |a text file PDF | ||
| 520 | |a 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). | ||
| 650 | 0 | |a Mathematics-Study and teaching . | |
| 650 | 0 | |a Learning. | |
| 650 | 0 | |a Instruction. | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-319-91355-1 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE11686 | ||
| 919 | |a 978-3-319-91355-1 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
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| 999 | |c 244891 |d 244891 | ||