An edition of Blast Into Math!
(2013)
Blast Into Math!
by Julie Rowlett
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Blast into Math! A fun rigorous introduction to pure mathematics which is suitable for both students and a general audience interested in learning what pure mathematics is all about. Pure mathematics is presented in a friendly, accessible, and nonetheless rigorous style.
You can download the book for free via the link below.
Publish Date
2013
Publisher
Bookboon
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Book Details
Table of Contents
Preface
To the reader
Pure mathematics: the proof of the pudding is in the eating
A universal language
Theorems, propositions, and lemmas
Logic
Ready? Set? Prove!
Exercises
Examples and hints
Sets of numbers: mathematical playgrounds
Set theory
Numbers
The least upper bound property
Proof by induction
Exercises
Examples and hints
The Euclidean algorithm: a computational recipe
Division
Greatest common divisors
Proof of the Euclidean Algorithm
Greatest common divisors in disguise
Exercises
Examples and hints
Prime numbers: indestructible building blocks
Ingredients in the proof of the Fundamental Theorem of Arithmetic
Unique prime factorization: the Fundamental Theorem of Arithmetic
How many primes are there?
Counting infinity
Exercises
Examples and hints
Mathematical perspectives: all your base are belong to us
Number bases: infinitely many mathematical perspectives
Fractions in bases
Exercises
Examples and hints
Analytic number theory: ants, ghosts and giants
Sequences: mathematical ants
Real numbers and friendly rational numbers
Series: a tower of mathematical ants
Decimal expansions
The Prime Number Theorem
Exercises
Examples and hints
Afterword
Bibliography
Edition Identifiers
Work Identifiers
Links outside Open Library
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History
- Created April 12, 2016
- 4 revisions
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| August 22, 2020 | Edited by ISBNbot2 | normalize ISBN |
| April 12, 2016 | Edited by Alice Kirk | Edited without comment. |
| April 12, 2016 | Edited by Alice Kirk | Added new cover |
| April 12, 2016 | Created by Alice Kirk | Added new book. |