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 via the link below.
Publish Date
2013
Publisher
Bookboon.com
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Book Details
Table of Contents
Content
Preface
1. To the reader
2. Pure mathematics: the proof of the pudding is in the eating
2.1. A universal language
2.2. Theorems, propositions, and lemmas
2.3. Logic
2.4. Ready? Set? Prove!
2.5. Exercises
2.6. Examples and hints
3. Sets of numbers: mathematical playgrounds
3.1. Set theory
3.2. Numbers
3.3. The least upper bound property
3.4. Proof by induction
3.5. Exercises
3.6. Examples and hints
4. The Euclidean algorithm: a computational recipe
4.1. Division
4.2. Greatest common divisors
4.3. Proof of the Euclidean Algorithm
4.4. Greatest common divisors in disguise
4.5. Exercises
4.6. Examples and hints
5. Prime numbers: indestructible building blocks
5.1. Ingredients in the proof of the Fundamental Theorem of Arithmetic
5.2. Unique prime factorization: the Fundamental Theorem of Arithmetic
5.3. How many primes are there?
5.4. Counting infinity
5.5. Exercises
5.6. Examples and hints
6. Mathematical perspectives: all your base are belong to us
6.1. Number bases: infinitely many mathematical perspectives
6.2. Fractions in bases
6.3. Exercises
6.4. Examples and hints
7. Analytic number theory: ants, ghosts and giants
7.1. Sequences: mathematical ants
7.2. Real numbers and friendly rational numbers
7.3. Series: a tower of mathematical ants
7.4. Decimal expansions
7.5. The Prime Number Theorem
7.6. Exercises
7.7. Examples and hints
8. Afterword
9. Bibliography
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History
- Created June 25, 2015
- 4 revisions
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| August 22, 2020 | Edited by ISBNbot2 | normalize ISBN |
| June 25, 2015 | Edited by Alice Kirk | Edited without comment. |
| June 25, 2015 | Edited by Alice Kirk | Added new cover |
| June 25, 2015 | Created by Alice Kirk | Added new book. |