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| + | Georg Cantor called a set a collection of objects. This simple idea was so profound that it has become the foundation of every branch of mathematics. Cantor's theories became an important tool that allowed mathematicians to precisely define concepts such as real numbers, points in space, and continuous functions. In addition, Cantor's theory of sets provided a startling insight into the nature of infinity and among them was the fact that some infinite magnitudes are larger than others. We will explore this idea more deeply in this section of the tutorial by studying the following topics | ||
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| + | * [[Math_Squad_infinity_review_of_set_theory_function_mhossain_S13|Functions]] | ||
| + | * Countability | ||
| + | * Cardinality | ||
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| + | ---- | ||
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| + | == References == | ||
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| + | * Lewin | ||
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| + | ---- | ||
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| + | =Questions and comments= | ||
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| + | If you have any questions, comments, etc. please post them below: | ||
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| + | *Comment / question 1 | ||
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| + | ---- | ||
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| + | [[Math_squad|Back to Math Squad page]] | ||
Revision as of 09:40, 16 May 2013
- ↳ To Infinity and Beyond. Introduction
- ↳ Review of Set Theory
- ↳ Functions
- ↳ Countability
- ↳ Cardinality
- ↳ Hilbert's Grand Hotel
- ↳ Review of Set Theory
To Infinity and Beyond
A Review of Set Theory
by Maliha Hossain, proud member of the Math Squad
Georg Cantor called a set a collection of objects. This simple idea was so profound that it has become the foundation of every branch of mathematics. Cantor's theories became an important tool that allowed mathematicians to precisely define concepts such as real numbers, points in space, and continuous functions. In addition, Cantor's theory of sets provided a startling insight into the nature of infinity and among them was the fact that some infinite magnitudes are larger than others. We will explore this idea more deeply in this section of the tutorial by studying the following topics
- Functions
- Countability
- Cardinality
References
- Lewin
Questions and comments
If you have any questions, comments, etc. please post them below:
- Comment / question 1
