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1 Logic

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2 Proofs

• 1. Direct Proofs
• 2. Divisibility
• 3. Existence proofs
• 4. Induction
• 5. Uniqueness Arguments
• 6. Indirect Proof

3 Number Theory

• 1. Congruence
• 2. $\Z_n$
• 3. The Euclidean Algorithm
• 4. $\U_n$
• 5. The Fundamental Theorem of Arithmetic
• 6. The GCD and the LCM
• 7. The Chinese Remainder Theorem
• 8. The Euler Phi Function
• 9. The Phi Function—Continued
• 10. Wilson's Theorem and Euler's Theorem
• 11. Public Key Cryptography
• 12. Quadratic Reciprocity

4 Functions

• 1. Definition and Examples
• 2. Induced Set Functions
• 3. Injections and Surjections
• 4. More Properties of Injections and Surjections
• 5. Pseudo-Inverses
• 6. Bijections and Inverse Functions
• 7. Cardinality and Countability
• 8. Uncountability of the Reals
• 9. The Schröder-Bernstein Theorem
• 10. Cantor's Theorem

5 Relations

• 1. Equivalence Relations
• 2. Factoring Functions
• 3. Ordered Sets
• 4. New Orders from Old
• 5. Partial Orders and Power Sets
• 6. Countable total orders

6 Bibliography

Shockwave Plugin -

If you visit a random website today that asks you to "Download the Shockwave Plugin," you should immediately close that tab.

In the end, Shockwave was too powerful for its time and too heavy for the mobile web. It was the brontosaurus of the browser—a massive, impressive beast that couldn't evolve fast enough to survive the meteor of HTML5. shockwave plugin

Think of Flash as a cartoon and Shockwave as a video game console inside your browser. Shockwave was used for classics like Bejeweled , The Polar Bowler , and many old science textbooks on CD-ROM. If you visit a random website today that

Though you can no longer officially download the plugin, the spirit of Shockwave lives on. The shift toward and WebAssembly allows today’s developers to create 3D experiences in the browser that are far more powerful than anything Shockwave could have imagined—all without the need for a plugin. Think of Flash as a cartoon and Shockwave