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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

Thewitchercom -

serves as the official online hub for The Witcher franchise, a massive media intellectual property (IP) owned by CD Projekt Red. While the franchise originated in literature, the domain now acts as the central nexus for three distinct pillars: the original book series by Andrzej Sapkowski, the critically acclaimed video game trilogy, and the Netflix television adaptation.

Since CD Projekt Red first unleashed Geralt of Rivia onto the gaming world in 2007, has served as the digital bedrock for one of the most successful media franchises in history. What started as a modest promotional site for a niche Polish RPG has transformed into a sprawling multimedia hub that bridges the gap between Andrzej Sapkowski’s novels, the blockbuster video game trilogy, and the global Netflix phenomenon. The Digital Heart of the Franchise thewitchercom

TheWitcher.com was first launched in 2008 by a group of fans who were passionate about the Witcher book series by Polish author Andrzej Sapkowski. The website was initially created as a forum for fans to discuss the books, share information, and connect with one another. At the time, the website was a simple, text-based platform with a small but dedicated community of users. serves as the official online hub for The

Stay informed about the latest Witcher news, updates, and releases. Get notified about: What started as a modest promotional site for