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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

Best James Bond Movies In Order May 2026

11. The Man with the Golden Gun (1974) – Half-bad, half-genius. Christopher Lee as Scaramanga (third nipple, golden gun, funhouse duel). The sole reason to watch.

10. For Your Eyes Only (1981) – Moore gets serious again. Climbing a Greek cliff, the 2CV chase, and a poignant ending at his wife’s grave. The most realistic Moore film. best james bond movies in order

3. Casino Royale (2006) – Rebooted Bond as brutal, vulnerable, and lovestruck. The parkour chase and torture scene reinvented 21st-century masculinity. The sole reason to watch

, watch in this order instead of release: Casino Royale → From Russia with Love → Goldfinger → On Her Majesty’s Secret Service → The Spy Who Loved Me → Licence to Kill → GoldenEye → Skyfall Climbing a Greek cliff, the 2CV chase, and

12. No Time to Die (2021) – Flawed but ballsy. Bond dies. Malek’s villain is weak, but the Cuba sequence and Ana de Armas’s cameo are electric.

8. You Only Live Twice (1967) – Ridiculous? Yes. But ninjas, a volcano lair, and Little Nellie the autogyro. Connery’s last great performance (until he returned tired).

9. Skyfall (2012) – Mendes turned Bond into a daddy-issue drama. The London underground horse chase and Scottish manor siege are stunning. Silva’s homoerotic menace is unmatched.