دانلود کتاب Mathematics : A Minimal Introduction

Front Cover; Contents; Preface; Introduction; Part 1. Pre-mathematical logic; Chapter 1. Languages; Chapter 2. Metalanguage; Chapter 3. Syntax; Chapter 4. Semantics; Chapter 5. Tautologies; Chapter 6. Witnesses; Chapter 7. Theories; Chapter 8. Proofs; Chapter 9. Argot; Chapter 10. Strategies; Chapter 11. Examples; Part 2. Mathematics; Chapter 12. ZFC; Chapter 13. Sets; Chapter 14. Maps; Chapter 15. Relations; Chapter 16. Operations; Chapter 17. Integers; Chapter 18. Induction; Chapter 19. Rationals; Chapter 20. Combinatorics; Chapter 21. Sequences; Chapter 22. Reals; Chapter 23. Topology.Chapter 24. ImaginariesChapter 25. Residues; Chapter 26. p-adics; Chapter 27. Groups; Chapter 28. Orders; Chapter 29. Vectors; Chapter 30. Matrices; Chapter 31. Determinants; Chapter 32. Polynomials; Chapter 33. Congruences; Chapter 34. Lines; Chapter 35. Conics; Chapter 36. Cubics; Chapter 37. Limits; Chapter 38. Series; Chapter 39. Trigonometry; Chapter 40. Integrality; Chapter 41. Reciprocity; Chapter 42. Calculus; Chapter 43. Metamodels; Chapter 44. Categories; Chapter 45. Functors; Chapter 46. Objectives; Part 3. Mathematical logic; Chapter 47. Models; Chapter 48. Incompleteness.Pre-Mathematical Logic Languages Metalanguage Syntax Semantics Tautologies Witnesses Theories Proofs Argot Strategies Examples Mathematics ZFC Sets Maps Relations Operations Integers Induction Rationals Combinatorics Sequences Reals Topology Imaginaries Residues p-adics Groups Orders Vectors Matrices Determinants Polynomials Congruences Lines Conics Cubics Limits Series Trigonometry Integrality Reciprocity Calculus Metamodels Categories Functors Objectives Mathematical Logic Models Incompleteness Bibliography Index. Read more... Abstract: Front Cover; Contents; Preface; Introduction; Part 1. Pre-mathematical logic; Chapter 1. Languages; Chapter 2. Metalanguage; Chapter 3. Syntax; Chapter 4. Semantics; Chapter 5. Tautologies; Chapter 6. Witnesses; Chapter 7. Theories; Chapter 8. Proofs; Chapter 9. Argot; Chapter 10. Strategies; Chapter 11. Examples; Part 2. Mathematics; Chapter 12. ZFC; Chapter 13. Sets; Chapter 14. Maps; Chapter 15. Relations; Chapter 16. Operations; Chapter 17. Integers; Chapter 18. Induction; Chapter 19. Rationals; Chapter 20. Combinatorics; Chapter 21. Sequences; Chapter 22. Reals; Chapter 23. Topology.Chapter 24. ImaginariesChapter 25. Residues; Chapter 26. p-adics; Chapter 27. Groups; Chapter 28. Orders; Chapter 29. Vectors; Chapter 30. Matrices; Chapter 31. Determinants; Chapter 32. Polynomials; Chapter 33. Congruences; Chapter 34. Lines; Chapter 35. Conics; Chapter 36. Cubics; Chapter 37. Limits; Chapter 38. Series; Chapter 39. Trigonometry; Chapter 40. Integrality; Chapter 41. Reciprocity; Chapter 42. Calculus; Chapter 43. Metamodels; Chapter 44. Categories; Chapter 45. Functors; Chapter 46. Objectives; Part 3. Mathematical logic; Chapter 47. Models; Chapter 48. Incompleteness.Pre-Mathematical Logic Languages Metalanguage Syntax Semantics Tautologies Witnesses Theories Proofs Argot Strategies Examples Mathematics ZFC Sets Maps Relations Operations Integers Induction Rationals Combinatorics Sequences Reals Topology Imaginaries Residues p-adics Groups Orders Vectors Matrices Determinants Polynomials Congruences Lines Conics Cubics Limits Series Trigonometry Integrality Reciprocity Calculus Metamodels Categories Functors Objectives Mathematical Logic Models Incompleteness Bibliography Index