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A Transition to Mathematics with Proofs by Michael J. Cullinane, 782, available at Book Depository with free delivery worldwide. Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares students for the more abstract mathematics courses that follow calculus.Appropriate for self-study or for use in the classroom, this text introduces students to proof techniques, analyzing proofs, and writing proofs of their own. Download torrent application for mac.
Chapter 1
Logic And Proofs
| 1-1 | Prepositions and Connectives | Exercises | p.7 |
| 1-2 | Conditionals and Biconditionals | Exercises | p.15 |
| 1-3 | Quantified Statements | Exercises | p.26 |
| 1-4 | Basic Proofs Method I | Exercises | p.38 |
| 1-5 | Basic Proof Methods II | Exercises | p.48 |
| 1-6 | Proofs Involving Quantifiers | Exercises | p.60 |
| 1-7 | Strategies for Constructing Proofs | Exercises | p.72 |
| 1-8 | Proofs from number Theory | Exercises | p.81 |
Chapter 2
Sets And Induction
| 2-1 | Basic Concepts of Set Theory | Exercises | p.91 |
| 2-2 | Set Operations | Exercises | p.101 |
| 2-3 | Indexed Families of Sets | Exercises | p.110 |
| 2-4 | Mathematical Induction | Exercises | p.123 |
| 2-5 | Equivalent Forms of Induction | Exercises | p.133 |
| 2-6 | Principles of Counting | Exercises | p.147 |
A Transition To Mathematics With Proofs Cullinane Download Torrent Pdf
Chapter 3
Relations And Partitions
| 3-1 | Relations | Exercises | p.160 |
| 3-2 | Equivalence Relations | Exercises | p.171 |
| 3-3 | Partitions | Exercises | p.179 |
| 3-4 | Modular Arithmetic | Exercises | p.186 |
| 3-5 | Ordering Relations | Exercises | p.196 |
Chapter 4
A Transition To Mathematics With Proofs Cullinane Download Torrent 2017
Functions
| 4-1 | Functions as Relations | Exercises | p.209 |
| 4-2 | Construction of Functions | Exercises | p.218 |
| 4-3 | Functions That are Onto; One-to-One Functions | Exercises | p.227 |
| 4-4 | Inverse Functions | Exercises | p.236 |
| 4-5 | Set Images | Exercises | p.241 |
| 4-6 | Sequences | Exercises | p.248 |
| 4-7 | Limits and Continuity of Real Functions | Exercises | p.257 |
Chapter 5
Cardinality
| 5-1 | Equivalent Sets; Finite Sets | Exercises | p.268 |
| 5-2 | Infinite Sets | Exercises | p.277 |
| 5-3 | Countable Sets | Exercises | p.284 |
| 5-4 | The Ordering of Cardinal Numbers | Exercises | p.293 |
| 5-5 | Comparability and the Axiom of Choice | Exercises | p.300 |
Chapter 6
Concepts Of Algebra
| 6-1 | Algebraic Structures | Exercises | p.309 |
| 6-2 | Groups | Exercises | p.317 |
| 6-3 | Subgroups | Exercises | p.324 |
| 6-4 | Operation Preserving Maps | Exercises | p.331 |
| 6-5 | Rings and Fields | Exercises | p.339 |
Chapter 7
Concepts Of Analysis
A Transition To Mathematics With Proofs Cullinane Download Torrent Free
| 7-1 | The Completeness Property | Exercises | p.349 |
| 7-2 | The Heine-Borel Theorem | Exercises | p.360 |
| 7-3 | The Bolzano-Weierstrass Theorem | Exercises | p.366 |
| 7-4 | The Bounded Monotone Sequence Theorem | Exercises | p.372 |
| 7-5 | Equivalents of Completeness | Exercises | p.377 |