Proofs and Concepts The Fundamentals of Abstract Mathematics Dave Morris
Material type:
TextSeries: Open textbook libraryDistributor: Open Textbook Library Publisher: Dave Witte Morris, Joy Morris Description: 1 online resourceSubject(s): Mathematics -- TextbooksLOC classification: QA1QA37.3Online resources: Access online version | Item type | Current library | Call number | URL | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|
eBook
|
Online Access | QA1 (Browse shelf(Opens below)) | Link to resource | Available |
Part I. Introduction to Logic and Proofs -- 1. What is Logic? -- 2. Propositional Logic -- 3. Two-Column Proofs -- Part II. Sets and First-Order Logic -- 4. Sets, Subsets, and Predicates -- 5. Operations on Sets -- 6. First-Order Logic -- 7. Quantifier Proofs -- 8. Divisibility and Congruence -- Part III. Other Fundamental Concepts -- 9. Functions -- 10. Cardinality -- 11. Proof by Induction -- 12. Equivalence Relations
This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature high-school students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics.
Attribution-NonCommercial-ShareAlike
In English.
Description based on online resource
There are no comments on this title.