An Introduction to Mathematical Proofs
An Introduction to Mathematical Proofs (Textbooks in Mathematics) by Nicholas A. Loehr
English | October 11, 2019 | ISBN: 0367338238 | True EPUB | 396 pages | 5 MB
English | October 11, 2019 | ISBN: 0367338238 | True EPUB | 396 pages | 5 MB
An Introduction to Mathematical Proofspresents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics. No prerequisites are needed beyond high-school algebra.
New material is presented in small chunks that are easy for beginners to digest. The author offers a friendly style without sacrificing mathematical rigor. Ideas are developed through motivating examples, precise definitions, carefully stated theorems, clear proofs, and a continual review of preceding topics.
Features
- Study aids including section summaries and over 1100 exercises
- Careful coverage of individual proof-writing skills
- Proof annotations and structural outlines clarify tricky steps in proofs
- Thorough treatment of multiple quantifiers and their role in proofs
- Unified explanation of recursive definitions and induction proofs, with applications to greatest common divisors and prime factorizations