Fundamental Concepts of Mathematics

Fundamental Concepts of Mathematics

Publisher: University of Massachusetts
Number of pages: 69

Contents: Problem Solving, Inductive vs. Deductive Reasoning, An introduction to Proofs; Logic and Sets; Sets and Maps; Counting Principles and Finite Sets; (Equivalence) Relations and Partitions; Induction; Number Theory; Counting and Uncountability; Complex Numbers.

Home page url

Download or read it online for free here:
Download link
(500KB, PDF)

Similar books

Book cover: Proof in Mathematics: An IntroductionProof in Mathematics: An Introduction
by - Kew Books
This is a small (98 page) textbook designed to teach mathematics and computer science students the basics of how to read and construct proofs. The book takes a straightforward, no nonsense approach to explaining the core technique of mathematics.
Book cover: Proofs in MathematicsProofs in Mathematics
by - Interactive Mathematics Miscellany and Puzzles
I'll distinguish between two broad categories. The first is characterized by simplicity. In the second group the proofs will be selected mainly for their charm. Most of the proofs in this book should be accessible to a middle grade school student.
Book cover: A Introduction to Proofs and the Mathematical VernacularA Introduction to Proofs and the Mathematical Vernacular
by - Virginia Tech
The book helps students make the transition from freshman-sophomore calculus to more proof-oriented upper-level mathematics courses. Another goal is to train students to read more involved proofs they may encounter in textbooks and journal articles.
Book cover: Mathematical Reasoning: Writing and ProofMathematical Reasoning: Writing and Proof
by - Pearson Education, Inc.
'Mathematical Reasoning' is designed to be a text for the first course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics.