Logo

Fundamental Concepts of Mathematics

Fundamental Concepts of Mathematics
by

Publisher: University of Massachusetts
Number of pages: 69

Description:
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: Book of ProofBook of Proof
by - Virginia Commonwealth University
This textbook is an introduction to the standard methods of proving mathematical theorems. It is written for an audience of mathematics majors at Virginia Commonwealth University, and is intended to prepare the students for more advanced courses.
(29468 views)
Book cover: Basic Concepts of MathematicsBasic Concepts of Mathematics
by - The Trillia Group
The book will help students complete the transition from purely manipulative to rigorous mathematics. It covers basic set theory, induction, quantifiers, functions and relations, equivalence relations, properties of the real numbers, fields, etc.
(11319 views)
Book cover: An Introduction to Higher MathematicsAn Introduction to Higher Mathematics
by - Whitman College
Contents: Logic (Logical Operations, De Morgan's Laws, Logic and Sets); Proofs (Direct Proofs, Existence proofs, Mathematical Induction); Number Theory (The Euclidean Algorithm); Functions (Injections and Surjections, Cardinality and Countability).
(10361 views)
Book cover: An Inquiry-Based Introduction to ProofsAn Inquiry-Based Introduction to Proofs
by - Saint Michael's College
Introduction to Proofs is a Free undergraduate text. It is inquiry-based, sometimes called the Moore method or the discovery method. It consists of a sequence of exercises, statements for students to prove, along with a few definitions and remarks.
(5850 views)