An Introduction to Higher Mathematics

Small book cover: An Introduction to Higher Mathematics

An Introduction to Higher Mathematics

Publisher: Whitman College
Number of pages: 144

Contents: Logic (Logical Operations, De Morgan's Laws, Logic and Sets); Proofs (Direct Proofs, Existence proofs, Mathematical Induction, Indirect Proof); Number Theory (The Euclidean Algorithm, The Fundamental Theorem of Arithmetic); Functions (Injections and Surjections, Cardinality and Countability, Uncountability of the Reals).

Home page url

Download or read it online for free here:
Download link
(730KB, PDF)

Similar books

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: How To Write ProofsHow To Write Proofs
by - California State University, Fresno
Proofs are the heart of mathematics. What is the secret? The short answer is: there is no secret, no mystery, no magic. All that is needed is some common sense and a basic understanding of a few trusted and easy to understand techniques.
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.
Book cover: Fundamental Concepts of MathematicsFundamental Concepts of Mathematics
by - University of Massachusetts
Problem Solving, Inductive vs. Deductive Reasoning, An introduction to Proofs; Logic and Sets; Sets and Maps; Counting Principles and Finite Sets; Relations and Partitions; Induction; Number Theory; Counting and Uncountability; Complex Numbers.