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: 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: 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.
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.