Logo

An Introduction to Higher Mathematics

Small book cover: An Introduction to Higher Mathematics

An Introduction to Higher Mathematics
by

Publisher: Whitman College
Number of pages: 144

Description:
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: An Introduction to Mathematical ReasoningAn Introduction to Mathematical Reasoning
by - Cambridge University Press
This book introduces basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on constructing proofs and writing clear mathematics. This is achieved by exploring set theory, combinatorics and number theory.
(14437 views)
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.
(14116 views)
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.
(19554 views)
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.
(13281 views)