Logo

An Introduction to Mathematical Reasoning

Large book cover: An Introduction to Mathematical Reasoning

An Introduction to Mathematical Reasoning
by

Publisher: Cambridge University Press
ISBN/ASIN: B00AKE1PT6
Number of pages: 364

Description:
The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. This is achieved by exploring set theory, combinatorics and number theory, topics which include many fundamental ideas which are part of the tool kit of any mathematician.

Download or read it online for free here:
Download link
(multiple PDF files)

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.
(39237 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.
(14079 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).
(15846 views)
Book cover: A Gentle Introduction to the Art of MathematicsA Gentle Introduction to the Art of Mathematics
by - Southern Connecticut State University
The point of this book is to help you with the transition from doing math at an elementary level (concerned mostly with solving problems) to doing math at an advanced level (which is much more concerned with axiomatic systems and proving statements).
(17823 views)