A Gentle Introduction to the Art of Mathematics
by Joseph Fields
Publisher: Southern Connecticut State University 2009
Number of pages: 428
Description:
The point of this book is to help you with the transition from doing math at an elementary level (which is concerned mostly with solving problems) to doing math at an advanced level (which is much more concerned with axiomatic systems and proving statements within those systems).
Download or read it online for free here:
Download link
(1.5MB, PDF)
Similar books
Handbook of Mathematical Proofby Edward D. Kim - American Mathematical Society
This text can be used for an intro to proofs course, or a reference in a proof-based course. By going through this handbook, you will learn all that is necessary to prove and use mathematical statements. This will take some work ...
(2340 views)
An Inquiry-Based Introduction to Proofsby Jim Hefferon - 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.
(13650 views)
Proofs and Concepts: the fundamentals of abstract mathematicsby Dave Witte Morris, Joy Morris - University of Lethbridge
This undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics.
(18359 views)
An Introduction to Higher Mathematicsby Patrick Keef, David Guichard, Russ Gordon - 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).
(18151 views)