Mathematical Proof
A Beginner’s Guide to Mathematical Proof prepares mathematics majors for the
transition to abstract mathematics, as well as introducing a wider readership of quan-
titative science students, such as engineers, to the mathematical structures underlying
more applied topics.
The text is designed to be easily utilized by both instructor and student, with an acces-
sible, step-by-step approach requiring minimal mathematical prerequisites. The book
builds towards more complex ideas as it progresses but never makes assumptions of the
reader beyond the material already covered.
Features
• No mathematical prerequisites beyond high school mathematics
• Suitable for an Introduction to Proofs course for mathematics majors and other stu-
dents of quantitative sciences, such as engineering
• Replete with exercises and examples.
Mark DeBonis received his PhD in Mathematics from the University of California,
Irvine, USA. He began his career as a theoretical mathematician in the field of group
theory and model theory, but in later years switched to applied mathematics, in par-
ticular to machine learning. He spent some time working for the US Department of
Energy at Los Alamos National Lab as well as the US Department of Defense at the
Defense Intelligence Agency as an applied mathematician of machine learning. He is at
present working for the US Department of Energy at Sandia National Lab. His research
interests include machine learning, statistics, and computational algebra.
,
, A Beginner’s Guide to
Mathematical Proof
Mark J. DeBonis