A Beginners Guide to Mathematical Proof

A Beginner's Guide to Mathematical Proof prepares mathematics majors for the transition to abstract mathematics, and introduces a wider readership of quantitative science students to the mathematical structures underlying more applied topics with an accessible, step-by-step approach requiring minimal mathematical prerequisites.

A Beginner's Guide to Mathematical Proof prepares mathematics majors for the transition to abstract mathematics, as well as introducing a wider readership of quantitative 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 accessible, 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 students of quantitative sciences, such as engineering

• Replete with exercises and examples

  Autorentext

  Mark DeBonis received his PhD in Mathematics from 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 particular 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.

  Inhalt

  Preface, Chapter 1 Mathematical Logic, Chapter 2 Methods of Proof, Chapter 3 Special Proof Types, Chapter 4 Foundational Mathematical Topics, References, Index