Mathematics Textbooks: Library Subscription and Open Access

The goal of this handbook is to help scientists and engineers incorporate statistical methods into their work as efficiently as possible.

This class covers quantitative analysis of uncertainty and risk for engineering applications. Includes PDF's of lecture notes and problem sets.

Online Statistics: An Interactive Multimedia Course of Study is a resource for learning and teaching introductory statistics. It contains material presented in textbook format and as video presentations. This resource features interactive demonstrations and simulations, case studies, and an analysis lab.

by Hossein Pishro-Nik, University of Mass Amherst

2009 by Paul Pfeiffer, Rice University.
A first course that presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated integrals used in the theory of expectation and conditional expectation.
Describes and employs user defined MATLAB procedures and functions (which we refer to as m-programs, or simply programs) to solve many important problems in basic probability.

2013 by Michael Lavine.
Intended as an upper level undergraduate or introductory graduate textbook
in statistical thinking for students with a good knowledge of calculus and the ability to think abstractly. By “statistical thinking” is meant a focus on ideas that statisticians care about as opposed to technical details of how to put those
ideas into practice. The likelihood function and
likelihood principle are unifying ideas throughout the text. Uses of statistical software as a pedagogical tool. Uses computer calculation and
simulation as another way of helping readers understand the underlying concepts.
Software is R. Accompanying manuals are available for free download from http://www.r-project.org

By Barbara Illowsky, Susan Dean,

2003 by David Lane, Rice University.
This is a comprehensive text, suitable for an introductory statistics course for non-math majors. It contains twenty-one chapters, covering the wide range of intro stats topics plus case studies and a glossary.

By Valerie Watts

By Mike Weimerskirch.

By sandals29 and Allyn Leon.

By Mike LePine.

By Iain Pardoe.