Quantitative Reasoning and the Environment


Book Description

An introductory quantitative math book with an environmental theme. The emphasis of this text is on analyzing real environmental information and problems, using mathematics accessible to students with an intermediate algebra background. Students using this text will develop mathematical (and environmental) literacy as they model natural processes using algebraic, graphical and numerical methods, and analyze data quantitatively to assist in objective decision making. The textbook is comprised of 4 principal sections: (1) basic numeracy; (2) function modeling; (3) difference equation modeling, ∧ (4) elementary statistics. Furthermore, this textbook combines both a reform and traditional approach. Traditional in that each chapter presents introductory material, worked examples, multiple student problems, and solutions to odd exercises. It is reform in that it investigates material through a synthesis of algebraic, graphical, numerical and verbal approaches.







An Introduction to Mathematical Reasoning


Book Description

This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.