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.
Description : Susanna Epp's DISCRETE MATHEMATICS: AN INTRODUCTION TO MATHEMATICAL REASONING provides a clear introduction to discrete mathematics and mathematical reasoning in a compact form that focuses on core topics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision, helping students develop the ability to think abstractly as they study each topic. In doing so, the book provides students with a strong foundation both for computer science and for other upper-level mathematics courses.
Student Solutions Manual And Study Guide For Epp S Discrete Mathematics Introduction To Mathematical Reasoning
Designed to make logic interesting and accessible—without sacrificing content or rigor—this classic introduction to contemporary propositional logic explains the symbolization of English sentences and develops formal-proof, truth-table, and truth-tree techniques for evaluating arguments. An accompanying computer tutorial program, PropLogic, is available on CD-ROM in two versions: one version can be installed and run off a hard drive; one (identical) “portable” version can be run off the CD-ROM itself (allowing students/instructors flexibility on when/where they use the program). An appendix in the text describes program details. Tutors readers on formula construction, symbolization, formal proofs, full and brief truth tables, and truth trees. Also provides additional practice exercises. Content organized around natural-deduction formal-proof procedures, truth tables, and truth trees. Gradual presentation of logical statement connectives. Shows students how to symbolize sentences containing the connective and how to use proof rules involving that connective before introducing additional connectives. Examples of actual arguments similar to those readers encounter, and to which they can readily relate. Draws examples and exercises from newspapers, magazines, television, books, textbooks, term papers, posters, comic strips, television programs, films, records, and conversations. Increases students' awareness of the arguments they read and hear every day. Extensive exercise sets throughout provide solutions to about one-quarter of the exercises (in an appendix). Provides ample opportunities for assignments and practice.
Description : This text focuses on the analysis of data and the interpretation of results rather than the computational methods of statistics. Its examples are taken from a broad range of disciplines and screen shots from the more popular software packages are included to display data and graphics. Mathematical derivations are minimized, so encouraging the student to use a calculator or computer to perform the computations. Various technology options give the student a range of methods for performing the statistical computations. The section on uses and misuses of statistics shows how statistics are presented by graphs and charts.
Description : Increasingly, college courses and programs require a critical thinking component and include assignments meant to measure your critical thinking skills. ATTACKING FAULTY REASONING: A PRACTICAL GUIDE TO FALLACY-FREE ARGUMENTS, SEVENTH EDITION, can help you brush up on these skills and learn how to develop the logical, persuasive arguments you need now and throughout your career. This useful handbook addresses more than 60 common fallacies of logic with the help of over 200 memorable examples. It provides explanations and tips for "attacking" fallacious thinking, and is an ideal resource when writing papers, essays, or arguments.
Description : Not only is ATTACKING FAULTY REASONING the most comprehensive, readable, and theoretically sound book on the common fallacies, it is also a well-designed primer for the construction and evaluation of arguments. Addressing over 60 fallacies and featuring a wealth of timely examples and exercises, this text will help students hone their skills in rational, argumentative discussion.