Unique, effective system for teaching mathematical reasoning leads students toward clearly false conclusions. Students then analyze problems to correct the errors. Covers arithmetic, algebra, geometry, trigonometry, and approximate computations. 1963 edition.
Arguing that good legal reasoning remains the best device by which we can ensure that judicial impartiality, the rule of law, and social trust and peace are preserved, Thomas F. Burke and Lief H. Carter present an accessible and lively text that analyzes the politics of the judicial process. Looking at the larger social and institutional contexts that affect the rule of law - including religious beliefs and media coverage of the courts - Reason in Law uses cases ripped from the headlines to illustrate its theory in real-world practice.
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.
This accessible textbook gives beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. The book provides students with a quick path to writing proofs and a practical collection of tools that they can use in later mathematics courses such as abstract algebra and analysis. The importance of the logical structure of a mathematical statement as a framework for finding a proof of that statement, and the proper use of variables, is an early and consistent theme used throughout the book.
Focusing on the formal development of mathematics, this book shows readers how to read, understand, write, and construct mathematical proofs.Uses elementary number theory and congruence arithmetic throughout. Focuses on writing in mathematics. Reviews prior mathematical work with “Preview Activities” at the start of each section. Includes “Activities” throughout that relate to the material contained in each section. Focuses on Congruence Notation and Elementary Number Theorythroughout.For professionals in the sciences or engineering who need to brush up on their advanced mathematics skills. Mathematical Reasoning: Writing and Proof, 2/E Theodore Sundstrom
1,001 Opportunities to improve your score on the ASVAB AFQT If you have your sights set on a career in the U.S. Military – but the thought of taking the ASVAB AFQT is having you seeing stars and stripes – this test-prep guide offers 1,001 practice opportunities to increase your chances of scoring higher. Covering the four subtests, 1,001 ASVAB AFQT Practice Questions For Dummies helps you strengthen your test-taking muscles so you can perform your very best on the big day – and qualify for the military branch and job you want. Since the test was first introduced in 1968, more than 40 million people have taken the exam. If you want to join the ranks and go on to enjoy a fulfilling and prosperous career in the Air Force, Army, Marines, Navy, or Coast Guard, it's essential that you achieve a passing score on the ASVAB AFQT – the first four sections of the ASVAB. All the expert test-taking tips, strategies, and practice questions you need to do just that are a page away. Includes free, 1-year access to practice questions online Provides detailed answers and explanations for every question Covers everything you can expect to encounter on exam day Offers tips for using your time wisely If red, white, and blue are in your blood, the 1,001 practice questions inside will help you pass the ASVAB AFQT with flying colors.
Mathematicians at every level use diagrams to prove theorems. Mathematical Reasoning with Diagrams investigates the possibilities of mechanizing this sort of diagrammatic reasoning in a formal computer proof system, even offering a semi-automatic formal proof system—called Diamond—which allows users to prove arithmetical theorems using diagrams.