Quite Right
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Mathematics didn't spring spontaneously to life, rules and definitions set in stone for all time. Its progress story has rich connections with measurement and money that have often shaped its development and driven its progress, a process that continues to this day. Quite Right explains how simple mathematical ideas have evolved all the way from prehistoric times so that they pervade almost every aspect of life in the 21st century. Most histories of mathematics look at the narrow role of professional mathematicians through the ages. Professor Biggs' sweeping tale is far wider. Making use of new discoveries of artefacts and documents, he reveals the part that mathematics has played in the human story and reflects on the nature of mathematics itself. The story reveals the power and beauty of mathematical concepts, which often belie their utilitarian origins. The twin paradigms of logical justification and algorithmic calculation recur throughout the book. Another theme is the relationship between mathematics and measurement of all kinds. No other book covers money and measurement in this way. Includes sections on: -- The origins of banking and interest in ancient Mesopotamia -- Using mathematics to keep secrets in medieval times -- The impact of tax and trade on the development of mathematics -- Financial speculation in our information age -- The role mathematics plays today in keeping you safe Quite Right is a fascinating story, suitable for anyone interested in the foundations of the mathematical world we live in. Norman Biggs is Professor (Emeritus) of Mathematics at the London School of Economics. He is the author of 12 books, including a perennial best-selling book Discrete Mathematics (Oxford University Press). He has a special interest in measurement and was Chair of the International Society of Weights and Scales Collectors from 2009-14. He served as a Vice President of the British Society for the History of Mathematics in 2014 and is an active member of the British Numismatic Society. 'This is a history of mathematics book with a difference. Instead of the usual chronological sequence of events, presented with mathematical hindsight (interpreting mathematical achievements from a modern point of view), this book tries to see things more from the context of the time - presenting the topics thematically rather than strictly chronologically, and including results and problems only when they fit into the themes EL the level of exposition is first-rate, with a far greater fluency than most mathematical writers can attain EL I am very happy to recommend it wholeheartedly.' Professor Robin Wilson, University of Oxford
CliffsStudySolver Geometry
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A problem-solving approach to geometry fundamentals Intended for students enrolled in general geometry courses at either the high school or college levels, CliffsStudySolver Geometry offers topical overviews of geometry and a wealth of challenging problems. The pretest section of the book lets readers gauge their knowledge of geometry and directs them to the areas they need to concentrate on. Chapters include explanatory problems and solutions throughout, and the workbook provides a complete sample exam that covers all the fundamental areas of geometry. David Alan Herzog (Easton, PA) is the author of numerous test prep books in math and science. He formerly taught math education at Fairleigh Dickinson University and also taught in the New York City public school system.
Graph Theory, Combinatorics and Algorithms
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Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by experts in their respective fields, and covers a wide spectrum of high-interest problems across these discipline domains. Among the contributing authors are Richard Karp of UC Berkeley and Robert Tarjan of Princeton; both are at the pinnacle of research scholarship in Graph Theory and Combinatorics. The chapters from the contributing authors focus on "real world" applications, all of which will be of considerable interest across the areas of Operations Research, Computer Science, Applied Mathematics, and Engineering. These problems include Internet congestion control, high-speed communication networks, multi-object auctions, resource allocation, software testing, data structures, etc. In sum, this is a book focused on major, contemporary problems, written by the top research scholars in the field, using cutting-edge mathematical and computational techniques.
Discrete Mathematics
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Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.
Statistics with Common Sense
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Applying statistical results to real life situations can be difficult or futile if you can't be certain what the results actually mean. This reference guide provides readers with the frequently elusive link between statistical results and practical applications. Students will learn the basic concepts and principles of statistics and probability, without getting bogged down in complicated theories and abstractions.Many statistics texts rely too heavily on mathematical formulas. Kault restores the emphasis to understanding statistical results and using common sense in decision making. Everyday examples bring the concepts to life. In the entry on hypothesis testing, Kault examines how a statistical result incorrectly overruled the common sense of many doctors. A chapter on random variables shows the chance that students will carry cell phones, and a chapter on categorical measurements uses statistics to determine the efficiency of a new treatment for a serious disease. Each chapter ends with questions that will help students further understand important concepts. Useful on its own and perfect as a means of expanding classroom discussions, this book is ideal for high school students or anyone needing to review the basics of statistics.
Numbers
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Numbers deals with the development of numbers from fractions to algebraic numbers to transcendental numbers to complex numbers and their uses. The book also examines in detail the number pi, the evolution of the idea of infinity, and the representation of numbers in computers. The metric and American systems of measurement as well as the applications of some historical concepts of numbers in such modern forms as cryptography and hand calculators are also covered. Illustrations, thought-provoking text, and other supplemental material cover the key ideas, figures, and events in the historical development of numbers.
Mathematics for the Liberal Arts
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Students See How Far a Little Math Can Take Them in Their Daily Lives Mathematics for the Liberal Artsteaches everyday mathematics topics to non-math majors at the undergraduate level. Through numerous examples and more than 600 exercises, students learn how to use math seamlessly in a variety of practical areas, from conversion factors, statistics, visualization, money, and risk to games, art, music, and humor. The text develops a logical, real-world approach to data and reasoning, showing students how to: Think both analytically and visually about data Use graphics to make a point Make sound monetary and nonmonetary decisions Evaluate risk taking Strategize to win at games Appreciate more fully art, music, and humor Going beyond mere numerics and calculations, this textbook helps students become life-long learners exceeding the confines of a course. They will find that with a little more math, their daily lives will be more productive, understandable, and creative. Web Resource The author's website provides a number of additional examples, including musical ones. It also offers one-of-a-kind software programs for the art and music material in the book.
Schaum's Outline of Mathematics for Liberal Arts Majors
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Schaum's has Satisfied Students for 50 Years. Now Schaum's Biggest Sellers are in New Editions! For half a century, more than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's celebrates its 50th birthday with a brand-new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study. Schaum's Outlines-Problem Solved Schaum's Outline of Mathematics for Liberal Arts Majors helps students understand basic concepts and offer extra practice on such topics as logic, truth tables, axiom statements, consumer mathematics, probability and counting techniques, the real number system, and more. Each chapter offers clear concise explanations of topics and include hundreds of practice problems with step-by-step solutions.
Mathematics for the Nonmathematician
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Erudite and entertaining overview follows development of mathematics from ancient Greeks, through Middle Ages and Renaissance to the present. Chapters focus on logic and mathematics, the number, the fundamental concept, differential calculus, the theory of probability, and much more. Exercises and problems.
Introduction to Logic
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[PRINT]
Real-Life Math
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PRINT: What does this have to do with real life? is a question that plagues mathematics teachers across America, as students are confronted with abstract topics in their high school mathematics courses. The National Council of Teachers of Mathematics emphasizes the importance of making real world connections in teaching mathematics so that learning new content is meaningful to students. And in meeting NCTM national standards, this invaluable book provides many insights into the many connections between mathematics applications and the real world. Nearly 50 math concepts are presented with multiple examples of how each is applied in everyday environments, such as the workplace, nature, science, sports, and even parking. From logarithms to matrices to complex numbers, concepts are discussed for a variety of mathematics courses, including: - algebra - geometry - trigonometry - analysis - probability - statistics - calculus In one entry, for example, the authors show how angles are used in determining the spaces of a parking lot. When describing exponential growth, the authors demonstrate how interest on a loan or credit card increases over time. The concept of equations is described in a variety of ways, including how business managers estimate how many hours it takes a certain number of employees to complete a task, as well as how a to compute a quarterback's passing rating. Websites listed at the end of each entry provide additional examples of everyday math for both students and teachers.
The 24 videos on this playlist cover topics useful for Math for Liberal Arts. Some of the topics covered are counting in different number bases, calculating the annual percentage yield, and more.
The 12 videos on this playlist cover topics on Venn Diagram, truth tables, probability, and more.