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MATHEMATICAL IDEAS, EXPANDED EDITION (10TH EDITION) By Vern E. Heeren BRAND NEW. Condition is Brand New. Shipped with USPS Media Mail. Book is brand new but has some damage to back cover corner, see pictures.
Table Of Content1. The Art of Problem Solving. Solving Problems by Inductive Reasoning. An Application of Inductive Reasoning: Number Patterns. Strategies for Problem Solving. Calculating, Estimating, and Reading Graphs. Extension: Using Writing to Learn About Mathematics. Collaborative Investigation: Discovering Mathematics in Pascal's Triangle. Chapter 1 Test. 2. The Basic Concepts Of Set Theory. Symbols and Terminology. Venn Diagrams and Subsets. Set Operations and Cartesian Products. Cardinal Numbers and Surveys. Infinite Sets and Their Cardinalities. Collaborative Investigation: A Survey of Your Class. Chapter 2 Test. 3. Introduction to Logic. Statements and Quantifiers. Truth Tables and Equivalent Statements. The Conditional and Circuits. More on the Conditional. Analyzing Arguments with Euler Diagrams. Extension: Logic Puzzles. Analyzing Arguments with Truth Tables. Collaborative Investigation: Logic Puzzles Revisited. Chapter 3 Test. 4. Numeration and Mathematical Systems. Historical Numeration Systems. Arithmetic in the Hindu-Arabic System. Conversion Between Number Bases. Finite Mathematical Systems. Groups. Collaborative Investigation: A Perpetual Calendar Algorithm. Chapter 4 Test. 5. Number Theory. Prime and Composite Numbers. Selected Topics from Number Theory. Greatest Common Factor and Least Common Multiple. Modular Systems. The Fibonacci Sequence and the Golden Ratio. Extension: Magic Squares. Collaborative Investigation: Investigating an Interesting Property of Number Squares. Chapter 5 Test. 6. The Real Numbers and Their Representations. Real Numbers, Order, and Absolute Value. Operations, Properties, and Applications of Real Numbers. Rational Numbers and Decimal Representation. Irrational Numbers and Decimal Representation. Applications of Decimals and Percents. Extension: Complex Numbers. Collaborative Investigation: Budgeting to Buy a Car
SynopsisThe tenth edition of Mathematical Ideas is the best ever! We have continued with the features and pedagogy that have made this book so successful over the years and at the same time, we've spent a considerable amount of time to incorporate fresh data, new photos, and new content (by way of a new chapter on trigonometry). We have tried to reflect the needs of our users both long-time readers and those new to the Math Ideas way of teaching liberal arts math. We hope you'll be pleased with the results. Like its predecessors, this edition has been designed with a variety of students in mind. It is well-suited for several courses, including the aforementioned liberal arts audience, survey courses in mathematics, and mathematics for prospective and in-service elementary and middle school teachers. Ample topics are included for a two-term course, yet the variety of topics and flexibility of sequence make the text suitable for shorter courses as well. Our main objectives continue to be to provide comprehensive coverage of topics, appropriate organization, clear exposition, an abundance of examples, and well-planned exercise sets with numerous applications.