Thinking Mathematically
Robert Blitzer
Thinking Mathematically
Robert Blitzer
- Producent: Pearson
- Rok produkcji: 2013
- ISBN: 9781292022390
- Ilość stron: 896
- Oprawa: Miękka
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Opis: Thinking Mathematically - Robert Blitzer
Blitzer continues to raise the bar with his engaging applications developed to motivate students from diverse majors and backgrounds. Thinking Mathematically, Fifth Edition, draws from the author's unique background in art, psychology, and math to present math in the context of real-world applications. Students in this course are not math majors, and they may never take a subsequent math course, so they are often nervous about taking the class. Blitzer understands those students' needs and provides helpful tools in every chapter to help them master the material. Voice balloons appear right when students need them, showing what an instructor would say when leading a student through the problem. Study tips, chapter review grids, Chapter Tests, and abundant exercises provide ample review and practice. The Fifth Edition's MyMathLab(R) course boasts more than 2,000 assignable exercises, plus a new question type for applications-driven questions that correlate to section openers in the textbook. Chapter Test Prep Videos show students how to work out solutions to the Chapter Tests; the videos are available on DVD, in MyMathLab, and on YouTube(TM).1. Problem Solving and Critical Thinking 1.1 Inductive and Deductive Reasoning 1.2 Estimation, Graphs, and Mathematical Models 1.3 Problem Solving 2. Set Theory 2.1 Basic Set Concepts 2.2 Subsets 2.3 Venn Diagrams and Set Operations 2.4 Set Operations and Venn Diagrams with Three Sets 2.5 Survey Problems 3. Logic 3.1 Statements, Negations, and Quantified Statements 3.2 Compound Statements and Connectives 3.3 Truth Tables for Negations, Conjunction, and Disjunction 3.4 Truth Tables for the Conditional and the Biconditional 3.5 Equivalent Statements and Variations of Conditional Statements 3.6 Negations of Conditional Statements and De Morgan's Laws 3.7 Arguments and Truth Tables 3.8 Arguments and Euler Diagrams 4. Number Representation and Calculation 4.1 Our Hindu-Arabic System and Early Positional Systems 4.2 Number Bases in Positional Systems 4.3 Computation in Positional Systems 4.4 Looking Back at Early Numeration Systems 5. Number Theory and the Real Number System 5.1 Number Theory, Prime and Composite Numbers 5.2 The Integers; Order of Operations 5.3 The Rational Numbers 5.4 The Irrational Numbers 5.5 Real Numbers and Their Properties 5.6 Exponents and Scientific Notation 5.7 Arithmetic and Geometric Sequences 6. Algebra: Equations and Inequalities 6.1 Algebraic Expressions and Formulas 6.2 Linear Equations in One Variable and Proportions 6.3 Applications of Linear Equations 6.4 Linear Inequalities in One Variable 6.5 Quadratic Equations 7. Algebra: Graphs, Functions, and Linear Systems 7.1 Graphing and Functions 7.2 Linear Functions and Their Graphs 7.3 Systems of Linear Equations in Two Variables 7.4 Linear Inequalities in Two Variables 7.5 Linear Programming 7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions 8. Consumer Mathematics and Financial Management 8.1 Percent, Sales Tax, and Income Tax 8.2 Simple Interest 8.3 Compound Interest 8.4 Annuities, Stocks, and Bonds 8.5 Installment Loans, Amortization, and Credit Cards 9. Measurement 9.1 Measuring Length; The Metric System 9.2 Measuring Area and Volume 9.3 Measuring Weight and Temperature 10. Geometry 10.1 Points, Lines, Planes, and Angles 10.2 Triangles 10.3 Polygons, Perimeter, and Tessellations 10.4 Area and Circumference 10.5 Volume 10.6 Right Triangle Trigonometry 10.7 Beyond Euclidean Geometry 11. Counting Methods and Probability Theory 11.1 The Fundamental Counting Principle 11.2 Permutations 11.3 Combinations 11.4 Fundamentals of Probability 11.5 Probability with the Fundamental Counting principle, Permutations, and Combinations 11.6 Events Involving Not and Or; Odds 11.7 Events Involving And; Conditional Probability 11.8 Expected Value 12. Statistics 12.1 Sampling, Frequency Distributions, and Graphs 12.2 Measures of Central Tendency 12.3 Measures of Dispersion 12.4 The Normal Distribution 12.5 Problem Solving with the Normal Distribution 12.6 Scatter Plots, Correlation, and Regression Lines 13. Mathematical Systems 13.1 Mathematical Systems 13.2 Rotational Symmetry, Groups, and Clock Arithmetic 14. Voting and Apportionment 14.1 Voting Methods 14.2 Flaws of Voting Methods 14.3 Apportionment Methods 14.4 Flaws of Apportionment Methods
Szczegóły: Thinking Mathematically - Robert Blitzer
Tytuł: Thinking Mathematically
Autor: Robert Blitzer
Producent: Pearson
ISBN: 9781292022390
Rok produkcji: 2013
Ilość stron: 896
Oprawa: Miękka
Waga: 1.66 kg