
Mathematical Ideas
Description
Alles über E-Books | Antworten auf Fragen rund um E-Books, Kopierschutz und Dateiformate finden Sie in unserem Info- & Hilfebereich.
More details
Other editions
Additional editions

Content
1.1 Solving Problems by Inductive Reasoning
1.2 An Application of Inductive Reasoning: Number Patterns
1.3 Strategies for Problem Solving
1.4 Calculating, Estimating, and Reading Graphs
Extension: Using Writing to Learn about Mathematics
Collaborative Investigation: Discovering Patterns in Pascal's Triangle
Chapter 1 Test
2. The Basic Concepts of Set Theory
2.1 Symbols and Terminology
2.2 Venn Diagrams and Subsets
2.3 Set Operations and Cartesian Products
2.4 Surveys and Cardinal Numbers
Extension: Infinite Sets and Their Cardinalities
Collaborative Investigation: Surveying the Members of Your Class
Chapter 2 Test
3. Introduction to Logic
3.1 Statements and Quantifiers
3.2 Truth Tables and Equivalent Statements
3.3 The Conditional and Circuits
3.4 The Conditional and Related Statements
3.5 Analyzing Arguments with Euler Diagrams
Extension: Logic Problems and Sudoku
3.6 Analyzing Arguments with Truth Tables
Collaborative Investigation: Logic Problems and Sudoku Revisited
Chapter 3 Test
4. Numeration Systems
4.1 Historical Numeration Systems
4.2 More Historical Numeration Systems
4.3 Arithmetic in the Hindu-Arabic System
4.4 Conversion between Number Bases
Extension: Modular Systems
Collaborative Investigation: A Perpetual Calendar Algorithm
Chapter 4 Test
5. Number Theory
5.1 Prime and Composite Numbers
5.2 Large Prime Numbers
5.3 Selected Topics from Number Theory
5.4 Greatest Common Factor and Least Common Multiple
Extension: Modern Cryptography
5.5 The Fibonacci Sequence and the Golden Ratio
Collaborative Investigation: Investigating an Interesting Property of Number Squares
Chapter 5 Test
6. The Real Numbers and Their Representations
6.1 Real Numbers, Order, and Absolute Value
6.2 Operations, Properties, and Applications of Real Numbers
6.3 Rational Numbers and Decimal Representation
6.4 Irrational Numbers and Decimal Representation
6.5 Applications of Decimals and Percents
Extension: Complex Numbers
Collaborative Investigation: Budgeting to Buy a Car
Chapter 6 Test
7. The Basic Concepts of Algebra
7.1 Linear Equations
7.2 Applications of Linear Equations
7.3 Ratio, Proportion, and Variation
7.4 Linear Inequalities
7.5 Properties of Exponents and Scientific Notation
7.6 Polynomials and Factoring
7.7 Quadratic Equations and Applications
Extension: Complex Solutions of Quadratic Equations
Collaborative Investigation: How Does Your Walking Rate Compare to That of Olympic Race-walkers?
Chapter 7 Test
8. Graphs, Functions, and Systems of Equations and Inequalities
8.1 The Rectangular Coordinate System and Circles
8.2 Lines, Slope, and Average Rate of Change
8.3 Equations of Lines and Linear Models
8.4 An Introduction to Functions: Linear Functions, Applications, and Models
8.5 Quadratic Functions, Graphs, and Models
8.6 Exponential and Logarithmic Functions, Applications, and Models
8.7 Systems of Equations
8.8 Applications of Systems
Extension: Using Matrix Row Operations to Solve Systems
8.9 Linear Inequalities, Systems, and Linear Programming
Collaborative Investigation: Tracking an Epidemic
Chapter 8 Test
9. Geometry
9.1 Points, Lines, Planes, and Angles
9.2 Curves, Polygons, and Circles
Extension: Geometric Constructions
9.3 The Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem
9.4 Perimeter, Area, and Circumference
9.5
System requirements
File format: PDF
Copy-Protection: Adobe-DRM (Digital Rights Management)
System requirements:
- Computer (Windows; MacOS X; Linux): Install the free reader Adobe Digital Editions prior to download (see eBook Help).
- Tablet/smartphone (Android; iOS): Install the free app Adobe Digital Editions or the app PocketBook before downloading (see eBook Help).
- E-reader: Bookeen, Kobo, Pocketbook, Sony, Tolino and many more (only limited: Kindle).
The file format PDF always displays a book page identically on any hardware. This makes PDF suitable for complex layouts such as those used in textbooks and reference books (images, tables, columns, footnotes). Unfortunately, on the small screens of e-readers or smartphones, PDFs are rather annoying, requiring too much scrolling.
This eBook uses Adobe-DRM, a „hard” copy protection. If the necessary requirements are not met, unfortunately you will not be able to open the eBook. You will therefore need to prepare your reading hardware before downloading.
Please note: We strongly recommend that you authorise using your personal Adobe ID after installation of any reading software.
For more information, see our eBook Help page.