Complete Solutions Manual for Mathematical Ideas, 15th Edition by Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren ; ISBN13: 9780138051433. (Full Chapters included Chapter 1 to 15)...
1. The Art of Problem Solving.
2. The Basic Concepts of Set Theory.
3. Introduction to Logic....
Mathematical Ideas
15th Edition
by Charles D. Miller
Complete Chapter Solutions Manual
are included (Ch 1 to 15)
** Immediate Download
** Swift Response
** All Chapters included
, Table of Contents
Chapter 1 The Art of Problem Solving
1.1: Solving Problems by Inductive Reasoning ............................................................................................... 1
1.2: An Application of Inductive Reasoning: Number Patterns ...................................................................... 4
1.3: Strategies for Problem Solving ............................................................................................................... 12
1.4: Numeracy in Today’s World .................................................................................................................. 23
Chapter 1 Test ............................................................................................................................................... 25
Chapter 2 The Basic Concepts of Set Theory
2.1: Symbols and Terminology ...................................................................................................................... 28
2.2: Subsets and Diagrams ............................................................................................................................. 32
2.3: Set Operations ........................................................................................................................................ 36
2.4: Surveys and Cardinal Numbers .............................................................................................................. 41
Chapter 2 Test ............................................................................................................................................... 49
Chapter 3 Introduction to Logic
3.1: Statements and Quantifiers ..................................................................................................................... 52
3.2: Truth Tables and Equivalent Statements ................................................................................................ 55
3.3: The Conditional and Circuits .................................................................................................................. 64
3.4: The Conditional and Related Statements ................................................................................................ 73
3.5: Analyzing Arguments with Euler Diagrams ........................................................................................... 76
3.6: Analyzing Arguments with Truth Tables ................................................................................................ 81
Chapter 3 Test ............................................................................................................................................... 92
Chapter 4 Numeration Systems
4.1: Historical Numeration Systems .............................................................................................................. 96
4.2: More Historical Numeration Systems ................................................................................................... 100
4.3: Arithmetic in the Hindu-Arabic System ............................................................................................... 101
4.4: Conversion between Number Bases ..................................................................................................... 109
4.5: Arithmetic in Other Bases .................................................................................................................... 117
Chapter 4 Test ............................................................................................................................................. 132
Chapter 5 Number Theory
5.1: Prime and Composite Numbers ............................................................................................................ 135
5.2: Large Prime Numbers ........................................................................................................................... 139
5.3: Selected Topics from Number Theory ................................................................................................. 140
5.4: Greatest Common Factor and Least Common Multiple ....................................................................... 145
5.5: The Fibonacci Sequence and the Golden Ratio .................................................................................... 151
Chapter 5 Test ............................................................................................................................................. 155
Chapter 6 The Real Numbers and Their Representations
6.1: Real Numbers, Order, and Absolute Value .......................................................................................... 157
6.2: Operations, Properties, and Applications of Real Numbers ................................................................. 159
6.3: Rational Numbers and Decimal Representation ................................................................................... 162
6.4: Irrational Numbers and Decimal Representation .................................................................................. 169
6.5: Applications of Decimals and Percents ................................................................................................ 173
Chapter 6 Test ............................................................................................................................................. 178
Chapter 7 The Basic Concepts of Algebra
7.1: Linear Equations ................................................................................................................................... 180
7.2: Applications of Linear Equations ......................................................................................................... 188
7.3: Ratio, Proportion, and Variation .......................................................................................................... 202
7.4: Linear Inequalities ................................................................................................................................ 208
7.5: Properties of Exponents and Scientific Notation .................................................................................. 216
7.6: Polynomials and Factoring ................................................................................................................... 221
7.7: Quadratic Equations and Applications ................................................................................................. 225
, Chapter 7 Test ............................................................................................................................................. 235
Chapter 8 Graphs, Functions, and Systems of Equations and Inequalities
8.1: The Rectangular Coordinate System and Circles ................................................................................. 240
8.2: Lines, Slope, and Average Rate of Change .......................................................................................... 245
8.3: Equations of Lines ................................................................................................................................ 255
8.4: Linear Functions, Graphs, and Models ................................................................................................. 264
8.5: Quadratic Functions, Graphs, and Models............................................................................................ 268
8.6: Exponential and Logarithmic Functions, Graphs, and Models ............................................................. 275
8.7: Systems of Linear Equations ................................................................................................................ 282
8.8: Applications of Linear Systems ............................................................................................................ 290
8.9: Linear Inequalities, Systems, and Linear Programming ....................................................................... 299
Chapter 8 Test ............................................................................................................................................. 307
Chapter 9 Geometry
9.1: Points, Lines, Planes, and Angles ......................................................................................................... 311
9.2: Curves, Polygons, Circles, and Geometric Constructions .................................................................... 314
9.3: The Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem .......................... 318
9.4: Perimeter, Area, and Circumference ..................................................................................................... 329
9.5: Volume and Surface Area..................................................................................................................... 339
9.6: Transformational Geometry.................................................................................................................. 345
9.7: Non-Euclidean Geometry and Topology .............................................................................................. 349
9.8: Chaos and Fractal Geometry ................................................................................................................ 350
Chapter 9 Test ............................................................................................................................................. 353
Chapter 10 Counting Methods
10.1: Counting by Systematic Listing .......................................................................................................... 356
10.2: Using the Fundamental Counting Principle ........................................................................................ 369
10.3: Using Permutations and Combinations ............................................................................................... 375
10.4: Using Pascal’s Triangle ...................................................................................................................... 383
10.5: Counting Problems Involving “Not” and “Or” ................................................................................... 386
Chapter 10 Test ........................................................................................................................................... 392
Chapter 11 Probability
11.1: Basic Concepts ................................................................................................................................... 395
11.2: Events Involving “Not” and “Or” ....................................................................................................... 403
11.3: Conditional Probability and Events Involving “And” ........................................................................ 409
11.4: Binomial Probability .......................................................................................................................... 421
11.5: Expected Value and Simulation.......................................................................................................... 426
Chapter 11 Test ........................................................................................................................................... 433
Chapter 12 Statistics
12.1: Visual Displays of Data ...................................................................................................................... 438
12.2: Measures of Central Tendency ........................................................................................................... 443
12.3: Measures of Dispersion ...................................................................................................................... 449
12.4: Measures of Position .......................................................................................................................... 461
12.5: The Normal Distribution .................................................................................................................... 466
Chapter 12 Test ........................................................................................................................................... 472
Chapter 13 Personal Financial Management
13.1: The Time Value of Money ................................................................................................................. 476
13.2: Consumer Credit ................................................................................................................................. 483
13.3: Truth in Lending ................................................................................................................................. 488
13.4: The Costs and Advantages of Home Ownership ................................................................................ 495
13.5: Financial Investments ......................................................................................................................... 503
13.6: Income Tax Liability .......................................................................................................................... 510
Chapter 13 Test ........................................................................................................................................... 513
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