History of MathematicsAn Overview 

xiii  

The Nature of Problem Solving 


1  (62) 


2  (16) 

Inductive and Deductive Reasoning 


18  (9) 

Scientific Notation and Estimation 


27  (16) 

Problem Solving with Sets 


43  (20) 


56  (7) 


63  (52) 


64  (8) 

Truth Tables and the Conditional 


72  (9) 

Operators and Laws of Logic 


81  (6) 


87  (10) 

Problem Solving Using Logic 


97  (7) 


104  (11) 


108  (7) 

The Nature of Calculation 


115  (42) 


116  (9) 

HinduArabic Numeration System 


125  (4) 

Different Numeration Systems 


129  (6) 


135  (5) 

History of Calculating Devices 


140  (17) 


153  (4) 


157  (80) 


158  (8) 


166  (13) 


179  (9) 


188  (7) 


195  (10) 


205  (11) 


216  (10) 


226  (11) 


231  (6) 


237  (90) 


238  (8) 


246  (6) 

Evaluation, Applications, and Spreadsheets 


252  (12) 


264  (8) 


272  (5) 

Algebra in Problem Solving 


277  (12) 

Ratios, Proportions, and Problem Solving 


289  (10) 

Modeling Uncategorized Problems 


299  (10) 

Introduction to Computer BASIC 


309  (18) 


323  (4) 


327  (96) 


328  (10) 


338  (9) 


347  (8) 


355  (7) 

RightTriangle Trigonometry 


362  (8) 


370  (7) 

Euler Circuits and Hamiltonian Cycles 


377  (13) 


390  (11) 


400  (1) 

Projective and NonEuclidean Geometries 


401  (6) 

Introduction to Computer LOGO 


407  (16) 


416  (7) 

The Nature of Measurement and Growth 


423  (77) 


424  (9) 


433  (10) 

Surface Area, Volume, and Capacity 


443  (13) 

Miscellaneous Measurements 


456  (10) 


466  (8) 


474  (9) 

Applications of Growth and Decay 


483  (17) 


493  (7) 

The Nature of Sequences, Series, and Financial Management 


500  (74) 


501  (14) 


515  (9) 


524  (12) 


536  (11) 


547  (8) 


555  (8) 

Summary of Financial Formulas 


563  (11) 


567  (7) 

The Nature of Probability 


574  (73) 

Introduction to Probability 


575  (12) 


587  (10) 


597  (14) 


611  (11) 


622  (13) 


632  (3) 

Rubik's Cube and Instant Insanity 


635  (12) 


639  (8) 


647  (76) 

Frequency Distributions and Graphs 


648  (15) 


663  (13) 


676  (13) 


689  (10) 

Correlation and Regression 


699  (10) 


709  (14) 


715  (8) 

The Nature of Graphs and Functions 


723  (84) 


724  (9) 


733  (3) 


736  (6) 


742  (14) 


756  (9) 


765  (11) 


776  (6) 


782  (11) 


793  (14) 


802  (5) 

The Nature of Mathematical Systems 


807  (57) 

Systems of Linear Equations 


809  (4) 

Problem Solving with Systems 


813  (11) 

Matrix Solution of a System of Equations 


824  (11) 


835  (14) 


849  (2) 

Modeling with Linear Programming 


851  (13) 


859  (5) 
APPENDICES 

864  (118) 


864  (4) 


868  (10) 

C Mathematics in the Natural Sciences, Social Sciences, and Humanities 


878  (20) 

D U.S.Metric Conversions 


898  (2) 

E Table: Trigonometric Ratios 


900  (1) 

F Table: Standard Normal Distribution; zscores 


901  (1) 


902  (31) 


933  (47) 


980  (2) 
Index 

982  