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The Nature of Mathematics,9780534368906
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The Nature of Mathematics

by
Edition:
9th
ISBN13:

9780534368906

ISBN10:
0534368905
Format:
Paperback
Pub. Date:
12/22/2000
Publisher(s):
Brooks Cole
List Price: $98.66

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This is the 9th edition with a publication date of 12/22/2000.
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  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.

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Summary

Since the First Edition of Smith's text was published, thousands of liberal arts students have "experienced" mathematics rather than just "doing problems" with the help of this book. Smith's student-friendly writing style gives readers the confidence and ability to function mathematically in our technological world. Smith emphasizes problem solving and estimation, and new problems are coupled with numerous in-text study aids, encouraging students to become involved with the concepts. The Ninth Edition goes a step beyond to help students master mathematics rather than just get the right answer.

Table of Contents

History of Mathematics---An Overview xiii
The Nature of Problem Solving
1(62)
Problem Solving
2(16)
Inductive and Deductive Reasoning
18(9)
Scientific Notation and Estimation
27(16)
Problem Solving with Sets
43(20)
Summary
56(7)
The Nature of Logic
63(52)
Deductive Reasoning
64(8)
Truth Tables and the Conditional
72(9)
Operators and Laws of Logic
81(6)
The Nature of Proof
87(10)
Problem Solving Using Logic
97(7)
Logic Circuits
104(11)
Summary
108(7)
The Nature of Calculation
115(42)
Early Numeration Systems
116(9)
Hindu-Arabic Numeration System
125(4)
Different Numeration Systems
129(6)
Binary Numeration System
135(5)
History of Calculating Devices
140(17)
Summary
153(4)
The Nature of Numbers
157(80)
Natural Numbers
158(8)
Prime Numbers
166(13)
Integers
179(9)
Rational Numbers
188(7)
Irrational Numbers
195(10)
Real Numbers
205(11)
Discrete Mathematics
216(10)
Cryptography
226(11)
Summary
231(6)
The Nature of Algebra
237(90)
Polynomials
238(8)
Factoring
246(6)
Evaluation, Applications, and Spreadsheets
252(12)
Equations
264(8)
Inequalities
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)
Summary
323(4)
The Nature of Geometry
327(96)
Geometry
328(10)
Polygons and Angles
338(9)
Triangles
347(8)
Similar Triangles
355(7)
Right-Triangle Trigonometry
362(8)
Golden Rectangles
370(7)
Euler Circuits and Hamiltonian Cycles
377(13)
Topology and Fractals
390(11)
Chaos
400(1)
Projective and Non-Euclidean Geometries
401(6)
Introduction to Computer LOGO
407(16)
Summary
416(7)
The Nature of Measurement and Growth
423(77)
Perimeter
424(9)
Area
433(10)
Surface Area, Volume, and Capacity
443(13)
Miscellaneous Measurements
456(10)
Exponential Equations
466(8)
Logarithmic Equations
474(9)
Applications of Growth and Decay
483(17)
Summary
493(7)
The Nature of Sequences, Series, and Financial Management
500(74)
Interest
501(14)
Installment Buying
515(9)
Sequences
524(12)
Series
536(11)
Annuities
547(8)
Amortization
555(8)
Summary of Financial Formulas
563(11)
Summary
567(7)
The Nature of Probability
574(73)
Introduction to Probability
575(12)
Mathematical Expectation
587(10)
Probability Models
597(14)
Counting Formulas
611(11)
Calculated Probabilities
622(13)
Extrasensory Perception
632(3)
Rubik's Cube and Instant Insanity
635(12)
Summary
639(8)
The Nature of Statistics
647(76)
Frequency Distributions and Graphs
648(15)
Descriptive Statistics
663(13)
Voting and Apportionment
676(13)
The Normal Curve
689(10)
Correlation and Regression
699(10)
Sampling
709(14)
Summary
715(8)
The Nature of Graphs and Functions
723(84)
Graphing Lines
724(9)
Graphing Half-Planes
733(3)
Graphing Curves
736(6)
Conic Sections
742(14)
Functions
756(9)
What Is Calculus?
765(11)
Limits
776(6)
Derivatives
782(11)
Integrals
793(14)
Summary
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)
Inverse Matrices
835(14)
Systems of Inequalities
849(2)
Modeling with Linear Programming
851(13)
Summary
859(5)
APPENDICES 864(118)
A Problem Solving
864(4)
B Percents
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; z-scores
901(1)
G Glossary
902(31)
H Selected Answers
933(47)
I Credits
980(2)
Index 982


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