Nature of Mathematics (with Cengagenow and Personal Tutor Printed Access Card)

ISBN-10: 0495012726

ISBN-13: 9780495012726

Edition: 11th 2007

Authors: Karl J. Smith

List price: $323.95
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Description:

Written for liberal arts students and based on the belief that learning to solve problems is the principal reason for studying mathematics, the major theme of this book is problem solving. In the first section, Karl Smith introduces students to Polya's problem-solving techniques and then shows students how to use these techniques throughout the book to solve unfamiliar problems. In addition to the problem solving emphasis, the book is well renowned for its clear writing, coverage of historical topics, selection of topics, level, and exercise sets that feature great applications problems. Since the first edition of Smith's text was published, thousands of students have "experienced" mathematics rather than just doing problems. Smith's writing style gives students the confidence and ability to utilize mathematics in their everyday lives. The emphasis on problem solving and estimation, along with numerous in-text study aids, encourages students to understand the concepts while mastering techniques.
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Book details

List price: $323.95
Edition: 11th
Copyright year: 2007
Publisher: Brooks/Cole
Publication date: 9/29/2006
Binding: Hardcover
Pages: 1088
Size: 8.25" wide x 10.25" long x 1.50" tall
Weight: 4.444
Language: English

Karl Smith is professor emeritus at Santa Rosa Junior College in Santa Rosa, California. He has written over 36 mathematics textbooks and believes that students can learn mathematics if it is presented to them through the use of concrete examples designed to develop original thinking, abstraction, and problem-solving skills. Over one million students have learned mathematics from Karl Smith's textbooks.

The Nature of Problem Solving
Problem Solving
Inductive and Deductive Reasoning
Scientific Notation and Estimation
The Nature Of Sets
Sets, Subsets, and Venn Diagrams
Operations with Sets
Applications of Sets
Finite and Infinite
The Nature Of Logic
Deductive Reasoning
Truth Tables and the Conditional
Operators and Laws of Logic
The Nature of Proof
Problem Solving Using Logic
Logic Circuits
The Nature Of Numeration Systems
Early Numeration Systems
Hindu-Arabic Numeration Systems
Different Numeration Systems
Binary Numeration System
History of Calculating Devices
The Nature Of Numbers
Natural Numbers
Prime Numbers
Integers
Rational Numbers
Irrational Numbers
Groups, Fields, and Real Numbers
Discrete Mathematics
Cryptography
The Nature Of Algebra
Polynomials
Factoring
Evaluation, Applications, and Spreadsheets
Equations
Inequalities
Algebra in Problem Solving
Ratios, Proportions, and Problem Solving
Percents
Modeling Uncategorized Problems
The Nature Of Geometry
Geometry
Polygons and Angles
Triangles
Similar Triangles
Right Triangle Trigonometry
Golden Rectangles
Projective and Non-Euclidian Geometries
The Nature Of Measurement
Perimeter
Area
Surface Area, Volume and Capacity
Miscellaneous Measurements
The Nature Of Growth
Exponential Equations
Logarithmic Equations
Applications of Growth and Decay
The Nature Of Sequences, Series and Financial Management
Interest
Installment Buying
Sequences
Series
Annuities
Amortization
Summary of Financial Formulas
The Nature Of Counting
Counting Formulas
Permutations
Combinations
Binomial Theorem
Counting without Counting
Rubik's Cube and Instant Insanity
The Nature Of Probability
Introduction to Probability
Mathematical Expectation
Probability Models
Calculated Probabilities
Guest Essay: Extrasensory Perception
The Binomial Distribution
The Nature Of Statistics
Frequency Distributions and Graphs
Measures of Central Tendency
Measures of Dispersion
The Normal Curve
Correlation and Regression
Sampling
The Nature Of Graphs And Functions
Cartesian Coordinates and Graphing Lines
Graphing Half-Planes
Graphing Curves
Conic Sections
Functions
The Nature Of Mathematical Systems
Systems of Linear Equations
Problem Solving with Systems
Matrix Solution of a System of Equations
Inverse Matrices
Systems of Inequalities
Modeling with Linear Programming
The Nature Of Networks And Graph Theory
Euler Circuits and Hamiltonian Cycles
Trees and Minimum Spanning Trees
Topology and Fractals
Guest Essay: What Good are Fractals?
Guest Essay: Chaos
The Nature Of Voting And Apportionment
Voting
Voting Dilemmas
Apportionment
Apportionment Flaws
The Nature Of Calculus
What is Calculus? Limits
Derivatives
Integrals
Epilogue
Why Not Math? Mathematics in the Natural Sciences, Social Sciences, and in the Humanities
Appendices
Glossary
Selected Answers
Credits
Index
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