Nature of Problem Solving in Geometry and Probability A Liberal Arts Approach

ISBN-10: 0534421482
ISBN-13: 9780534421489
Edition: 2004
Authors: Karl J. Smith
List price: $242.95 Buy it from $52.44
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Description: Liberal Arts mathematics books often cover much more material than can be addressed in a one-semester course. Karl Smith has created a solution to this problem with his new book: THE NATURE OF PROBLEM SOLVING IN GEOMETRY AND PROBABILITY. Loyal  More...

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Book details

List price: $242.95
Copyright year: 2004
Publisher: Brooks/Cole
Publication date: 9/4/2003
Binding: Hardcover
Pages: 592
Size: 8.50" wide x 10.50" long x 0.75" tall
Weight: 2.794
Language: English

Liberal Arts mathematics books often cover much more material than can be addressed in a one-semester course. Karl Smith has created a solution to this problem with his new book: THE NATURE OF PROBLEM SOLVING IN GEOMETRY AND PROBABILITY. Loyal customers of Karl Smith's books laud his clear writing, coverage of historical topics, selection of topics, and emphasis on problem solving. Based on the successful NATURE OF MATHEMATICS text, this new book is designed to give you only the chapters and information you need, when you need it. Smith takes great care to provide insight into precisely what mathematics is--the nature of mathematics--what it can accomplish, and how it is pursued as a human enterprise. At the same time, Smith emphasizes Polya's problem-solving method throughout the text so students can take from the course an ability to estimate, calculate, and solve problems outside the classroom. Moreover, Smith's writing style gives students the confidence and ability to function mathematically in their everyday lives. This new text emphasizes problem solving and estimation, which, along with numerous in-text study aids, encourage students to understand the concepts as well as mastering techniques.

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.

Prologue + Why Math? An Historical Overview
The Nature Of Problem Solving
Problem Solving
Inductive and Deductive Reasoning
Scientific Notation and Estimation
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 Set Theory And Counting
Sets, Subsets, and Venn Diagrams
Combined Operations with Sets
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
Binomial Probabilities
Guest Essay: Extrasensory Perception
The Nature Of Statistics
Frequency Distributions and Graphs
Measures of Central Tendency
Measures of Dispersion
The Normal Curve
Correlation and Regression
Polls and Margin of Error
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
Logarithms and Exponents
Exponential Equations
Logarithmic Equations
Applications of Growth and Decay
The Nature Of Networks And Graph Theory
Euler Circuits and Hamiltonian Cycles
Trees and Minimum Spanning Trees
Topology and Fractals
Guest Essay: Chaos
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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