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

Name: Nature of Problem Solving in Geometry and Probability A Liberal Arts Approach
Availability: InStock
ISBN: 9780534421489

ISBN-10: 0534421482

ISBN-13: 9780534421489

Edition: 2004

Authors: Karl J. Smith

List price: $199.95

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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…

Book details

List price: $199.95
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: 2.772
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.



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