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The Nature of Problem Solving in Geometry and Probability: A Liberal Arts - GOOD

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Item specifics

Condition
Good: A book that has been read but is in good condition. Very minimal damage to the cover including ...
Brand
Unbranded
Book Title
The Nature of Problem Solving in Geometry and Probability: A Lib
MPN
Does not apply
ISBN
9780534421489
Subject Area
Mathematics
Publication Name
Nature of Problem Solving in Geometry and Probability : a Liberal Arts Approach
Item Length
10.2 in
Publisher
Brooks/Cole
Subject
Probability & Statistics / General, Geometry / General, General, Algebra / Elementary
Publication Year
2003
Type
Textbook
Format
Hardcover
Language
English
Item Height
0.8 in
Author
Karl J. Smith
Item Width
8.3 in
Item Weight
44.1 Oz
Number of Pages
592 Pages

About this product

Product Information

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.

Product Identifiers

Publisher
Brooks/Cole
ISBN-10
0534421482
ISBN-13
9780534421489
eBay Product ID (ePID)
6020744

Product Key Features

Author
Karl J. Smith
Publication Name
Nature of Problem Solving in Geometry and Probability : a Liberal Arts Approach
Format
Hardcover
Language
English
Subject
Probability & Statistics / General, Geometry / General, General, Algebra / Elementary
Publication Year
2003
Type
Textbook
Subject Area
Mathematics
Number of Pages
592 Pages

Dimensions

Item Length
10.2 in
Item Height
0.8 in
Item Width
8.3 in
Item Weight
44.1 Oz

Additional Product Features

LCCN
2003-109999
Lc Classification Number
Qa63.S629 2004
Reviews
It’s the best book out there. We tried another book last semester just to be different and that was a disaster. So we’ll...keep with NATURE OF MATHEMATICS., Prologue ? Why Math? An Historical Overview.1. THE NATURE OF PROBLEM SOLVING.Problem Solving. Inductive and Deductive Reasoning. Scientific Notation and Estimation. Finite and Infinite.2. 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.3. 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.4. THE NATURE OF PROBABILITY.Introduction to Probability. Mathematical Expectation. Probability Models. Calculated Probabilities. Binomial Probabilities. Guest Essay: Extrasensory Perception.5. 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.6. THE NATURE OF GEOMETRY.Geometry. Polygons and Angles. Triangles. Similar Triangles. Right Triangle Trigonometry. Golden Rectangles. Projective and Non-Euclidian Geometries.7. THE NATURE OF MEASUREMENT.Perimeter. Area. Surface Area, Volume and Capacity. Miscellaneous Measurements.8. THE NATURE OF GROWTH.Logarithms and Exponents. Exponential Equations. Logarithmic Equations. Applications of Growth and Decay.9. 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, SocialSciences, And In The Humanities.Appendices:A. Glossary. B. Selected Answers. C. Credits. D. Index., I have found more than enough material in each exercise set that keeps my students? interest. In light of the fact that most...of my students are not interested in math or science, I have welcomed the sight of the many problems that are conceptual rather than computational in nature., I have found more than enough material in each exercise set that keeps my students’ interest. In light of the fact that most...of my students are not interested in math or science, I have welcomed the sight of the many problems that are conceptual rather than computational in nature., One of the strengths of this text is the Presentation of topics that are not always computational in nature. This involves letting students see topics that they do not typically view as being mathematical and explore concepts in ways other than by just pushing buttons on a calculator., It's the best book out there. We tried another book last semester just to be different and that was a disaster. So we'll...keep with NATURE OF MATHEMATICS., I have found more than enough material in each exercise set that keeps my students' interest. In light of the fact that most...of my students are not interested in math or science, I have welcomed the sight of the many problems that are conceptual rather than computational in nature., Even though I do not teach geometry or metrics from your text, I wish I could. Your units on these topics are excellent, better than those in most other texts I've seen or used., I love the color, the pictures, the cartoons, the attempt to make the pages come alive. Your efforts have not gone unnoticed, at least not by me.
Table of Content
Prologue – Why Math? An Historical Overview. 1. THE NATURE OF PROBLEM SOLVING. Problem Solving. Inductive and Deductive Reasoning. Scientific Notation and Estimation. Finite and Infinite. 2. 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. 3. 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. 4. THE NATURE OF PROBABILITY. Introduction to Probability. Mathematical Expectation. Probability Models. Calculated Probabilities. Binomial Probabilities. Guest Essay: Extrasensory Perception. 5. 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. 6. THE NATURE OF GEOMETRY. Geometry. Polygons and Angles. Triangles. Similar Triangles. Right Triangle Trigonometry. Golden Rectangles. Projective and Non-Euclidian Geometries. 7. THE NATURE OF MEASUREMENT. Perimeter. Area. Surface Area, Volume and Capacity. Miscellaneous Measurements. 8. THE NATURE OF GROWTH. Logarithms and Exponents. Exponential Equations. Logarithmic Equations. Applications of Growth and Decay. 9. 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: A. Glossary. B. Selected Answers. C. Credits. D. Index.
Copyright Date
2004
Target Audience
College Audience
Dewey Decimal
512.9
Dewey Edition
22
Illustrated
Yes

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