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Nature of Problem Solving in Algebra A Liberal Arts Approach

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ISBN-10: 0534421474

ISBN-13: 9780534421472

Edition: 2004

Authors: Karl J. Smith

List price: $217.95
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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 ALGEBRA. 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…    
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Book details

List price: $217.95
Copyright year: 2004
Publisher: Brooks/Cole
Publication date: 9/9/2003
Binding: Hardcover
Pages: 592
Size: 8.00" wide x 10.00" long x 0.75" tall
Weight: 2.882
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 Numeration Systems
Early Numeration Systems
Hindu-Arabic Numeration Systems
Different Numeration Systems
Binary Numeration Systems
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 Growth
Logarithms and Exponents
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 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: Chaos
The Nature Of Voting And Apportionment
Voting
Voting Dilemmas
Apportionment
Apportionment Flaws
Epilogue--Why Not Math? Mathematics In The Natural Sciences, Social Sciences, And In The Humanities
Appendices
Glossary
Selected Answers
Credits
Index