A Survey of Mathematics with Applications
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A Survey of Mathematics with Applications

A Survey of Mathematics with Applications


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About the Book

Table of Contents:
Chapter 1 Critical Thinking Skills 1.1 Inductive Reasoning 1.2 Estimation 1.3 Problem Solving   Chapter 2 Sets 2.1 Set Concepts 2.2 Subsets 2.3 Venn Diagrams and Set Operations 2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets 2.5 Application of Sets 2.6 Infinite Sets   Chapter 3 Logic 3.1 Statements and Logical Connectives 3.2 Truth Tables for Negation, Conjunction, and Disjunction 3.3 Truth Tables for the Conditional and Biconditional 3.4 Equivalent Statements 3.5 Symbolic Arguments 3.6 Euler Diagrams and Syllogistic Arguments 3.7 Switching Circuits   Chapter 4 Systems of Numeration 4.1 Additive, Multiplicative, and Ciphered Systems of Numeration 4.2 Place-Value or Positional-Value Numeration Systems 4.3 Other Bases 4.4 Computation in Other Bases 4.5 Early Computational Methods   Chapter 5 Number Theory and the Real Number System 5.1 Number Theory 5.2 The Integers 5.3 The Rational Numbers 5.4 The Irrational Numbers and the Real Number System 5.5 Real Numbers and Their Properties 5.6 Rules of Exponents and Scientific Notation 5.7 Arithmetic and Geometric Sequences 5.8 Fibonacci Sequence   Chapter 6 Algebra, Graphs, and Functions 6.1 Order of Operations 6.2 Linear Equations In One Variable 6.3 Formulas 6.4 Applications of Linear Equations In One Variable 6.5 Variation 6.6 Linear Inequalities 6.7 Graphing Linear Equations 6.8 Linear Inequalities In Two Variables 6.9 Solving Quadratic Equations by Using Factoring and By Using the Quadratic Formula 6.10 Functions and Their Graphs   Chapter 7 Systems of Linear Equations and Inequalities 7.1 Systems of Linear Equations 7.2 Solving Systems of Linear Equations By the Substitution and Addition Methods 7.3 Matrices 7.4 Solving Systems of Linear Equations by Using Matrices 7.5 Systems of Linear Inequalities 7.6 Linear Programming   Chapter 8 The Metric System 8.1 Basic Terms and Conversions Within The Metric System 8.2 Length, Area, and Volume 8.3 Mass and Temperature 8.4 Dimensional Analysis and Conversions To and From the Metric System   Chapter 9 Geometry 9.1 Points, Lines, Planes, and Angles 9.2 Polygons 9.3 Perimeter and Area 9.4 Volume and Surface Area 9.5 Transformational Geometry, Symmetry, and Tessellations 9.6 Topology 9.7 Non-Euclidean Geometry and Fractal Geometry   Chapter 10 Mathematical Systems 10.1 Groups 10.2 Finite Mathematical Systems 10.3 Modular Arithmetic   Chapter 11 Consumer Mathematics 11.1 Percent 11.2 Personal Loans and Simple Interest 11.3 Compound Interest 11.4 Installment Buying 11.5 Buying a House with a Mortgage 11.6 Ordinary Annuities, Sinking Funds, and Retirement Investments   Chapter 12 Probability 12.1 The Nature of Probability 12.2 Theoretical Probability 12.3 Odds 12.4 Expected Value (Expectation) 12.5 Tree Diagrams 12.6 Or and And Problems 12.7 Conditional Probability 12.8 The Counting Principle and Permutations 12.9 Combinations 12.10 Solving Probability Problems By Using Combinations 12.11 Binomial Probability   Chapter 13 Statistics 13.1 Sampling Techniques 13.2 The Misuses of Statistics 13.3 Frequency Distributions 13.4 Statistical Graphs 13.5 Measures of Central Tendency 13.6 Measures of Dispersion 13.7 The Normal Curve 13.8 Linear Correlation and Regression    

About the Author :
<> Allen Angel received his BS and MS in mathematics from SUNY at New Paltz. He completed additional graduate work at Rutgers University. He taught at Sullivan County Community College and Monroe Community College, where he served as chairperson of the Mathematics Department. He served as Assistant Director of the National Science Foundation at Rutgers University for the summers of 1967 - 1970. He was President of The New York State Mathematics Association of Two Year Colleges (NYSMATYC). He also served as Northeast Vice President of the American Mathematics Association of Two Year Colleges (AMATYC). Allen lives in Palm Harbor, Florida but spends his summers in Penfield, New York. He enjoys playing tennis and watching sports. He also enjoys traveling with his wife Kathy.     Christine Abbott received her undergraduate degree in mathematics from SUNY Brockport and her graduate degree in mathematics education from Syracuse University. Since then she has taught mathematics at Monroe Community College and has recently chaired the department. In her spare time she enjoys watching sporting events, particularly baseball, college basketball, college football and the NFL. She also enjoys spending time with her family, traveling, and reading     Dennis Runde has a BS degree and an MS degree in Mathematics from the University of Wisconsin--Platteville and Milwaukee respectively. He has a PhD in Mathematics Education from the University of South Florida. He has been teaching for over fifteen years at Manatee Community College in Florida and for almost ten at Saint Stephen's Episcopal School. Besides coaching little league baseball, his other interests include history, politics, fishing, canoeing, and cooking. He and his wife Kristin stay busy keeping up with their three sons--Alex, Nick, and Max.


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Product Details
  • ISBN-13: 9780321501073
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Height: 224 mm
  • No of Pages: 1048
  • Weight: 2130 gr
  • ISBN-10: 0321501071
  • Publisher Date: 26 Oct 2007
  • Binding: Hardback
  • Language: English
  • Spine Width: 38 mm
  • Width: 261 mm


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