Dugopolski’s College Algebra, Fifth Edition gives readers the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Readers will find enough carefully placed learning aids and review tools to help them do the math without getting distracted from their objectives. Regardless of their goals beyond the course, all readers will benefit from Dugopolski’s emphasis on problem solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition.
The first of two volumes that present 18 papers focusing on topics of interest to Gelfand, a pioneer in functional analysis. They include geometric quantum field theory, representation theory, combinatorial structures underlying various continuous constructions, quantum groups, and geometry. The papers in the second volume tend to be more oriented towards geometry. The papers were presented at an October 1993 conference in New Brunswick, New Jersey. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Mark Dugopolski was born in Menominee, Michigan. After receiving a BS from Michigan State University, he taught high school in Illinois for four years. He received an M.S. in mathematics from Northern Illinois University at DeKalb. He then received a PhD in the area of topology and an MS in statistics from the University of Illinois at Champaign—Urbana. Mark taught mathematics at Southeastern Louisiana University in Hammond for twenty-five years and now holds the rank of Professor Emeritus of Mathematics. He has been writing textbooks since 1988. He is married and has two daughters. In his spare time he enjoys tennis, jogging, bicycling, fishing, kayaking, gardening, bridge, and motorcycling.
Real Numbers and Their Properties.
Rational Exponents and Radicals.
1. Equations and Inequalities.
Linear and Absolute Value Inequalities.
Quadratic and Rational Inequalities.
2. Functions and Graphs.
The Cartesian Coordinate System.
Graphs of Relations and Functions.
Transformations and Symmetry of Graphs.
Operations with Functions.
3. Polynomial and Rational Functions.
Zeros of Polynomial Functions.
The Theory of Equations.
Graphs of Polynomial Functions.
Graphs of Rational Functions.
4. Exponential and Logarithmic Functions.
Properties of Logarithms.
More Equations and Applications.
5. Systems of Equations and Inequalities.
Systems of Linear Equations in Two Variables.
Systems of Linear Equations in Three Variables.
Nonlinear Systems of Equations.
Inequalities and Systems of Inequalities in Two Variables.
6. Matrices and Determinants.
Solving Linear Systems Using Matrices.
Operations with Matrices.
Multiplication of Matrices.
Inverses of Matrices.
Solution of Linear Systems in Two Variables.
Solution of Linear Systems in Three Variables UsingDeterminants.
7. The Conic Sections.
The Ellipse and the Circle.
8. Sequences, Series, and Probability.
Geometric Sequences and Series.
Counting and Permutations.
Combinations, Labeling, and the Binomial.