For instructors of liberal arts mathematics classes who focus on problem-solving, Harold Jacobs's remarkable textbook has long been the answer, helping teachers connect with of math-anxious students. Drawing on over thirty years of classroom experience, Jacobs shows students how to make observations, discover relationships, and solve problems in the context of ordinary experience. (WorldCat)

Subjects:

• The path of billiard ball

• More billiard-ball mathematics

• Inductive reasoning: Finding and extending patterns

• The limitations of inductive reasoning

• Deductive reasoning: Mathematical proof

• Number tricks and deductive reasoning

• Arithmetic sequences: Growth at a constant rate

• Geometric sequences: Growth at an increasing rate

• The binary sequence

• The sequence of squares

• The sequence of cubes

• The Fibonacci sequence

• The idea of a function

• Descartes and the coordinate graph

• Graphing linear functions

• Functions with parabolic graphs

• More functions with curved graphs

• Interpolation and extrapolation: Guessing between and beyond

• Large numbers

• Scientific notation

• An introduction to logarithms

• Logarithms and scientific notation

• Computing with Logarithms

• Logarithmic scales

• Symmetry

• Regular polygons

• Mathematical mosaics

• Regular polyhedra: The platonic solids

• Semiregular polyhedra

• Pyramids and prisms

• The circle and the ellipse

• The parabola

• They hyperbola

• The sine curve

• Spirals

• The cycloid

• The fundamental counting principle

• Permutations

• More on permutations

• Combinations

• Probability:The measure of chance

• Binomial probability

• Pascal's triangle

• Dice games and probability

• Independent and dependent events

• The birthday problem: Complementary events

• Organizing data: Frequency distributions

• The breaking of ciphers and codes: An application of statistics

• Measures of location

• Measures of variability

• Displaying data: Statistical graphs

• Collecting data: Sampling

• The mathematics of distortion

• The seven bridges of Königsberg: An introduction to networks

• Euler paths

• Trees

• The Möbius strip and other surfaces.

(WorldCat)