Bob Miller's Geometry for the Clueless

Bob Miller (East Brunswick, NJ) has been a lecturer in Mathematics at City College of New York, a branch of the City University of New York, for more than twenty-eight years.

• What is Geometry? Why Should I Take It?CHAPTER 1 The Basics: Undefined Words, Defined Words, Axioms, and PostulatesCHAPTER 2 The Beginnings of ProofsCHAPTER 3 Improvement of Reasoning: Statement, Converse,Inverse, Contrapositive; Necessary and Sufficient Conditions; If and Only IfCHAPTER 4 Parallel Lines, Forever TogetherCHAPTER 5 Mostly TrianglesCHAPTER 7 Similar Figures and Pythagoras Lives!!!CHAPTER 8 Quadrilaterals Squarely DoneCHAPTER 9 Interior and Exterior AnglesCHAPTER 10 Areal Search & Securing the PerimeterCHAPTER 11 Volumes and Surface AreasCHAPTER 12 Circle ICHAPTER 13 Lines (The Straight Kind) and Parabolas I (Not Straight)CHAPTER 14 Distance Formula, Midpoint Formula, Circle II,and Analytic Geometry ProofsCHAPTER 15 Functions, Translantions, Stretches, Contractions, and FlipsCHAPTER 16 CHAPTER 17 Right and Not So Right-Angle Trig, Law of Sines, and Law of CosinesCHAPTER 18 ConstructionsCHAPTER 19 Indirect Proofs; Disproving by Counterexample; and Too Much, Just Enough, or Not EnoughCHAPTER 20 Miscellaneous: Locus; Parallel Lines; and Larger and Smaller Sides and AnglesCHAPTER 21 Twenty-First-Century SAT Spin on GeometryCHAPTER 22 Always-Sometimes-Never QuestionsCHAPTER 23 Answers: You Should Always Draw the Picture If You Are Having ProblemsAppendix: A Radical ChapterIndexAcknowlegementAbout Bob Miller... In His Own Words