مسائل معکوس: فعالیت‌هایی برای دانشجویان (مواد آموزشی کلاس)

This book is excellant,gives you oportunity to fully understand content.Also worth mentioning are numerous examples which shows how theory is intertwined with applications. Problem Solving In Mathematics Is Often Thought Of As A One Way Process. For Example: Take Two Numbers And Multiply Them Together. However For Each Problem There Is Also An Inverse Problem Which Runs In The Opposite Direction: Now Take A Number And Find A Pair Of Factors. Such Problems Are Considerably More Important, In Mathematics And Throughout Science, Than They Might First Appear. This Book Concentrates On These Inverse Problems And How They Can Be Usefully Introduced To Undergraduate Students. A Historical Introduction Sets The Scene And Gives A Cultural Context For What The Rest Of The Book. Chapters Dealing With Inverse Problems In Calculus, Differential Equations And Linear Algebra Then Follow And The Book Concludes With Suggestions For Further Reading. Whatever Their Own Field Of Expertise, This Will Be An Essential Purchase For Anyone Interested In The Teaching Of Mathematics. 1. Introduction To Inverse Problems [1.1 What Are Inverse Problems? -- 1.2 Archimedes' Bath -- 1.3 Tartaglia's Wager -- 1.4 Two Bodies -- 1.5 Another World -- 1.6 The Fountains Of Dijon -- 1.7 The Universe -- 1.8 Got The Time? -- 1.9 The Underworld -- 1.10 Head Games -- 1.11 Why Teach Inverse Problems? -- 1.12 Notes And Suggestions For Further Reading] -- 2. Inverse Problems In Precalculus [2.1 A Little Squirt -- 2.2 A Cheap Shot -- 2.3 Das Rheingold -- 2.4 Splish Splash -- 2.5 Snookered -- 2.6 Goethe's Gondoliers] -- 3. Inverse Problems In Calculus [3.1 Strange Salami -- 3.2 Shape Up! -- 3.3 What Goes Around Comes Around -- 3.4 Hanging Out -- 3.5 Two Will Get You Three -- 3.6 Uncommonly Interesting] -- 4. Inverse Problems In Differential Equations [4.1 Stirred, Not Shaken -- 4.2 Slip Sliding Away -- 4.3 It's A Drag -- 4.4 Ups And Downs -- 4.5 A Hot Time -- 4.6 Weird Weirs] -- 5. Inverse Problems In Linear Algebra [5.1 Cause And Identity -- 5.2 L'art Pour L'art -- 5.3 Nonpolitical Pull -- 5.4 A Whole Lotta Shakin' Goin' On -- 5.5 Globs And Globs -- 5.6 Tip Top] -- Appendix A: Selected Answers & Advice -- Appendix B: Matlab Scripts [b.1 Matlab Scripts -- B.2 Contents -- B.3 Calculus Scripts -- B.4 Differential Equation Scripts -- B.5 Linear Algebra Scripts]. C.w. Groetsch. Includes Bibliographical References (p. 217-218) And Index.