The Method of Coordinates [Paperback]

The need for improved mathematics education at the high school andcollege levels has never been more apparent than in the 1990s. Asearly as the 1960s, I. M. Gel'fand and his colleagues in the USSRthought hard about this same question and developed a style forpresenting basic mathematics in a clear and simple form that engagedthe curiosity and intellectual interest of thousands of high schooland college students. These same ideas, this same content, unchangedby over thirty years of experience and mathematical development, areavailable in the present books to any student who is willing to read,to be stimulated and to learn. The Method of Coordinates is a way of transferring geometric imagesinto formulas, a method for describing pictures by numbers and lettersdenoting constants and variables. It is fundamental to the study ofcalculus and other mathematical topics. Teachers of mathematics willfind here a fresh understanding of the subject and a valuable path tothe training of students in mathematical concepts and skills.

All through both volumes [Functions & Graphs and The Methods of Coordinates] , one finds a careful description of the step-by-step thinking process that leads up to the correct definition of a concept or to an argument that clinches in the proof of a theorem. We are ... very fortunate that an account of this caliber has finally made it to printed pages... Anyone who has taken this guided tour will never be intimidated by n ever again... High school students (or teachers) reading through these two books would learn an enormous amount of good mathematics. More importantly, they would also get a glimpse of how mathematics is done. -- H. Wu, The Mathematical Intelligencer

The need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990's. As early as the 1960's, I.M. Gelfand and his colleagues in the USSR thought hard about this same question and developlÃ'