Foundations of Higher Mathematics, 3/e (Hardcover)

This text introduces students to basic techniques of writing proofs and acquaints them with some fundamental ideas. The authors assume that students using this text have already taken courses in which they developed the skill of using results and arguments that others have conceived. This text picks up where the others left off -- it develops the students' ability to think mathematically and to distinguish mathematical thinking from wishful thinking.

這段文字介紹了學生們寫證明的基本技巧，並使他們熟悉一些基本概念。作者假設使用這本教材的學生已經修過其他課程，並且已經具備使用他人構思的結果和論點的能力。這本教材從其他教材結束的地方開始，培養學生們的數學思維能力，並區分數學思維和一廂情願的思維。