01646nam a2200265Ia 4500 TVU_14112 210423s9999 xx 000 0 und d 0534410197 9780534410193 eng 510 D435 Douglas Smith A Transition to Advanced Mathematics Douglas Smith, Maurice Eggen, Richard St.Andre CA Cengage Learning, Inc 2004 372 p. ill. 23 cm This book introduces basic proof-writing techniques, naive set theory, cardinality, functions, and also includes a very brief introduction to abstract algebra and real analysis. I thought that the section on proofs was quite well done even though there are better textbooks which cover this topic more extensively with more examples. The examples are generally simple and are pulled almost exclusively from number theory, but they provide understanding. The set theory chapter is not very rigorous, but it meets the goals of the type of student who would take such a class. A more rigorous (i.e. axiomatic) introduction to set theory would require an entire semester, and the goal of this book is simply to provide students with just enough tools to prepare themselves for classes like Abstract/Modern Algebra, Real Analysis, and Set Theory, but not much more. Also, I consider the proofs to be generally well-written although there are occasional mistakes Mathematics Douglas Smith; Maurice Eggen; Richard St.Andre Trung tâm Học liệu Trường Đại học Trà Vinh