An Invitation to Abstract Mathematics

From the reviews:

“Bajnok’s new book truly invites students to enjoy the beauty, power, and challenge of abstract mathematics. … Bajnok’s book can most certainly be used as a text for a traditional transition course designed for mathematics majors. He wrote the book with a broader audience in mind, and personally uses it at Gettysburg College for anyone interested in deepening his or her mathematical knowledge … .” (Jill Dietz, MAA Reviews, May, 2014)

“This book can be added to the growing population of ‘transition’ books--texts aimed at bridging the leap from the traditional calculus sequence to upper-division coursework in mathematics. The topics typically associated with such a text are all present: basic logic, predicates and quantifiers, induction, relations, and functions. … any reader able to complete this work and its problems will be suitably prepared for further studies in mathematics. Summing Up: Recommended. Lower- and upper-division undergraduates.” (D. S. Larson, Choice, Vol. 51 (5), January, 2014)

“This textbook aims for the spot in many departments’ curriculum where students are introduced to advanced mathematics. … the author introduces the game in an applied setting that the reader will likely find both compelling and intriguing: a set of options for two corporations in competition. … This text definitely focuses on mathematics. The material covers a wide range of material, probably more than most instructors will cover in one semester … .” (John Perry, zbMATH, Vol. 1274, 2013)