Proofs and fundamentals : a first course in abstract mathematics. (IN ENGLISCHER SPRACHE),

Bloch, Ethan D.,

ISBN 10: 3764341114 / ISBN 13: 9783764341114

Published by Boston ; Basel ; Berlin : Birkhäuser, 2000

About this Item

XVII, 424 Seiten: Ill., graph. Darst., Gutes Exemplar Sprache: Englisch Gewicht in Gramm: 788. Seller Inventory # 67176

Bibliographic Details

Title: Proofs and fundamentals : a first course in ...

Publisher: Boston ; Basel ; Berlin : Birkhäuser

Publication Date: 2000

Binding: 8°, gelber OPp mit Rückentitel

About this title

Synopsis:

This text is designed as a "transition" textbook to introduce undergraduates to the writing of vigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. It serves as a bridge between computational courses, e.g. calculus, and more theoretical, proofs-oriented courses such as linear devoted to the proper writing of proofs and over 400 problem sets, which are mostly proofs rather than example problems. Because of the exposition and choice of topics this book should be of interest for classroom use as well as for the general reader who wants to gain a deeper understanding of the language of mathematics. The material of this text was chosen because it is needed in the advanced mathematics curriculum, yet it is often not taught in any other course at the level of calculus or below.

Review:

From the book reviews:

“The contents of the book is organized in three parts ... . this is a nice book, which also this reviewer has used with profit in his teaching of beginner students. It is written in a highly pedagogical style and based upon valuable didactical ideas.” (R. Steinbauer, Monatshefte für Mathematik, Vol. 174, 2014)

“Books in this category are meant to teach mathematical topics and techniques that will become valuable in more advanced courses. This book meets these criteria. ... This book is well suited as a textbook for a transitional course between calculus and more theoretical courses. I also recommend it for academic libraries.” (Edgar R. Chavez, ACM Computing Reviews, February, 2012)

“This is an improved edition of a good book that can serve in the undergraduate curriculum as a bridge between computationally oriented courses like calculus and more abstract courses like algebra.” (Teun Koetsier, Zentralblatt MATH, Vol. 1230, 2012)