By Ethan D. Bloch

ISBN-10: 1441971262

ISBN-13: 9781441971265

This textbook is designed to introduce undergraduates to the writing of rigorous mathematical proofs, and to primary mathematical principles comparable to units, capabilities, kinfolk, and cardinality. The booklet serves as a bridge among computational classes resembling calculus and extra theoretical classes resembling linear algebra, summary algebra, and actual research.

This moment variation has been considerably stronger, whereas keeping the stability of themes and cautious writing of the former version. half 1 offers common sense and uncomplicated evidence thoughts; half 2 completely covers primary fabric equivalent to units, capabilities and kin; and half three introduces a number of additional themes corresponding to teams, combinatorics and sequences, and indicates avenues for autonomous scholar explorations.

A light, pleasant kind is used, within which motivation and casual dialogue play a key position, and but excessive criteria in rigor and in writing are by no means compromised.

Reviews of the 1st version:

*This is a well-written ebook, in accordance with very sound pedagogical principles. it'd be a good selection as a textbook for a 'transition' course.*

—Zentralblatt Math

*'Proofs and basics' has many strengths. One impressive power is its very good organization... There are huge workout units during the book... the workouts are good built-in with the textual content and fluctuate effectively from effortless to hard... possibly the book’s maximum energy is the author’s zeal and talent for aiding scholars write arithmetic better.*

—MAA Online