By David Rosenthal, Peter Rosenthal, Daniel Rosenthal

Designed for an undergraduate direction or for self sufficient examine, this article provides subtle mathematical rules in an straight forward and pleasant style. the elemental function of this booklet is to have interaction the reader and to coach a true realizing of mathematical considering whereas conveying the sweetness and magnificence of arithmetic. The textual content specializes in educating the certainty of mathematical proofs. the fabric lined has purposes either to arithmetic and to different matters. The ebook includes a huge variety of workouts of various trouble, designed to assist make stronger uncomplicated innovations and to inspire and problem the reader. the only prerequisite for realizing the textual content is easy highschool algebra; a few trigonometry is required for Chapters nine and 12. themes lined include:

* mathematical induction

* modular arithmetic

* the basic theorem of arithmetic

* Fermat's little theorem

* RSA encryption

* the Euclidean algorithm

* rational and irrational numbers

* advanced numbers

* cardinality

* Euclidean aircraft geometry

* constructability (including an explanation that an attitude of 60 levels can't be trisected with a straightedge and compass)

This textbook is acceptable for a wide selection of classes and for a large diversity of scholars within the fields of schooling, liberal arts, actual sciences and arithmetic. scholars on the senior highschool point who like arithmetic can also be in a position to additional their knowing of mathematical pondering via studying this publication.