By Daniel Rosenthal,David Rosenthal,Peter Rosenthal

Designed for an undergraduate path or for self sustaining research, this article provides refined mathematical rules in an hassle-free and pleasant style. the elemental goal of this e-book is to have interaction the reader and to educate a true figuring out of mathematical pondering whereas conveying the sweetness and magnificence of arithmetic. The textual content makes a speciality of instructing the certainty of mathematical proofs. the fabric lined has purposes either to arithmetic and to different topics. The publication features a huge variety of routines of various trouble, designed to assist strengthen simple techniques and to inspire and problem the reader. the only prerequisite for knowing the textual content is simple highschool algebra; a few trigonometry is required for Chapters nine and 12. issues lined include: mathematical induction - modular mathematics - the basic theorem of mathematics - Fermat's little theorem - RSA encryption - the Euclidean algorithm -rational and irrational numbers - advanced numbers - cardinality - Euclidean airplane 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 large choice of classes and for a huge variety of scholars within the fields of schooling, liberal arts, actual sciences and arithmetic. scholars on the senior highschool point who like arithmetic may also be capable of extra their figuring out of mathematical considering by way of studying this book.

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A Readable Introduction to Real Mathematics (Undergraduate Texts in Mathematics) by Daniel Rosenthal,David Rosenthal,Peter Rosenthal

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