A Readable Introduction to Real Mathematics

A Readable Introduction to Real Mathematics
Author :
Publisher : Springer
Total Pages : 171
Release :
ISBN-10 : 9783319056548
ISBN-13 : 3319056549
Rating : 4/5 (549 Downloads)

Book Synopsis A Readable Introduction to Real Mathematics by : Daniel Rosenthal

Download or read book A Readable Introduction to Real Mathematics written by Daniel Rosenthal and published by Springer. This book was released on 2014-07-03 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and to other subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic high school algebra; some trigonometry is needed for Chapters 9 and 12. Topics covered include: mathematical induction - modular arithmetic - the fundamental theorem of arithmetic - Fermat's little theorem - RSA encryption - the Euclidean algorithm -rational and irrational numbers - complex numbers - cardinality - Euclidean plane geometry - constructability (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass). This textbook is suitable for a wide variety of courses and for a broad range of students in the fields of education, liberal arts, physical sciences and mathematics. Students at the senior high school level who like mathematics will also be able to further their understanding of mathematical thinking by reading this book.


A Readable Introduction to Real Mathematics Related Books

A Readable Introduction to Real Mathematics
Language: en
Pages: 218
Authors: Daniel Rosenthal
Categories: Mathematics
Type: BOOK - Published: 2019-04-02 - Publisher: Springer

DOWNLOAD EBOOK

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fu
How to Prove It
Language: en
Pages: 401
Authors: Daniel J. Velleman
Categories: Mathematics
Type: BOOK - Published: 2006-01-16 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text
Physics for Mathematicians
Language: en
Pages: 733
Authors: Michael Spivak
Categories: Mechanics
Type: BOOK - Published: 2010 - Publisher:

DOWNLOAD EBOOK

Measure and Integration
Language: en
Pages: 255
Authors: Leonard F. Richardson
Categories: Mathematics
Type: BOOK - Published: 2009-07-01 - Publisher: John Wiley & Sons

DOWNLOAD EBOOK

A uniquely accessible book for general measure and integration, emphasizing the real line, Euclidean space, and the underlying role of translation in real analy
Mathematics, the Loss of Certainty
Language: en
Pages: 0
Authors: Morris Kline
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher:

DOWNLOAD EBOOK