Description: Readable Introduction to Real Mathematics, Paperback by Rosenthal, Daniel; Rosenthal, David; Rosenthal, Peter, ISBN 3030807312, ISBN-13 9783030807313, Brand New, Free shipping in the US
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 teach mathematical thinking while conveying the beauty and elegance of mathematics. Th contains a large number of exercises of varying difficulty, some of which are designed to help reinforce basic concepts and others of which will challenge virtually all readers. The sole prerequisite for reading this text is high school algebra. Topics covered include: * mathematical induction * modular arithmetic * the Fundamental Theorem of Arithmetic * Fermats Little Theorem * RSA encryption * the Euclidean algorithm * rational and irrational numbers * complex numbers * cardinality * Euclidean plane geometry * constructibility (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass)* infinite series * higher dimensional spaces.
This textbook is suitable for a wide variety of courses and for a broad range of students of mathematics and other subjects. Mathematically inclined senior high school students will also be able to read this book.
From the reviews of the first edition:
“It is carefully written in a precise but readable and engaging style… I thoroughly enjoyed reading this recent addition to the Springer Undergraduate Texts in Mathematics series and commend this clear, well-organised, unfussy text to its target audiences.” (Nick Lord, The Mathematical Gazette, Vol. 100 (547), 2016)
“Th is an introduction to real mathematics and is very readable. … Th is indeed a joy to read, and would be an excellent text for an 'appreciation of mathematics’ course, among other possibilities.” (. Heuer, Mathematical Reviews, February, 2015)
“Many a benighted book misguidedly addresses the need [to teach mathematical thinking] by framing reasoning, or narrowly, proof, not as pervasive modality but somehow as itself an autonomous mathematical subject. Fortunately, the present book gets it right.... [presenting] well-chosen, basic, conceptual mathematics, suitably accessible after a K-12 education, in a detailed, self-conscious way that emphasizes methodology alongside content and crucially leads to an ultimate clear payoff. … Summing Up: Recommended. Lower-division undergraduates and two-year technical program students; general readers.” (. Feldman, Choice, Vol. 52 (6), February, 2015)
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Book Title: Readable Introduction to Real Mathematics
Number of Pages: Xviii, 218 Pages
Language: English
Publication Name: Readable Introduction to Real Mathematics
Publisher: Springer International Publishing A&G
Publication Year: 2021
Subject: Geometry / General, General, Number Theory
Type: Textbook
Item Weight: 12.9 Oz
Item Length: 9.3 in
Subject Area: Mathematics
Author: Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Item Width: 6.1 in
Series: Undergraduate Texts in Mathematics Ser.
Format: Trade Paperback
