A Readable Introduction to Real Mathematics - Undergraduate Texts in Mathematics (Hardback)
  • A Readable Introduction to Real Mathematics - Undergraduate Texts in Mathematics (Hardback)

A Readable Introduction to Real Mathematics - Undergraduate Texts in Mathematics (Hardback)

(author), (author), (author)
Hardback 161 Pages / Published: 15/07/2014
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
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.

Publisher: Springer International Publishing AG
ISBN: 9783319056531
Number of pages: 161
Weight: 3908 g
Dimensions: 235 x 155 x 11 mm
Edition: 2014 ed.


"It is carefully written in a precise but readable and engaging style and is tightly organised into eight short `core' chapters and four longer standalone `extension' chapters. ... 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)

"The book is an introduction to real mathematics and is very readable. ... The book is indeed a joy to read, and would be an excellent text for an `appreciation of mathematics' course, among other possibilities." (G. A. Heuer, Mathematical Reviews, February, 2015)

"Daniel Rosenthal and Peter Rosenthal (both, Univ. of Toronto) and David Rosenthal (St. John's Univ.) present 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." (D. V. Feldman, Choice, Vol. 52 (6), February, 2015)

You may also be interested in...

Mental Arithmetic 6 Answers: No. 6
Added to basket
CfE Higher Maths Success Guide
Added to basket
Naked Statistics
Added to basket
Mental Arithmetic 5
Added to basket
Basic Maths For Dummies
Added to basket
How to Pass Higher Maths
Added to basket
Added to basket
Game Theory: A Very Short Introduction
Added to basket
Mental Arithmetic 4
Added to basket
Mental Arithmetic 4 Answers
Added to basket


Please sign in to write a review

Your review has been submitted successfully.