A Readable Introduction to Real Mathematics

Nonfiction, Science & Nature, Mathematics, Number Theory, Geometry
Cover of the book A Readable Introduction to Real Mathematics by Daniel Rosenthal, David Rosenthal, Peter Rosenthal, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Daniel Rosenthal, David Rosenthal, Peter Rosenthal ISBN: 9783030006327
Publisher: Springer International Publishing Publication: April 2, 2019
Imprint: Springer Language: English
Author: Daniel Rosenthal, David Rosenthal, Peter Rosenthal
ISBN: 9783030006327
Publisher: Springer International Publishing
Publication: April 2, 2019
Imprint: Springer
Language: English

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. The book 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 * Fermat's 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)

 “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)

“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.” (D.V. Feldman, Choice, Vol. 52 (6), February, 2015)

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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. The book 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 * Fermat's 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)

 “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)

“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.” (D.V. Feldman, Choice, Vol. 52 (6), February, 2015)

More books from Springer International Publishing

Cover of the book Gender and Sexuality in Stoic Philosophy by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book The Secular Landscape by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Trends in Breast Cancer Prevention by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Measuring Youth Well-being by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book The Invention of Time and Space by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book 100 years of European Philosophy Since the Great War by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Workplace Environmental Design in Architecture for Public Health by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book A Comprehensive Cognitive Behavioral Program for Offenders by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Ferromagnetic Microwire Composites by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Diffused Religion by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Ageing Women in Literature and Visual Culture by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Percutaneous Absorption of UV Filters Contained in Sunscreen Cosmetic Products by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Knowledge Management in Organizations by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Psychotherapy, Literature and the Visual and Performing Arts by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Quantitative Evaluation of Systems by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy