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 Machine Learning for Model Order Reduction by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Social Management by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Antimicrobial Peptides by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Adaptive Logics for Defeasible Reasoning by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Active Fault-Tolerant Control Systems by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Simulation-Driven Design by Knowledge-Based Response Correction Techniques by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Information Security by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Multilevel Network Analysis for the Social Sciences by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Infertility in Women with Polycystic Ovary Syndrome by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Precision Molecular Pathology of Liver Cancer by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Advances in Condition Monitoring of Machinery in Non-Stationary Operations by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Gender and Public Participation in Afghanistan by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Evaluating Factors Controlling Damage and Productivity in Tight Gas Reservoirs by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Ionic Polymer Metal Composites for Sensors and Actuators by Daniel Rosenthal, David Rosenthal, Peter Rosenthal
Cover of the book Quantum Walks and Search Algorithms 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