Articles liés à A Readable Introduction to Real Mathematics
Synopsis
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)
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Daniel Rosenthal obtained his mathematics degree from the University of Toronto.
David Rosenthal is Professor of Mathematics at St. John's University in New York City.
Peter Rosenthal is Professor Emeritus of Mathematics at the University of Toronto.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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A Readable Introduction to Real Mathematics (Undergraduate Texts in Mathematics)
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Springer (edition 2nd ed. 2018), 2019
ISBN 10 : 303000631X
ISBN 13 : 9783030006310
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A Readable Introduction to Real Mathematics
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A Readable Introduction to Real Mathematics
Edité par
Springer International Publishing, 2019
ISBN 10 : 303000631X
ISBN 13 : 9783030006310
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents sophisticated ideas in algebra and geometry in an elementary fashionIncludes exercises of varying difficulty to help motivate and teach the readerDevelops mathematical thinking that will be useful for future mathematics teachers an. N° de réf. du vendeur 238283355
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A Readable Introduction to Real Mathematics
Edité par
Springer International Publishing, 2019
ISBN 10 : 303000631X
ISBN 13 : 9783030006310
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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). N° de réf. du vendeur 9783030006310
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A Readable Introduction to Real Mathematics
Edité par
Springer International Publishing Apr 2019, 2019
ISBN 10 : 303000631X
ISBN 13 : 9783030006310
Neuf
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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) 236 pp. Englisch. N° de réf. du vendeur 9783030006310
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