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)Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 236 pp. Englisch.

Bestandsnummer des Verk�ufers 9783030807313

Verk�ufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel: A Readable Introduction to Real Mathematics
Verlag: Springer International Publishing, Springer International Publishing Jul 2021
Erscheinungsjahr: 2021
Sprache: Englisch
ISBN-10: 3030807312
ISBN-13: 9783030807313
Einband: Taschenbuch
Auflage: 1. Auflage
Zustand: Neu

�ber diesen Titel

Inhaltsangabe

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)

�ber die Autorin bzw. den Autor

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.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Anbieterinformationen

Impressum Thorsten Retsch Buchversand Mimpf2000 Ober�lschnitz 16 95517 Emtmannsberg Deutschland Telefon: 09209-2023188 Email: mimpf2000@online.de USt-ID-Nr.: DE 235096871 Wir f�hren gebrauchte B�cher aus allen Sparten der Literatur

Zur Homepage des Verk�ufers

Unternehmensdaten des Verk�ufers

buchversandmimpf2000
Germany

Gesch�ftsbedingungen und Versandinformationen

Verkaufsbedingungen

Widerrufsbelehrung/ Muster-Widerrufsformular/
Allgemeine Gesch�ftsbedingungen und Kundeninformationen/ Datenschutzerkl�rung

Widerrufsrecht f�r Verbraucher
(Verbraucher ist jede nat�rliche Person, die ein Rechtsgesch�ft zu Zwecken abschlie�t, die �berwiegend weder ihrer gewerblichen noch ihrer selbstst�ndigen beruflichen T�tigkeit zugerechnet werden k�nnen.)

Widerrufsbelehrung

Widerrufsrecht
Sie haben das Recht, binnen 14 Tagen ohne Angabe von Gr�nden diesen Vertrag zu widerrufen.
Die Widerrufsfr...

Mehr Information

Versandbedingungen

Soweit in der Artikelbeschreibung keine andere Frist angegeben ist, erfolgt die Lieferung der Ware innerhalb von 3-5 Werktagen nach Vertragsschluss, bei Vorauszahlung erst nach Eingang des vollst�ndigen Kaufpreises und der Versandkosten. Alle Preise inkl. MwSt.

Impressum & Info zum Verk�ufer