PORTO-
FREI

A Readable Introduction to Real Mathematics

von Rosenthal, Daniel / Rosenthal, Peter / Rosenthal, David   (Autor)

Designed for an undergraduate course or for independent study, this textbook presents sophisticated mathematical ideas in an elementary and friendly fashion. It features techniques to solve proofs as well as exercises of varying difficulty.

Buch (Gebunden)

EUR 53,49

Alle Preisangaben inkl. MwSt.

Auch verfügbar als:

  Verlagsbedingte Lieferzeit ca. 3 - 6 Werktage.
(Print on Demand. Lieferbar innerhalb von 3 bis 6 Tagen)

Versandkostenfrei*

Dieser Artikel kann nicht bestellt werden.
 

Produktbeschreibung

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) 

Inhaltsverzeichnis

Preface to the Second Edition.- Preface for Readers.- Preface for Instructors.- 1. Introduction to the Natural Numbers.- 2. Mathematical Induction.- 3. Modular Arithmetic.- 4. The Fundamental Theorem of Arithmetic.- 5. Fermat's Theorem and Wilson's Theorem.- 6. Sending and Receiving Coded Messages.- 7. The Euclidean Algorithm and Applications.- 8. Rational Numbers and Irrational Numbers.- 9. The Complex Numbers.- 10. Sizes of Infinite Sets.- 11. Fundamentals of Euclidean Plane Geometry.- 12. Constructability.- 13. An Introduction to Infinite Series.- 14. Some Higher Dimensional Spaces.- Index. 

Autoreninfo

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. 

Mehr vom Verlag:

k.A.

Mehr aus der Reihe:

Produktdetails

Medium: Buch
Format: Gebunden
Seiten: 236
Sprache: Englisch
Erschienen: April 2019
Auflage: 2nd edition 2018
Sonstiges: .978-3-030-00631-0
Maße: 241 x 160 mm
Gewicht: 524 g
ISBN-10: 303000631X
ISBN-13: 9783030006310
Verlagsbestell-Nr.: 978-3-030-00631-0

Bestell-Nr.: 24286243 
Libri-Verkaufsrang (LVR):
Libri-Relevanz: 0 (max 9.999)
Bestell-Nr. Verlag: 978-3-030-00631-0

Ist ein Paket? 0
Rohertrag: 12,50 €
Porto: 2,75 €
Deckungsbeitrag: 9,75 €

LIBRI: 2656173
LIBRI-EK*: 37.49 € (25%)
LIBRI-VK: 53,49 €
Libri-STOCK: 0
LIBRI: 097 Print on Demand. Lieferbar innerhalb von 7 bis 10 Tagen * EK = ohne MwSt.
P_SALEALLOWED: WORLD
DRM: 0
0 = Kein Kopierschutz
1 = PDF Wasserzeichen
2 = DRM Adobe
3 = DRM WMA (Windows Media Audio)
4 = MP3 Wasserzeichen
6 = EPUB Wasserzeichen

UVP: 2 
Warengruppe: 16270 

KNO: 72812097
KNO-EK*: 30.34 € (25%)
KNO-VK: 53,49 €
KNO-STOCK: 0
KNO-MS: 97

KNO-SAMMLUNG: Undergraduate Texts in Mathematics
P_ABB: 56 schwarz-weiße Abbildungen, Bibliographie
KNOABBVERMERK: 2. Aufl. 2019. xviii, 218 S. XVIII, 218 p. 63 illus. 235 mm
KNOSONSTTEXT: .978-3-030-00631-0
KNOZUSATZTEXT: Bisherige Ausg. siehe T.-Nr.45395002.
Einband: Gebunden
Auflage: 2nd edition 2018
Sprache: Englisch
Beilage(n): HC runder Rücken kaschiert

Im Themenkatalog stöbern

› Start › Bücher

Entdecken Sie mehr

Alle Preise inkl. MwSt. , innerhalb Deutschlands liefern wir immer versandkostenfrei . Informationen zum Versand ins Ausland .

Kostenloser Versand *

innerhalb eines Werktages

OHNE RISIKO

30 Tage Rückgaberecht

Käuferschutz

mit Geld-Zurück-Garantie