Real Analysis via Sequences and Series


This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis’s formula and Stirling’s formula, proofs of the irrationality of π and e and a treatment of Newton’s method as a special instance of finding fixed points of iterated functions.

Rezension
"The list of main topics covered is quite standard: sequences, series, limits, continuity, differentiation, Riemann integration, uniform convergence ... . This is a well-written textbook with an abundance of worked examples and exercises that is intended for a first course in analysis with modest ambitions." (Brian S. Thomson, Mathematical Reviews, March, 2016)

"The authors ... introduce sequences and series at the beginning and build the fundamental concepts of analysis from them. ... it achieves the same goal of introducing students to mathematical rigor and basic concepts and results in real analysis. ... Summing Up: Recommended. Upper-division undergraduates." (D. Z. Spicer, Choice, Vol. 53 (5), January, 2016)

"This textbook is based on the central idea that concepts such as continuity, differentiation and integration are approached via the concepts of sequences and series. ... Most of the sections are followed by exercises. The textbook is recommended for a first course in mathematical analysis." (Sorin Gheorghe Gal, zbMATH, Vol. 1325.26002, 2016)
Portrait

Charles Little, Teo Kee and Bruce van Brunt are professors of Mathematics at Massey University in New Zealand.

… weiterlesen
In den Warenkorb
Filialabholung

Versandkostenfrei

Beschreibung

Produktdetails


Einband gebundene Ausgabe
Seitenzahl 476
Erscheinungsdatum 29.05.2015
Sprache Englisch
ISBN 978-1-4939-2650-3
Reihe Undergraduate Texts in Mathematics
Verlag Springer
Maße (L/B/H) 24,1/16,1/3,2 cm
Gewicht 927 g
Abbildungen 18 schwarz-weiße Abbildungen, 4 schwarz-weiße Tabellen, Bibliographie
Auflage 2015
Buch (gebundene Ausgabe, Englisch)
73,99
inkl. gesetzl. MwSt.
Sofort lieferbar
Versandkostenfrei
In den Warenkorb
Filialabholung

Versandkostenfrei

Andere Kunden interessierten sich auch für

  • 39679406
    Mathematical Statistics with Applications
    von K. M. Ramachandran
    Buch (gebundene Ausgabe)
    127,99
  • 75236948
    A Court of Frost and Starlight
    von Sarah J. Maas
    (1)
    Buch (Taschenbuch)
    7,99
  • 32281116
    English G Access - Allgemeine Ausgabe / Band 1: 5. Schuljahr - Workbook mit Audios online und MyBook
    von Jennifer Seidl
    Schulbuch (Taschenbuch)
    9,50
  • 43564382
    Milk and Honey
    von Rupi Kaur
    (6)
    Buch (Taschenbuch)
    12,99 bisher 14,99
  • 76042694
    A Court of Frost and Starlight
    von Sarah J. Maas
    (2)
    Buch (gebundene Ausgabe)
    13,99
  • 74218005
    Red Queen 4. War Storm
    von Victoria Aveyard
    Buch (Taschenbuch)
    8,99
  • 61749461
    The Sun and Her Flowers
    von Rupi Kaur
    (5)
    Buch (Taschenbuch)
    12,99
  • 61175691
    Call Me by Your Name. Movie Tie-In
    von Andre Aciman
    (4)
    Buch (Taschenbuch)
    5,99
  • 29358095
    English G Lighthouse - Allgemeine Ausgabe / Band 1: 5. Schuljahr - Workbook mit Audios online
    von Gwen Berwick
    Schulbuch (Taschenbuch)
    9,75
  • 45070243
    The Subtle Art of Not Giving A F*ck
    von Mark Manson
    Buch (Taschenbuch)
    12,99
  • 40399789
    Simon vs the Homo Sapiens Agenda
    von Becky Albertalli
    (15)
    Buch (Taschenbuch)
    7,99
  • 61669796
    12 Rules for Life
    von Jordan B. Peterson
    Buch (gebundene Ausgabe)
    12,99
  • 44292690
    Gravity Falls: Journal 3
    von Alex Hirsch
    (1)
    Buch (gebundene Ausgabe)
    13,99
  • 56877137
    Still Me
    von Jojo Moyes
    (1)
    Buch (Taschenbuch)
    12,99
  • 72889815
    Leah on the Offbeat
    von Becky Albertalli
    Buch (Taschenbuch)
    7,99
  • 33724912
    Playway 3. Jahrgangsstufe 3. Activity Book mit Audio-CD
    (1)
    Schulbuch (Kunststoff-Einband)
    10,75
  • 37916446
    English G Access - Allgemeine Ausgabe / Band 2: 6. Schuljahr - Workbook mit Audios online
    von Jennifer Seidl
    Schulbuch (Taschenbuch)
    9,50
  • 1719784
    The Giver
    von Lois Lowry
    (1)
    Schulbuch (Taschenbuch)
    9,99
  • 73563068
    A Higher Loyalty
    von James Comey
    Buch (gebundene Ausgabe)
    11,99
  • 34910866
    The Life List
    von Lori Nelson Spielman
    (7)
    Buch (Taschenbuch)
    7,99 bisher 9,70

Kundenbewertungen

Es wurden noch keine Bewertungen geschrieben.