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Advanced Calculus: Theory and Practice (Textbooks in Mathematics) - Hardcover

Buch 85 von 130: Textbooks in Mathematics

Petrovic, John Srdjan

 
9781138568211: Advanced Calculus: Theory and Practice (Textbooks in Mathematics)
Hardcover
ISBN 10: 113856821X ISBN 13: 9781138568211
Verlag: Chapman and Hall/CRC, 2020

Inhaltsangabe

Advanced Calculus: Theory and Practice, Second Edition offers a text for a one- or two-semester course on advanced calculus or analysis. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics.

The book explains how various topics in calculus may seem unrelated but have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems.

Features of the Second Edition:

  • Improved Organization.

  • Chapters are reorganized to address common preferences.

  • Enhanced Coverage of Axiomatic Systems.

    • A section is added to include Peano’s
  • system of axioms for the set of natural numbers and their use in developing the well-known properties of the set N.

  • Expanded and Organized Exercise Collection.

    • There are close to 1,000 new exercises, many of them with solutions or hints. Exercises are classified based on the level of di?culty. Computation-oriented exercises are paired and solutions or hints provided for the
  • odd-numbered questions.

  • Enrichment Material.

  • Historical facts and biographies of over 60 mathematicians.

  • Illustrations.

    • Thirty-five new illustrations are added in order to guide students through
    • examples or proofs.

    About the Author:

    John Srdjan Petrovic is a professor at Western Michigan University.

    Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

    Über die Autorin bzw. den Autor

    John Srdjan Petrovic is a Professor at Western Michigan University.

    Von der hinteren Coverseite

    Advanced Calculus: Theory and Practice, Second Edition, expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students' problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. The book explains how various topics in calculus may seem unrelated but in reality have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems.

    „Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

    Verlag
    Chapman and Hall/CRC
    Erscheinungsdatum
    2020
    Sprache
    Englisch
    ISBN 10 
    113856821X
    ISBN 13 
    9781138568211
    Einband
    Gebundene Ausgabe
    Auflage
    2
    Anzahl der Seiten
    608
    Kontakt zum Hersteller
    Taylor and Francis
    gpsr@taylorandfrancis.com

    Taylor & Francis Verlag GmbH, Kaufingerstraße 24
    München
    80331
    Deutschland