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  • © 2013

Intelligent Routines

Solving Mathematical Analysis with Matlab, Mathcad, Mathematica and Maple

  • Solves mathematical analysis problems with all four related main software Matlab, Mathcad, Mathematica and Maple
  • Contains many exercises, solved both mathematically and by computer, using: Matlab 7.9, Mathcad 14, Mathematica 8 or Maple 15 programming languages
  • Written by leading experts in the field

Part of the book series: Intelligent Systems Reference Library (ISRL, volume 39)

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Table of contents (9 chapters)

  1. Front Matter

    Pages 1-12
  2. Sequences and Series of Numbers

    • George A. Anastassiou, Iuliana F. Iatan
    Pages 1-40
  3. Power Series

    • George A. Anastassiou, Iuliana F. Iatan
    Pages 41-70
  4. Differentiation Theory of the Functions

    • George A. Anastassiou, Iuliana F. Iatan
    Pages 71-156
  5. Fundamentals of Field Theory

    • George A. Anastassiou, Iuliana F. Iatan
    Pages 157-186
  6. Implicit Functions

    • George A. Anastassiou, Iuliana F. Iatan
    Pages 187-244
  7. Terminology about Integral Calculus

    • George A. Anastassiou, Iuliana F. Iatan
    Pages 245-316
  8. Equations and Systems of Linear Ordinary Differential Equations

    • George A. Anastassiou, Iuliana F. Iatan
    Pages 317-394
  9. Line and Double Integral Calculus

    • George A. Anastassiou, Iuliana F. Iatan
    Pages 395-474
  10. Triple and Surface Integral Calculus

    • George A. Anastassiou, Iuliana F. Iatan
    Pages 475-572
  11. Back Matter

    Pages 0--1

About this book

Real Analysis is a discipline of intensive study in many institutions of higher education, because it contains useful concepts and fundamental results in the study of mathematics and physics, of the technical disciplines and geometry. This book is the first one of its kind that solves mathematical analysis problems with all four related main software Matlab, Mathcad, Mathematica and Maple. Besides the fundamental theoretical notions, the book contains many exercises, solved both mathematically and by computer, using: Matlab 7.9, Mathcad 14, Mathematica 8 or Maple 15 programming languages. The book is divided into nine chapters, which illustrate the application of the mathematical concepts using the computer. Each chapter presents the fundamental concepts and the elements required to solve the problems contained in that chapter and finishes with some problems left to be solved by the readers. The calculations can be verified by using  a specific software such as Matlab, Mathcad, Mathematica or Maple.

Reviews

From the reviews:

“This book looks at real analysis from successions and power series up to triple and surface integrals, ordinary differential equations are also included. … a very complete text of exercises and problems of classical real analysis from an attractively written perspective. … Given use of software, such as the Matlab, Mathcad, Mathematica and Maple, all well known and used by the academic community … to teach this content, the text may be useful not only for students but also for teachers.” (Mauro Garcia Pupo, Zentralblatt MATH, Vol. 1260, 2013)

Authors and Affiliations

  • , Department of Mathematical Sciences, University of Memphis, Memphis, USA

    George A. Anastassiou

  • , Department of Mathematics and Com. Sci., Technical Univ. of Civil Eng., Bucharest, Romania

    Iuliana F. Iatan

Bibliographic Information

  • Book Title: Intelligent Routines

  • Book Subtitle: Solving Mathematical Analysis with Matlab, Mathcad, Mathematica and Maple

  • Authors: George A. Anastassiou, Iuliana F. Iatan

  • Series Title: Intelligent Systems Reference Library

  • DOI: https://doi.org/10.1007/978-3-642-28475-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag GmbH Berlin Heidelberg 2013

  • Hardcover ISBN: 978-3-642-28474-8Published: 28 July 2012

  • Softcover ISBN: 978-3-642-43073-2Published: 09 August 2014

  • eBook ISBN: 978-3-642-28475-5Published: 28 July 2012

  • Series ISSN: 1868-4394

  • Series E-ISSN: 1868-4408

  • Edition Number: 1

  • Number of Pages: XIV, 582

  • Topics: Computational Intelligence, Computational Mathematics and Numerical Analysis, Analysis

Buy it now

Buying options

eBook USD 219.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 279.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access