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Numerical Methods of Mathematics Implemented in Fortran

  • Sujit Kumar Bose

Part of the Forum for Interdisciplinary Mathematics book series (FFIM)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Sujit Kumar Bose
    Pages 1-54
  3. Sujit Kumar Bose
    Pages 55-106
  4. Sujit Kumar Bose
    Pages 107-162
  5. Sujit Kumar Bose
    Pages 163-202
  6. Sujit Kumar Bose
    Pages 203-260
  7. Sujit Kumar Bose
    Pages 261-308
  8. Sujit Kumar Bose
    Pages 309-334
  9. Sujit Kumar Bose
    Pages 335-383
  10. Sujit Kumar Bose
    Pages 385-439
  11. Sujit Kumar Bose
    Pages 441-457
  12. Back Matter
    Pages 459-467

About this book

Introduction

This book systematically classifies the mathematical formalisms of computational models that are required for solving problems in mathematics, engineering and various other disciplines. It also provides numerical methods for solving these problems using suitable algorithms and for writing computer codes to find solutions. For discrete models, matrix algebra comes into play, while for continuum framework models, real and complex analysis is more suitable. The book clearly describes the method–algorithm–code approach for learning the techniques of scientific computation and how to arrive at accurate solutions by applying the procedures presented. It not only provides instructors with course material but also serves as a useful reference resource. Providing the detailed mathematical proofs behind the computational methods, this book appeals to undergraduate and graduate mathematics and engineering students.

The computer codes have been written in the Fortran programming language, which is the traditional language for scientific computation. Fortran has a vast repository of source codes used in real-world applications and has continuously been upgraded in line with the computing capacity of the hardware. The language is fully backwards compatible with its earlier versions, facilitating integration with older source codes.

Keywords

Fortran Bolzano Bisection Method Regula Falsi Method Secant Method General Iteration Method Convergence Theorems Interpolation

Authors and affiliations

  • Sujit Kumar Bose
    • 1
  1. 1.S. N. Bose National Centre for Basic SciencesKolkataIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-7114-1
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-13-7113-4
  • Online ISBN 978-981-13-7114-1
  • Series Print ISSN 2364-6748
  • Series Online ISSN 2364-6756
  • Buy this book on publisher's site
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