Skip to main content
  • Textbook
  • © 2019

Numerical Methods of Mathematics Implemented in Fortran

Authors:

  • Provides application-oriented numerical methods useful for scientific computation
  • Equips readers to use Fortran for writing the computer codes
  • Uses Fortran subroutines as essential procedures for direct application to practical cases
  • Explains the method–algorithm–code approach for learning the techniques of scientific computation
  • Offers detailed mathematical proofs of most of the computational methods
  • Presents short historical sketches of past mathematicians who often made their pioneering discoveries in difficult existential

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

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 64.99
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

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xvii
  2. Computation in FORTRAN

    • Sujit Kumar Bose
    Pages 1-54
  3. Equations

    • Sujit Kumar Bose
    Pages 55-106
  4. System of Equations

    • Sujit Kumar Bose
    Pages 107-162
  5. Interpolation

    • Sujit Kumar Bose
    Pages 163-202
  6. Differentiation and Integration

    • Sujit Kumar Bose
    Pages 203-260
  7. Ordinary Differential Equations

    • Sujit Kumar Bose
    Pages 261-308
  8. Partial Differential Equations

    • Sujit Kumar Bose
    Pages 309-334
  9. Approximation

    • Sujit Kumar Bose
    Pages 335-383
  10. Matrix Eigenvalues

    • Sujit Kumar Bose
    Pages 385-439
  11. Fast Fourier Transform

    • Sujit Kumar Bose
    Pages 441-457
  12. Back Matter

    Pages 459-467

About this book

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 Fortranprogramming 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.

Authors and Affiliations

  • S. N. Bose National Centre for Basic Sciences, Kolkata, India

    Sujit Kumar Bose

About the author

SUJIT KUMAR BOSE is a distinguished computer educationist and author of several useful books on computational and numerical mathematics. He was a Research Consultant at the Department of Civil Engineering, Indian Institute of Technology Kharagpur, from 2002 to 2014. He was also member of the Guest Faculty at the Department of Computer Science, Jadavpur University, Kolkata, from 1998 to 2006; a Senior Professor of Mathematics at the S.N. Bose National Centre for Basic Sciences, Kolkata, India, from 1993 to 1998; Professor and Head of the Department of Mathematics at the National Institute of Technology, Durgapur, India, from 1975 to 1993; an Assistant Professor at the West Bengal Educational Service, from 1965 to 1975; and a Lecturer at the West Bengal Junior Educational Service, from 1960 to 1965. In addition, he was a postdoctoral fellow at the University of California, Los Angeles, from 1972 to 1974.

Professor Bose is associated with several respected research institutes: Fellow of the Indian Academy of Sciences, India; member of the Indian Society of Theoretical and Applied Mechanics at the Department of Mathematics, Indian Institute of Technology Kharagpur; member of the Calcutta Mathematical Society; and member of the Indian Statistical Institute, Kolkata. He is awarded the Professor B. Sen Memorial Gold Medal for the Best Research in Elasticity, in 1978, and the Sardar Vallabhbhai Patel Award for the Excellence in Researches in Mathematical Sciences, in 2012. He obtained B.Sc. (Math Hons, 1957) and M.Sc. (Applied Mathematics, 1959) as well as D.Sc. (Applied Mathematics, 1971), all from the University of Calcutta, winning several gold medals. He was a Visiting Scholar at the Computational Mechanics Center, Georgia Institute of Technology, USA, and the Department of Applied Mathematics at the University of Twente, The Netherlands in 1989. Professor Bose has research interests in applied mathematics, solid mechanics, fluid mechanics and sediment transport. 

Bibliographic Information

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 64.99
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