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Numerical Methods of Mathematics Implemented in Fortran
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Catalogue Information
Field name
Details
Dewey Class
518
Title
Numerical Methods of Mathematics Implemented in Fortran ([EBook]) / by Sujit Kumar Bose.
Author
Bose, Sujit Kumar
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2019.
Publication
Singapore : Springer Singapore , 2019.
Physical Details
XVII, 467 pages: 41 illus. : online resource.
Series
Forum for Interdisciplinary Mathematics
ISBN
9789811371141
Summary Note
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.:
Contents note
Chapter 1. Computation in Fortran -- Chapter 2. Equations -- Chapter 3. System of Equations -- Chapter 4. Interpolation -- Chapter 5. Differentiation and Integration -- Chapter 6. Ordinary Differential Equations -- Chapter 7. Partial Differential Equations -- Chapter 8. Approximation -- Chapter 9. Matrix Eigenvalues -- Chapter 10. Fast Fourier Transform.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-981-13-7114-1
Links to Related Works
Subject References:
Algorithms
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Computational Mathematics and Numerical Analysis
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Computer mathematics
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Mathematical logic
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Mathematical Logic and Formal Languages
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Mathematics of Algorithmic Complexity
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Authors:
author
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Bose, Sujit Kumar
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Corporate Authors:
SpringerLink (Online service)
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Series:
Forum for Interdisciplinary Mathematics
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Classification:
518
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