Numerical Methods of Mathematics Implemented in Fortran

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 c...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Bose, Sujit Kumar (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Σειρά:Forum for Interdisciplinary Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Numerical Methods of Mathematics Implemented in Fortran  |h [electronic resource] /  |c by Sujit Kumar Bose. 
250 |a 1st ed. 2019. 
264 1 |a Singapore :  |b Springer Singapore :  |b Imprint: Springer,  |c 2019. 
300 |a XVII, 467 p. 41 illus.  |b online resource. 
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490 1 |a Forum for Interdisciplinary Mathematics,  |x 2364-6748 
505 0 |a 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. 
520 |a 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. 
650 0 |a Computer mathematics. 
650 0 |a Algorithms. 
650 0 |a Mathematical logic. 
650 1 4 |a Computational Mathematics and Numerical Analysis.  |0 http://scigraph.springernature.com/things/product-market-codes/M1400X 
650 2 4 |a Mathematics of Algorithmic Complexity.  |0 http://scigraph.springernature.com/things/product-market-codes/M13130 
650 2 4 |a Mathematical Logic and Formal Languages.  |0 http://scigraph.springernature.com/things/product-market-codes/I16048 
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950 |a Mathematics and Statistics (Springer-11649)