Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

TitleNumerical Methods of Mathematics Implemented in Fortran [electronic resource] / by Sujit Kumar Bose
ImprintSingapore : Springer Singapore : Imprint: Springer, 2019
Edition 1st ed. 2019
Connect tohttps://doi.org/10.1007/978-981-13-7114-1
Descript XVII, 467 p. 41 illus. online resource

SUMMARY

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


CONTENT

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


Computer science -- Mathematics Computer science Computational Mathematics and Numerical Analysis. http://scigraph.springernature.com/things/product-market-codes/M1400X Mathematics of Algorithmic Complexity. http://scigraph.springernature.com/things/product-market-codes/M13130 Mathematical Logic and Formal Languages. http://scigraph.springernature.com/things/product-market-codes/I16048



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram