Numerical Methods of Mathematics Implemented in Fortran. 1st ed. 2019

種類:

電子ブック

責任表示:

by Sujit Kumar Bose

出版情報:

Singapore : Springer Nature Singapore : Imprint: Springer, 2019

著者名:

• Bose, Sujit Kumar.
• SpringerLink (Online service)

シリーズ名:

Forum for Interdisciplinary Mathematics ;

ISBN:

9789811371141 [9811371148]    

注記:

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.
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 languag

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