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Numerical Analysis Bookshelf
Daisuke Kanaizumi edited this page Oct 15, 2019
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- W. Tucker, Validated Numerics -A Short Introduction to Rigorous Computations-, Princeton University Press, 2011.
- Gautschi, W. (1997). Numerical analysis. Springer Science & Business Media.
- Kress, R. Numerical Analysis. 1998. Springer.
- Higham, N. J. (2002). Accuracy and stability of numerical algorithms (Vol. 80). SIAM.
- Deuflhard, P., & Hohmann, A. (2003). Numerical analysis in modern scientific computing: an introduction. New York: Springer.
- Stoer, J., & Bulirsch, R. (2013). Introduction to numerical analysis (Vol. 12). Springer Science & Business Media.
- Whittaker, E. T., & Robinson, G. (1940). Calculus of observations: Treatise on Numerical Mathematics 3rd Edition. Blackie and Sons Limited, London.
- Quarteroni, A., Sacco, R., & Saleri, F. (2010). Numerical mathematics (Vol. 37). Springer Science & Business Media.
- Cheney, E. W., & Kincaid, D. R. (2012). Numerical mathematics and computing. Cengage Learning.
- Stoyan, G., & Baran, A. (2016). Elementary numerical mathematics for programmers and engineers. Springer International Publishing.
- A. Gil, J. Segura, N. M. Temme, Numerical Methods for Special Functions, Society for Industrial and Applied Mathematics, 2007.
- Muller, J. M. (2006). Elementary functions. Birkhũser Boston.
- Knuth, D. E. (1997). The art of computer programming. Pearson Education.
- Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (1992). Numerical recipes in C++. The art of scientific computing.
- Advanced R
- Bezanson, J., Edelman, A., Karpinski, S., & Shah, V. B. (2017). Julia: A fresh approach to numerical computing. SIAM Review, 59(1), 65-98.
- Nagar, S. (2017). Beginning Julia Programming. Apress, Berkeley, CA.
- G. I. Hargreaves, Interval analysis in MATLAB. Numerical Analysis Report 418, University of Manchester, 2002.
- C. Moler, Numerical Computing with MATLAB, Society for Industrial and Applied Mathematics, 2004.
- Danaila, I., Joly, P., Kaber, S. M., & Postel, M. (2007). An introduction to scientific computing: Twelve computational projects solved with MATLAB. Springer Science & Business Media.
- A. Quarteroni, F. Saleri, P. Gervasio, Scientific Computing with MATLAB and Octave, Texts in Computational Science and Engineering, Springer, 2014.
- Gander, W., Gander, M. J., & Kwok, F. (2014). Scientific computing-An introduction using Maple and MATLAB (Vol. 11). Springer Science & Business Media.
- A. Downey, Think Python -How to Think Like a Computer Scientist-, Green Tea Press, 2012.
- McKinney, W. (2012). Python for data analysis: Data wrangling with Pandas, NumPy, and IPython. " O'Reilly Media, Inc.".
- Lutz, M. (2013). Learning python: Powerful object-oriented programming. " O'Reilly Media, Inc.".
- Dale, K. (2016). Data Visualization with Python and JavaScript: Scrape, Clean, Explore & Transform Your Data. " O'Reilly Media, Inc.".
- Mayer, G. (2017). Interval analysis: and automatic result verification (Vol. 65). Walter de Gruyter GmbH & Co KG.
- Alefeld, G., & Herzberger, J., Introduction to interval computation. Academic Press.
- Moore, R., Kearfott, R., & Cloud, M. (2009). Introduction to interval analysis (Vol. 110). SIAM.
- Neumaier, A. (1990). Interval methods for systems of equations (Vol. 37). Cambridge University Press.
- 森正武：「数値解析」（第2版）、共立出版(共立数学講座)、ISBN 978-4320017016（2002年2月1日）
- 杉原正顯、室田一雄：「数値計算の数理」、岩波書店（2003年5月23日）
- 山本哲朗：「数値解析入門【増訂版】」、サイエンス社、ISBN 978-4781910383（2003年6月1日）
- 中尾充宏、山本野人：「精度保証付き数値計算―コンピュータによる無限への挑戦」、日本評論社、（1998年）
- 大石進一：「精度保証付き数値計算」、コロナ社、（2000年）
- 中尾充宏、渡辺善隆:「実例で学ぶ精度保証付き数値計算」、サイエンス社（2011年）
- 大石進一編著：「精度保証付き数値計算の基礎」、コロナ社、（2018年）