Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic design from a practical standpoint and provides insight into the theoretical tools needed to support these skills. The book covers a wide range of topics―from numerical linear algebra to optimization and differential equations―focusing on real-world motivation and unifying themes. It incorporates cases from computer science research and practice, accompanied by highlights from in-depth literature on each subtopic. Comprehensive end-of-chapter exercises encourage critical thinking and build students’ intuition while introducing extensions of the basic material. The text is designed for advanced undergraduate and beginning graduate students in computer science and related fields with experience in calculus and linear algebra. For students with a background in discrete mathematics, the book includes some reminders of relevant continuous mathematical background. Table of Contents Section I: Preliminaries Chapter 1: Mathematics Review Chapter 2: Numerics and Error Analysis Section II: Linear Algebra Chapter 3: Linear Systems and the LU Decomposition Chapter 4: Designing and Analyzing Linear Systems Chapter 5: Column Spaces and QR Chapter 6: Eigenvectors Chapter 7: Singular Value Decomposition Section III: Nonlinear Techniques Chapter 8: Nonlinear Systems Chapter 9: Unconstrained Optimization Chapter 10: Constrained Optimization Chapter 11: Iterative Linear Solvers Chapter 12: Specialized Optimization Methods Section IV: Functions, Derivatives, and Integrals Chapter 13: Interpolation Chapter 14: Integration and Differentiation Chapter 15: Ordinary Differential Equations Chapter 16: Partial Differential Equations

数值分析的经典书籍Numerical Analysis：Mathematics of Scientific Computing -Kincaid_Cheney， 数值分析（美）金凯德等著英文第三版及相应中文译本。及两位作者所著的另一本相关书籍：Kincaid_Cheney_Numerical_Mathematics_and_Computing__Sixth_Edition

Numerical Computing with MaTLAB 【MATLAB数值计算（2013修订版）】 Cleve B.Moler 编著 ，此书中所需要的工具箱 ncm。 是最新版本的书籍配套的工具箱。 Numerical Computing with MaTLAB 【MATLAB数值计算（2013修订版）】 Cleve B.Moler 编著 ，此书中所需要的工具箱 ncm。 是最新版本的书籍配套的工具箱。

Numerical Methods in Matrix Computations

Riemann Solvers and Numerical Methods for Fluid Dynamics A Practical Introduction.

talent q numerical 史上最全

Wave-optics simulation is an immensely useful tool for many applications. The simulation techniques in this book are directly applicable to atmospheric imaging, astronomy, adaptive optics, free-space optical communications, and LADAR. In addition, many of the basic techniques are applicable to integrated optics and nonlinear, anisotropic, and optically active media. Numerical Simulation of Optical Wave Propagation is solely dedicated to wave-optics simulations. The book discusses digital Fourier transforms (FT), FT-based operations, multiple methods of wave-optics simulations, sampling requirements, and simulations in atmospheric turbulence. This book will benefit optical scientists and engineers at all levels as a guide for FT-based data analysis, imaging system analysis, and wave-optics simulations. Professors can use this book to augment their Fourier optics courses and for independent studies with students. Problem sets are given at the end of each chapter. Students will learn principles and techniques from this book that can be utilized throughout their careers in optics.

Numerical Computation of INTERNAL AND EXTERNAL FLOJiJiS Volume 2: Computational Methods for Inviscid and Viscous Flows CharlesHirsch Departmentof Fluid Mechanics, Vrije Universiteit Brussel, Brussels, Belgium A Wiley-lntersciencePublication JOHN WILEY & SONS Chichester. New York. Brisbane. Toronto. Singapore

数值计算经典教材（含各种经典方法的MATLAB实现，建议自己实现后再与教材比对），简单易懂

作者: William H. Press / Brian P. Flannery / Saul A. Teukolsky / William T. Vetterling 本书编写了300多个实用而有效的数值算法C语言程序。其内容包括：线性方程组的求解，逆矩阵和行列式计算，多项式和有理函数的内插与外推，函数的积分和估值，特殊函数的数值计算，随机数的产生，非线性方程求解，傅里叶变换和FFT，谱分析和小波变换，统计描述和数据建模，常微分方程和偏微分方程求解，线性预测和线性预测编码，数字滤波，格雷码和算术码等。全书内容丰富，层次分明，是一本不可多得的有关数值计算的C语言程序大全。本书每章中都论述了有关专题的数学分析、算法的讨论与比较，以及算法实施的技巧，并给出了标准C语言实用程序。这些程序可在不同计算机的C语言编程环境下运行。 本书可作为从事科学计算的科技工作者的工具书，计算机软件开发者的参考书，也可以作为大学本科生和研究生的参考书或教材。