J.T. Betts 所著的讲述求解最优控制问题的实用数值方法的书，经典。

1 Preliminaries 3 1.1 A Bit of History 4 1.2 Introduction 7 1.3 Motivation 8 1.3.1 Optics 8 1.3.2 Shape of a Liquid Drop 10 1.3.3 Optimization of a River-Crossing Trajectory 12 1.3.4 Summary 14 1.4 Extrema of Functions 14 1.5 Constrained Extrema and Lagrange Multipliers 17 1.6 Integration by Parts 20 1.7 Fundamental Lemma of the Calculus of Variations 21 1.8 Adjoint and Self-Adjoint Differential Operators 22 Exercises 26 2 Calculus of Variations 28 2.1 Functionals of One Independent Variable 29 2.1.1 Functional Derivative 30 2.1.2 Derivation of Euler’s Equation 31 2.1.3 Variational Notation 33 2.1.4 Special Cases of Euler’s Equation 37 2.2 Natural Boundary Conditions 44 2.3 Variable End Points 53 2.4 Higher-Order Derivatives 56 2.5 Functionals of Two Independent Variables 56 2.5.1 Euler’s Equation 57 2.5.2 Minimal Surfaces 61 2.5.3 Dirichlet Problem 62 vii viii Contents 2.6 Functionals of Two Dependent Variables 64 2.7 Constrained Functionals 66 2.7.1 Integral Constraints 66 2.7.2 Sturm-Liouville Problems 74 2.7.3 Algebraic and Differential Constraints 76 2.8 Summary of Euler Equations 80 Exercises 81 3 Rayleigh-Ritz, Galerkin, and Finite-Element Methods 90 3.1 Rayleigh-Ritz Method 91 3.1.1 Basic Procedure 91 3.1.2 Self-Adjoint Differential Operators 94 3.1.3 Estimating Eigenvalues of Differential Operators 96 3.2 Galerkin Method 100 3.3 Finite-Element Methods 103 3.3.1 Rayleigh-Ritz–Based Finite-Element Method 104 3.3.2 Finite-Element Methods in Multidimensions 109 Exercises 110 P A R T I I P H Y S I C A L A P P L I C A T I O N S 115 4 Hamilton’s Principle 117 4.1 Hamilton’s Principle for Discrete Systems 118 4.2 Hamilton’s Principle for Continuous Systems 128 4.3 Euler-Lagrange Equations 131 4.4 Invariance of the Euler-Lagrange Equations 136 4.5 Derivation of Hamilton’s Principle from the First Law of Thermodynamics 137 4.6 Conservation of Mechanical Energy and the Hamiltonian 141 4.7 Noether’s Theorem – Connection Between Conservation Laws and Symmetries in Hamil

程序化交易 这是一本程序化交易的好书 ， 尤其对于初学者 更是一本 不可多得的入门宝典

Kernel Methods and Machine Learning.

Practical Methods of Optimization 第二版 作者 Fletcher R 大师之作不用多介绍

视觉问答权威综述，最后讨论了有前景的未来研究方向特别是与结构化知识库的联系以及使用自然语言处理模型。

电子书，经典的结构拓扑优化入门书籍！ 电子书，经典的结构拓扑优化入门书籍！！

Numerical Algorithms Methods for Computer Vision Machine Learning and Graphics 英文无水印pdf pdf所有页面使用FoxitReader和PDF-XChangeViewer测试都可以打开 本资源转载自网络，如有侵权，请联系上传者或csdn删除 本资源转载自网络，如有侵权，请联系上传者或csdn删除

Ensemble Methods in Data Mining: Improving Accuracy Through Combining Predictions Data Mining Ensemble Methods Morgan & Claypool Publishers

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