《Satellite Orbits Models, Methods and Applications/卫星轨道--模型方法和应用》(Oliver Montenbruck、Eberhard Gill)是一本指导读者学习卫星轨道确定与预报理论，掌握实践操作的现代教科书。从轨道动力学基础知识开始，本书重点介绍了基本摄动力模型 和精密跟踪方法，详细描述了大量用于轨道确定和预报的算法，特别是数值处理过程。 随书附带了C++源代码程序和所有示例习题与应用,这些程序基于一个强大的航天动力学库，具有很好的移植性，可以用于个人应用开发。另外，本书还以互联网超链接方式收录了大量的网络资源，便于航天动力学信息的完 善和更新。 本书可以为学习卫星导航、大地测量和航天技术的学生与研究人员，以及关注航天动 力学的卫星工程师和操作人员提供参考。 本资源为随书光盘中的源代码，英文版电子书可到http://download.csdn.net/detail/prince_504/4820688下载。

Mathematical Methods for Physics and Engineering, Third Edition

关于谱方法一本很好的教材，可供研究生及教学科研人员参考

计算电磁场领域的经典教材，值得详细研读，学习有限元的可以下载

小波方法

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