group theory for physics

Information theory answers two fundamental questions in communication theory: What is the ultimate data compression (answer: the entropy H), and what is the ultimate transmission rate of communication (answer: the channel capacity C). For this reason some consider information theory to be a subset of communication theory. We argue that it is much more. Indeed, it has fundamental contributions to make in statistical physics (thermodynamics), computer science (Kolmogorov complexity or algorithmic complexity), statistical inference (Occam’s Razor: “The simplest explanation is best”), and to probability and statistics (error exponents for optimal hypothesis testing and estimation)

这是关于小波的电子书，高清，最新版本，经典著作，英文版

Postgraduate Students 《Linear System Theory》 Course Examination 2021 Autumn Test time:100 minutes Test Form: Open-book exam (Note: This page is not answer sheet. Please write your answer on the answer sheet.) 一、Short answers. (10分) 1) How to judge the observability for linear constant system? 2) For continuous linear time-invariant(LTl) systems, what are the sufficient and necessary for arbitrary pole assignment?

Practical Mathematical Optimization Basic Optimization Theory and Gradient-Base 实用数学优化：基本优化理论与基于梯度的算法 本书为数学、工程、计算机科学和其他应用科学的高年级本科生和研究生提供了广泛的数学优化课程工具。介绍了优化的基本原理，重点介绍了基于梯度的数值优化策略和算法，可用于求解光滑和有噪声的不连续优化问题。还注意到函数求值的困难和存在多个最小值，这往往不必要地抑制了基于梯度的方法的使用。这第二版介绍了仅梯度优化策略的进一步改进，以处理目标函数中的不连续。新的章节讨论了代理模型的构造，以及新的仅限梯度解决方案策略和使用Python的数值优化。一个特殊的Python模块以电子方式提供(通过springerlink)，它使文本中的新算法易于访问并直接适用。数值例子和练习包括鼓励高级到研究生水平的学生计划，执行，并反映数值调查。通过对概念材料的深入理解，学生、科学家和工程师将能够发展系统和科学的数字调研技能。 https://link.springer.com/book/10.1007/978-3-3

在清华的博弈论教程 是博弈论入门的很好材料

对lte的理论介绍的很详细，无论是物理层还是高层。能对整个系统有了全面的了解。

Few technical terms have gained such rapid notoriety as the appela- tion HNP-complete." In the short time since its introduction in the early 1970's, this term has come to symbolize the abyss of inherent intractability that algorithm designers increasingly face as they seek to solve larger and more complex problems. A wide variety of commonly encountered prob- lems from mathematics, computer science, and operations research are now known to be NP-complete, and the collection of such problems continues to grow almost daily. Indeed, the NP-complete problems are now so pervasive that it is important for anyone concerned with the computational aspects of these fields to be familiar with the meaning and implications of this concept.

卫星导航专业书籍，介绍很详细，英文原版，通信专业的研究方向。

国外的关于GPS的系统且全面描述的书籍，由多个专家合著而成，每一章节为一个专题，非常有权威性，此文档为volume II