Algorithm vs method vs methodology

Algorithm vs method vs methodology:

? Algorithm is just like a formula to solve any problem step by step, with no ambiguity to any step, and must have some ending point.

?Method is a process by which a task is completed; or a way of doing something. There might be several different algorithms to implement a method.

? Method is analogous to a strategy, algorithm is analogous to the tactics.

?Methodology is the systematic, theoretical analysis of the methods applied to a field of study. It comprises the theoretical analysis of the body of methods and principles associated with a branch of knowledge. Typically, it encompasses concepts such as paradigm, theoretical model, phases and quantitative or qualitative techniques. A methodology does not set out to provide solutions—it is therefore, not the same as a method. Instead, a methodology offers the theoretical underpinning for understanding which method, set of methods, or best practices can be applied to a specific case, for example, to calculate a specific result.

例如： 空城计是method.如何是实现空城计呢，需要分成几个阶段/步骤实现：1，如何通知所有士兵? 2，怎样撤离? 步骤1和步骤2的具体实现方案就是一个算法，事实上一个method可以有不止一种的实现algorithms.

methodology包括了上面提到的method(空城计)，其实现algorithm(步骤)，以及相关的操作代价，和背后的理论支撑等等相关知识。

[1] Stackoverflow: What is the difference between a method and an algorithm?
[2] Wiki: Methodology