From mathematics to generic programming pdf

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from mathematics to generic programming pdf

From Mathematics to Generic Programming by Alexander A. Stepanov

In this substantive yet accessible book, pioneering software designer Alexander Stepanov and his colleague Daniel Rose illuminate the principles of generic programming and the mathematical concept of abstraction on which it is based, helping you write code that is both simpler and more powerful. If youre a reasonably proficient programmer who can think logically, you have all the background youll need. Stepanov and Rose introduce the relevant abstract algebra and number theory with exceptional clarity. They carefully explain the problems mathematicians first needed to solve, and then show how these mathematical solutions translate to generic programming and the creation of more effective and elegant code. To demonstrate the crucial role these mathematical principles play in many modern applications, the authors show how to use these results and generalized algorithms to implement a real-world public-key cryptosystem. As you read this book, youll master the thought processes necessary for effective programming and learn how to generalize narrowly conceived algorithms to widen their usefulness without losing efficiency. Youll also gain deep insight into the value of mathematics to programming--insight that will prove invaluable no matter what programming languages and paradigms you use. You will learn about
How to generalize a four thousand-year-old algorithm, demonstrating indispensable lessons about clarity and efficiency
Ancient paradoxes, beautiful theorems, and the productive tension between continuous and discrete
A simple algorithm for finding greatest common divisor (GCD) and modern abstractions that build on it
Powerful mathematical approaches to abstraction
How abstract algebra provides the idea at the heart of generic programming
Axioms, proofs, theories, and models: using mathematical techniques to organize knowledge about your algorithms and data structures
Surprising subtleties of simple programming tasks and what you can learn from them
How practical implementations can exploit theoretical knowledge
File Name: from mathematics to generic programming pdf.zip
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Published 26.05.2019

How important is math in programming?

Stepanov, Alexander A. From mathematics to generic programming / Alexander A . Stepanov, Daniel E. Rose. pages cm. Includes bibliographical references and.
Alexander A. Stepanov

Stepanov A.A., Rose D.E. From Mathematics to Generic Programming

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I am thinking about going through the below course from Alexander Stepanov at Amazon A9. Anyone has experience with this course. The focus was on algorithms which is why the "components" in the title is throwing me off a bit. The series I watched was excellent though! Highly recommended, it's a lot of the same material as his book Elements of Programming but I found it more accessible in the lecture format. There is a 4 part series by him on algorithms too. His notes on programming are very well written.

From Mathematics to Generic Programming - Alexander A. scopenitout.com - Free ebook download as PDF File .pdf), Text File .txt) or read book online for free.
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In this substantive yet accessible book, pioneering software designer Alexander Stepanov and his colleague Daniel Rose illuminate the principles of generic programming and the mathematical concept of abstraction on which it is based, helping you write code that is both simpler and more powerful. Stepanov and Rose introduce the relevant abstract algebra and number theory with exceptional clarity. They carefully explain the problems mathematicians first needed to solve, and then show how these mathematical solutions translate to generic programming and the creation of more effective and elegant code. To demonstrate the crucial role these mathematical principles play in many modern applications, the authors show how to use these results and generalized algorithms to implement a real-world public-key cryptosystem. How to generalize a four thousand-year-old algorithm, demonstrating indispensable lessons about clarity and efficiency. Ancient paradoxes, beautiful theorems, and the productive tension between continuous and discrete. A simple algorithm for finding greatest common divisor GCD and modern abstractions that build on it.

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