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 andpowerful 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 ofeffective 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 programminginsight 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 techniues 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.

from download mathematics book generic pdf programming free From Mathematics epub to Generic pdf Mathematics to Generic book From Mathematics to Generic Programming ePUBIn 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 andpowerful 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 ofeffective 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 programminginsight 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 techniues 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.

[Reading] ➼ From Mathematics to Generic Programming By Alexander Stepanov – Ad325ddsc.merlotmotorsport.co.uk 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 aIn 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 andpowerful 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 ofeffective 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 programminginsight 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 techniues 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.