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- From Mathematics to Generic Programming
From Mathematics to Generic Programming
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Write code that is both simpler and more powerful
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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.If you’re a reasonably proficient programmer who can think logically, you have all the background you’ll 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, you’ll master the thought processes necessary for effective programming and learn how to generalize narrowly conceived algorithms to widen their usefulness without losing efficiency. You’ll 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
| Publisher | Addison-Wesley Professional |
| Publication date | 13 Sept. 2011 |
| Edition | 1st |
| Language | English |
| Print length | 310 pages |
| ISBN-10 | 0321942043 |
| ISBN-13 | 978-0321942043 |
| Item weight | 426 g |
| Dimensions | 17.78 x 1.78 x 22.86 cm |
DESCRIÇÃO DO PRODUTO
Perguntas e respostas do cliente
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Pergunta:
Who is this book for?
Resposta: This book is for reasonably proficient programmers who can think logically. -
Pergunta:
What topics are covered in the book?
Resposta: The book covers generic programming, mathematical concepts of abstraction, abstract algebra, number theory, and the implementation of a real-world public-key cryptosystem. -
Pergunta:
What is the main takeaway from this book?
Resposta: The main takeaway is the ability to write simpler and more powerful code by applying mathematical principles to programming. -
Pergunta:
Is this book suitable for beginners in mathematics?
Resposta: Some of the math in this book may be complex, so it may require careful study for those less experienced in mathematics. -
Pergunta:
Does the book provide practical instruction on writing code?
Resposta: The practical instruction on writing code is limited. The book promotes adopting a generic programming attitude and encourages revising and refining code for efficiency and generality. -
Pergunta:
Is the book applicable to current programming practices?
Resposta: Some of the hypotheticals and examples in the book have been incorporated into newer C++ standards since its release, limiting their relevance to current programming practices.
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Recursos e benefícios
- Learn how to generalize algorithms
- Gain deep insight into the value of mathematics to programming
- Discover powerful mathematical approaches to abstraction
- Use mathematical techniques to organize knowledge about your algorithms and data structures
- Learn from surprising subtleties of simple programming tasks
- Exploit theoretical knowledge in practical implementations
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