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- From Mathematics to Generic Programming
From Mathematics to Generic Programming
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RSD 5387
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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 |
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Design Patterns Editorial Review
From Mathematics To Generic Programming is a fascinating journey through mathematical history, showcasing key developments that enhance both enjoyment and education. This book reflects on how theoretical concepts can be translated into effective algorithms, paralleling the groundbreaking impact of the Standard Template Library in programming. Readers appreciate its dense yet readable style, with short, well-explained code examples among the 310 pages. While it primarily serves those with a passion for mathematics, it may challenge those looking strictly for programming insights. The book hints at an accessible entry point for proficient programmers but may require some mathematical background to navigate its depth effectively.
Customer Reviews & Ratings
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5 zvezda
68%
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4 zvezda
23%
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3 zvezda
6%
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2 zvezda
2%
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1 zvezda
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Прос
- Rich historical context of mathematics
- Short, clear code examples provided
- Dense material packed with insights
- Readable despite the complexity
- Challenging yet informative for mathematicians
Цонс
- May not meet expectations for pure coding insights
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RSD 5387
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Карактеристике и предности
- 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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