Discrete Structures with Contemporary Applications
暫譯: 當代應用的離散結構
Stanoyevitch, Alexander
- 出版商: CRC
- 出版日期: 2024-10-14
- 售價: $2,710
- 貴賓價: 9.5 折 $2,575
- 語言: 英文
- 頁數: 1002
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1032917369
- ISBN-13: 9781032917368
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相關主題
商品描述
Reflecting many of the recent advances and trends in this area, Discrete Structures with Contemporary Applications covers the core topics in discrete structures as well as an assortment of novel applications-oriented topics. The applications described include simulations, genetic algorithms, network flows, probabilistic primality tests, public key cryptography, and coding theory.
A modern and comprehensive introduction to discrete structures
With clear definitions and theorems and carefully explained proofs, this classroom-tested text presents an accessible yet rigorous treatment of the material. Numerous worked-out examples illustrate key points while figures and tables help students grasp the more subtle and difficult concepts. "Exercises for the Reader" are interspersed throughout the text, with complete solutions included in an appendix. In addition to these, each section ends with extensive, carefully crafted exercise sets ranging from routine to nontrivial; answers can be found in another appendix. Most sections also contain computer exercises that guide students through the process of writing their own programs on any computing platform.
Accommodates various levels of computer implementation
Although the book highly encourages the use of computing platforms, it can be used without computers. The author explains algorithms in ordinary English and, when appropriate, in a natural and easy-to-understand pseudo code that can be readily translated into any computer language. A supporting website provides an extensive set of sample programs.
商品描述(中文翻譯)
反映了該領域許多近期的進展和趨勢,當代應用的離散結構涵蓋了離散結構的核心主題以及一系列新穎的應用導向主題。所描述的應用包括模擬、遺傳演算法、網路流、隨機質數測試、公鑰密碼學和編碼理論。
離散結構的現代且全面的介紹
本書以清晰的定義和定理以及仔細解釋的證明,提供了一個可接近但又嚴謹的教材。大量的範例說明了關鍵點,而圖形和表格則幫助學生理解更微妙和困難的概念。書中穿插了「讀者練習」,並在附錄中提供完整的解答。此外,每個章節結尾都有精心設計的練習題集,範圍從常規到非平凡;答案可以在另一個附錄中找到。大多數章節還包含計算機練習,指導學生在任何計算平台上編寫自己的程式。
適應各種計算機實作的水平
雖然本書強烈鼓勵使用計算平台,但也可以在沒有計算機的情況下使用。作者用普通英語解釋演算法,並在適當的情況下使用自然且易於理解的偽代碼,這些代碼可以輕鬆轉換為任何計算機語言。支持網站提供了一套廣泛的範例程式。
作者簡介
Alexander Stanoyevitch is a professor at California State University-Dominguez Hills. He completed his doctorate in mathematical analysis at the University of Michigan, Ann Arbor, and has held academic positions at the University of Hawaii and the University of Guam. Dr. Stanoyevitch has taught many upper-level classes to mathematics and computer science students, has published several articles in leading mathematical journals, and has been an invited speaker at numerous lectures and conferences in the United States, Europe, and Asia. His research interests include areas of both pure and applied mathematics.
作者簡介(中文翻譯)
亞歷山大·斯塔諾耶維奇是加州州立大學多明格斯山校區的教授。他在密西根大學安娜堡校區完成了數學分析的博士學位,並曾在夏威夷大學和關島大學擔任學術職位。斯塔諾耶維奇博士曾教授多門高級課程給數學和計算機科學的學生,並在多本領先的數學期刊上發表了幾篇文章,還曾在美國、歐洲和亞洲的多場講座和會議中擔任受邀演講者。他的研究興趣包括純數學和應用數學的領域。