密碼學-密碼分析與實驗3/e (3版)
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書名:密碼學:密碼分析與實驗(第三版)
作者:鄧安文
出版社:全華
出版日期:2018/12/19
ISBN:9789864639960
內容簡介
1.本書從基本數論出發,引領讀者深入探索密碼學的世界:包括加密標準AES與其代數結構、RSA與破譯RSA演算法、ElGamal、DSA,以及各種以離散對數為主的密碼系統與破譯方法、橢圓曲線密碼實況以及破譯方法、量子密碼以及Shor量子演算法。
2.導入德國Kassel大學開發的密碼教學軟體CrypTool 2,簡化密碼分析演練的難度,藉由圖形化介面,讓密碼學也能「所視即所得」,即使不諳程式設計,也能動手實作。並保留原C/C++/Java的程式源碼,讓熟悉程式設計者,得以更有效地結合所學。
3.探討新一代金融的新星──密碼貨幣中的密碼機制。以及2017年以來,密碼學相關的重大事件──51%雙重支付攻擊成功、Google的72量子位元量子處理器Bristlecone。
■ 本書特色
1. 將學習的重心,擺放在數論與密碼學間的深入探討。
2. 搭配CrypTool2密碼教學軟體,讓學理與實作得以融會貫通。
3. 已熟知程式設計的學習者,也可以直接探究作者提供的C/C++/Java程式源碼。
4. 作者在各重要觀念處均提供其精心錄製的教學影片連結,可供學習者自修與複習。
目錄
01 緒論
02 古典密碼
03 基礎數論
04 訊息理論
05 AES與對稱金鑰密碼系統
06 RSA密碼
07 非對稱密碼系統與離散對數
08 數位簽章
09 質數與大整數算數
10 橢圓曲線密碼
11 公開金鑰基礎建設
12 量子密碼
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Calculus: Early Transcendentals, Metric Edition (9版)
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Calculus:Early Transcendentals, Metric Edition
ISBN13:9780357113516
出版社:Cengage Learning; Inc
作者:James Stewart (McMaster University);Saleem (California State University Watson Long Beach);Daniel K. Clegg (Palomar College)
裝訂/頁數:平裝/1408頁
版次:9
出版日:2021/01/17
目錄
Preface.
To the Student.
Diagnostic Tests.
A Preview of Calculus.
1. FUNCTIONS AND MODELS.
Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. Exponential Functions. Inverse Functions and Logarithms. Review. Principles of Problem Solving.
2. LIMITS AND DERIVATIVES.
The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws. The Precise Definition of a Limit. Continuity. Limits at Infinity; Horizontal Asymptotes. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. Review. Problems Plus.
3. DIFFERENTIATION RULES.
Derivatives of Polynomials and Exponential Functions. Applied Project: Building a Better Roller Coaster. The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Discovery Project: Families of Implicit Curves. Derivatives of Logarithmic Functions and Inverse Trigonometric Functions. Rates of Change in the Natural and Social Sciences. Exponential Growth and Decay. Applied Project: Controlling Red Blood Cell Loss During Surgery. Related Rates. Approximations and Differentials. Discovery Project: Taylor Polynomials. Hyperbolic Functions. Review. Problems Plus.
4. APPLICATIONS OF DIFFERENTIATION.
Maximum and Minimum Values. Applied Project: The Calculus of Rainbows. The Mean Value Theorem. What Derivatives Tell Us about the Shape of a Graph. Indeterminate Forms and l'Hospital's Rule. Writing Project: The Origins of l'Hospital's Rule. Summary of Curve Sketching. Graphing with Calculus and Technology. Optimization Problems. Applied Project: The Shape of a Can. Applied Project: Planes and Birds: Minimizing Energy. Newton's Method. Antiderivatives. Review. Problems Plus.
5. INTEGRALS.
The Area and Distance Problems. The Definite Integral. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Indefinite Integrals and the Net Change Theorem. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule. Review. Problems Plus.
6. APPLICATIONS OF INTEGRATION.
Areas Between Curves. Applied Project: The Gini Index. Volumes. Volumes by Cylindrical Shells. Work. Average Value of a Function. Applied Project: Calculus and Baseball. Applied Project: Where to Sit at the Movies. Review. Problems Plus.
7. TECHNIQUES OF INTEGRATION.
Integration by Parts. Trigonometric Integrals. Trigonometric Substitution. Integration of Rational Functions by Partial Fractions. Strategy for Integration. Integration Using Tables and Technology. Discovery Project: Patterns in Integrals. Approxi
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