Primality With No Boundaries

Author : David M. Bressoud
Publisher : Springer Science & Business Media
ISBN 13 : 1461245443
Total Pages : 252 pages
Book Rating : 4.45/5 ( download)

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Download or read book Factorization and Primality Testing written by David M. Bressoud and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: "About binomial theorems I'm teeming with a lot of news, With many cheerful facts about the square on the hypotenuse. " - William S. Gilbert (The Pirates of Penzance, Act I) The question of divisibility is arguably the oldest problem in mathematics. Ancient peoples observed the cycles of nature: the day, the lunar month, and the year, and assumed that each divided evenly into the next. Civilizations as separate as the Egyptians of ten thousand years ago and the Central American Mayans adopted a month of thirty days and a year of twelve months. Even when the inaccuracy of a 360-day year became apparent, they preferred to retain it and add five intercalary days. The number 360 retains its psychological appeal today because it is divisible by many small integers. The technical term for such a number reflects this appeal. It is called a "smooth" number. At the other extreme are those integers with no smaller divisors other than 1, integers which might be called the indivisibles. The mystic qualities of numbers such as 7 and 13 derive in no small part from the fact that they are indivisibles. The ancient Greeks realized that every integer could be written uniquely as a product of indivisibles larger than 1, what we appropriately call prime numbers. To know the decomposition of an integer into a product of primes is to have a complete description of all of its divisors.

Author : Richard Klima
Publisher : CRC Press
ISBN 13 : 1351692542
Total Pages : 482 pages
Book Rating : 4.40/5 ( download)

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Download or read book Cryptology written by Richard Klima and published by CRC Press. This book was released on 2018-12-07 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptology: Classical and Modern, Second Edition proficiently introduces readers to the fascinating field of cryptology. The book covers classical methods including substitution, transposition, Alberti, Vigenère, and Hill ciphers. It also includes coverage of the Enigma machine, Turing bombe, and Navajo code. Additionally, the book presents modern methods like RSA, ElGamal, and stream ciphers, as well as the Diffie-Hellman key exchange and Advanced Encryption Standard. When possible, the book details methods for breaking both classical and modern methods. The new edition expands upon the material from the first edition which was oriented for students in non-technical fields. At the same time, the second edition supplements this material with new content that serves students in more technical fields as well. Thus, the second edition can be fully utilized by both technical and non-technical students at all levels of study. The authors include a wealth of material for a one-semester cryptology course, and research exercises that can be used for supplemental projects. Hints and answers to selected exercises are found at the end of the book. Features: Requires no prior programming knowledge or background in college-level mathematics Illustrates the importance of cryptology in cultural and historical contexts, including the Enigma machine, Turing bombe, and Navajo code Gives straightforward explanations of the Advanced Encryption Standard, public-key ciphers, and message authentication Describes the implementation and cryptanalysis of classical ciphers, such as substitution, transposition, shift, affine, Alberti, Vigenère, and Hill

Author : Larry Pace
Publisher : Apress
ISBN 13 : 1430245557
Total Pages : 322 pages
Book Rating : 4.51/5 ( download)

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Download or read book Beginning R written by Larry Pace and published by Apress. This book was released on 2012-11-28 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning R: An Introduction to Statistical Programming is a hands-on book showing how to use the R language, write and save R scripts, build and import data files, and write your own custom statistical functions. R is a powerful open-source implementation of the statistical language S, which was developed by AT&T. R has eclipsed S and the commercially-available S-Plus language, and has become the de facto standard for doing, teaching, and learning computational statistics. R is both an object-oriented language and a functional language that is easy to learn, easy to use, and completely free. A large community of dedicated R users and programmers provides an excellent source of R code, functions, and data sets. R is also becoming adopted into commercial tools such as Oracle Database. Your investment in learning R is sure to pay off in the long term as R continues to grow into the go to language for statistical exploration and research. Covers the freely-available R language for statistics Shows the use of R in specific uses case such as simulations, discrete probability solutions, one-way ANOVA analysis, and more Takes a hands-on and example-based approach incorporating best practices with clear explanations of the statistics being done

Author : Will Kurt
Publisher : Simon and Schuster
ISBN 13 : 1638356777
Total Pages : 794 pages
Book Rating : 4.76/5 ( download)

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Download or read book Get Programming with Haskell written by Will Kurt and published by Simon and Schuster. This book was released on 2018-03-06 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summary Get Programming with Haskell leads you through short lessons, examples, and exercises designed to make Haskell your own. It has crystal-clear illustrations and guided practice. You will write and test dozens of interesting programs and dive into custom Haskell modules. You will gain a new perspective on programming plus the practical ability to use Haskell in the everyday world. (The 80 IQ points: not guaranteed.) Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the Technology Programming languages often differ only around the edges—a few keywords, libraries, or platform choices. Haskell gives you an entirely new point of view. To the software pioneer Alan Kay, a change in perspective can be worth 80 IQ points and Haskellers agree on the dramatic benefits of thinking the Haskell way—thinking functionally, with type safety, mathematical certainty, and more. In this hands-on book, that's exactly what you'll learn to do. What's Inside Thinking in Haskell Functional programming basics Programming in types Real-world applications for Haskell About the Reader Written for readers who know one or more programming languages. Table of Contents Lesson 1 Getting started with Haskell Unit 1 - FOUNDATIONS OF FUNCTIONAL PROGRAMMING Lesson 2 Functions and functional programming Lesson 3 Lambda functions and lexical scope Lesson 4 First-class functions Lesson 5 Closures and partial application Lesson 6 Lists Lesson 7 Rules for recursion and pattern matching Lesson 8 Writing recursive functions Lesson 9 Higher-order functions Lesson 10 Capstone: Functional object-oriented programming with robots! Unit 2 - INTRODUCING TYPES Lesson 11 Type basics Lesson 12 Creating your own types Lesson 13 Type classes Lesson 14 Using type classes Lesson 15 Capstone: Secret messages! Unit 3 - PROGRAMMING IN TYPES Lesson 16 Creating types with "and" and "or" Lesson 17 Design by composition—Semigroups and Monoids Lesson 18 Parameterized types Lesson 19 The Maybe type: dealing with missing values Lesson 20 Capstone: Time series Unit 4 - IO IN HASKELL Lesson 21 Hello World!—introducing IO types Lesson 22 Interacting with the command line and lazy I/O Lesson 23 Working with text and Unicode Lesson 24 Working with files Lesson 25 Working with binary data Lesson 26 Capstone: Processing binary files and book data Unit 5 - WORKING WITH TYPE IN A CONTEXT Lesson 27 The Functor type class Lesson 28 A peek at the Applicative type class: using functions in a context Lesson 29 Lists as context: a deeper look at the Applicative type class Lesson 30 Introducing the Monad type class Lesson 31 Making Monads easier with donotation Lesson 32 The list monad and list comprehensions Lesson 33 Capstone: SQL-like queries in Haskell Unit 6 - ORGANIZING CODE AND BUILDING PROJECTS Lesson 34 Organizing Haskell code with modules Lesson 35 Building projects with stack Lesson 36 Property testing with QuickCheck Lesson 37 Capstone: Building a prime-number library Unit 7 - PRACTICAL HASKELL Lesson 38 Errors in Haskell and the Either type Lesson 39 Making HTTP requests in Haskell Lesson 40 Working with JSON data by using Aeson Lesson 41 Using databases in Haskell Lesson 42 Efficient, stateful arrays in Haskell Afterword - What's next? Appendix - Sample answers to exercise

Author : Jason Brownlee
Publisher : SuperFastPython
ISBN 13 :
Total Pages : 75 pages
Book Rating : 4./5 ( download)

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Download or read book Python Multiprocessing Pool Jump-Start written by Jason Brownlee and published by SuperFastPython. This book was released on 2022-07-19 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: How much faster could your python code run (if it used all CPU cores)? The multiprocessing.Pool class provides easy-to-use process-based concurrency. This is not some random third-party library, this is a class provided in the Python standard library (already installed on your system). This is the class you need to use to make your code run faster. There's just one problem. No one knows about it (or how to use it well). Introducing: "Python Multiprocessing Pool Jump-Start". A new book designed to teach you multiprocessing pools in Python, super fast! You will get a fast-paced, 7-part course to get you started and make you awesome at using the multiprocessing pool. Each of the 7 lessons was carefully designed to teach one critical aspect of the multiprocessing pool, with explanations, code snippets and worked examples. Each lesson ends with an exercise for you to complete to confirm you understood the topic, a summary of what was learned, and links for further reading if you want to go deeper. Stop copy-pasting code from outdated StackOverflow answers. Learn Python concurrency correctly, step-by-step.

Author : Hans Riesel
Publisher : Springer Science & Business Media
ISBN 13 : 1461202515
Total Pages : 481 pages
Book Rating : 4.16/5 ( download)

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Download or read book Prime Numbers and Computer Methods for Factorization written by Hans Riesel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system is the factorization of large numbers into their primes. Thus an ancient number-theory concept now plays a crucial role in communication among millions of people who may have little or no knowledge of even elementary mathematics. The independent structure of each chapter of the book makes it highly readable for a wide variety of mathematicians, students of applied number theory, and others interested in both study and research in number theory and cryptography.

Author : Richard Crandall
Publisher : Springer Science & Business Media
ISBN 13 : 0387289798
Total Pages : 597 pages
Book Rating : 4.93/5 ( download)

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Download or read book Prime Numbers written by Richard Crandall and published by Springer Science & Business Media. This book was released on 2006-04-07 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field

Author : Mitsunori Ogihara
Publisher : Springer
ISBN 13 : 3319894919
Total Pages : 514 pages
Book Rating : 4.11/5 ( download)

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Download or read book Fundamentals of Java Programming written by Mitsunori Ogihara and published by Springer. This book was released on 2018-07-13 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making extensive use of examples, this textbook on Java programming teaches the fundamental skills for getting started in a command-line environment. Meant to be used for a one-semester course to build solid foundations in Java, Fundamentals of Java Programming eschews second-semester content to concentrate on over 180 code examples and 250 exercises. Key object classes (String, Scanner, PrintStream, Arrays, and File) are included to get started in Java programming. The programs are explained with almost line-by-line descriptions, also with chapter-by-chapter coding exercises. Teaching resources include solutions to the exercises, as well as digital lecture slides.

Author : P. J. Giblin
Publisher : Cambridge University Press
ISBN 13 : 9780521409889
Total Pages : 256 pages
Book Rating : 4.88/5 ( download)

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Download or read book Primes and Programming written by P. J. Giblin and published by Cambridge University Press. This book was released on 1993-09-02 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this introductory book Dr Giblin describes methods that have been developed for testing the primality of numbers, provides Pascal programs for their implementation, and gives applications to coding.

Author : Neil Tennant
Publisher : Oxford University Press
ISBN 13 : 9780199251605
Total Pages : 488 pages
Book Rating : 4.06/5 ( download)

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Download or read book The Taming of the True written by Neil Tennant and published by Oxford University Press. This book was released on 1997 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Taming of the True defends and develops global semantic anti-realism. Neil Tennant argues compellingly that every truth is knowable, and that manifestationism in the theory of meaning entails logical reform. He extends semantic anti-realism to empirical discourse, developing new accounts of the analytic/synthetic distinction, cognitive significance and constructive falsifiability. The book has important consequences for the philosophy of mathematics and logic, the theory of meaning, metaphysics, and epistemology.