Basic Structures of Function Field Arithmetic

Basic Structures of Function Field Arithmetic

Author: David Goss

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 433

ISBN-13: 3642614809

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From the reviews:"The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important area of mathematics...The arithmetic of function fields is a universe filled with beautiful surprises, in which familiar objects from classical number theory reappear in new guises, and in which entirely new objects play important roles. Goss'clear exposition and lively style make this book an excellent introduction to this fascinating field." MR 97i:11062


Basic Real Analysis

Basic Real Analysis

Author: Houshang H. Sohrab

Publisher: Springer Science & Business Media

Published: 2003-06-03

Total Pages: 584

ISBN-13: 9780817642112

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Basic Real Analysis demonstrates the richness of real analysis, giving students an introduction both to mathematical rigor and to the deep theorems and counter examples that arise from such rigor. In this modern and systematic text, all the touchstone results and fundamentals are carefully presented in a style that requires little prior familiarity with proofs or mathematical language. With its many examples, exercises and broad view of analysis, this work is ideal for senior undergraduates and beginning graduate students, either in the classroom or for self-study.


Function Algebras on Finite Sets

Function Algebras on Finite Sets

Author: Dietlinde Lau

Publisher: Springer Science & Business Media

Published: 2006-11-23

Total Pages: 668

ISBN-13: 3540360239

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Function Algebras on Finite Sets gives a broad introduction to the subject, leading up to the cutting edge of research. The general concepts of the Universal Algebra are given in the first part of the book, to familiarize the reader from the very beginning on with the algebraic side of function algebras. The second part covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, and clone theory.


Advanced R

Advanced R

Author: Hadley Wickham

Publisher: CRC Press

Published: 2015-09-15

Total Pages: 669

ISBN-13: 1498759807

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An Essential Reference for Intermediate and Advanced R Programmers Advanced R presents useful tools and techniques for attacking many types of R programming problems, helping you avoid mistakes and dead ends. With more than ten years of experience programming in R, the author illustrates the elegance, beauty, and flexibility at the heart of R. The book develops the necessary skills to produce quality code that can be used in a variety of circumstances. You will learn: The fundamentals of R, including standard data types and functions Functional programming as a useful framework for solving wide classes of problems The positives and negatives of metaprogramming How to write fast, memory-efficient code This book not only helps current R users become R programmers but also shows existing programmers what’s special about R. Intermediate R programmers can dive deeper into R and learn new strategies for solving diverse problems while programmers from other languages can learn the details of R and understand why R works the way it does.


R for Data Science

R for Data Science

Author: Hadley Wickham

Publisher: "O'Reilly Media, Inc."

Published: 2016-12-12

Total Pages: 521

ISBN-13: 1491910364

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Learn how to use R to turn raw data into insight, knowledge, and understanding. This book introduces you to R, RStudio, and the tidyverse, a collection of R packages designed to work together to make data science fast, fluent, and fun. Suitable for readers with no previous programming experience, R for Data Science is designed to get you doing data science as quickly as possible. Authors Hadley Wickham and Garrett Grolemund guide you through the steps of importing, wrangling, exploring, and modeling your data and communicating the results. You'll get a complete, big-picture understanding of the data science cycle, along with basic tools you need to manage the details. Each section of the book is paired with exercises to help you practice what you've learned along the way. You'll learn how to: Wrangle—transform your datasets into a form convenient for analysis Program—learn powerful R tools for solving data problems with greater clarity and ease Explore—examine your data, generate hypotheses, and quickly test them Model—provide a low-dimensional summary that captures true "signals" in your dataset Communicate—learn R Markdown for integrating prose, code, and results


Penetration Tester's Open Source Toolkit

Penetration Tester's Open Source Toolkit

Author: Jeremy Faircloth

Publisher: Syngress

Published: 2016-09-20

Total Pages: 459

ISBN-13: 0128023538

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Continuing a tradition of excellent training on open source tools, Penetration Tester's Open Source Toolkit, Fourth Edition is a great reference to the open source tools available today and teaches you how to use them by demonstrating them in real-world examples. This book expands upon existing documentation so that a professional can get the most accurate and in-depth test results possible. Real-life scenarios are a major focus so that the reader knows which tool to use and how to use it for a variety of situations. This updated edition covers the latest technologies and attack vectors, including industry specific case studies and complete laboratory setup. Great commercial penetration testing tools can be very expensive and sometimes hard to use or of questionable accuracy. This book helps solve both of these problems. The open source, no-cost penetration testing tools presented work as well or better than commercial tools and can be modified by the user for each situation if needed. Many tools, even ones that cost thousands of dollars, do not come with any type of instruction on how and in which situations the penetration tester can best use them. Penetration Tester's Open Source Toolkil, Fourth Edition bridges this gap providing the critical information that you need. - Details current open source penetration tools - Presents core technologies for each type of testing and the best tools for the job - New to this edition: expanded wireless pen testing coverage to include Bluetooth, coverage of cloud computing and virtualization, new tools, and the latest updates to tools, operating systems, and techniques - Includes detailed laboratory environment setup, new real-world examples, and industry-specific case studies


Extension of Mathematica system functionality

Extension of Mathematica system functionality

Author: Victor Aladjev

Publisher: Lulu.com

Published: 2015-06-08

Total Pages: 565

ISBN-13: 1329199979

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Systems of computer mathematics find more and more broad application in a number of natural, economical and social fields. One of leaders among means of this class undoubtedly is Mathematica system. The book focuses on one important aspect - modular programming supported by Mathematica. Software presented in the book contain a number of rather useful and effective methods of procedural and functional programming in Mathematica system that extend the system software and allow sometimes more efficiently and easily to program the objects for various purposes first of all of system character. The above software essentially dilate the Mathematica functionality and can be useful for programming of many applications above all of system character. The book is provided with freeware package AVZ_Package containing more than 680 procedures, functions, global variables and other program objects. The present book is oriented on a wide enough range of users of systems of the computer mathematics.