Mathematics Of The Internet

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Mathematical Principles of the Internet, Volume 2

Author : Nirdosh Bhatnagar
Publisher : CRC Press
ISBN 13 : 1351379127
Total Pages : 694 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Mathematical Principles of the Internet, Volume 2 by : Nirdosh Bhatnagar

Download or read book Mathematical Principles of the Internet, Volume 2 written by Nirdosh Bhatnagar and published by CRC Press. This book was released on 2018-11-21 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.

The Mathematics of Internet Congestion Control

Author : Rayadurgam Srikant
Publisher : Springer Science & Business Media
ISBN 13 : 0817682163
Total Pages : 170 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis The Mathematics of Internet Congestion Control by : Rayadurgam Srikant

Download or read book The Mathematics of Internet Congestion Control written by Rayadurgam Srikant and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Recommended by T.Basar, SC series ed. * This text addresses a new, active area of research and fills a gap in the literature. * Bridges mathematics, engineering, and computer science; considers stochastic and optimization aspects of congestion control in Internet data transfers. * Useful as a supplementary text & reference for grad students with some background in control theory; also suitable for researchers.

Using the Internet

Author : Douglas Butler
Publisher :
ISBN 13 : 9781857494181
Total Pages : 54 pages
Book Rating : 4.4/5 (941 download)

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Book Synopsis Using the Internet by : Douglas Butler

Download or read book Using the Internet written by Douglas Butler and published by . This book was released on 1998 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Principles of the Internet, Volume 1

Author : Nirdosh Bhatnagar
Publisher : CRC Press
ISBN 13 : 1351379151
Total Pages : 1022 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Mathematical Principles of the Internet, Volume 1 by : Nirdosh Bhatnagar

Download or read book Mathematical Principles of the Internet, Volume 1 written by Nirdosh Bhatnagar and published by CRC Press. This book was released on 2018-11-20 with total page 1022 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.

Mathematical Principles of the Internet, Two Volume Set

Author : Nirdosh Bhatnagar
Publisher : CRC Press
ISBN 13 : 1351379216
Total Pages : 1768 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Mathematical Principles of the Internet, Two Volume Set by : Nirdosh Bhatnagar

Download or read book Mathematical Principles of the Internet, Two Volume Set written by Nirdosh Bhatnagar and published by CRC Press. This book was released on 2019-03-18 with total page 1768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, these cover only a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.

The Beauty of Mathematics in Computer Science

Author : Jun Wu
Publisher : CRC Press
ISBN 13 : 1351689118
Total Pages : 266 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis The Beauty of Mathematics in Computer Science by : Jun Wu

Download or read book The Beauty of Mathematics in Computer Science written by Jun Wu and published by CRC Press. This book was released on 2018-11-20 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Beauty of Mathematics in Computer Science explains the mathematical fundamentals of information technology products and services we use every day, from Google Web Search to GPS Navigation, and from speech recognition to CDMA mobile services. The book was published in Chinese in 2011 and has sold more than 600,000 copies. Readers were surprised to find that many daily-used IT technologies were so tightly tied to mathematical principles. For example, the automatic classification of news articles uses the cosine law taught in high school. The book covers many topics related to computer applications and applied mathematics including: Natural language processing Speech recognition and machine translation Statistical language modeling Quantitive measurement of information Graph theory and web crawler Pagerank for web search Matrix operation and document classification Mathematical background of big data Neural networks and Google’s deep learning Jun Wu was a staff research scientist in Google who invented Google’s Chinese, Japanese, and Korean Web Search Algorithms and was responsible for many Google machine learning projects. He wrote official blogs introducing Google technologies behind its products in very simple languages for Chinese Internet users from 2006-2010. The blogs had more than 2 million followers. Wu received PhD in computer science from Johns Hopkins University and has been working on speech recognition and natural language processing for more than 20 years. He was one of the earliest engineers of Google, managed many products of the company, and was awarded 19 US patents during his 10-year tenure there. Wu became a full-time VC investor and co-founded Amino Capital in Palo Alto in 2014 and is the author of eight books.

Using Internet Primary Sources to Teach Critical Thinking Skills in Mathematics

Author : Evan Glazer
Publisher : Libraries Unlimited
ISBN 13 : 031331327X
Total Pages : 0 pages
Book Rating : 4.3/5 (133 download)

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Book Synopsis Using Internet Primary Sources to Teach Critical Thinking Skills in Mathematics by : Evan Glazer

Download or read book Using Internet Primary Sources to Teach Critical Thinking Skills in Mathematics written by Evan Glazer and published by Libraries Unlimited. This book was released on 2001-08-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics teachers and school library media specialists will find this book a valuable resource for using the Web to promote critical thinking in the high school mathematics classroom. It is filled with instructional strategies and an expansive set of activities that cover a broad array of mathematics topics spanning from prealgebra through calculus. Teachers using the questions and activities in this book will help their students meet the standards set forth by the National Council for Teachers of Mathematics. Various types of mathematics related sources on the Internet are outlined within this book, including data and simulations related to real world situations such as saving funds and computing interest earned for college, purchasing a home, or decoding train and plane schedules. The author develops a framework for critical thinking in mathematics and helps teachers create a supportive classroom environment. Each activity highlights a web source, the mathematics topics involved, the appropriate grade levels of study, possible student investigations, and related web sources for continued exploration, promoting a student-centered inquiry.

A Course on the Web Graph

Author : Anthony Bonato
Publisher : American Mathematical Soc.
ISBN 13 : 0821844679
Total Pages : 200 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Course on the Web Graph by : Anthony Bonato

Download or read book A Course on the Web Graph written by Anthony Bonato and published by American Mathematical Soc.. This book was released on 2008 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A Course on the Web Graph provides a comprehensive introduction to state-of-the-art research on the applications of graph theory to real-world networks such as the web graph. It is the first mathematically rigorous textbook discussing both models of the web graph and algorithms for searching the web. After introducing key tools required for the study of web graph mathematics, an overview is given of the most widely studied models for the web graph. A discussion of popular web search algorithms, e.g. PageRank, is followed by additional topics, such as applications of infinite graph theory to the web graph, spectral properties of power law graphs, domination in the web graph, and the spread of viruses in networks. The book is based on a graduate course taught at the AARMS 2006 Summer School at Dalhousie University. As such it is self-contained and includes over 100 exercises. The reader of the book will gain a working knowledge of current research in graph theory and its modern applications. In addition, the reader will learn first-hand about models of the web, and the mathematics underlying modern search engines."--Publisher's description.

Teaching and Learning Mathematics Online

Author : James P. Howard, II
Publisher : CRC Press
ISBN 13 : 1351245562
Total Pages : 347 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Teaching and Learning Mathematics Online by : James P. Howard, II

Download or read book Teaching and Learning Mathematics Online written by James P. Howard, II and published by CRC Press. This book was released on 2020-05-10 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses

Mathematical and Algorithmic Foundations of the Internet

Author : Fabrizio Luccio
Publisher : CRC Press
ISBN 13 : 1439831386
Total Pages : 224 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematical and Algorithmic Foundations of the Internet by : Fabrizio Luccio

Download or read book Mathematical and Algorithmic Foundations of the Internet written by Fabrizio Luccio and published by CRC Press. This book was released on 2011-07-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: To truly understand how the Internet and Web are organized and function requires knowledge of mathematics and computation theory. Mathematical and Algorithmic Foundations of the Internet introduces the concepts and methods upon which computer networks rely and explores their applications to the Internet and Web. The book offers a unique approach to mathematical and algorithmic concepts, demonstrating their universality by presenting ideas and examples from various fields, including literature, history, and art. Progressing from fundamental concepts to more specific topics and applications, the text covers computational complexity and randomness, networks and graphs, parallel and distributed computing, and search engines. While the mathematical treatment is rigorous, it is presented at a level that can be grasped by readers with an elementary mathematical background. The authors also present a lighter side to this complex subject by illustrating how many of the mathematical concepts have counterparts in everyday life. The book provides in-depth coverage of the mathematical prerequisites and assembles a complete presentation of how computer networks function. It is a useful resource for anyone interested in the inner functioning, design, and organization of the Internet.

The Mathematics of Internet Congestion Control

Author : Rayadurgam Srikant
Publisher :
ISBN 13 : 9780817682170
Total Pages : 180 pages
Book Rating : 4.6/5 (821 download)

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Book Synopsis The Mathematics of Internet Congestion Control by : Rayadurgam Srikant

Download or read book The Mathematics of Internet Congestion Control written by Rayadurgam Srikant and published by . This book was released on 2011-05-08 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics for Computer Science

Author : Eric Lehman
Publisher :
ISBN 13 : 9789888407064
Total Pages : 988 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Mathematics for Computer Science by : Eric Lehman

Download or read book Mathematics for Computer Science written by Eric Lehman and published by . This book was released on 2017-03-08 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

Mathematics on the Internet

Author : Jerry A. Ameis
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Mathematics on the Internet by : Jerry A. Ameis

Download or read book Mathematics on the Internet written by Jerry A. Ameis and published by Prentice Hall. This book was released on 2006 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aligned with NCTM Standards, this brief book helps teachers in elementary, middle, and high schools to become better acquainted with some of the resource materials and information available on the Internet for teaching mathematics. FEATURES: Annotated list of websites Contains a list of websites that offer resources for teaching mathematics and professional development opportunities. Reduces time teachers spend searching for these resources. NEW! receive a code to a website that links you directly to each URL listed in the book. Examples Presents additional useful examples on using the Internet. Assists readers in using and understanding the developing world of information technology for teaching mathematics. NCTM Principles and Standards for School Mathematics overview. Provides useful information regarding mathematics reform, presents an example of teaching mathematics that reflects the NCTM standards, and gives students a clear basis for understanding modification in mathematics.

Mathematics on the Internet, 1999

Author : Andrew T. Stull
Publisher :
ISBN 13 : 9780130839985
Total Pages : 52 pages
Book Rating : 4.8/5 (399 download)

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Book Synopsis Mathematics on the Internet, 1999 by : Andrew T. Stull

Download or read book Mathematics on the Internet, 1999 written by Andrew T. Stull and published by . This book was released on 1999 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Mathematics

Author : Kiyoshi Shirayanagi
Publisher : World Scientific
ISBN 13 : 981024763X
Total Pages : 241 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Computer Mathematics by : Kiyoshi Shirayanagi

Download or read book Computer Mathematics written by Kiyoshi Shirayanagi and published by World Scientific. This book was released on 2001 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers some of the most recent and significant advances in computer mathematics, including algebraic, symbolic, numeric and geometric computation, automated mathematical reasoning, mathematical software and computer-aided geometric design. Researchers, engineers, academics and graduate students interested in doing mathematics using computers will find this volume good reading and a valuable reference.

The Popularization of Mathematics

Author : A. G. Howson
Publisher : Cambridge University Press
ISBN 13 : 9780521408677
Total Pages : 222 pages
Book Rating : 4.4/5 (86 download)

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Book Synopsis The Popularization of Mathematics by : A. G. Howson

Download or read book The Popularization of Mathematics written by A. G. Howson and published by Cambridge University Press. This book was released on 1990-11-22 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the papers arising from the ICMI study seminar on the popularization of mathematics held at the University of Leeds, UK, 17-22 September 1989. The event was organized in conjunction with a highly successful touring exhibition known as the 'Pop Maths Roadshow'. Inspired by the discussion document prepared by Howson, Kahane and Pollak, the symposium consisted of three plenary sessions discussing the problems faced in the popularization through particular media. Members were present from a variety of backgrounds and discussion groups were devoted to specific themes, such as the image of mathematicians, TV and films, and mathematics in different cultures.

Discrete Mathematics

Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781724572639
Total Pages : 238 pages
Book Rating : 4.5/5 (726 download)

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Book Synopsis Discrete Mathematics by : Oscar Levin

Download or read book Discrete Mathematics written by Oscar Levin and published by Createspace Independent Publishing Platform. This book was released on 2018-07-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.