You Are Probability: Surfing The Matrix

You Are Probability: Surfing The Matrix

Author: Andrea Diem-Lane

Publisher: Lulu.com

Published: 2014-03-15

Total Pages: 56

ISBN-13: 1565438043

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Just think of your father's sperm as a starting off point. A usual male produces about 100 million sperm per ejaculation. Only one of those sperm will survive the arduous journey to its terminal apex. How many sperm does a male produce in, say, an 80-year life span? No precise count is possible, since it varies with each individual, but one can roughly estimate the number to be around 500 billion or perhaps more impressive sounding as a 1/2 trillion. If your own father had five children, this would mean that just in terms of sperm, you are a 1 in a 100 billion winner! Couple this with the rarity of your mother's egg (of the nearly half million follicles where only about 400 or so will become viable) and the very fact that you are alive reading this essay is beyond any moneyed lottery you will ever enter.


Book Synopsis You Are Probability: Surfing The Matrix by : Andrea Diem-Lane

Download or read book You Are Probability: Surfing The Matrix written by Andrea Diem-Lane and published by Lulu.com. This book was released on 2014-03-15 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: Just think of your father's sperm as a starting off point. A usual male produces about 100 million sperm per ejaculation. Only one of those sperm will survive the arduous journey to its terminal apex. How many sperm does a male produce in, say, an 80-year life span? No precise count is possible, since it varies with each individual, but one can roughly estimate the number to be around 500 billion or perhaps more impressive sounding as a 1/2 trillion. If your own father had five children, this would mean that just in terms of sperm, you are a 1 in a 100 billion winner! Couple this with the rarity of your mother's egg (of the nearly half million follicles where only about 400 or so will become viable) and the very fact that you are alive reading this essay is beyond any moneyed lottery you will ever enter.


Text Data Management and Analysis

Text Data Management and Analysis

Author: ChengXiang Zhai

Publisher: Morgan & Claypool

Published: 2016-06-30

Total Pages: 530

ISBN-13: 1970001178

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Recent years have seen a dramatic growth of natural language text data, including web pages, news articles, scientific literature, emails, enterprise documents, and social media such as blog articles, forum posts, product reviews, and tweets. This has led to an increasing demand for powerful software tools to help people analyze and manage vast amounts of text data effectively and efficiently. Unlike data generated by a computer system or sensors, text data are usually generated directly by humans, and are accompanied by semantically rich content. As such, text data are especially valuable for discovering knowledge about human opinions and preferences, in addition to many other kinds of knowledge that we encode in text. In contrast to structured data, which conform to well-defined schemas (thus are relatively easy for computers to handle), text has less explicit structure, requiring computer processing toward understanding of the content encoded in text. The current technology of natural language processing has not yet reached a point to enable a computer to precisely understand natural language text, but a wide range of statistical and heuristic approaches to analysis and management of text data have been developed over the past few decades. They are usually very robust and can be applied to analyze and manage text data in any natural language, and about any topic. This book provides a systematic introduction to all these approaches, with an emphasis on covering the most useful knowledge and skills required to build a variety of practically useful text information systems. The focus is on text mining applications that can help users analyze patterns in text data to extract and reveal useful knowledge. Information retrieval systems, including search engines and recommender systems, are also covered as supporting technology for text mining applications. The book covers the major concepts, techniques, and ideas in text data mining and information retrieval from a practical viewpoint, and includes many hands-on exercises designed with a companion software toolkit (i.e., MeTA) to help readers learn how to apply techniques of text mining and information retrieval to real-world text data and how to experiment with and improve some of the algorithms for interesting application tasks. The book can be used as a textbook for a computer science undergraduate course or a reference book for practitioners working on relevant problems in analyzing and managing text data.


Book Synopsis Text Data Management and Analysis by : ChengXiang Zhai

Download or read book Text Data Management and Analysis written by ChengXiang Zhai and published by Morgan & Claypool. This book was released on 2016-06-30 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have seen a dramatic growth of natural language text data, including web pages, news articles, scientific literature, emails, enterprise documents, and social media such as blog articles, forum posts, product reviews, and tweets. This has led to an increasing demand for powerful software tools to help people analyze and manage vast amounts of text data effectively and efficiently. Unlike data generated by a computer system or sensors, text data are usually generated directly by humans, and are accompanied by semantically rich content. As such, text data are especially valuable for discovering knowledge about human opinions and preferences, in addition to many other kinds of knowledge that we encode in text. In contrast to structured data, which conform to well-defined schemas (thus are relatively easy for computers to handle), text has less explicit structure, requiring computer processing toward understanding of the content encoded in text. The current technology of natural language processing has not yet reached a point to enable a computer to precisely understand natural language text, but a wide range of statistical and heuristic approaches to analysis and management of text data have been developed over the past few decades. They are usually very robust and can be applied to analyze and manage text data in any natural language, and about any topic. This book provides a systematic introduction to all these approaches, with an emphasis on covering the most useful knowledge and skills required to build a variety of practically useful text information systems. The focus is on text mining applications that can help users analyze patterns in text data to extract and reveal useful knowledge. Information retrieval systems, including search engines and recommender systems, are also covered as supporting technology for text mining applications. The book covers the major concepts, techniques, and ideas in text data mining and information retrieval from a practical viewpoint, and includes many hands-on exercises designed with a companion software toolkit (i.e., MeTA) to help readers learn how to apply techniques of text mining and information retrieval to real-world text data and how to experiment with and improve some of the algorithms for interesting application tasks. The book can be used as a textbook for a computer science undergraduate course or a reference book for practitioners working on relevant problems in analyzing and managing text data.


Introduction to Programming in Java

Introduction to Programming in Java

Author: Robert Sedgewick

Publisher: Addison-Wesley Professional

Published: 2017-04-04

Total Pages: 1579

ISBN-13: 0134511603

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This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Programming skills are indispensable in today’s world, not just for computer science students, but also for anyone in any scientific or technical discipline. Introduction to Programming in Java, Second Edition, by Robert Sedgewick and Kevin Wayne is an accessible, interdisciplinary treatment that emphasizes important and engaging applications, not toy problems. The authors supply the tools needed for students and professionals to learn that programming is a natural, satisfying, and creative experience, and to become conversant with one of the world’s most widely used languages. This example-driven guide focuses on Java’s most useful features and brings programming to life for every student in the sciences, engineering, and computer science. Coverage includes Basic elements of programming: variables, assignment statements, built-in data types, conditionals, loops, arrays, and I/O, including graphics and sound Functions, modules, and libraries: organizing programs into components that can be independently debugged, maintained, and reused Algorithms and data structures: sort/search algorithms, stacks, queues, and symbol tables Applications from applied math, physics, chemistry, biology, and computer science Drawing on their extensive classroom experience, throughout the text the authors provide Q&As, exercises, and opportunities for creative engagement with the material. Together with the companion materials described below, this book empowers people to pursue a modern approach to teaching and learning programming. Companion web site (introcs.cs.princeton.edu/java) contains Chapter summaries Supplementary exercises, some with solutions Detailed instructions for installing a Java programming environment Program code and test data suitable for easy download Detailed creative exercises, projects, and other supplementary materials Companion studio-produced online videos (informit.com/sedgewick) are available for purchase and provide students and professionals with the opportunity to engage with the material at their own pace and give instructors the opportunity to spend their time with students helping them to succeed on assignments and exams. Register your product at informit.com/register for convenient access to downloads, updates, and corrections as they become available.


Book Synopsis Introduction to Programming in Java by : Robert Sedgewick

Download or read book Introduction to Programming in Java written by Robert Sedgewick and published by Addison-Wesley Professional. This book was released on 2017-04-04 with total page 1579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Programming skills are indispensable in today’s world, not just for computer science students, but also for anyone in any scientific or technical discipline. Introduction to Programming in Java, Second Edition, by Robert Sedgewick and Kevin Wayne is an accessible, interdisciplinary treatment that emphasizes important and engaging applications, not toy problems. The authors supply the tools needed for students and professionals to learn that programming is a natural, satisfying, and creative experience, and to become conversant with one of the world’s most widely used languages. This example-driven guide focuses on Java’s most useful features and brings programming to life for every student in the sciences, engineering, and computer science. Coverage includes Basic elements of programming: variables, assignment statements, built-in data types, conditionals, loops, arrays, and I/O, including graphics and sound Functions, modules, and libraries: organizing programs into components that can be independently debugged, maintained, and reused Algorithms and data structures: sort/search algorithms, stacks, queues, and symbol tables Applications from applied math, physics, chemistry, biology, and computer science Drawing on their extensive classroom experience, throughout the text the authors provide Q&As, exercises, and opportunities for creative engagement with the material. Together with the companion materials described below, this book empowers people to pursue a modern approach to teaching and learning programming. Companion web site (introcs.cs.princeton.edu/java) contains Chapter summaries Supplementary exercises, some with solutions Detailed instructions for installing a Java programming environment Program code and test data suitable for easy download Detailed creative exercises, projects, and other supplementary materials Companion studio-produced online videos (informit.com/sedgewick) are available for purchase and provide students and professionals with the opportunity to engage with the material at their own pace and give instructors the opportunity to spend their time with students helping them to succeed on assignments and exams. Register your product at informit.com/register for convenient access to downloads, updates, and corrections as they become available.


A Primer on Mathematical Modelling

A Primer on Mathematical Modelling

Author: Alfio Quarteroni

Publisher: Springer Nature

Published: 2020-10-09

Total Pages: 238

ISBN-13: 3030445410

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In this book we describe the magic world of mathematical models: starting from real-life problems, we formulate them in terms of equations, transform equations into algorithms and algorithms into programs to be executed on computers. A broad variety of examples and exercises illustrate that properly designed models can, e.g.: predict the way the number of dolphins in the Aeolian Sea will change as food availability and fishing activity vary; describe the blood flow in a capillary network; calculate the PageRank of websites. This book also includes a chapter with an elementary introduction to Octave, an open-source programming language widely used in the scientific community. Octave functions and scripts for dealing with the problems presented in the text can be downloaded from https://paola-gervasio.unibs.it/quarteroni-gervasio This book is addressed to any student interested in learning how to construct and apply mathematical models.


Book Synopsis A Primer on Mathematical Modelling by : Alfio Quarteroni

Download or read book A Primer on Mathematical Modelling written by Alfio Quarteroni and published by Springer Nature. This book was released on 2020-10-09 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we describe the magic world of mathematical models: starting from real-life problems, we formulate them in terms of equations, transform equations into algorithms and algorithms into programs to be executed on computers. A broad variety of examples and exercises illustrate that properly designed models can, e.g.: predict the way the number of dolphins in the Aeolian Sea will change as food availability and fishing activity vary; describe the blood flow in a capillary network; calculate the PageRank of websites. This book also includes a chapter with an elementary introduction to Octave, an open-source programming language widely used in the scientific community. Octave functions and scripts for dealing with the problems presented in the text can be downloaded from https://paola-gervasio.unibs.it/quarteroni-gervasio This book is addressed to any student interested in learning how to construct and apply mathematical models.


Advanced Statistics for the Behavioral Sciences

Advanced Statistics for the Behavioral Sciences

Author: Jonathon D. Brown

Publisher: Springer

Published: 2019-04-30

Total Pages: 526

ISBN-13: 3319935496

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This book demonstrates the importance of computer-generated statistical analyses in behavioral science research, particularly those using the R software environment. Statistical methods are being increasingly developed and refined by computer scientists, with expertise in writing efficient and elegant computer code. Unfortunately, many researchers lack this programming background, leaving them to accept on faith the black-box output that emerges from the sophisticated statistical models they frequently use. Building on the author’s previous volume, Linear Models in Matrix Form, this text bridges the gap between computer science and research application, providing easy-to-follow computer code for many statistical analyses using the R software environment. The text opens with a foundational section on linear algebra, then covers a variety of advanced topics, including robust regression, model selection based on bias and efficiency, nonlinear models and optimization routines, generalized linear models, and survival and time-series analysis. Each section concludes with a presentation of the computer code used to illuminate the analysis, as well as pointers to packages in R that can be used for similar analyses and nonstandard cases. The accessible code and breadth of topics make this book an ideal tool for graduate students or researchers in the behavioral sciences who are interested in performing advanced statistical analyses without having a sophisticated background in computer science and mathematics.


Book Synopsis Advanced Statistics for the Behavioral Sciences by : Jonathon D. Brown

Download or read book Advanced Statistics for the Behavioral Sciences written by Jonathon D. Brown and published by Springer. This book was released on 2019-04-30 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the importance of computer-generated statistical analyses in behavioral science research, particularly those using the R software environment. Statistical methods are being increasingly developed and refined by computer scientists, with expertise in writing efficient and elegant computer code. Unfortunately, many researchers lack this programming background, leaving them to accept on faith the black-box output that emerges from the sophisticated statistical models they frequently use. Building on the author’s previous volume, Linear Models in Matrix Form, this text bridges the gap between computer science and research application, providing easy-to-follow computer code for many statistical analyses using the R software environment. The text opens with a foundational section on linear algebra, then covers a variety of advanced topics, including robust regression, model selection based on bias and efficiency, nonlinear models and optimization routines, generalized linear models, and survival and time-series analysis. Each section concludes with a presentation of the computer code used to illuminate the analysis, as well as pointers to packages in R that can be used for similar analyses and nonstandard cases. The accessible code and breadth of topics make this book an ideal tool for graduate students or researchers in the behavioral sciences who are interested in performing advanced statistical analyses without having a sophisticated background in computer science and mathematics.


Numerical Methods

Numerical Methods

Author: Anne Greenbaum

Publisher: Princeton University Press

Published: 2012-04-01

Total Pages: 471

ISBN-13: 1400842670

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A rigorous and comprehensive introduction to numerical analysis Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results. The book gives instructors the flexibility to emphasize different aspects—design, analysis, or computer implementation—of numerical algorithms, depending on the background and interests of students. Designed for upper-division undergraduates in mathematics or computer science classes, the textbook assumes that students have prior knowledge of linear algebra and calculus, although these topics are reviewed in the text. Short discussions of the history of numerical methods are interspersed throughout the chapters. The book also includes polynomial interpolation at Chebyshev points, use of the MATLAB package Chebfun, and a section on the fast Fourier transform. Supplementary materials are available online. Clear and concise exposition of standard numerical analysis topics Explores nontraditional topics, such as mathematical modeling and Monte Carlo methods Covers modern applications, including information retrieval and animation, and classical applications from physics and engineering Promotes understanding of computational results through MATLAB exercises Provides flexibility so instructors can emphasize mathematical or applied/computational aspects of numerical methods or a combination Includes recent results on polynomial interpolation at Chebyshev points and use of the MATLAB package Chebfun Short discussions of the history of numerical methods interspersed throughout Supplementary materials available online


Book Synopsis Numerical Methods by : Anne Greenbaum

Download or read book Numerical Methods written by Anne Greenbaum and published by Princeton University Press. This book was released on 2012-04-01 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous and comprehensive introduction to numerical analysis Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results. The book gives instructors the flexibility to emphasize different aspects—design, analysis, or computer implementation—of numerical algorithms, depending on the background and interests of students. Designed for upper-division undergraduates in mathematics or computer science classes, the textbook assumes that students have prior knowledge of linear algebra and calculus, although these topics are reviewed in the text. Short discussions of the history of numerical methods are interspersed throughout the chapters. The book also includes polynomial interpolation at Chebyshev points, use of the MATLAB package Chebfun, and a section on the fast Fourier transform. Supplementary materials are available online. Clear and concise exposition of standard numerical analysis topics Explores nontraditional topics, such as mathematical modeling and Monte Carlo methods Covers modern applications, including information retrieval and animation, and classical applications from physics and engineering Promotes understanding of computational results through MATLAB exercises Provides flexibility so instructors can emphasize mathematical or applied/computational aspects of numerical methods or a combination Includes recent results on polynomial interpolation at Chebyshev points and use of the MATLAB package Chebfun Short discussions of the history of numerical methods interspersed throughout Supplementary materials available online


Computer Science

Computer Science

Author: Robert Sedgewick

Publisher: Addison-Wesley Professional

Published: 2016-06-17

Total Pages: 2171

ISBN-13: 0134076451

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Named a Notable Book in the 21st Annual Best of Computing list by the ACM! Robert Sedgewick and Kevin Wayne’s Computer Science: An Interdisciplinary Approach is the ideal modern introduction to computer science with Java programming for both students and professionals. Taking a broad, applications-based approach, Sedgewick and Wayne teach through important examples from science, mathematics, engineering, finance, and commercial computing. The book demystifies computation, explains its intellectual underpinnings, and covers the essential elements of programming and computational problem solving in today’s environments. The authors begin by introducing basic programming elements such as variables, conditionals, loops, arrays, and I/O. Next, they turn to functions, introducing key modular programming concepts, including components and reuse. They present a modern introduction to object-oriented programming, covering current programming paradigms and approaches to data abstraction. Building on this foundation, Sedgewick and Wayne widen their focus to the broader discipline of computer science. They introduce classical sorting and searching algorithms, fundamental data structures and their application, and scientific techniques for assessing an implementation’s performance. Using abstract models, readers learn to answer basic questions about computation, gaining insight for practical application. Finally, the authors show how machine architecture links the theory of computing to real computers, and to the field’s history and evolution. For each concept, the authors present all the information readers need to build confidence, together with examples that solve intriguing problems. Each chapter contains question-and-answer sections, self-study drills, and challenging problems that demand creative solutions. Companion web site (introcs.cs.princeton.edu/java) contains Extensive supplementary information, including suggested approaches to programming assignments, checklists, and FAQs Graphics and sound libraries Links to program code and test data Solutions to selected exercises Chapter summaries Detailed instructions for installing a Java programming environment Detailed problem sets and projects Companion 20-part series of video lectures is available at informit.com/title/9780134493831


Book Synopsis Computer Science by : Robert Sedgewick

Download or read book Computer Science written by Robert Sedgewick and published by Addison-Wesley Professional. This book was released on 2016-06-17 with total page 2171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Named a Notable Book in the 21st Annual Best of Computing list by the ACM! Robert Sedgewick and Kevin Wayne’s Computer Science: An Interdisciplinary Approach is the ideal modern introduction to computer science with Java programming for both students and professionals. Taking a broad, applications-based approach, Sedgewick and Wayne teach through important examples from science, mathematics, engineering, finance, and commercial computing. The book demystifies computation, explains its intellectual underpinnings, and covers the essential elements of programming and computational problem solving in today’s environments. The authors begin by introducing basic programming elements such as variables, conditionals, loops, arrays, and I/O. Next, they turn to functions, introducing key modular programming concepts, including components and reuse. They present a modern introduction to object-oriented programming, covering current programming paradigms and approaches to data abstraction. Building on this foundation, Sedgewick and Wayne widen their focus to the broader discipline of computer science. They introduce classical sorting and searching algorithms, fundamental data structures and their application, and scientific techniques for assessing an implementation’s performance. Using abstract models, readers learn to answer basic questions about computation, gaining insight for practical application. Finally, the authors show how machine architecture links the theory of computing to real computers, and to the field’s history and evolution. For each concept, the authors present all the information readers need to build confidence, together with examples that solve intriguing problems. Each chapter contains question-and-answer sections, self-study drills, and challenging problems that demand creative solutions. Companion web site (introcs.cs.princeton.edu/java) contains Extensive supplementary information, including suggested approaches to programming assignments, checklists, and FAQs Graphics and sound libraries Links to program code and test data Solutions to selected exercises Chapter summaries Detailed instructions for installing a Java programming environment Detailed problem sets and projects Companion 20-part series of video lectures is available at informit.com/title/9780134493831


The Essential Guide to the ACT Matrix

The Essential Guide to the ACT Matrix

Author: Kevin L. Polk

Publisher: New Harbinger Publications

Published: 2016-06-01

Total Pages: 272

ISBN-13: 1626253625

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The ACT Matrix revolutionized contextual behavioral science. Now, the creators of this pioneering new model present the first detailed, step-by-step guide to help professionals implement the ACT Matrix in clinical practice and improve clients’ psychological flexibility. If you’re a clinician, you know that acceptance and commitment therapy (ACT) is extremely effective in helping clients who are “stuck” in unhealthy thought patterns by encouraging them align their values with their thoughts and actions. However, the ACT model is complex, and it's not always easy to use. Enter the ACT Matrix, a seamless fusion of the six core processes of the ACT hexaflex—cognitive defusion, acceptance, contact with the present moment, observing the self, values, and committed action—into a simplified, easy-to-apply approach. From the editors of The ACT Matrix, The Essential Guide to the ACT Matrix offers professionals a comprehensive guide to using the innovative Matrix model in-session. With this book, you’ll learn how to help your clients break free from painful psychological traps and live more meaningful lives. You’ll also learn how client actions and behavior should be viewed as workable or unworkable, rather than good or bad. Most importantly, you'll discover how this unique approach can be used to deliver ACT more effectively in a variety of settings and contexts, even when clients are resistant or unmotivated to participate. This book is essential for any ACT clinician looking to simplify their therapeutic approach in client sessions.


Book Synopsis The Essential Guide to the ACT Matrix by : Kevin L. Polk

Download or read book The Essential Guide to the ACT Matrix written by Kevin L. Polk and published by New Harbinger Publications. This book was released on 2016-06-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ACT Matrix revolutionized contextual behavioral science. Now, the creators of this pioneering new model present the first detailed, step-by-step guide to help professionals implement the ACT Matrix in clinical practice and improve clients’ psychological flexibility. If you’re a clinician, you know that acceptance and commitment therapy (ACT) is extremely effective in helping clients who are “stuck” in unhealthy thought patterns by encouraging them align their values with their thoughts and actions. However, the ACT model is complex, and it's not always easy to use. Enter the ACT Matrix, a seamless fusion of the six core processes of the ACT hexaflex—cognitive defusion, acceptance, contact with the present moment, observing the self, values, and committed action—into a simplified, easy-to-apply approach. From the editors of The ACT Matrix, The Essential Guide to the ACT Matrix offers professionals a comprehensive guide to using the innovative Matrix model in-session. With this book, you’ll learn how to help your clients break free from painful psychological traps and live more meaningful lives. You’ll also learn how client actions and behavior should be viewed as workable or unworkable, rather than good or bad. Most importantly, you'll discover how this unique approach can be used to deliver ACT more effectively in a variety of settings and contexts, even when clients are resistant or unmotivated to participate. This book is essential for any ACT clinician looking to simplify their therapeutic approach in client sessions.


Abstract Algebra with Applications

Abstract Algebra with Applications

Author: Audrey Terras

Publisher: Cambridge University Press

Published: 2018-12-20

Total Pages: 331

ISBN-13: 1107164079

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This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world.


Book Synopsis Abstract Algebra with Applications by : Audrey Terras

Download or read book Abstract Algebra with Applications written by Audrey Terras and published by Cambridge University Press. This book was released on 2018-12-20 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world.


Applied Linear Algebra and Matrix Methods

Applied Linear Algebra and Matrix Methods

Author: Timothy G. Feeman

Publisher: Springer Nature

Published: 2023-11-24

Total Pages: 330

ISBN-13: 303139562X

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This textbook is designed for a first course in linear algebra for undergraduate students from a wide range of quantitative and data driven fields. By focusing on applications and implementation, students will be prepared to go on to apply the power of linear algebra in their own discipline. With an ever-increasing need to understand and solve real problems, this text aims to provide a growing and diverse group of students with an applied linear algebra toolkit they can use to successfully grapple with the complex world and the challenging problems that lie ahead. Applications such as least squares problems, information retrieval, linear regression, Markov processes, finding connections in networks, and more, are introduced on a small scale as early as possible and then explored in more generality as projects. Additionally, the book draws on the geometry of vectors and matrices as the basis for the mathematics, with the concept of orthogonality taking center stage. Important matrix factorizations as well as the concepts of eigenvalues and eigenvectors emerge organically from the interplay between matrix computations and geometry. The R files are extra and freely available. They include basic code and templates for many of the in-text examples, most of the projects, and solutions to selected exercises. As much as possible, data sets and matrix entries are included in the files, thus reducing the amount of manual data entry required.


Book Synopsis Applied Linear Algebra and Matrix Methods by : Timothy G. Feeman

Download or read book Applied Linear Algebra and Matrix Methods written by Timothy G. Feeman and published by Springer Nature. This book was released on 2023-11-24 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed for a first course in linear algebra for undergraduate students from a wide range of quantitative and data driven fields. By focusing on applications and implementation, students will be prepared to go on to apply the power of linear algebra in their own discipline. With an ever-increasing need to understand and solve real problems, this text aims to provide a growing and diverse group of students with an applied linear algebra toolkit they can use to successfully grapple with the complex world and the challenging problems that lie ahead. Applications such as least squares problems, information retrieval, linear regression, Markov processes, finding connections in networks, and more, are introduced on a small scale as early as possible and then explored in more generality as projects. Additionally, the book draws on the geometry of vectors and matrices as the basis for the mathematics, with the concept of orthogonality taking center stage. Important matrix factorizations as well as the concepts of eigenvalues and eigenvectors emerge organically from the interplay between matrix computations and geometry. The R files are extra and freely available. They include basic code and templates for many of the in-text examples, most of the projects, and solutions to selected exercises. As much as possible, data sets and matrix entries are included in the files, thus reducing the amount of manual data entry required.