When Life is Linear
When Life is Linear

Author: Tim Chartier

Publisher: The Mathematical Association of America

Published: 2015-01-07

Total Pages: 151

ISBN-13: 0883856492

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From simulating complex phenomenon on supercomputers to storing the coordinates needed in modern 3D printing, data is a huge and growing part of our world. A major tool to manipulate and study this data is linear algebra. When Life is Linear introduces concepts of matrix algebra with an emphasis on application, particularly in the fields of computer graphics and data mining. Readers will learn to make an image transparent, compress an image and rotate a 3D wireframe model. In data mining, readers will use linear algebra to read zip codes on envelopes and encrypt sensitive information. Chartier details methods behind web search, utilized by such companies as Google, and algorithms for sports ranking which have been applied to creating brackets for March Madness and predict outcomes in FIFA World Cup soccer. The book can serve as its own resource or to supplement a course on linear algebra.

Linear Algebra Done Right
Linear Algebra Done Right

Author: Sheldon Axler

Publisher: Springer Science & Business Media

Published: 1997-07-18

Total Pages: 276

ISBN-13: 9780387982595

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This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.

Liquid Life
Liquid Life

Author: Rachel Armstrong

Publisher:

Published: 2019

Total Pages: 600

ISBN-13: 9781950192182

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If we lived in a liquid world, the concept of a "machine" would make no sense. Liquid life is metaphor and apparatus that discusses the consequences of thinking, working, and living through liquids. It is an irreducible, paradoxical, parallel, planetary-scale material condition, unevenly distributed spatially, but temporally continuous. It is what remains when logical explanations can no longer account for the experiences that we recognize as part of "being alive."Liquid Life references a third-millennial understanding of matter that seeks to restore the agency of the liquid soul for an ecological era, which has been banished by reductionist, "brute" materialist discourses and mechanical models of life. Offering an alternative worldview of the living realm through a "new materialist" and "liquid" study of matter, Armstrong conjures forth examples of creatures that do not obey mechanistic concepts like predictability, efficiency, and rationality. With the advent of molecular science, an increasingly persuasive ontology of liquid technologies can be identified. Through the lens of lifelike dynamic droplets, the agency for these systems exists at the interfaces between different fields of matter/energy that respond to highly local effects, with no need for a central organizing system.Liquid Life seeks an alternative partnership between humanity and the natural world. It provokes a re-invention of the languages of the living realm to open up alternative spaces for exploration, including contributor Rolf Hughes' "angelology" of language, which explores the transformative invocations of prose poetry, and Simone Ferracina's graphical notations that help shape our concepts of metabolism, upcycling, and designing with fluids. A conceptual and practical toolset for thinking and designing, liquid life reunites us with the irreducible "soul substance" of living things, which will neither be simply "solved," nor go away.

Calculus
Calculus

Author: Gilbert Strang

Publisher:

Published: 2016-03-07

Total Pages: 824

ISBN-13: 9781938168062

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"Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

Linear Algebra As An Introduction To Abstract Mathematics
Linear Algebra As An Introduction To Abstract Mathematics

Author: Bruno Nachtergaele

Publisher: World Scientific Publishing Company

Published: 2015-11-30

Total Pages: 209

ISBN-13: 9814723797

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This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented classes. The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem. Each chapter concludes with both proof-writing and computational exercises.

Coding the Matrix
Coding the Matrix

Author: Philip N. Klein

Publisher:

Published: 2013-07

Total Pages: 530

ISBN-13: 9780615856735

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An engaging introduction to vectors and matrices and the algorithms that operate on them, intended for the student who knows how to program. Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by "doing," writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site, codingthematrix.com provides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant "xkcd" comics. Chapters: "The Function," "The Field," "The Vector," "The Vector Space," "The Matrix," "The Basis," "Dimension," "Gaussian Elimination," "The Inner Product," "Special Bases," "The Singular Value Decomposition," "The Eigenvector," "The Linear Program" A new edition of this text, incorporating corrections and an expanded index, has been issued as of September 4, 2013, and will soon be available on Amazon.

Art Matters
Art Matters

Author: Neil Gaiman

Publisher:

Published: 2021-09-02

Total Pages: 0

ISBN-13: 9781472260109

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Seize the day in the name of art. This creative call to arms from the mind of Neil Gaiman combines his extraordinary words with deft and striking illustrations by Chris Riddell. 'Like a bedtime story for the rest of your life, this is a book to live by. At its core, it's about freeing ideas, shedding fear of failure, and learning that "things can be different" ' INSTITUTE OF IMAGINATION Be bold. Be rebellious. Choose art. It matters. Neil Gaiman once said that 'the world always seems brighter when you've just made something that wasn't there before'. This little book is the embodiment of that vision. Drawn together from speeches, poems and creative manifestos, Art Matters explores how reading, imagining and creating can change the world, and will be inspirational to young and old. THIS PAPERBACK EDITION INCLUDES BEAUTIFUL NEW ILLUSTRATIONS OF 'GOING WODWO'. What readers are saying about ART MATTERS 'A rallying cry for all artists and creators' 'Just the injection of positive thinking I needed' 'What a gorgeous, sweet and very, very wise little book' 'You don't know it yet, but it's likely you need this book' 'I feel artistically charged up for the first time in ages'

Lectures on Linear Algebra
Lectures on Linear Algebra

Author: I. M. Gelfand

Publisher: Courier Corporation

Published: 1989-01-01

Total Pages: 212

ISBN-13: 9780486660820

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Prominent Russian mathematician's concise, well-written exposition considers n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, and an introduction to tensors. While not designed as an introductory text, the book's well-chosen topics, brevity of presentation, and the author's reputation will recommend it to all students, teachers, and mathematicians working in this sector.

The Path Is Not Always Linear
The Path Is Not Always Linear

Author:

Publisher: Createspace Independent Publishing Platform

Published: 2017-05-23

Total Pages: 130

ISBN-13: 9781542442930

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The Path Is Not Always Linear is the perfect guide for undergraduate students contemplating their next steps forward. Authors Holly J. Schoenherr, PhD, and Richard S. Pollenz, PhD, have spent years conducting workshops on graduate education. Their new manual provides all the information you need to make an informed decision about your graduate-school plans. It uses personal vignettes to illustrate the admissions process and reveal the important questions you need to answer before you make this choice. Each chapter tackles an important issue in graduate admissions. These topics range from the types of graduate degrees available to ways of paying for your education. Schoenherr and Pollenz want you to be inspired by your decision but also warn you to look at graduate school with a clear understanding of your current finances and career prospects. With simple stories, planning exercises, and in-depth discussions, Schoenherr and Pollenz give you advice that covers a variety of important topics you should consider before starting graduate school. The format of their guide encourages you to take action and start preparing for your bright future, wherever your path may take you.

Theory of Linear Operations
Theory of Linear Operations

Author: S. Banach

Publisher: Elsevier

Published: 1987-03-01

Total Pages: 249

ISBN-13: 0080887201

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This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a1x1 + a2x2 + ... + anxn of algebra.The book gathers results concerning linear operators defined in general spaces of a certain kind, principally in Banach spaces, examples of which are: the space of continuous functions, that of the pth-power-summable functions, Hilbert space, etc. The general theorems are interpreted in various mathematical areas, such as group theory, differential equations, integral equations, equations with infinitely many unknowns, functions of a real variable, summation methods and orthogonal series.A new fifty-page section (``Some Aspects of the Present Theory of Banach Spaces'') complements this important monograph.