When Life Is Linear

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When Life is Linear

Author : Tim Chartier
Publisher : The Mathematical Association of America
ISBN 13 : 0883856492
Total Pages : 151 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis When Life is Linear by : Tim Chartier

Download or read book When Life is Linear written by Tim Chartier and published by The Mathematical Association of America. This book was released on 2015-01-07 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Sheldon Axler
Publisher : Springer Science & Business Media
ISBN 13 : 9780387982595
Total Pages : 276 pages
Book Rating : 4.9/5 (825 download)

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Book Synopsis Linear Algebra Done Right by : Sheldon Axler

Download or read book Linear Algebra Done Right written by Sheldon Axler and published by Springer Science & Business Media. This book was released on 1997-07-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Rachel Armstrong
Publisher :
ISBN 13 : 9781950192182
Total Pages : 600 pages
Book Rating : 4.1/5 (921 download)

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Book Synopsis Liquid Life by : Rachel Armstrong

Download or read book Liquid Life written by Rachel Armstrong and published by . This book was released on 2019 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear Algebra As An Introduction To Abstract Mathematics

Author : Bruno Nachtergaele
Publisher : World Scientific Publishing Company
ISBN 13 : 9814723797
Total Pages : 209 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Linear Algebra As An Introduction To Abstract Mathematics by : Bruno Nachtergaele

Download or read book Linear Algebra As An Introduction To Abstract Mathematics written by Bruno Nachtergaele and published by World Scientific Publishing Company. This book was released on 2015-11-30 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Philip N. Klein
Publisher :
ISBN 13 : 9780615856735
Total Pages : 530 pages
Book Rating : 4.8/5 (567 download)

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Book Synopsis Coding the Matrix by : Philip N. Klein

Download or read book Coding the Matrix written by Philip N. Klein and published by . This book was released on 2013-07 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Non-Linear Mind

Author : James Rose
Publisher : Routledge
ISBN 13 : 0429921578
Total Pages : 234 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis The Non-Linear Mind by : James Rose

Download or read book The Non-Linear Mind written by James Rose and published by Routledge. This book was released on 2018-03-29 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with whether we can develop our understanding of the mind through the application of new approaches to the study of complex systems. It is divided into two sections. The first is concerned with the application of non-linear systems theory to the psychoanalytic study of the mind. The second is concerned with the technical application of the ideas of chaos theory to the understanding of therapeutic action and psychic change. It concludes with a consideration of the research and clinical implications of considering the mind as a non-linear system.

Art Matters

Author : Neil Gaiman
Publisher :
ISBN 13 : 9781472260109
Total Pages : 0 pages
Book Rating : 4.2/5 (61 download)

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Book Synopsis Art Matters by : Neil Gaiman

Download or read book Art Matters written by Neil Gaiman and published by . This book was released on 2021-09-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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'

Linear Algebra Through Geometry

Author : Thomas Banchoff
Publisher : Springer Science & Business Media
ISBN 13 : 1461243904
Total Pages : 316 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Linear Algebra Through Geometry by : Thomas Banchoff

Download or read book Linear Algebra Through Geometry written by Thomas Banchoff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space.

Lectures on Linear Algebra

Author : I. M. Gelfand
Publisher : Courier Corporation
ISBN 13 : 9780486660820
Total Pages : 212 pages
Book Rating : 4.6/5 (68 download)

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Book Synopsis Lectures on Linear Algebra by : I. M. Gelfand

Download or read book Lectures on Linear Algebra written by I. M. Gelfand and published by Courier Corporation. This book was released on 1989-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Linear Algebra

Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 1461210704
Total Pages : 300 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Introduction to Linear Algebra by : Serge Lang

Download or read book Introduction to Linear Algebra written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual.

Theory of Linear Operations

Author : S. Banach
Publisher : Elsevier
ISBN 13 : 0080887201
Total Pages : 249 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Theory of Linear Operations by : S. Banach

Download or read book Theory of Linear Operations written by S. Banach and published by Elsevier. This book was released on 1987-03-01 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Path Is Not Always Linear

Author :
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781542442930
Total Pages : 130 pages
Book Rating : 4.4/5 (429 download)

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Book Synopsis The Path Is Not Always Linear by :

Download or read book The Path Is Not Always Linear written by and published by Createspace Independent Publishing Platform. This book was released on 2017-05-23 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Applied Linear Algebra

Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

What is Mathematics?

Author : Richard Courant
Publisher :
ISBN 13 : 9780195105193
Total Pages : 596 pages
Book Rating : 4.1/5 (51 download)

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Book Synopsis What is Mathematics? by : Richard Courant

Download or read book What is Mathematics? written by Richard Courant and published by . This book was released on 1996 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.

Linear Algebra: Gateway to Mathematics: Second Edition

Author : Robert Messer
Publisher : American Mathematical Soc.
ISBN 13 : 1470462958
Total Pages : 420 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear Algebra: Gateway to Mathematics: Second Edition by : Robert Messer

Download or read book Linear Algebra: Gateway to Mathematics: Second Edition written by Robert Messer and published by American Mathematical Soc.. This book was released on 2021-07-12 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Algebra: Gateway to Mathematics uses linear algebra as a vehicle to introduce students to the inner workings of mathematics. The structures and techniques of mathematics in turn provide an accessible framework to illustrate the powerful and beautiful results about vector spaces and linear transformations. The unifying concepts of linear algebra reveal the analogies among three primary examples: Euclidean spaces, function spaces, and collections of matrices. Students are gently introduced to abstractions of higher mathematics through discussions of the logical structure of proofs, the need to translate terminology into notation, and efficient ways to discover and present proofs. Application of linear algebra and concrete examples tie the abstract concepts to familiar objects from algebra, geometry, calculus, and everyday life. Students will finish a course using this text with an understanding of the basic results of linear algebra and an appreciation of the beauty and utility of mathematics. They will also be fortified with a degree of mathematical maturity required for subsequent courses in abstract algebra, real analysis, and elementary topology. Students who have prior background in dealing with the mechanical operations of vectors and matrices will benefit from seeing this material placed in a more general context.

Introduction to Linear Algebra and Differential Equations

Author : John W. Dettman
Publisher : Courier Corporation
ISBN 13 : 0486158314
Total Pages : 442 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Linear Algebra and Differential Equations by : John W. Dettman

Download or read book Introduction to Linear Algebra and Differential Equations written by John W. Dettman and published by Courier Corporation. This book was released on 2012-10-05 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

No Bullshit Guide to Linear Algebra

Author : Ivan Savov
Publisher :
ISBN 13 : 9780992001025
Total Pages : 596 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis No Bullshit Guide to Linear Algebra by : Ivan Savov

Download or read book No Bullshit Guide to Linear Algebra written by Ivan Savov and published by . This book was released on 2020-10-25 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers the material for an undergraduate linear algebra course: vectors, matrices, linear transformations, computational techniques, geometric constructions, and theoretical foundations. The explanations are given in an informal conversational tone. The book also contains 100+ problems and exercises with answers and solutions. A special feature of this textbook is the prerequisites chapter that covers topics from high school math, which are necessary for learning linear algebra. The presence of this chapter makes the book suitable for beginners and the general audience-readers need not be math experts to read this book. Another unique aspect of the book are the applications chapters (Ch 7, 8, and 9) that discuss applications of linear algebra to engineering, computer science, economics, chemistry, machine learning, and even quantum mechanics.