Practical Linear Algebra for Data Science by Mike X. CohenIf you want to work in any computational or technical field, you need to understand linear algebra. As the study of matrices and operations acting upon them, linear algebra is the mathematical basis of nearly all algorithms and analyses implemented in computers. But the way it's presented in decades-old textbooks is much different from how professionals use linear algebra today to solve real-world modern applications. This practical guide from Mike X Cohen teaches the core concepts of linear algebra as implemented in Python, including how they're used in data science, machine learning, deep learning, computational simulations, and biomedical data processing applications. Armed with knowledge from this book, you'll be able to understand, implement, and adapt myriad modern analysis methods and algorithms. Ideal for practitioners and students using computer technology and algorithms, this book introduces you to: The interpretations and applications of vectors and matrices Matrix arithmetic (various multiplications and transformations) Independence, rank, and inverses Important decompositions used in applied linear algebra (including LU and QR) Eigendecomposition and singular value decomposition Applications including least-squares model fitting and principal components analysis
Call Number: QA185.D37 C64 2022
A Bridge to Linear Algebra by Dragu Atanasiu (Translator); Piotr Mikusinski (Translator)The book makes a first course in linear algebra more accessible to the majority of students and it assumes no prior knowledge of the subject. It provides a careful presentation of particular cases of all core topics. Students will find that the explanations are clear and detailed in manner. It is considered as a bridge over the obstacles in linear algebra and can be used with or without the help of an instructor.While many linear algebra texts neglect geometry, this book includes numerous geometrical applications. For example, the book presents classical analytic geometry using concepts and methods from linear algebra, discusses rotations from a geometric viewpoint, gives a rigorous interpretation of the right-hand rule for the cross product using rotations and applies linear algebra to solve some nontrivial plane geometry problems.Many students studying mathematics, physics, engineering and economics find learning introductory linear algebra difficult as it has high elements of abstraction that are not easy to grasp. This book will come in handy to facilitate the understanding of linear algebra whereby it gives a comprehensive, concrete treatment of linear algebra in R and R3. This method has been shown to improve, sometimes dramatically, a student's view of the subject.
Call Number: QA184.2 .A83 2019
Linear Algebra by Seymour Lipschutz; Marc LipsonTough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there's Schaum's. This all-in-one-package includes 612 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 25 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you 612 fully solved problems Concise explanations of all course concepts Support for all major textbooks for linear algebra courses Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores!
Call Number: QA184.2 .L53 2013
Elementary Linear Algebra by Ron Larson; David C. FalvoThe cornerstone of ELEMENTARY LINEAR ALGEBRA is the authors' clear, careful, and concise presentation of material--written so that readers can fully understand how mathematics works. This program balances theory with examples, applications, and geometric intuition for a complete, step-by-step learning system. Featuring a new design that highlights the relevance of the mathematics and improves readability, the Seventh Edition also incorporates new conceptual Capstone exercises that reinforce multiple concepts in each section. Data and applications reflect current statistics and examples to engage users and demonstrate the link between theory and practice.
Call Number: QA184.2 .L378 2013
A Concise Introduction to Linear Algebra by Géza SchayBuilding on the author's previousnbsp;edition on the subject (Introduction to Linearnbsp;Algebra, Jones & Bartlett, 1996),nbsp;this book offers anbsp;refreshingly concise textnbsp;suitable for a standard course in linear algebra,nbsp;presenting anbsp;carefully selectednbsp;array ofnbsp;essentialnbsp;topics that can be thoroughly covered in a single semester.nbsp;Although thenbsp;exposition generally falls in line with thenbsp;material recommended bynbsp;the Linear Algebra Curriculum Study Group,nbsp;itnbsp;notably deviatesnbsp;innbsp;providing annbsp;early emphasis on the geometricnbsp;foundations of linear algebra. This gives students a more intuitive understanding of the subject and enables annbsp;easier grasp of more abstract concepts covered later in the course. The focus throughout is rooted in the mathematical fundamentals,nbsp;but the text alsonbsp;investigates a number of interesting applications, including a section on computernbsp;graphics,nbsp;a chapter on numerical methods, and many exercises and examples using MATLAB. Meanwhile, manynbsp;visuals and problems (a complete solutions manual is available to instructors) are included to enhance and reinforce understanding throughout the book. Brief yet precise and rigorous,nbsp;thisnbsp;work is an ideal choice fornbsp;a one-semester course in linear algebra targeted primarily at math or physics majors.nbsp;It is a valuablenbsp;tool for any professor who teaches the subject.
Call Number: QA184.2 .S33 2012
The Manga Guide to Linear Algebra by Shin Takahashi; Iroha Inoue; Trend-Pro Co., Ltd StaffReiji wants two things in life: a black belt in karate and Misa, the girl of his dreams. Luckily, Misa's big brother is the captain of the university karate club and is ready to strike a deal: Reiji can join the club if he tutors Misa in linear algebra. Follow along in The Manga Guide to Linear Algebra as Reiji takes Misa from the absolute basics of this tricky subject through mind-bending operations like performing linear transformations, calculating determinants, and finding eigenvectors and eigenvalues. With memorable examples like miniature golf games and karate tournaments, Reiji transforms abstract concepts into something concrete, understandable, and even fun. As you follow Misa through her linear algebra crash course, you'll learn about: Basic vector and matrix operations such as addition, subtraction, and multiplication Linear dependence, independence, and bases Using Gaussian elimination to calculate inverse matrices Subspaces, dimension, and linear span Practical appli
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Linear Algebra by L. Shen; Haohao Wang; J. WojdyloThe aim of this book is two-fold: to introduce the fundamental concepts of linear algebra and to apply the theorems in computation-oriented applications. The book is suitable for a one semester coursein linear algebra that can be used in a variety of contexts. The presentationof the material combines definitions and proofs with an emphasis oncomputational applications, providing examples that illustrate the use ofsoftware packages such as Mathematica®,Maple®, and Sage. Features: - Introduces the fundamental concepts of linear algebra and applies the theorems in computation-oriented applications - Presents a brief introduction of some aspects of abstract algebra that relate directly to linear algebra, such as groups, rings, modules, fields and polynomials over fields.
Publication Date: 2019
Linear Algebra by Arak M. Mathai; Hans J. HauboldIn order not to intimidate students by a too abstract approach, this textbook on linear algebra is written to be easy to digest by non-mathematicians. It introduces the concepts of vector spaces and mappings between them without dwelling on statements such as theorems and proofs too much. It is also designed to be self-contained, so no other material is required for an understanding of the topics covered. As the basis for courses on space and atmospheric science, remote sensing, geographic information systems, meteorology, climate and satellite communications at UN-affiliated regional centers, various applications of the formal theory are discussed as well. These include differential equations, statistics, optimization and some engineering-motivated problems in physics. Contents Vectors Matrices Determinants Eigenvalues and eigenvectors Some applications of matrices and determinants Matrix series and additional properties of matrices
Publication Date: 2017
The Linear Algebra Survival Guide by Fred SzaboThe Linear Algebra Survival Guide offers a concise introduction to the difficult core topics of linear algebra, guiding you through the powerful graphic displays and visualization of Mathematica that make the most abstract theories seem simple - allowing you to tackle realistic problems using simple mathematical manipulations. This resource is therefore a guide to learning the content of Mathematica in a practical way, enabling you to manipulate potential solutions/outcomes, and learn creatively. No starting knowledge of the Mathematica system is required to use the book. Desktop, laptop, web-based versions of Mathematica are available on all major platforms. Mathematica Online for tablet and smartphone systems are also under development and increases the reach of the guide as a general reference, teaching and learning tool.
Publication Date: 2015
Linear Algebra by Juan Jorge SchäfferIn the spirit of the author's Basic Language of Mathematics, this companion volume is a careful exposition of the concepts and processes of Linear Algebra. It stresses cautious and clear explanations, avoiding reliance on co-ordinates as much as possible, and with special, but not exclusive, attention to the finite-dimensional situation. It is intended to also serve as a conceptual and technical background for use in geometry and analysis as well as other applications.
Publication Date: 2014
Linear Algebra by Kuldeep SinghLinear algebra is a fundamental area of mathematics, and is arguably the most powerful mathematical tool ever developed. It is a core topic of study within fields as diverse as: business, economics, engineering, physics, computer science, ecology, sociology, demography and genetics. For an example of linear algebra at work, one needs to look no further than the Google search engine, which relies upon linear algebra to rank the results of a search with respect to relevance. The strength of the text is in the large number of examples and the step-by-step explanation of each topic as it is introduced. It is compiled in a way that allows distance learning, with explicit solutions to set problems freely available online. The miscellaneous exercises at the end of each chapter comprise questions from past exam papers from various universities, helping to reinforce the reader's confidence. Also included, generally at the beginning of sections, are short historical biographies of the leading players in the field of linear algebra to provide context for the topics covered. The dynamic and engaging style of the book includes frequent question and answer sections to test the reader's understanding of the methods introduced, rather than requiring rote learning. When first encountered, the subject can appear abstract and students will sometimes struggle to see its relevance; to counter this, the book also contains interviews with key people who use linear algebra in practice, in both professional and academic life. It will appeal to undergraduate students in mathematics, the physical sciences and engineering.