Mastering Linear Algebra PDF Download

Author: Francis Su
Publisher:
ISBN: 9781629977041
Category :
Languages : en
Pages :

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Author: Jason Brownlee
Publisher: Machine Learning Mastery
ISBN:
Category : Computers
Languages : en
Pages : 211

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Book Description
Linear algebra is a pillar of machine learning. You cannot develop a deep understanding and application of machine learning without it. In this laser-focused Ebook, you will finally cut through the equations, Greek letters, and confusion, and discover the topics in linear algebra that you need to know. Using clear explanations, standard Python libraries, and step-by-step tutorial lessons, you will discover what linear algebra is, the importance of linear algebra to machine learning, vector, and matrix operations, matrix factorization, principal component analysis, and much more.

Author: Scott H. Young
Publisher: HarperCollins
ISBN: 0062852744
Category : Business & Economics
Languages : en
Pages : 278

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Now a Wall Street Journal bestseller. Learn a new talent, stay relevant, reinvent yourself, and adapt to whatever the workplace throws your way. Ultralearning offers nine principles to master hard skills quickly. This is the essential guide to future-proof your career and maximize your competitive advantage through self-education. In these tumultuous times of economic and technological change, staying ahead depends on continual self-education—a lifelong mastery of fresh ideas, subjects, and skills. If you want to accomplish more and stand apart from everyone else, you need to become an ultralearner. The challenge of learning new skills is that you think you already know how best to learn, as you did as a student, so you rerun old routines and old ways of solving problems. To counter that, Ultralearning offers powerful strategies to break you out of those mental ruts and introduces new training methods to help you push through to higher levels of retention. Scott H. Young incorporates the latest research about the most effective learning methods and the stories of other ultralearners like himself—among them Benjamin Franklin, chess grandmaster Judit Polgár, and Nobel laureate physicist Richard Feynman, as well as a host of others, such as little-known modern polymath Nigel Richards, who won the French World Scrabble Championship—without knowing French. Young documents the methods he and others have used to acquire knowledge and shows that, far from being an obscure skill limited to aggressive autodidacts, ultralearning is a powerful tool anyone can use to improve their career, studies, and life. Ultralearning explores this fascinating subculture, shares a proven framework for a successful ultralearning project, and offers insights into how you can organize and exe - cute a plan to learn anything deeply and quickly, without teachers or budget-busting tuition costs. Whether the goal is to be fluent in a language (or ten languages), earn the equivalent of a college degree in a fraction of the time, or master multiple tools to build a product or business from the ground up, the principles in Ultralearning will guide you to success.

Author: Michael Starbird
Publisher: American Mathematical Soc.
ISBN: 1470462613
Category : Education
Languages : en
Pages : 313

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Book Description
Topology Through Inquiry is a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat. The point-set material contains many interesting topics well beyond the basic core, including continua and metrizability. Geometric and algebraic topology topics include the classification of 2-manifolds, the fundamental group, covering spaces, and homology (simplicial and singular). A unique feature of the introduction to homology is to convey a clear geometric motivation by starting with mod 2 coefficients. The authors are acknowledged masters of IBL-style teaching. This book gives students joy-filled, manageable challenges that incrementally develop their knowledge and skills. The exposition includes insightful framing of fruitful points of view as well as advice on effective thinking and learning. The text presumes only a modest level of mathematical maturity to begin, but students who work their way through this text will grow from mathematics students into mathematicians. Michael Starbird is a University of Texas Distinguished Teaching Professor of Mathematics. Among his works are two other co-authored books in the Mathematical Association of America's (MAA) Textbook series. Francis Su is the Benediktsson-Karwa Professor of Mathematics at Harvey Mudd College and a past president of the MAA. Both authors are award-winning teachers, including each having received the MAA's Haimo Award for distinguished teaching. Starbird and Su are, jointly and individually, on lifelong missions to make learning—of mathematics and beyond—joyful, effective, and available to everyone. This book invites topology students and teachers to join in the adventure.

Author: Cybellium Ltd
Publisher: Cybellium Ltd
ISBN:
Category : Computers
Languages : en
Pages : 161

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Unlock the Language of Vectors and Matrices for Enhanced Problem Solving In the realm of mathematics and science, linear algebra stands as a powerful language that underlies numerous disciplines. "Mastering Linear Algebra" is your definitive guide to understanding and harnessing the potential of this essential mathematical framework, empowering you to solve complex problems with clarity and precision. About the Book: As mathematical concepts become more integral to various fields, a strong grasp of linear algebra becomes increasingly valuable. "Mastering Linear Algebra" offers a comprehensive exploration of this foundational subject—a cornerstone of mathematics and its applications. This book caters to both newcomers and experienced learners aiming to excel in linear algebra concepts, computations, and applications. Key Features: Linear Algebra Fundamentals: Begin by understanding the core principles of linear algebra. Learn about vectors, matrices, and linear transformations—the fundamental building blocks of the subject. Matrix Operations: Dive into matrix operations. Explore techniques for matrix addition, multiplication, inversion, and determinant computation. Vector Spaces: Grasp the art of vector spaces and subspaces. Understand how to define, visualize, and analyze vector spaces for various applications. Eigenvalues and Eigenvectors: Explore the significance of eigenvalues and eigenvectors. Learn how they enable the analysis of dynamic systems and transformations. Linear Systems: Understand how linear algebra solves systems of linear equations. Explore techniques for Gaussian elimination, LU decomposition, and matrix factorization. Applications in Science and Engineering: Delve into real-world applications of linear algebra. Discover how it's applied in physics, computer graphics, data analysis, and more. Inner Product Spaces: Grasp the concepts of inner product spaces and orthogonality. Explore applications in geometric interpretations and least-squares solutions. Singular Value Decomposition: Explore the power of singular value decomposition. Understand how it enables data compression, noise reduction, and dimensionality reduction. Why This Book Matters: In a world driven by data and technological advancement, mastering linear algebra offers a competitive edge. "Mastering Linear Algebra" empowers students, researchers, scientists, and technology enthusiasts to leverage this fundamental mathematical language, enabling them to analyze and solve problems across diverse fields. Unlock the Power of Mathematical Insight: In the landscape of mathematics and science, linear algebra is the key to understanding complex relationships and transformations. "Mastering Linear Algebra" equips you with the knowledge needed to leverage linear algebra concepts, enabling you to solve intricate problems with clarity and precision. Whether you're a seasoned learner or new to the world of linear algebra, this book will guide you in building a solid foundation for effective mathematical analysis and application. Your journey to mastering linear algebra starts here. © 2023 Cybellium Ltd. All rights reserved. www.cybellium.com

Author: Paul R. Halmos
Publisher: American Mathematical Soc.
ISBN: 1614442126
Category : Mathematics
Languages : en
Pages : 333

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Book Description
Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebraand today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students. The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.

Author: Francis Su
Publisher: Yale University Press
ISBN: 0300237138
Category : Mathematics
Languages : en
Pages : 287

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"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Author: Various Authors
Publisher:
ISBN: 9781471805790
Category : Algebra
Languages : en
Pages : 240

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Book Description
Deliver outstanding lessons that build fluency, problem-solving and mathematical reasoning skills to enable sustained progress at Key Stage 3, in preparation for GCSE. Mastering Mathematics provides flexible online and print teaching and learning resources. The service focuses on strands within the curriculum to improve progression throughout Secondary Mathematics. Mastering Mathematics Student Books and Whiteboard eTextbooks are organised into progression strands in line with Mastering Mathematics Teaching and Learning Resources: - Enable students to identify appropriate remediation or extension steps they need in order to progress, through easy to follow progression charts - Clear explanations of the tools needed for the chapter followed by questions that develop fluency, reasoning and problem-solving in order to ensure transferability of skills - Show band of difficulty for each chapter and links with other areas of maths throughout the books so students know how they are doing and what they need to learn next

Author: Stephen Andrilli
Publisher: Academic Press
ISBN: 0080886256
Category : Mathematics
Languages : en
Pages : 773

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Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study The authors give early, intensive attention to the skills necessary to make students comfortable with mathematical proofs. The text builds a gradual and smooth transition from computational results to general theory of abstract vector spaces. It also provides flexbile coverage of practical applications, exploring a comprehensive range of topics. Ancillary list:* Maple Algorithmic testing- Maple TA- www.maplesoft.com - Includes a wide variety of applications, technology tips and exercises, organized in chart format for easy reference - More than 310 numbered examples in the text at least one for each new concept or application - Exercise sets ordered by increasing difficulty, many with multiple parts for a total of more than 2135 questions - Provides an early introduction to eigenvalues/eigenvectors - A Student solutions manual, containing fully worked out solutions and instructors manual available

Author: Mary Jane Sterling
Publisher: John Wiley & Sons
ISBN: 0470538163
Category : Mathematics
Languages : en
Pages : 387

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Book Description
Learn to: Solve linear algebra equations in several ways Put data in order with matrices Determine values with determinants Work with eigenvalues and eigenvectors Your hands-on guide to real-world applications of linear algebra Does linear algebra leave you feeling lost? No worries this easy-to-follow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you'll understand the key concepts and see how they relate to everything from genetics to nutrition to spotted owl extinction. Line up the basics discover several different approaches to organizing numbers and equations, and solve systems of equations algebraically or with matrices Relate vectors and linear transformations link vectors and matrices with linear combinations and seek solutions of homogeneous systems Evaluate determinants see how to perform the determinant function on different sizes of matrices and take advantage of Cramer's rule Hone your skills with vector spaces determine the properties of vector spaces and their subspaces and see linear transformation in action Tackle eigenvalues and eigenvectors define and solve for eigenvalues and eigenvectors and understand how they interact with specific matrices Open the book and find: Theoretical and practical ways of solving linear algebra problems Definitions of terms throughout and in the glossary New ways of looking at operations How linear algebra ties together vectors, matrices, determinants, and linear transformations Ten common mathematical representations of Greek letters Real-world applications of matrices and determinants