Introduction to Linear Algebra

Author: Serge Lang

Publisher: Springer Science & Business Media

ISBN: 1461210704

Category: Mathematics

Page: 293

View: 9634

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.
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Introduction to Linear Algebra

Author: Lee W. Johnson,Ronald Dean Riess,Jimmy Thomas Arnold

Publisher: Pearson Educacion

ISBN: 9780321190437

Category: Algebras, Linear

Page: 624

View: 4196

This widely used text offers a consistent level of difficulty and an early and careful introduction to Eigenvalues, a topic that students often struggle with.
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Introduction to Linear Algebra

Author: Gilbert Strang

Publisher: Wellesley-Cambridge Press

ISBN: 9780980232776

Category: Mathematics

Page: 600

View: 1491

Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions while at the same time seeing numerous minor improvements and major additions. The latter include: • A new chapter on singular values and singular vectors, including ways to analyze a matrix of data • A revised chapter on computing in linear algebra, with professional-level algorithms and code that can be downloaded for a variety of languages • A new section on linear algebra and cryptography • A new chapter on linear algebra in probability and statistics. A dedicated and active website also offers solutions to exercises as well as new exercises from many different sources (e.g. practice problems, exams, development of textbook examples), plus codes in MATLAB, Julia, and Python.
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An Introduction to Linear Algebra

Author: Ravi P. Agarwal,Elena Cristina Flaut

Publisher: CRC Press

ISBN: 1351804294

Category: Mathematics

Page: 232

View: 1222

The techniques of linear algebra are used extensively across the applied sciences, and in many different areas of algebra such as group theory, module theory, representation theory, ring theory, and Galois theory. Written by experienced researchers with a decades of teaching experience, Introduction to Linear Algebra is a clear and rigorous introductory text on this key topic for students of both applied sciences and pure mathematics.
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An Introduction to Linear Algebra

Author: L. Mirsky

Publisher: Courier Corporation

ISBN: 0486166449

Category: Mathematics

Page: 464

View: 7384

Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter.
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Linear Algebra and Its Applications

Author: Gilbert Strang

Publisher: N.A

ISBN: 9780534422004

Category: Algebras, Linear

Page: 487

View: 4199

Renowned professor and author Gilbert Strang demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. While the mathematics is there, the effort is not all concentrated on proofs. Strang's emphasis is on understanding. He explains concepts, rather than deduces. This book is written in an informal and personal style and teaches real mathematics. The gears change in Chapter 2 as students reach the introduction of vector spaces. Throughout the book, the theory is motivated and reinforced by genuine applications, allowing pure mathematicians to teach applied mathematics.
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Linear Algebra and Its Applications

Author: David C. Lay,Steven R. Lay,Judi J. McDonald

Publisher: Pearson

ISBN: 0134013476

Category: Education

Page: 576

View: 1742

NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, and registrations are not transferable. To register for and use Pearson's MyLab & Mastering products, you may also need a Course ID, which your instructor will provide. Used books, rentals, and purchases made outside of Pearson If purchasing or renting from companies other than Pearson, the access codes for Pearson's MyLab & Mastering products may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase. Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for: 9780134022697 / 0134022696 Linear Algebra and Its Applications plus New MyMathLab with Pearson eText -- Access Card Package, 5/e With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood and require time to assimilate. These concepts are fundamental to the study of linear algebra, so students' understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand.
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Elementary Linear Algebra

Author: Stephen Andrilli,David Hecker

Publisher: Academic Press

ISBN: 0128010479

Category: Mathematics

Page: 806

View: 2908

Elementary Linear Algebra, 5th edition, by Stephen Andrilli and David Hecker, is a textbook for a beginning course in linear algebra for sophomore or junior mathematics majors. This text provides a solid introduction to both the computational and theoretical aspects of linear algebra. The textbook covers many important real-world applications of linear algebra, including graph theory, circuit theory, Markov chains, elementary coding theory, least-squares polynomials and least-squares solutions for inconsistent systems, differential equations, computer graphics and quadratic forms. Also, many computational techniques in linear algebra are presented, including iterative methods for solving linear systems, LDU Decomposition, the Power Method for finding eigenvalues, QR Decomposition, and Singular Value Decomposition and its usefulness in digital imaging. The most unique feature of the text is that students are nurtured in the art of creating mathematical proofs using linear algebra as the underlying context. The text contains a large number of worked out examples, as well as more than 970 exercises (with over 2600 total questions) to give students practice in both the computational aspects of the course and in developing their proof-writing abilities. Every section of the text ends with a series of true/false questions carefully designed to test the students’ understanding of the material. In addition, each of the first seven chapters concludes with a thorough set of review exercises and additional true/false questions. Supplements to the text include an Instructor’s Manual with answers to all of the exercises in the text, and a Student Solutions Manual with detailed answers to the starred exercises in the text. Finally, there are seven additional web sections available on the book’s website to instructors who adopt the text. Builds a foundation for math majors in reading and writing elementary mathematical proofs as part of their intellectual/professional development to assist in later math courses Presents each chapter as a self-contained and thoroughly explained modular unit. Provides clearly written and concisely explained ancillary materials, including four appendices expanding on the core concepts of elementary linear algebra Prepares students for future math courses by focusing on the conceptual and practical basics of proofs
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Analysis with an Introduction to Proof

Author: Steven R. Lay

Publisher: Pearson

ISBN: 0321998146

Category:

Page: 400

View: 9826

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. For courses in undergraduate Analysis and Transition to Advanced Mathematics. Analysis with an Introduction to Proof, Fifth Edition helps fill in the groundwork students need to succeed in real analysis—often considered the most difficult course in the undergraduate curriculum. By introducing logic and emphasizing the structure and nature of the arguments used, this text helps students move carefully from computationally oriented courses to abstract mathematics with its emphasis on proofs. Clear expositions and examples, helpful practice problems, numerous drawings, and selected hints/answers make this text readable, student-oriented, and teacher- friendly.
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Essays in Linear Algebra

Author: Gilbert Strang

Publisher: Wellesley-Cambridge Press

ISBN: 9780980232769

Category: Mathematics

Page: 340

View: 8840

The renowned mathematician and educator Gilbert Strang presents a collection of expository papers on the theory and applications of linear algebra, accompanied by video lectures on http://ocw.mit.edu. The essays are diverse in scope and range from purely theoretical studies on deep fundamental principles of matrix algebra to discussions on the teaching of calculus and an examination of the mathematical foundations of aspects of computational engineering. One thing these essays have in common is the way that they express both the importance and the beauty of the subject, as well as the author's passion for mathematics. This text will be of practical use to students and researchers across a whole spectrum of numerate disciplines. Furthermore, this collection provides a unique perspective on mathematics and the communication thereof as a human endeavour, complemented as these essays are by commentary from the author regarding their provenance and the reaction to them.
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Calculus

Author: Gilbert Strang

Publisher: SIAM

ISBN: 9780961408824

Category: Mathematics

Page: 614

View: 3143

contient des exercices.
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Introduction to Applied Mathematics

Author: Gilbert Strang

Publisher: Wellesley-Cambridge Press

ISBN: 9780961408800

Category: Mathematics

Page: 760

View: 7302

Renowned applied mathematician Gilbert Strang teaches applied mathematics with the clear explanations, examples and insights of an experienced teacher. This book progresses steadily through a range of topics from symmetric linear systems to differential equations to least squares and Kalman filtering and optimization. It clearly demonstrates the power of matrix algebra in engineering problem solving. This is an ideal book (beloved by many readers) for a first course on applied mathematics and a reference for more advanced applied mathematicians. The only prerequisite is a basic course in linear algebra.
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Differential Equations and Linear Algebra

Author: Gilbert Strang

Publisher: Wellesley-Cambridge Press

ISBN: 9780980232790

Category: Mathematics

Page: 510

View: 9868

Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.
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Introduction to Forensic Psychology

Research and Application

Author: Curt R. Bartol,Anne M. Bartol

Publisher: SAGE Publications

ISBN: 1506387233

Category: Psychology

Page: 688

View: 2076

Written by authors with extensive experience in the field and in the classroom, Introduction to Forensic Psychology: Research and Application, Fifth Edition, by Curt R. Bartol and Anne M. Bartol, demonstrates how to analyze psychological knowledge and research findings and then apply these findings to the civil and criminal justice systems. Focusing on research-based forensic practice and practical application, this text uses real-life examples and case law discussions to define and explore forensic psychology. This text introduces you to emerging specializations within forensic psychology, including investigative psychology, family forensic psychology, and police and public safety psychology. You will develop a multicultural perspective with an ethnic and racial sensitivity, which is critical to the successful practice of forensic psychology. New to the Fifth Edition: Updated statistics, research, and case law, such as recent Aid in Dying legislation, as well as analysis of recent events, help you see the real-world applications to current events. Updated Focus boxes empower you to dig deeper into current issues, such as mental health courts, community-oriented policing, child abduction, hate crimes, the death penalty, and more. All Focus boxes also contain discussion questions for you to debate in a classroom setting. All new From My Perspective boxes provide you with information about career choices as well as helpful advice about pursuing your career goals. Increased attention to immigration-related issues offers you additional insights into immigration proceedings and ways to consult with the courts. Additional coverage of human trafficking and online sexual predators enables you to better understand the psychological effects on victims and the services available to help. Current research on violent video games, cyberbullying, and cyberstalking provides real examples of the effects of violent media. New research on juveniles allows you to see the important contributions of neuropsychologists, particularly in terms of brain development in adolescents and promising community-based treatment approaches for juveniles.
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Introduction to Econometrics

Author: Christopher Dougherty

Publisher: Oxford University Press

ISBN: 0199567085

Category: Business & Economics

Page: 573

View: 336

Taking a modern approach to the subject, this text provides students with a solid grounding in econometrics, using non-technical language wherever possible.
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Linear Algebra: A Modern Introduction

Author: David Poole

Publisher: Cengage Learning

ISBN: 1285982835

Category: Mathematics

Page: 720

View: 5884

David Poole's innovative LINEAR ALGEBRA: A MODERN INTRODUCTION, 4e emphasizes a vectors approach and better prepares students to make the transition from computational to theoretical mathematics. Balancing theory and applications, the book is written in a conversational style and combines a traditional presentation with a focus on student-centered learning. Theoretical, computational, and applied topics are presented in a flexible yet integrated way. Stressing geometric understanding before computational techniques, vectors and vector geometry are introduced early to help students visualize concepts and develop mathematical maturity for abstract thinking. Additionally, the book includes ample applications drawn from a variety of disciplines, which reinforce the fact that linear algebra is a valuable tool for modeling real-life problems. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Schaum's Outline of Theory and Problems of Linear Algebra

Author: Seymour Lipschutz,Marc Lipson

Publisher: Erlangga

ISBN: 9789797815714

Category: Mathematics

Page: 424

View: 6712

• This third edition of the successful outline in linear algebra—which sold more than 400,000 copies in its past two editions—has been thoroughly updated to increase its applicability to the fields in which linear algebra is now essential: computer science, engineering, mathematics, physics, and quantitative analysis• Revised coverage includes new problems relevant to computer science and a revised chapter on linear equations• More than 100,000 students enroll in beginning and advanced Linear Algebra courses each year. This outline is appropriate for both first- and second-level linear algebra courses
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Linear Algebra Done Right

Author: Sheldon Axler

Publisher: Springer

ISBN: 3319110802

Category: Mathematics

Page: 340

View: 5566

This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.
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Practical Linear Algebra

A Geometry Toolbox, Third Edition

Author: Gerald Farin,Dianne Hansford

Publisher: CRC Press

ISBN: 1498759777

Category: Computers

Page: 514

View: 2238

Through many examples and real-world applications, Practical Linear Algebra: A Geometry Toolbox, Third Edition teaches undergraduate-level linear algebra in a comprehensive, geometric, and algorithmic way. Designed for a one-semester linear algebra course at the undergraduate level, the book gives instructors the option of tailoring the course for the primary interests: math, engineering, science, computer graphics, and geometric modeling. New to the Third Edition More exercises and applications Coverage of singular value decomposition and its application to the pseudoinverse, principal components analysis, and image compression More attention to eigen-analysis, including eigenfunctions and the Google matrix Greater emphasis on orthogonal projections and matrix decompositions, which are tied to repeated themes such as the concept of least squares To help students better visualize and understand the material, the authors introduce the fundamental concepts of linear algebra first in a two-dimensional setting and then revisit these concepts and others in a three-dimensional setting. They also discuss higher dimensions in various real-life applications. Triangles, polygons, conics, and curves are introduced as central applications of linear algebra. Instead of using the standard theorem-proof approach, the text presents many examples and instructional illustrations to help students develop a robust, intuitive understanding of the underlying concepts. The authors’ website also offers the illustrations for download and includes Mathematica® code and other ancillary materials.
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