A Concise Introduction To Linear Algebra

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A Concise Introduction to Linear Algebra

Author : Géza Schay
Publisher : Springer Science & Business Media
ISBN 13 : 0817683259
Total Pages : 338 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis A Concise Introduction to Linear Algebra by : Géza Schay

Download or read book A Concise Introduction to Linear Algebra written by Géza Schay and published by Springer Science & Business Media. This book was released on 2012-03-30 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the author's previous edition on the subject (Introduction to Linear Algebra, Jones & Bartlett, 1996), this book offers a refreshingly concise text suitable for a standard course in linear algebra, presenting a carefully selected array of essential topics that can be thoroughly covered in a single semester. Although the exposition generally falls in line with the material recommended by the Linear Algebra Curriculum Study Group, it notably deviates in providing an early emphasis on the geometric foundations of linear algebra. This gives students a more intuitive understanding of the subject and enables an easier grasp of more abstract concepts covered later in the course. The focus throughout is rooted in the mathematical fundamentals, but the text also investigates a number of interesting applications, including a section on computer graphics, a chapter on numerical methods, and many exercises and examples using MATLAB. Meanwhile, many 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, this work is an ideal choice for a one-semester course in linear algebra targeted primarily at math or physics majors. It is a valuable tool for any professor who teaches the subject.

Concise Introduction to Linear Algebra

Author : Qingwen Hu
Publisher : CRC Press
ISBN 13 : 1351697463
Total Pages : 220 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Concise Introduction to Linear Algebra by : Qingwen Hu

Download or read book Concise Introduction to Linear Algebra written by Qingwen Hu and published by CRC Press. This book was released on 2017-09-22 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise Introduction to Linear Algebra deals with the subject of linear algebra, covering vectors and linear systems, vector spaces, orthogonality, determinants, eigenvalues and eigenvectors, singular value decomposition. It adopts an efficient approach to lead students from vectors, matrices quickly into more advanced topics including, LU decomposition, orthogonal decomposition, Least squares solutions, Gram-Schmidt process, eigenvalues and eigenvectors, diagonalizability, spectral decomposition, positive definite matrix, quadratic forms, singular value decompositions and principal component analysis. This book is designed for onesemester teaching to undergraduate students.

Numerical Linear Algebra

Author : Folkmar Bornemann
Publisher : Springer
ISBN 13 : 3319742221
Total Pages : 153 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Numerical Linear Algebra by : Folkmar Bornemann

Download or read book Numerical Linear Algebra written by Folkmar Bornemann and published by Springer. This book was released on 2018-01-29 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the algorithmic-numerical thinking using basic problems of linear algebra. By focusing on linear algebra, it ensures a stronger thematic coherence than is otherwise found in introductory lectures on numerics. The book highlights the usefulness of matrix partitioning compared to a component view, leading not only to a clearer notation and shorter algorithms, but also to significant runtime gains in modern computer architectures. The algorithms and accompanying numerical examples are given in the programming environment MATLAB, and additionally – in an appendix – in the future-oriented, freely accessible programming language Julia. This book is suitable for a two-hour lecture on numerical linear algebra from the second semester of a bachelor's degree in mathematics.

A Concise Introduction to Linear Algebra

Author : Linsen Chou
Publisher :
ISBN 13 : 9781681171791
Total Pages : 0 pages
Book Rating : 4.1/5 (717 download)

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Book Synopsis A Concise Introduction to Linear Algebra by : Linsen Chou

Download or read book A Concise Introduction to Linear Algebra written by Linsen Chou and published by . This book was released on 2015-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra is the branch of mathematics regarding vector spaces and linear mappings between such spaces. It includes the study of lines, planes, and subspaces, but is also concerned with properties common to all vector spaces. Linear algebra is the study of linear sets of equations and their transformation properties. Linear algebra allows the analysis of rotations in space, least squares fitting, solution of coupled differential equations, determination of a circle passing through three given points, as well as many other problems in mathematics, physics, and engineering. The matrix and determinant are extremely useful tools of linear algebra. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences. Because linear algebra is such a well-developed theory, nonlinear mathematical models are sometimes approximated by linear models. Linear algebra is central to both pure and applied mathematics. Functional analysis studies the infinite-dimensional version of the theory of vector spaces. Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. This book, A Concise Introduction to Linear Algebra, covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering.

Linear Algebra

Author : Hugo J. Woerdeman
Publisher : CRC Press
ISBN 13 : 1000345874
Total Pages : 284 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Linear Algebra by : Hugo J. Woerdeman

Download or read book Linear Algebra written by Hugo J. Woerdeman and published by CRC Press. This book was released on 2021-03-04 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is good reason to be excited about Linear Algebra. With the world becoming increasingly digital, Linear Algebra is gaining more and more importance. When we send texts, share video, do internet searches, there are Linear Algebra algorithms in the background that make it work. This concise introduction to Linear Algebra is authored by a leading researcher presents a book that covers all the requisite material for a first course on the topic in a more practical way. The book focuses on the development of the mathematical theory and presents many applications to assist instructors and students to master the material and apply it to their areas of interest, whether it be to further their studies in mathematics, science, engineering, statistics, economics, or other disciplines. Linear Algebra has very appealing features: •It is a solid axiomatic based mathematical theory that is accessible to a large variety of students. •It has a multitude of applications from many different fields, ranging from traditional science and engineering applications to more ‘daily life’ applications. •It easily allows for numerical experimentation through the use of a variety of readily available software (both commercial and open source). Several suggestions of different software are made. While MATLAB is certainly still a favorite choice, open-source programs such as Sage (especially among algebraists) and the Python libraries are increasingly popular. This text guides the student to try out different programs by providing specific commands.

Linear Algebra and Linear Models

Author : Ravindra B. Bapat
Publisher : Springer Science & Business Media
ISBN 13 : 038722601X
Total Pages : 139 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Linear Algebra and Linear Models by : Ravindra B. Bapat

Download or read book Linear Algebra and Linear Models written by Ravindra B. Bapat and published by Springer Science & Business Media. This book was released on 2008-01-18 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a rigorous introduction to the basic aspects of the theory of linear estimation and hypothesis testing, covering the necessary prerequisites in matrices, multivariate normal distribution and distributions of quadratic forms along the way. It will appeal to advanced undergraduate and first-year graduate students, research mathematicians and statisticians.

The Linear Algebra Survival Guide

Author : Fred Szabo
Publisher : Academic Press
ISBN 13 : 0124095313
Total Pages : 438 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis The Linear Algebra Survival Guide by : Fred Szabo

Download or read book The Linear Algebra Survival Guide written by Fred Szabo and published by Academic Press. This book was released on 2015-02-27 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 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. Includes computational oriented information that complements the essential topics in linear algebra. Presents core topics in a simple, straightforward way with examples for exploring computational illustrations, graphics, and displays using Mathematica. Provides numerous examples of short code in the text, which can be modified for use with exercises to develop graphics displays for teaching, learning, and demonstrations.

A Concise Introduction to Pure Mathematics

Author : Martin Liebeck
Publisher : CRC Press
ISBN 13 : 1315360713
Total Pages : 210 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis A Concise Introduction to Pure Mathematics by : Martin Liebeck

Download or read book A Concise Introduction to Pure Mathematics written by Martin Liebeck and published by CRC Press. This book was released on 2018-09-03 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions. New to the Fourth Edition Two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications New material on inequalities, counting methods, the inclusion-exclusion principle, and Euler’s phi function Numerous new exercises, with solutions to the odd-numbered ones Through careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis.

A (Terse) Introduction to Linear Algebra

Author : Yitzhak Katznelson
Publisher : American Mathematical Soc.
ISBN 13 : 0821844199
Total Pages : 234 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A (Terse) Introduction to Linear Algebra by : Yitzhak Katznelson

Download or read book A (Terse) Introduction to Linear Algebra written by Yitzhak Katznelson and published by American Mathematical Soc.. This book was released on 2008 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra is the study of vector spaces and the linear maps between them. It underlies much of modern mathematics and is widely used in applications.

A Concise Text on Advanced Linear Algebra

Author : Yisong Yang
Publisher : Cambridge University Press
ISBN 13 : 1107087511
Total Pages : 333 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis A Concise Text on Advanced Linear Algebra by : Yisong Yang

Download or read book A Concise Text on Advanced Linear Algebra written by Yisong Yang and published by Cambridge University Press. This book was released on 2015 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging, well-motivated textbook helps advanced undergraduate students to grasp core concepts and reveals applications in mathematics and beyond.

Numerical Linear Algebra

Author : Lloyd N. Trefethen
Publisher : SIAM
ISBN 13 : 1611977169
Total Pages : 387 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Numerical Linear Algebra by : Lloyd N. Trefethen

Download or read book Numerical Linear Algebra written by Lloyd N. Trefethen and published by SIAM. This book was released on 2022-06-17 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its original appearance in 1997, Numerical Linear Algebra has been a leading textbook in its field, used in universities around the world. It is noted for its 40 lecture-sized short chapters and its clear and inviting style. It is reissued here with a new foreword by James Nagy and a new afterword by Yuji Nakatsukasa about subsequent developments.

Mathematical Analysis

Author : Bernd S. W. Schröder
Publisher : John Wiley & Sons
ISBN 13 : 9780470226766
Total Pages : 584 pages
Book Rating : 4.2/5 (267 download)

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Book Synopsis Mathematical Analysis by : Bernd S. W. Schröder

Download or read book Mathematical Analysis written by Bernd S. W. Schröder and published by John Wiley & Sons. This book was released on 2008-01-28 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the fundamentals of mathematical analysis Mathematical Analysis: A Concise Introduction presents the foundations of analysis and illustrates its role in mathematics. By focusing on the essentials, reinforcing learning through exercises, and featuring a unique "learn by doing" approach, the book develops the reader's proof writing skills and establishes fundamental comprehension of analysis that is essential for further exploration of pure and applied mathematics. This book is directly applicable to areas such as differential equations, probability theory, numerical analysis, differential geometry, and functional analysis. Mathematical Analysis is composed of three parts: ?Part One presents the analysis of functions of one variable, including sequences, continuity, differentiation, Riemann integration, series, and the Lebesgue integral. A detailed explanation of proof writing is provided with specific attention devoted to standard proof techniques. To facilitate an efficient transition to more abstract settings, the results for single variable functions are proved using methods that translate to metric spaces. ?Part Two explores the more abstract counterparts of the concepts outlined earlier in the text. The reader is introduced to the fundamental spaces of analysis, including Lp spaces, and the book successfully details how appropriate definitions of integration, continuity, and differentiation lead to a powerful and widely applicable foundation for further study of applied mathematics. The interrelation between measure theory, topology, and differentiation is then examined in the proof of the Multidimensional Substitution Formula. Further areas of coverage in this section include manifolds, Stokes' Theorem, Hilbert spaces, the convergence of Fourier series, and Riesz' Representation Theorem. ?Part Three provides an overview of the motivations for analysis as well as its applications in various subjects. A special focus on ordinary and partial differential equations presents some theoretical and practical challenges that exist in these areas. Topical coverage includes Navier-Stokes equations and the finite element method. Mathematical Analysis: A Concise Introduction includes an extensive index and over 900 exercises ranging in level of difficulty, from conceptual questions and adaptations of proofs to proofs with and without hints. These opportunities for reinforcement, along with the overall concise and well-organized treatment of analysis, make this book essential for readers in upper-undergraduate or beginning graduate mathematics courses who would like to build a solid foundation in analysis for further work in all analysis-based branches of mathematics.

A Concise Introduction to Calculus

Author : Wu Yi Hsiang
Publisher : World Scientific
ISBN 13 : 9789810219017
Total Pages : 172 pages
Book Rating : 4.2/5 (19 download)

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Book Synopsis A Concise Introduction to Calculus by : Wu Yi Hsiang

Download or read book A Concise Introduction to Calculus written by Wu Yi Hsiang and published by World Scientific. This book was released on 1995 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The student of calculus is entitled to ask what calculus is and what it can be used for. This short book provides an answer.The author starts by demonstrating that calculus provides a mathematical tool for the quantitative analysis of a wide range of dynamical phenomena and systems with variable quantities.He then looks at the origins and intuitive sources of calculus, its fundamental methodology, and its general framework and basic structure, before examining a few typical applications.The author's style is direct and pedagogical. The new student should find that the book provides a clear and strong grounding in this important technique.

Introduction to Linear Algebra

Author : Geza Schay
Publisher : Jones & Bartlett Publishers
ISBN 13 : 9780763704230
Total Pages : 112 pages
Book Rating : 4.7/5 (42 download)

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Book Synopsis Introduction to Linear Algebra by : Geza Schay

Download or read book Introduction to Linear Algebra written by Geza Schay and published by Jones & Bartlett Publishers. This book was released on 1997-03-01 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Algebra

Author : Richard C. Penney
Publisher : John Wiley & Sons
ISBN 13 : 1118909593
Total Pages : 512 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Linear Algebra by : Richard C. Penney

Download or read book Linear Algebra written by Richard C. Penney and published by John Wiley & Sons. This book was released on 2015-10-27 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Third Edition “This volume is ground-breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications.” – Electric Review A comprehensive introduction, Linear Algebra: Ideas and Applications, Fourth Edition provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on the development of mathematical intuition, the book emphasizes the need to understand both the applications of a particular technique and the mathematical ideas underlying the technique. The book introduces each new concept in the context of an explicit numerical example, which allows the abstract concepts to grow organically out of the necessity to solve specific problems. The intuitive discussions are consistently followed by rigorous statements of results and proofs. Linear Algebra: Ideas and Applications, Fourth Edition also features: Two new and independent sections on the rapidly developing subject of wavelets A thoroughly updated section on electrical circuit theory Illuminating applications of linear algebra with self-study questions for additional study End-of-chapter summaries and sections with true-false questions to aid readers with further comprehension of the presented material Numerous computer exercises throughout using MATLAB® code Linear Algebra: Ideas and Applications, Fourth Edition is an excellent undergraduate-level textbook for one or two semester courses for students majoring in mathematics, science, computer science, and engineering. With an emphasis on intuition development, the book is also an ideal self-study reference.

Matrices and Linear Algebra

Author : Hans Schneider
Publisher : Courier Corporation
ISBN 13 : 0486139301
Total Pages : 432 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Matrices and Linear Algebra by : Hans Schneider

Download or read book Matrices and Linear Algebra written by Hans Schneider and published by Courier Corporation. This book was released on 2012-06-08 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues, and differential equations. Includes numerous exercises.

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.