Linear Algebra Ii
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Linear Algebra Ii
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Author : Frederick P. Greenleaf
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-05-06
Linear Algebra Ii written by Frederick P. Greenleaf and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-06 with Education categories.
This book is the second of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Both volumes have been used for several years in a one-year course sequence, Linear Algebra I and II, offered at New York University's Courant Institute. The first three chapters of this second volume round out the coverage of traditional linear algebra topics: generalized eigenspaces, further applications of Jordan form, as well as bilinear, quadratic, and multilinear forms. The final two chapters are different, being more or less self-contained accounts of special topics that explore more advanced aspects of modern algebra: tensor fields, manifolds, and vector calculus in Chapter 4 and matrix Lie groups in Chapter 5. The reader can choose to pursue either chapter. Both deal with vast topics in contemporary mathematics. They include historical commentary on how modern views evolved, as well as examples from geometry and the physical sciences in which these topics are important. The book provides a nice and varied selection of exercises; examples are well-crafted and provide a clear understanding of the methods involved.
Linear Algebra Ii Advanced Topics For Applications
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Author : Kazuo Murota
language : en
Publisher: World Scientific
Release Date : 2022-07-28
Linear Algebra Ii Advanced Topics For Applications written by Kazuo Murota and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-28 with Mathematics categories.
This is the second volume of the two-volume book on linear algebra in the University of Tokyo (UTokyo) Engineering Course.The objective of this second volume is to branch out from the standard mathematical results presented in the first volume to illustrate useful specific topics pertaining to engineering applications. While linear algebra is primarily concerned with systems of equations and eigenvalue problems for matrices and vectors with real or complex entries, this volumes covers other topics such as matrices and graphs, nonnegative matrices, systems of linear inequalities, integer matrices, polynomial matrices, generalized inverses, and group representation theory.The chapters are, for the most part, independent of each other, and can be read in any order according to the reader's interest. The main objective of this book is to present the mathematical aspects of linear algebraic methods for engineering that will potentially be effective in various application areas.
Linear Algebra Ii
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Author :
language : en
Publisher: Bookboon
Release Date :
Linear Algebra Ii written by and has been published by Bookboon this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Linear Algebra Ii Advanced Topics For Applications
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Author : KAZUO. SUGIHARA MUROTA (MASAAKI.)
language : en
Publisher: Co-Published with World Scientific
Release Date : 2022-08-22
Linear Algebra Ii Advanced Topics For Applications written by KAZUO. SUGIHARA MUROTA (MASAAKI.) and has been published by Co-Published with World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-22 with Mathematics categories.
This is the second volume of the two-volume book on linear algebra in the University of Tokyo (UTokyo) Engineering Course.The objective of this second volume is to branch out from the standard mathematical results presented in the first volume to illustrate useful specific topics pertaining to engineering applications. While linear algebra is primarily concerned with systems of equations and eigenvalue problems for matrices and vectors with real or complex entries, this volumes covers other topics such as matrices and graphs, nonnegative matrices, systems of linear inequalities, integer matrices, polynomial matrices, generalized inverses, and group representation theory.The chapters are, for the most part, independent of each other, and can be read in any order according to the reader's interest. The main objective of this book is to present the mathematical aspects of linear algebraic methods for engineering that will potentially be effective in various application areas.
Introduction To Pure Mathematics
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Author :
language : en
Publisher: Open University Press
Release Date : 1987
Introduction To Pure Mathematics written by and has been published by Open University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Algebras, Linear categories.
Lectures In Abstract Algebra
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Author : N. Jacobson
language : en
Publisher: Springer
Release Date : 2013-01-15
Lectures In Abstract Algebra written by N. Jacobson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-15 with Mathematics categories.
The present volume is the second in the author's series of three dealing with abstract algebra. For an understanding of this volume a certain familiarity with the basic concepts treated in Volume I: groups, rings, fields, homomorphisms, is presup posed. However, we have tried to make this account of linear algebra independent of a detailed knowledge of our first volume. References to specific results are given occasionally but some of the fundamental concepts needed have been treated again. In short, it is hoped that this volume can be read with complete understanding by any student who is mathematically sufficiently mature and who has a familiarity with the standard notions of modern algebra. Our point of view in the present volume is basically the abstract conceptual one. However, from time to time we have deviated somewhat from this. Occasionally formal calculational methods yield sharper results. Moreover, the results of linear algebra are not an end in themselves but are essential tools for use in other branches of mathematics and its applications. It is therefore useful to have at hand methods which are constructive and which can be applied in numerical problems. These methods sometimes necessitate a somewhat lengthier discussion but we have felt that their presentation is justified on the grounds indicated. A stu dent well versed in abstract algebra will undoubtedly observe short cuts. Some of these have been indicated in footnotes. We have included a large number of exercises in the text.
Mathematics Foundation Course Linear Algebra Ii
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Author : Open University. Mathematics Foundation Course Team
language : en
Publisher:
Release Date : 1971
Mathematics Foundation Course Linear Algebra Ii written by Open University. Mathematics Foundation Course Team and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
Linear Algebra Ii
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Author : The Mathematics Foundation Course Team (Walton Hall).
language : en
Publisher:
Release Date : 1971
Linear Algebra Ii written by The Mathematics Foundation Course Team (Walton Hall). and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
Linear Algebra Ii
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Author :
language : en
Publisher:
Release Date :
Linear Algebra Ii written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Electronic book categories.
The Popular Teaching Materials Of Linear Algebra Ii
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Author : Li Xuhong
language : zh-CN
Publisher: American Academic Press
Release Date : 2025-06-23
The Popular Teaching Materials Of Linear Algebra Ii written by Li Xuhong and has been published by American Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-23 with Mathematics categories.
Chapter 7 discusses various standard forms, especially singular value decomposition. Its four corollaries will amaze you. The proof of Theorem 7, which converts similar relationships into offsetting relationships, is simplified compared to traditional methods. Chapter 8 discusses left (right) linear mappings (transformations). Chapter 9 delves into various transformations in unitary spaces, as well as the Cayley transformation and projective transformations. Inference 3 of property 9 of the projective transformation is an innovation. Especially in Example 5, the M-P generalized inverse is obtained by using the positive projective transformation and the elimination (multiplication) law of matrix equations. Spectral decomposition is also discussed in detail. Chapter 10 discusses power image subspaces and provides the generalized natural standard form. Chapter 11 introduces two critical concepts: the extremely inverse matrix and the joint variable restricted reciprocal basis. Figure 11-1 can be called the best picture in the world of dual space. Bilinear functions were also studied.