Lineare Algebra
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Lineare Algebra
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Author : Siegfried Bosch
language : de
Publisher: Springer-Verlag
Release Date : 2006-05-01
Lineare Algebra written by Siegfried Bosch and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-01 with Mathematics categories.
Die Theorie der Linearen Algebra hat inzwischen die engen Grenzen geometrischer Problemstellungen weit hinter sich gelassen. In nahezu allen Gebieten der aktuellen Mathematik spielen heute Techniken der Linearen Algebra eine wichtige Rolle. Dieses Lehrbuch, das nun in einer dritten Auflage vorliegt, bietet eine systematische Einführung in die Lineare Algebra und entspricht in seinem stofflichen Umfang einer zweisemestrigen Anfängervorlesung, so wie sie an vielen Universitäten als Einführungsveranstaltung für Studierende mit Haupt- oder Nebenfach Mathematik sowie Studienziel Diplom oder Staatsexamen gehalten wird. Im Text wird besonderer Wert auf eine sorgfältige Entwicklung der in der Linearen Algebra gebräuchlichen Begriffsbildungen gelegt, wobei jedes Kapitel mit einer Darlegung der zugehörigen motivierenden geometrischen Ideen beginnt. Umfangreiches und direkt auf die einzelnen Themen bezogenes Übungsmaterial rundet die Darstellung ab.
An Introduction To Linear Algebra
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Author : Ravi P. Agarwal
language : en
Publisher: CRC Press
Release Date : 2017-08-07
An Introduction To Linear Algebra written by Ravi P. Agarwal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-07 with Mathematics categories.
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.
Linear Algebra
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Author : Michael L. O'Leary
language : en
Publisher: John Wiley & Sons
Release Date : 2021-05-04
Linear Algebra written by Michael L. O'Leary and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-04 with Mathematics categories.
LINEAR ALGEBRA EXPLORE A COMPREHENSIVE INTRODUCTORY TEXT IN LINEAR ALGEBRA WITH COMPELLING SUPPLEMENTARY MATERIALS, INCLUDING A COMPANION WEBSITE AND SOLUTIONS MANUALS Linear Algebra delivers a fulsome exploration of the central concepts in linear algebra, including multidimensional spaces, linear transformations, matrices, matrix algebra, determinants, vector spaces, subspaces, linear independence, basis, inner products, and eigenvectors. While the text provides challenging problems that engage readers in the mathematical theory of linear algebra, it is written in an accessible and simple-to-grasp fashion appropriate for junior undergraduate students. An emphasis on logic, set theory, and functions exists throughout the book, and these topics are introduced early to provide students with a foundation from which to attack the rest of the material in the text. Linear Algebra includes accompanying material in the form of a companion website that features solutions manuals for students and instructors. Finally, the concluding chapter in the book includes discussions of advanced topics like generalized eigenvectors, Schur’s Lemma, Jordan canonical form, and quadratic forms. Readers will also benefit from the inclusion of: A thorough introduction to logic and set theory, as well as descriptions of functions and linear transformations An exploration of Euclidean spaces and linear transformations between Euclidean spaces, including vectors, vector algebra, orthogonality, the standard matrix, Gauss-Jordan elimination, inverses, and determinants Discussions of abstract vector spaces, including subspaces, linear independence, dimension, and change of basis A treatment on defining geometries on vector spaces, including the Gram-Schmidt process Perfect for undergraduate students taking their first course in the subject matter, Linear Algebra will also earn a place in the libraries of researchers in computer science or statistics seeking an accessible and practical foundation in linear algebra.
Lectures On Linear Algebra
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Author : I. M. Gelfand
language : en
Publisher: Courier Corporation
Release Date : 1989-01-01
Lectures On Linear Algebra written by I. M. Gelfand and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.
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.
Linear Algebra
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Author :
language : en
Publisher: Pearson South Africa
Release Date : 2000
Linear Algebra written by and has been published by Pearson South Africa this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Algebras, Linear categories.
Linear Algebra
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Author : Klaus Jänich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Linear Algebra written by Klaus Jänich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book covers the material of an introductory course in linear algebra. Topics include sets and maps, vector spaces, bases, linear maps, matrices, determinants, systems of linear equations, Euclidean spaces, eigenvalues and eigenvectors, diagonalization of self-adjoint operators, and classification of matrices. It contains multiple choice tests with commented answers.
Linear Algebra Thoroughly Explained
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Author : Milan Vujicic
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-16
Linear Algebra Thoroughly Explained written by Milan Vujicic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-16 with Science categories.
The author of this book was Professor of Theoretical Physics at the University of Belgrade. The book is based on lectures he gave there to both undergraduate and postgraduate students over a period of several decades. It sets out to explain Linear Algebra from its fundamentals to the most advanced level. A special feature of this book is its didactical approach, with a myriad of thoroughly worked examples and excellent illustrations, which allows the reader to approach the subject from any level and to proceed to that of the most advanced applications. Throughout, the subject is explained with painstaking care.
Linear Algebra
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Author : Harvey E. Rose
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-10-01
Linear Algebra written by Harvey E. Rose and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-01 with Mathematics categories.
In algebra, an entity is called linear if it can be expressed in terms of addition, and multiplication by a scalar; a linear expression is a sum of scalar multiples of the entities under consideration. Also, an operation is called linear if it preserves addition, and multiplication by a scalar. For example, if A and Bare 2 x 2 real matrices, v is a (row) vector in the real plane, and c is a real number, then v(A + B) = vA + vB and (cv)A = c(vA), that is, the process of applying a matrix to a vector is linear. Linear Algebra is the study of properties and systems which preserve these two operations, and the following pages present the basic theory and results of this important branch of pure mathematics. There are many books on linear algebra in the bookshops and libraries of the world, so why write another? A number of excellent texts were written about fifty years ago (see the bibliography); in the intervening period the 'style' of math ematical presentation has changed. Also, some of the more modern texts have concentrated on applications both inside and outside mathematics. There is noth ing wrong with this approach; these books serve a very useful purpose. But linear algebra contains some fine pure mathematics and so a modern text taking the pure mathematician's viewpoint was thought to be worthwhile.
Linear Algebra
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Author : Hugo J. Woerdeman
language : en
Publisher: CRC Press
Release Date : 2021-03-04
Linear Algebra written by Hugo J. Woerdeman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-04 with Mathematics categories.
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.
Lineare Algebra
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Author : Bertram Huppert
language : de
Publisher: Springer-Verlag
Release Date : 2007-10-14
Lineare Algebra written by Bertram Huppert and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-14 with Mathematics categories.
Das vorliegende Lehrbuch erarbeitet die Lineare Algebra aus der Sicht der Anwendungen, die Erstsemester häufig in der Vorlesung vermissen. Es motiviert durch viele verschiedenartige Beispiele aus der Praxis, vermittelt Rechentechniken und führt so zu einem tieferen Verständnis der abstrakten Theorie. Anwenden heißt Verstehen. In diesem Sinn ist das Buch geschrieben.