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The Linear Algebra A Beginning Graduate Student Ought To Know

Author: Jonathan S. Golan
Publisher: Springer Science & Business Media
ISBN: 9400726368
Size: 39.75 MB
Format: PDF, ePub, Docs
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Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and to engineering. It encompasses an extensive corpus of theoretical results as well as a large and rapidly-growing body of computational techniques. Unfortunately, in the past decade, the content of linear algebra courses required to complete an undergraduate degree in mathematics has been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematical proofs, they are also less able to understand the mathematics of the numerical algorithms they need for applications. Certainly, the material presented in the average undergraduate course is insufficient for graduate study. This book is intended to fill the gap which has developed by providing enough theoretical and computational material to allow the advanced undergraduate or beginning graduate student to overcome this deficiency and be able to work independently or in advanced courses. The book is intended to be used either as a self-study guide, a textbook for a course in advanced linear algebra, or as a reference book. It is also designed to prepare a student for the linear algebra portion of prelim exams or PhD qualifying exams. The volume is self-contained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, to some of the basic ideas and techniques, such as manipulation of small matrices and the solution of small systems of linear equations over the real numbers. More importantly, it assumes a seriousness of purpose, considerable motivation, and a modicum of mathematical sophistication on the part of the reader. In the latest edition, new major theorems have been added, as well as many new examples. There are over 130 additional exercises and many of the previous exercises have been revised or rewritten. In addition, a large number of additional biographical notes and thumbnail portraits of mathematicians have been included.

The Linear Algebra A Beginning Graduate Student Ought To Know

Author: CTI Reviews
Publisher: Cram101 Textbook Reviews
ISBN: 146725388X
Size: 33.60 MB
Format: PDF, Kindle
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Facts101 is your complete guide to The Linear Algebra A Beginning Graduate Student Ought To Know. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

Problems And Solutions In Introductory And Advanced Matrix Calculus

Author: Willi-Hans Steeb
Publisher: World Scientific Publishing Company
ISBN: 9813143819
Size: 63.46 MB
Format: PDF, ePub
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This book provides an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus. Supplementary problems in each chapter will challenge and excite the reader, ideal for both graduate and undergraduate mathematics and theoretical physics students. The coverage includes systems of linear equations, linear differential equations, integration and matrices, Kronecker product and vec-operation as well as functions of matrices. Furthermore, specialized topics such as spectral theorem, nonnormal matrices and mutually unbiased bases are included. Many of the problems are related to applications for group theory, Lie algebra theory, wavelets, graph theory and matrix-valued differential forms, benefitting physics and engineering students and researchers alike. It also branches out to problems with tensors and the hyperdeterminant. Computer algebra programs in Maxima and SymbolicC++ have also been provided.

Biblical And Ancient Greek Linguistics Volume 5

Author: Stanley E. Porter
Publisher: Wipf and Stock Publishers
ISBN: 1532611862
Size: 35.44 MB
Format: PDF, Kindle
View: 1984
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Biblical and Ancient Greek Linguistics (BAGL) is an international journal that exists to further the application of modern linguistics to the study of Ancient and Biblical Greek, with a particular focus on the analysis of texts, including but not restricted to the Greek New Testament. The journal is hosted by McMaster Divinity College and works in conjunction with its Centre for Biblical Linguistics, Translation and Exegesis, and the OpenText.org organization (www.opentext.org) in the sponsoring of conferences and symposia open to scholars and students working in Greek linguistics who are interested in contributing to advancing the discussion and methods of the field of research. BAGL is a refereed on-line and print journal dedicated to distributing the results of significant research in the area of linguistic theory and application to biblical and ancient Greek, and is open to all scholars, not just those connected to the Centre and the OpenText.org project.

Formelsammlung Der Matrizenrechnung

Author: Christian Voigt
Publisher: Walter de Gruyter
ISBN: 3486719807
Size: 19.46 MB
Format: PDF
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Ingenieure, Naturwissenschaftler und Mathematiker in Studium und Praxis erhalten die wichtigsten Sätze und Gleichungen der Matrizenrechnung in übersichtlicher und leicht verständlicher Form präsentiert. Um ein kompaktes Format und eine übersichtliche Darstellung zu gewährleisten, wurde bewusst auf die Angabe der zugrunde liegenden Beweise und Hilfssätze verzichtet. Dank der ausführlichen Angabe der Notation und des umfangreichen Index wird der Leser bestmöglich bei der Suche und dem Verständnis der Formeln unterstützt. Ein Glossar der wichtigsten Fachbegriffe, Literatur- und Fachwörterverzeichnis Deutsch-Englisch sowie eine Übersicht über die Matrizenklassen komplettieren die Formelsammlung. Unter www.rtr.tu-darmstadt.de/formelsammlung sind Aktualisierungen und Errata abrufbar. "Das Buch erfüllt voll und ganz meine Erwartungen, weil alle wesentlichen Elemente der Matrizenrechnung in übersichtlicher und verständlicher Form behandelt werden. " Prof. Dr.-Ing. Abbas Farschtschi "Kompakte Formelsammlung mit sehr hohem Anspruchswert für Ingenieure. Sehr empfehlenswert. "

Bilinear Algebra

Author: Kazimierz Szymiczek
Publisher: Routledge
ISBN: 1351464205
Size: 39.22 MB
Format: PDF, Mobi
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Giving an easily accessible elementary introduction to the algebraic theory of quadratic forms, this book covers both Witt's theory and Pfister's theory of quadratic forms. Leading topics include the geometry of bilinear spaces, classification of bilinear spaces up to isometry depending on the ground field, formally real fields, Pfister forms, the Witt ring of an arbitrary field (characteristic two included), prime ideals of the Witt ring, Brauer group of a field, Hasse and Witt invariants of quadratic forms, and equivalence of fields with respect to quadratic forms. Problem sections are included at the end of each chapter. There are two appendices: the first gives a treatment of Hasse and Witt invariants in the language of Steinberg symbols, and the second contains some more advanced problems in 10 groups, including the u-invariant, reduced and stable Witt rings, and Witt equivalence of fields.