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Author : Herbert John Ryser
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.:/5 (89 download)
Download or read book Rational Vector Spaces written by Herbert John Ryser and published by . This book was released on 1948 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David G. Luenberger
Publisher : John Wiley & Sons
ISBN 13 : 9780471181170
Total Pages : 348 pages
Book Rating : 4.1/5 (811 download)
Download or read book Optimization by Vector Space Methods written by David G. Luenberger and published by John Wiley & Sons. This book was released on 1997-01-23 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.
Author : Mustafa A. Akcoglu
Publisher : John Wiley & Sons
ISBN 13 : 1118164598
Total Pages : 480 pages
Book Rating : 4.1/5 (181 download)
Download or read book Analysis in Vector Spaces written by Mustafa A. Akcoglu and published by John Wiley & Sons. This book was released on 2011-09-09 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous introduction to calculus in vector spaces The concepts and theorems of advanced calculus combined withrelated computational methods are essential to understanding nearlyall areas of quantitative science. Analysis in Vector Spacespresents the central results of this classic subject throughrigorous arguments, discussions, and examples. The book aims tocultivate not only knowledge of the major theoretical results, butalso the geometric intuition needed for both mathematicalproblem-solving and modeling in the formal sciences. The authors begin with an outline of key concepts, terminology,and notation and also provide a basic introduction to set theory,the properties of real numbers, and a review of linear algebra. Anelegant approach to eigenvector problems and the spectral theoremsets the stage for later results on volume and integration.Subsequent chapters present the major results of differential andintegral calculus of several variables as well as the theory ofmanifolds. Additional topical coverage includes: Sets and functions Real numbers Vector functions Normed vector spaces First- and higher-order derivatives Diffeomorphisms and manifolds Multiple integrals Integration on manifolds Stokes' theorem Basic point set topology Numerous examples and exercises are provided in each chapter toreinforce new concepts and to illustrate how results can be appliedto additional problems. Furthermore, proofs and examples arepresented in a clear style that emphasizes the underlying intuitiveideas. Counterexamples are provided throughout the book to warnagainst possible mistakes, and extensive appendices outline theconstruction of real numbers, include a fundamental result aboutdimension, and present general results about determinants. Assuming only a fundamental understanding of linear algebra andsingle variable calculus, Analysis in Vector Spaces is anexcellent book for a second course in analysis for mathematics,physics, computer science, and engineering majors at theundergraduate and graduate levels. It also serves as a valuablereference for further study in any discipline that requires a firmunderstanding of mathematical techniques and concepts.
Author : Paul R. Halmos
Publisher : Courier Dover Publications
ISBN 13 : 0486822265
Total Pages : 209 pages
Book Rating : 4.4/5 (868 download)
Download or read book Finite-Dimensional Vector Spaces written by Paul R. Halmos and published by Courier Dover Publications. This book was released on 2017-05-24 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic, widely cited, and accessible treatment offers an ideal supplement to many traditional linear algebra texts. "Extremely well-written and logical, with short and elegant proofs." — MAA Reviews. 1958 edition.
Author : Margreet Kuijper
Publisher : Springer Science & Business Media
ISBN 13 : 1461202590
Total Pages : 205 pages
Book Rating : 4.4/5 (612 download)
Download or read book First-order Representations of Linear Systems written by Margreet Kuijper and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the theory of system representations. The systems that are considered are linear, time-invariant, deterministic and finite dimensional. The observation that some representations are more suitable for handling a particular problem than others motivates the study of rep resentations. In modeling a system, a representation often arises naturally from certain laws that underlie the system. In its most general form the representation then consists of dynamical equations for the system compo nents and of constraint equations reflecting the connection between these components. Depending on the particular problem that is to be inves tigated, it will sometimes be useful to rewrite the equations, that is, to transform the representation. For this reason it is of special importance to derive transformations that enable one to switch from one representation to another. A new approach of the past decade has been the so-called "behavioral ap proach" introduced by Willems. One of the main features of the behavioral approach is that it is well suited for modeling the interconnection of sys tems. It is for this reason that the behavioral approach is a natural choice in the context of modeling. In this book we adopt the behavioral approach: we define a system as a "behavior" , that is, a set of trajectories whose math ematical representation by means of differential or difference equations is nonunique. An aspect of this approach that is important in the context of representation theory is the fact that a natural type of equivalence arises.
Author : Yves Felix
Publisher : Springer Science & Business Media
ISBN 13 : 0387950680
Total Pages : 589 pages
Book Rating : 4.3/5 (879 download)
Download or read book Rational Homotopy Theory written by Yves Felix and published by Springer Science & Business Media. This book was released on 2001 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a long awaited book on rational homotopy theory which contains all the main theorems with complete proofs, and more elementary proofs for many results that were proved ten or fifteen years ago. The authors added a frist section on classical algebraic topology to make the book accessible to students with only little background in algebraic topology.
Author : Steven H. Weintraub
Publisher : MAA
ISBN 13 : 0883853515
Total Pages : 267 pages
Book Rating : 4.8/5 (838 download)
Download or read book A Guide to Advanced Linear Algebra written by Steven H. Weintraub and published by MAA. This book was released on 2011-07-07 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough development of a topic at the core of mathematics, ideal for graduate students and professional mathematicians.
Author : James B. Carrell
Publisher : Springer
ISBN 13 : 038779428X
Total Pages : 415 pages
Book Rating : 4.3/5 (877 download)
Download or read book Groups, Matrices, and Vector Spaces written by James B. Carrell and published by Springer. This book was released on 2017-09-02 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries (relations, elementary combinatorics, and induction), the book then proceeds to the core topics: the elements of the theory of groups and fields (Lagrange's Theorem, cosets, the complex numbers and the prime fields), matrix theory and matrix groups, determinants, vector spaces, linear mappings, eigentheory and diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms. The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups, which enriches the notion of a matrix group. Applications involving symm etry groups, determinants, linear coding theory and cryptography are interwoven throughout. Each section ends with ample practice problems assisting the reader to better understand the material. Some of the applications are illustrated in the chapter appendices. The author's unique melding of topics evolved from a two semester course that he taught at the University of British Columbia consisting of an undergraduate honors course on abstract linear algebra and a similar course on the theory of groups. The combined content from both makes this rare text ideal for a year-long course, covering more material than most linear algebra texts. It is also optimal for independent study and as a supplementary text for various professional applications. Advanced undergraduate or graduate students in mathematics, physics, computer science and engineering will find this book both useful and enjoyable.
Author : Sheldon Axler
Publisher : Springer Science & Business Media
ISBN 13 : 9780387982595
Total Pages : 276 pages
Book Rating : 4.9/5 (825 download)
Download or read book Linear Algebra Done Right written by Sheldon Axler and published by Springer Science & Business Media. This book was released on 1997-07-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.
Author : Paul A. Fuhrmann
Publisher : Springer Science & Business Media
ISBN 13 : 1441987347
Total Pages : 368 pages
Book Rating : 4.4/5 (419 download)
Download or read book A Polynomial Approach to Linear Algebra written by Paul A. Fuhrmann and published by Springer Science & Business Media. This book was released on 2012-10-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that these functional methods are not only of great theoretical interest, but lead to computational algorithms. Quadratic forms are treated from the same perspective, with emphasis on the important examples of Bezoutian and Hankel forms. These topics are of great importance in applied areas such as signal processing, numerical linear algebra, and control theory. Stability theory and system theoretic concepts, up to realization theory, are treated as an integral part of linear algebra. Finally there is a chapter on Hankel norm approximation for the case of scalar rational functions which allows the reader to access ideas and results on the frontier of current research.
Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599731169
Total Pages : 288 pages
Book Rating : 4.5/5 (997 download)
Download or read book New Classes of Neutrosophic Linear Algebras written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2010-01-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we introduce three types of neutrosophic linear algebras: neutrosophic set lineat algebra, neutrosophic semigroup linear algebra, and neutrosophic group linear algebra. These are generalizations of neutrosophic linear algebra. These new algebraic structures pave the way for applications in several fields like mathematical modeling.
Author : Vivek Sahai
Publisher :
ISBN 13 : 9781842658086
Total Pages : 0 pages
Book Rating : 4.6/5 (58 download)
Download or read book Linear Algebra written by Vivek Sahai and published by . This book was released on 2013-01-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with the basic concepts of vector spaces such as linear independence, basis and dimension, quotient space, linear transformation and duality, this book includes the concept of eigenvalues and eigenvectors, diagonalization, triangulation and Jordan and rational canonical forms.
Author : Christian Barz
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832548947
Total Pages : 209 pages
Book Rating : 4.8/5 (325 download)
Download or read book Differential Invariants of Prehomogeneous Vector Spaces written by Christian Barz and published by Logos Verlag Berlin GmbH. This book was released on 2019-05-14 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential invariants of prehomogeneous vector spaces studies in detail two differential invariants of a discriminant divisor of a prehomogeneous vector space. The Bernstein-Sato polynomial and the spectrum, which encode the monodromy and Hodge theoretic informations of an associated Gauss-Manin system. The theoretical results are applied to discriminants in the representation spaces of the Dynkin quivers An, Dn, E6, E7 and three non classical series of quiver representations.
Author : Sterling K. Berberian
Publisher : American Mathematical Soc.
ISBN 13 : 0821819127
Total Pages : 226 pages
Book Rating : 4.8/5 (218 download)
Download or read book Introduction to Hilbert Space written by Sterling K. Berberian and published by American Mathematical Soc.. This book was released on 1999 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface: ``This textbook has evolved from a set of lecture notes ... In both the course and the book, I have in mind first- or second-year graduate students in Mathematics and related fields such as Physics ... It is necessary for the reader to have a foundation in advanced calculus which includes familiarity with: least upper bound (LUB) and greatest lower bound (GLB), the concept of function, $\epsilon$'s and their companion $\delta$'s, and basic properties of sequences of real and complex numbers (convergence, Cauchy's criterion, the Weierstrass-Bolzano theorem). It is not presupposed that the reader is acquainted with vector spaces ... , matrices ... , or determinants ... There are over four hundred exercises, most of them easy ... It is my hope that this book, aside from being an exposition of certain basic material on Hilbert space, may also serve as an introduction to other areas of functional analysis.''
Author : Paul Gregory Goerss
Publisher : American Mathematical Soc.
ISBN 13 : 0821832859
Total Pages : 520 pages
Book Rating : 4.8/5 (218 download)
Download or read book Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory written by Paul Gregory Goerss and published by American Mathematical Soc.. This book was released on 2004 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: As part of its series of Emphasis Years in Mathematics, Northwestern University hosted an International Conference on Algebraic Topology. The purpose of the conference was to develop new connections between homotopy theory and other areas of mathematics. This proceedings volume grew out of that event. Topics discussed include algebraic geometry, cohomology of groups, algebraic $K$-theory, and $\mathbb{A 1$ homotopy theory. Among the contributors to the volume were Alejandro Adem,Ralph L. Cohen, Jean-Louis Loday, and many others. The book is suitable for graduate students and research mathematicians interested in homotopy theory and its relationship to other areas of mathematics.
Author : Shou-te Chang
Publisher : World Scientific Publishing Company
ISBN 13 : 9813143134
Total Pages : 389 pages
Book Rating : 4.8/5 (131 download)
Download or read book A First Course In Linear Algebra written by Shou-te Chang and published by World Scientific Publishing Company. This book was released on 2016-07-13 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: A First Course in Linear Algebra is written by two experts from algebra who have more than 20 years of experience in algebra, linear algebra and number theory. It prepares students with no background in Linear Algebra. Students, after mastering the materials in this textbook, can already understand any Linear Algebra used in more advanced books and research papers in Mathematics or in other scientific disciplines.This book provides a solid foundation for the theory dealing with finite dimensional vector spaces. It explains in details the relation between linear transformations and matrices. One may thus use different viewpoints to manipulate a matrix instead of a one-sided approach. Although most of the examples are for real and complex matrices, a vector space over a general field is briefly discussed. Several optional sections are devoted to applications to demonstrate the power of Linear Algebra.
Author : Michel Waldschmidt
Publisher : Springer Science & Business Media
ISBN 13 : 3662115697
Total Pages : 649 pages
Book Rating : 4.6/5 (621 download)
Download or read book Diophantine Approximation on Linear Algebraic Groups written by Michel Waldschmidt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.
