عنوان

Jordan canonical form :

شابک

1598298054

شابک

9781598298055

شابک اشتباه

1598298046

شابک اشتباه

9781598298048

شماره

b744032

عنوان اصلي

Jordan canonical form :

نام عام مواد

[Book]

ساير اطلاعات عنواني

application to differential equations /

نام نخستين پديدآور

Steven H. Weintraub.

محل نشرو پخش و غیره

[San Rafael, CA] :

نام ناشر، پخش کننده و غيره

Morgan & Claypool Publishers,

تاریخ نشرو بخش و غیره

©2008.

نام خاص و کميت اثر

1 online resource (viii, 85 pages)

عنوان فروست

Synthesis lectures on mathematics and statistics ;

مشخصه جلد

#2

متن يادداشت

Includes index.

متن يادداشت

Title from PDF title page (viewed Nov. 6, 2008).

متن يادداشت

Jordan canonical form -- The diagonalizable case -- The general case -- Solving systems of linear differential equations -- Homogeneous systems with constant coefficients -- Homogeneous systems with constant coefficients -- Inhomogeneous systems with constant coefficients -- The matrix exponential -- Background results -- A.1. Bases, coordinates, and matrices -- A.2. Properties of the complex exponential -- B. Answers to odd-numbered exercises.

بدون عنوان

0

متن يادداشت

Jordan Canonical Form (JCF) is one of the most important, and useful, concepts in linear algebra. In this book we develop JCF and show how to apply it to solving systems of differential equations. We first develop JCF, including the concepts involved in it-eigenvalues, eigenvectors, and chains of generalized eigenvectors. We begin with the diagonalizable case and then proceed to the general case, but we do not present a complete proof. Indeed, our interest here is not in JCF per se, but in one of its important applications. We devote the bulk of our attention in this book to showing how to apply JCF to solve systems of constant-coefficient first order differential equations, where it is a very effective tool. We cover all situations-homogeneous and inhomogeneous systems; real and complex eigenvalues. We also treat the closely related topic of the matrix exponential. Our discussion is mostly confined to the 2-by-2 and 3-by-3 cases, and we present a wealth of examples that illustrate all the possibilities in these cases (and of course, a wealth of exercises for the reader).

منبع سفارش / آدرس اشتراک

01307586

عنوان

Jordan canonical form.

شماره استاندارد بين المللي کتاب و موسيقي

9781598298048

موضوع مستند نشده

Algebras, Linear.

موضوع مستند نشده

Jordan algebras.

موضوع مستند نشده

Algebras, Linear.

موضوع مستند نشده

Jordan algebras.

موضوع مستند نشده

MATHEMATICS-- Differential Equations-- General.

موضوع مستند نشده

MAT-- 007000

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Weintraub, Steven H.

تاريخ عمليات

20201204043000.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y