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An Introduction to Multivariable Mathematics (Synthesis Lectures on Mathematics
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所在地：Center Moriches, New York, 美國
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估計於 9月30日 (星期二)至 10月6日 (星期一)之間送達 運送地點 94104
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物品細節
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- ISBN
- 9781598298017
關於產品
Product Identifiers
Publisher
Morgan & Claypool Publishers
ISBN-10
1598298011
ISBN-13
9781598298017
eBay Product ID (ePID)
70215757
Product Key Features
Number of Pages
132 Pages
Language
English
Publication Name
Introduction to Multivariable Mathematics
Publication Year
2008
Subject
Algebra / Linear, General, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics, Technology & Engineering
Series
Synthesis Lectures on Mathematics and Statistics Ser.
Format
Trade Paperback
Dimensions
Item Length
9.3 in
Item Width
7.4 in
Additional Product Features
Intended Audience
Scholarly & Professional
TitleLeading
An
Table Of Content
Linear Algebra Analysis in R More Linear Algebra More Analysis in R Appendix: Introductory Lectures on Real Analysis
Synopsis
The text is designed for use in a forty-lecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis. The core material of the book is arranged to allow for the main introductory material on linear algebra, including basic vector space theory in Euclidean space and the initial theory of matrices and linear systems, to be covered in the first ten or eleven lectures, followed by a similar number of lectures on basic multivariable analysis, including first theorems on differentiable functions on domains in Euclidean space and a brief introduction to submanifolds. The book then concludes with further essential linear algebra, including the theory of determinants, eigenvalues, and the spectral theorem for real symmetric matrices, and further multivariable analysis, including the contraction mapping principle and the inverse and implicit function theorems. There is also an appendix which provides a nine-lecture introduction to real analysis. There are various ways in which the additional material in the appendix could be integrated into a course--for example in the Stanford Mathematics honors program, run as a four-lecture per week program in the Autumn Quarter each year, the first six lectures of the nine-lecture appendix are presented at the rate of one lecture per week in weeks two through seven of the quarter, with the remaining three lectures per week during those weeks being devoted to the main chapters of the text. It is hoped that the text would be suitable for a quarter or semester course for students who have scored well in the BC Calculus advanced placement examination (or equivalent), particularly those who are considering a possible major in mathematics. The author has attempted to make the presentation rigorous and complete, with the clarity and simplicity needed to make it accessible to an appropriately large group of students., The core material of this text is arranged to allow for the main introductory material on linear algebra, including basic vector space theory in Euclidean space and the initial theory of matrices and linear systems, to be covered in ten or eleven lectures, followed by a similar number of lectures on basic multivariable analysis, including first theorems on differentiable functions on domains in Euclidean space and a brief introduction to submanifolds.
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