Multivariable Calculus with Applications.

Bibliographic Details
Main Author: Lax, Peter D.
Other Authors: Terrell, Maria Shea.
Format: eBook
Language:English
Published: Cham : Springer International Publishing AG, 2018.
Series:Undergraduate Texts in Mathematics Ser.
Subjects:
Online Access:View fulltext via EzAccess
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245 1 0 |a Multivariable Calculus with Applications. 
264 1 |a Cham :  |b Springer International Publishing AG,  |c 2018. 
264 4 |c ©2017. 
300 |a 1 online resource (488 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Undergraduate Texts in Mathematics Ser. 
505 0 |a Intro -- Preface -- Contents -- 1 Vectors and matrices -- 1.1 Two-dimensional vectors -- 1.2 The norm and dot product of vectors -- 1.3 Bilinear functions -- 1.4 n-dimensional vectors -- 1.5 Norm and dot product in n dimensions -- 1.6 The determinant -- 1.7 Signed volume -- 1.8 Linear functions and their representation by matrices -- 1.9 Geometric applications -- 2 Functions -- 2.1 Functions of several variables -- 2.2 Continuity -- 2.3 Other coordinate systems -- 3 Differentiation -- 3.1 Differentiable functions -- 3.2 The tangent plane and partial derivatives -- 3.3 The Chain Rule -- 3.4 Inverse functions -- 3.5 Divergence and curl -- 4 More about differentiation -- 4.1 Higher derivatives of functions of several variables -- 4.2 Extrema of functions of two variables -- 4.3 Extrema of functions of several variables -- 4.4 Extrema on level sets -- 5 Applications to motion -- 5.1 Motion in space -- 5.2 Planetary motion -- 6 Integration -- 6.1 Introduction to area, volume, and integral -- 6.2 The integral of a continuous function of two variables -- 6.3 Double integrals as iterated single integrals -- 6.4 Change of variables in a double integral -- 6.5 Integration over unbounded sets -- 6.6 Triple and higher integrals -- 7 Line and surface integrals -- 7.1 Line integrals -- 7.2 Conservative vector fields -- 7.3 Surfaces and surface integrals -- 8 Divergence and Stokes' Theorems and conservation laws -- 8.1 Green's Theorem and the Divergence Theorem in mathbbR2 -- 8.2 The Divergence Theorem in mathbbR3 -- 8.3 Stokes' Theorem -- 8.4 Conservation laws -- 8.5 Conservation laws and one-dimensional flows -- 9 Partial differential equations -- 9.1 Vibration of a string -- 9.2 Vibration of a membrane -- 9.3 The conduction of heat -- 9.4 Equilibrium -- 9.5 The Schrödinger equation -- Answers to selected problems -- Index. 
526 0 |a AS203 - Bachelor of Science (Hons.) Physics  |z Syllabus Programme 
588 |a Description based on publisher supplied metadata and other sources. 
590 |a Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2021. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.  
650 0 |a Multivariate analysis.. 
650 0 |a Mathematical analysis. 
655 4 |a Electronic books. 
700 1 |a Terrell, Maria Shea. 
776 0 8 |i Print version:  |a Lax, Peter D.  |t Multivariable Calculus with Applications  |d Cham : Springer International Publishing AG,c2018  |z 9783319740720 
797 2 |a ProQuest (Firm) 
830 0 |a Undergraduate Texts in Mathematics Ser. 
856 4 0 |u https://ezaccess.library.uitm.edu.my/login?url=https://ebookcentral.proquest.com/lib/uitm-ebooks/detail.action?docID=6314572  |z View fulltext via EzAccess 
966 0 |a 2021  |b ProQuest Ebook Central  |c UiTM Library  |d Ts. Emilia Abdull Manan  |e Faculty of Applied Sciences  |f ProQuest