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210318s2018 xx o ||||0 eng d |
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|a 9783319740737
|q (electronic bk.)
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|z 9783319740720
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|a (MiAaPQ)EBC6314572
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|a (Au-PeEL)EBL6314572
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|a (OCoLC)1066189725
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|a MiAaPQ
|b eng
|e rda
|e pn
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|d MiAaPQ
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|a QA278
|b .L39 2018
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|a 519.535
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|a Lax, Peter D.
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|a Multivariable Calculus with Applications.
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|a Cham :
|b Springer International Publishing AG,
|c 2018.
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|c ©2017.
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|a 1 online resource (488 pages)
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336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Undergraduate Texts in Mathematics Ser.
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|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.
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526 |
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|a AS203 - Bachelor of Science (Hons.) Physics
|z Syllabus Programme
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588 |
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|a Description based on publisher supplied metadata and other sources.
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|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.
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650 |
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|a Multivariate analysis..
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650 |
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|a Mathematical analysis.
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655 |
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4 |
|a Electronic books.
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700 |
1 |
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|a Terrell, Maria Shea.
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776 |
0 |
8 |
|i Print version:
|a Lax, Peter D.
|t Multivariable Calculus with Applications
|d Cham : Springer International Publishing AG,c2018
|z 9783319740720
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797 |
2 |
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|a ProQuest (Firm)
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830 |
|
0 |
|a Undergraduate Texts in Mathematics Ser.
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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
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966 |
0 |
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|a 2021
|b ProQuest Ebook Central
|c UiTM Library
|d Ts. Emilia Abdull Manan
|e Faculty of Applied Sciences
|f ProQuest
|