Multivariable analysis

By:

Shirali, Satish [author.]

Contributor(s):

Vasudeva, Harkrishan Lal [co-author.]

Material type:

TextLanguage: English Publication details: London : Springer Verlag, 2011.Description: ix, 394pISBN:

9780857291912

Subject(s):

Other classification:

B32 Q1 TB

Summary: This book provides a rigorous treatment of multivariable differential and integral calculus. Implicit function theorem and the inverse function theorem based on total derivatives is explained along with the results and the connection to solving systems of equations. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes' Theorem are expounded in the last chapter. With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Much of the material included is published for the first time in textbook form, for example Schwarz' Theorem in Chapter 2 and double sequences and sufficient conditions for constrained extrema in Chapter 4. A wide selection of problems, ranging from simple to more challenging, are included with carefully formed solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics.

Item type:

Textual

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Cover image	Item type	Current library	Home library	Collection	Shelving location	Call number	Materials specified	Vol info	URL	Copy number	Status	Notes	Date due	Barcode	Item holds	Item hold queue priority	Course reserves
	Textual	Central Science Library	Central Science Library			B32 Q1 TB (Browse shelf(Opens below))					Available			SL1558050

Browsing Central Science Library shelves Close shelf browser (Hides shelf browser)

Previous								Next
Previous	B32 Q0 TB Statistical inference for functional diffusion processes.	B32 Q0 TB Advanced calculus:a transition to analysis	B32 Q0;1 TB Statistical inference for fractional diffusion processes	B32 Q1 TB Multivariable analysis	B32 Q1 TB Multivariable calculus	B32 Q2 TB Fractional calclus : models and numerical methods	B32 Q2 TB Calculus and its origins	Next

Includes References 387-388p. and Index 389-394p.

This book provides a rigorous treatment of multivariable differential and integral calculus. Implicit function theorem and the inverse function theorem based on total derivatives is explained along with the results and the connection to solving systems of equations. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes' Theorem are expounded in the last chapter. With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Much of the material included is published for the first time in textbook form, for example Schwarz' Theorem in Chapter 2 and double sequences and sufficient conditions for constrained extrema in Chapter 4. A wide selection of problems, ranging from simple to more challenging, are included with carefully formed solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics.

There are no comments on this title.

to post a comment.

Back to results

1 Agriculture and rural development in Indonesia
by Hansen Gary E Ed.
2 Agriculture and rural development in Indonesia
by Hansen Gary E Ed.
3 Rural development in Taiwan and Mainland China
by CALKINS Peter etc. Ed.
4 Migration and under development
by Shankman Paul
5 Migration and under development
by Shankman Paul
6 Managing political change
by Gendzier Irene L
7 Finance and third world economic growtrh
8 Economics development , poverty and income disribu
by Loehr William
9 Economics development , poverty and income disribu
by Loehr William
10 Managing development programs
by Paul Samuel
11 Managing development programs
by Paul Samuel
12 From dependency to development
by Munoz Heraldo Ed.
13 From dependency to development
by Munoz Heraldo Ed.
14 Undermining rural development with cheap credit
by Adams Dale W et al Ed.
15 Undermining rural development with cheap credit
by Adams Dale W et al Ed.
16 Rural energy to meet development needs
by Nurul Islam M Ed.
17 Rural energy to meet development needs
by Nurul Islam M Ed.
18 Challenge of the new international economic order
by Reubens Edwin P. Ed.
19 Challange of the new international economic order
by Reubens Edwin P Ed.
20 Challange of the new international economic order
by Reubens Edwin P Ed.
21 Government and mining companies in developing coun
by Cobbe James H
22 Government and mining companies in developing coun
by Cobbe James H
23 Project analysis for local development
by Mathur Om Prakash
24 Agrarian transformation in Egypt
by Hopkins Nicholas S
25 Agrarian transformation in Egypt
by Hopkins Nicholas S
26 Subsistence and change
by Massey Garth
27 Power and poverty
by Attwood Donald W
28 Managing renewable natural resources in developing
by Howe Charles W Ed.
29 Subsistence and change
by Massey Garth
30 Power and poverty
by Attwood Donald W
31 Managing renewable natural resources in developing
by Howe Charles W Ed.
32 Patterns of change in developing rural regions
by Bar-El Raphael , and others
33 Patterns of change in developing rural regions
by Bar-El Raphael , and others
34 Patterns of change in developing rural regions
by Bar-El Raphael , and others
35 Patterns of change in developing rural regions
by Bar-El Raphael , and others
36 Macro-policies for appropriate technology in developing countries
by Stewart Frances
37 Macro-policies for appropriate technology in developing countries
by Stewart Frances
38 Economics of foreign aid and self-sustarning devel
by Mikesell Raymond F
39 Economics of foreign aid and self-sustarning devel
by Mikesell Raymond F
40 Crisis in the Sahel
by Lateef Noel V
41 Crisis in the Sahel
by Lateef Noel V
42 Credit for small farmers in developing countries
by Donald Gordon
43 Credit for small farmers in developing countries
by Donald Gordon
44 Financing governmental decentralization
by Schroeder Larry Ed.
45 Financing governmental decentralization
by Schroeder Larry Ed.
46 New economics of the less developed countries
by Kamrany Nake M Ed.
47 New economics of the less developed countries
by Kamrany Nake M Ed.
48 New economics of the less developed countries
by Kamrany Nake M Ed.
49 New economics of the less developed countries
by Kamrany Nake M Ed.
50 Energy in the transition from rural subsistehce
by Wionczek Miguel S Ed.