Multivariable Analysis (HB) at Meripustak

Multivariable Analysis (HB)

Books from same Author: Satish Shirali

Books from same Publisher: Springer Velage

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  • General Information  
    Author(s)Satish Shirali
    PublisherSpringer Velage
    ISBN9780857291912
    Pages404
    BindingHardcover
    LanguageEnglish
    Publish YearDecember 2010

    Description

    Springer Velage Multivariable Analysis (HB) by Satish Shirali

    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.