| 书目名称 | Multivariable Analysis | | 编辑 | Satish Shirali,Harkrishan Lal Vasudeva | | 视频video | | | 概述 | Contains a number of examples as well as section-by section problems, ranging from simple to complex.Problems illustrate the application of concepts introduced as well as further developments.Extensiv | | 图书封面 |  | | 描述 | 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 withtransparent 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 l | | 出版日期 | Textbook 2011 | | 关键词 | Differential and integral Calculus in Rn; Extrema; Inverse and implicit function theorems; Lagrange mul | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-85729-192-9 | | isbn_softcover | 978-0-85729-191-2 | | isbn_ebook | 978-0-85729-192-9 | | copyright | Springer-Verlag London Limited 2011 |
The information of publication is updating
|
|
发表于 2025-3-21 20:07:07
