02483nam a22002537a 4500 OSt 20241026104405.0 241026t2024 |||||||| |||| 00| 0 eng d 9781032582542 SHS QA 304 G44 2024 Ghergu, Marius Differential calculus in several variables : a learning-by-doing approach / Marius Ghergu Boca Raton, FL : CRC Press , 2024. xv, 308 pages ; 23 cm. rdacontent text rdamedia unmediated rdacarrier volume Includes bibliographical references and index. Vectors and sets in Rm -- Functions of several variables -- Limits and continuity -- Differentiable functions -- Chain rule -- Directional derivative -- Second order derivatives -- Taylor's theorem -- Implicit function theorem -- Local and global extrema -- Constrained optimization -- Solutions. "The aim of this book is to lead the reader out from the ordinary routine of computing and calculating by engaging in a more dynamic process of learning. This Learning-by-Doing Approach can be traced back to Aristotle who wrote in his Nicomachean Ethics that "For the things we have to learn before we can do them, we learn by doing them". The theory is illustrated through many relevant examples, followed by a large number of exercises whose requirements are rendered by action verbs: find, show, verify, check, construct. Readers are compelled to analyse and organise analytical skills. Rather than placing the exercises in bulk at the end of each chapter, sets of practice questions after each theoretical concept are included. The reader has the possibility to check his understanding, work on the new topics and gain confidence during the learning activity. As the theory unfolds, the exercises become more complex, sometimes they span over several topics. Hints have been added in order to guide the reader in the process. This book stems from the Differential Calculus course which the author taught for many years. The goal of this book is to immerse the reader in the subtleties of Differential Calculus through an active perspective. Particular attention was paid to continuity and differentiability topics, presented in a new course of action"-- Provided by publisher. Differential calculus Textbooks Functions of several real variables Textbooks lcc BK EAC Cavite-SHS 96811 96811 0 0 lcc 0 0 CAVITE CAVITE EAC Cavite-SHS 2024-09-16 6243.30 0 SHS QA 304 G44 2024 SHS1694 2024-10-26 10:44:39 6243.30 2024-10-26 BK