000			02483nam a22002537a 4500
003			OSt
005			20241026104405.0
008			241026t2024 |||||||| |||| 00| 0 eng d
020			_a9781032582542
050			_aSHS QA 304 _bG44 2024
100			_aGhergu, Marius
245			_aDifferential calculus in several variables : _ba learning-by-doing approach / _cMarius Ghergu
264			_aBoca Raton, FL : _bCRC Press , _c2024.
300			_axv, 308 pages ; _c23 cm.
336			_2rdacontent _atext
337			_2rdamedia _aunmediated
338			_2rdacarrier _avolume
500			_aIncludes bibliographical references and index.
505			_aVectors 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.
520			_a"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.
650			_aDifferential calculus _vTextbooks
650			_aFunctions of several real variables _vTextbooks
942			_2lcc _cBK _kEAC Cavite-SHS
999			_c96811 _d96811