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davvaz b vectors functions several variables 2023

Type:: E-books
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Textbook in PDF format From the preface In this book, we study vector functions and functions of several variables. The major part of this book stems from the course in general mathematics given by the author for many years at Yazd University (Iran). The book is intended to serve as a textbook of Calculus (II and III) exercises with solutions for the calculus courses that are usually taken by ﬁrst year students. Indeed, it can be used by all students in Mathematics, Statistics, Computer Science, Engineering and Basic Sciences. A total of 500 problems have been selected from many problems in different books. In choosing problems, three major criteria have been considered: to be challenging, interesting and educational. So, most of the issues have technical and educational aspects. Over the years, in teaching general mathematics have encountered many challenging exercises which have been solved with much time. Most of these exercises have been collected over the last 30 years, from different references. Although some of the references that have been used are listed at the end of the book, I do not know the sources and the main creators of most exercises and problems. So, my duty is to thank everyone who has designed these issues for the ﬁrst time. The book is based on problems, although it is assumed that the students have learned the classical contents from other textbooks, at the same time, at the beginning of each chapter, some necessary deﬁnitions, concepts and theorems are listed. Moreover, as the reader will soon see, there are many exercises at the end of each chapter. They are divided into two categories: easier and harder. The purpose of these exercises is to allow students to test their assimilation of the material, to challenge their mathematical ingenuity and to be a means of developing mathematical insight, intuition and techniques. Preface. Vectors and Analytic Geometry. Vector Functions and Parametric Equations. Functions of Several Variables, Limits and Continuity. Partial Derivatives, Directional Derivatives and Gradient Vectors. Differentiability and Differential. Extreme of Functions. Vector Fields. Line Integrals. Multiple Integrals. Surface Integrals. References. Index

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davvaz b vectors functions several variables 2023

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