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Titlebook: Vectors and Functions of Several Variables; Bijan Davvaz Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive li

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发表于 2025-3-21 18:11:57 | 显示全部楼层 |阅读模式
书目名称Vectors and Functions of Several Variables
编辑Bijan Davvaz
视频video
概述Discusses topics on vector functions and functions of several variables.Includes more than 500 challenging and educational exercises and problems.Contains coloured images for better explanation
图书封面Titlebook: Vectors and Functions of Several Variables;  Bijan Davvaz Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive li
描述.This comprehensive textbook explores the topics of vector functions and functions of several variables. With over 500 exercises and problems, carefully chosen for their challenging, interesting, and educational value, this book is an ideal resource for undergraduate students of mathematics, statistics, computer science, engineering and the basic sciences. The material is organized into 10 chapters, each of which begins with necessary definitions, concepts and theorems to provide a solid foundation for understanding the topic. In addition, the book includes detailed solutions to all exercises and problems to help students test their understanding and reinforce their learning. Overall, this book is an excellent choice for anyone seeking a thorough introduction to calculus..
出版日期Textbook 2023
关键词calculus; vector function; functions of several variable; limits; derivative; triple integral; line integr
版次1
doihttps://doi.org/10.1007/978-981-99-2935-1
isbn_softcover978-981-99-2937-5
isbn_ebook978-981-99-2935-1
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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Functions of Several Variables, Limits and Continuity,A . is a function .. So, the . . of . is a subset of . and for each ., the value of . is a real number .. The set of all values taken by . at the points of . is called the . of .. If . is defined by a formula, we usually take the domain . to be as large as possible.
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,Extreme of Functions,Local maximum corresponds to mountain peaks on the surface and local minimum corresponds to valley bottoms (Fig. .). At such points, the tangent planes, when they exist, are horizontal.
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Line Integrals,A .  is an integral where the function to be integrated is evaluated along a curve.
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Multiple Integrals,Let .(., .) be defined on a rectangular region .. We subdivide . into small rectangles, using a network of lines parallel to .-axis and .-axis; see Fig. .. These lines divided . into . rectangular pieces, where the number of such pieces . gets large as the width and height of each piece get small.
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Bijan DavvazDiscusses topics on vector functions and functions of several variables.Includes more than 500 challenging and educational exercises and problems.Contains coloured images for better explanation
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