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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.
List of contents
Chapter 1: Vectors and Analytic Geometry.- Chapter 2: Vector Functions and Parametric Equations.- Chapter 3: Functions of Several Variables, Limits and Continuity.- Chapter 4: Partial Derivatives, Directional Derivatives and Gradient Vectors.- Chapter 5: Differentiability and Differential.- Chapter 6: Extreme of Functions.- Chapter 7: Vector Fields.- Chapter 8: Line Integrals.- Chapter 9: Multiple Integrals.- Chapter 10: Surface Integrals.
About the author
Bijan Davvaz is Professor at the Department of Mathematical Sciences, Yazd University, Iran. He also has served as the Head of the Department of Mathematics (1998-2002), Chairman of the Faculty of Science (2004-2006) and Vice-President for Research (2006-2008) at Yazd University, Iran. He earned his PhD in Mathematics with a thesis on "Topics in Algebraic Hyperstructures" from Tarbiat Modarres University, Iran, and completed his M.Sc. in Mathematics from the University of Tehran, Iran. His areas of interest include algebra, algebraic hyperstructures, rough sets and fuzzy logic. On the editorial boards of 25 mathematical journals, Prof. Davvaz has contributed more than 700 research papers on algebra, fuzzy logic and algebraic hyperstructures. He also has authored eight books including three with Springer:
Examples and Problems in Advanced Calculus: Real-Valued Functions,
Groups and Symmetry: Theory and Applications and
A First Course in Group Theory.
