This book gives a comprehensive and thorough introduction to ideas and major results of the theory of functions of several variables and of modern vector calculus in two and three dimensions. Clear and easy-to-follow writing style, carefully crafted examples, wide spectrum of applications and numerous illustrations, diagrams, and graphs invite students to use the textbook actively, helping them to both enforce their understanding of the material and to brush up on necessary technical and computational skills. Particular attention has been given to the material that some students find challenging, such as the chain rule, Implicit Function Theorem, parametrizations, or the Change of Variables Theorem.
This brief book presents an accessible treatment of multivariable calculus with an early emphasis on linear algebra as a tool. Its organization draws strong analogies with the basic ideas...
Here is an introduction to the differential and integral calculus of functions of several variables for students wanting a thorough account of the subject. The authors provide clear though rigorous...
This concise text is a workbook for using vector calculus in practical calculations and derivations. Part One briefly develops vector calculus from the beginning; Part Two consists of answered problems. 2020 edition.
z This next example similarly shows how one can visualize a surface without using graphing software. ... Now set z = 0. This simplifies to the subset satisfying x2 + y2 = a2 which is a curve (circle) in the xy-plane.
The new edition offers a contemporary design, an increased number of practice exercises, and content changes based on reviewer feedback, giving this classic text a modern appeal.
This new edition offers revised coverage in several areas as well as a large number of new exercises and expansion of historical notes.
R. Larson, R. P. Hostetler, B. H. Edwards, and D. E. Heyd, Calculus with Analytic Geometry, Houghton Mifflin company, 2002. 7. R. T. Seeley, Calculus of Several Variables, Scott, Foresman and Company, 1970. 8.
Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach
In this book, how to solve such type equations has been elaborately described.
Written for second semester options, Vector Calculus introduces the student to some of the key techniques used by mathematicians, and includes historical contexts, real-life situations and links with other areas of mathematics.