With MULTIVARIABLE CALCULUS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. I still give this text a 5 for comprehensiveness.My only complaint here is in the discussion of torsion. Good clear explanations of the ideas behind the theory, e.g., Lagrange multipliers which are sometimes presented as magic, but here are motivated with geometrical ideas.
Matrices are introduced and used freely. I liked the development of differential forms towards the end and having chapter 11 as a teaser for higher level stuff. Wobbling means going back and forth which can happen in the plane. Adopted or used LibreTexts for your course? Some of my favorite examples were missing: e.g., the cycloid and deriving Kepler's laws from Newton's laws, but everybody has their own favorites so I am okay with that. Stewart's 8th edition calculus book covers calculus I, II, & III, i.e. Prior experience with linear algebra is helpful, but not required.Has all the usual topics and then some. There seemed to be plentiful exercises. single variable and multivariable calculus. Multivariable Calculus Lecture Notes (PDF 105P) This lecture note is really good for studying Multivariable calculus. The development was clear enough that I hope most students at this level could get it. I think one addition to chapter 11 as a further teaser and to try to show the relationship of the various theorems, would be to set up the deRham sequence in R^3 and show how gradient, curl, and divergence come into that single unifying sequence. It is more theoretical, more proof-based than what I usually teach, and I might skip some of that if I were teaching from this text, but I think it is good to include the proofs in the text. I liked the development of differential forms towards the end and having chapter 11 as a teaser for higher level stuff. This note contains the following subcategories Vectors in R3, Cylinders and Quadric Surfaces, Partial Derivatives, Lagrange Multipliers, Triple Integrals, Line Integrals of Vector Fields , The Fundamental Theorem for Line Integrals ,Green’s Theorem , The Curl and Divergence of a Vector … Has all the usual topics and then some. (This tiptoes up to topology of the underlying space which the author has already alluded to at various places.) Torsion is "twisting" out of the plane. Good diagrams throughout, present whenever needed to help with understanding, e.g., showing the relationship of two different parametrizations when proving that the value of the integral is independent of the parametrization.The division into parts, chapters, and sections made sense and the sections were not too long.Good. With MULTIVARIABLE CALCULUS, Eighth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. The preface and table of contents outline the organization and make it easy to find topics. The topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss.
It has been used for the past few years here at Georgia Tech. Geometric intuition is particularly stressed. The notes are available as Adobe Acrobat documents.
Contributed by David Guichard Professor (Mathematics) at Whitman College This general calculus book covers a fairly standard course sequence: single variable calculus, infinite series… The mathematics is all correct and the author is honest about where things are being swept under the rug, e.g., in the proof of Green's Theorem.Excellent! This book focuses on modeling physical phenomena, especially from physics and engineering, and on developing geometric intuition. Multivariable Calculus With Vectors Presents a conceptual underpinning for multivariable calculus that is as natural and intuitively simple as possible. Title page and Table of Contents Table of Contents.
The first solution manuals only covers calc I and II while this one only covers calc III. If you do not have an Adobe Acrobat Reader, you may down-load a copy, free of charge, from Adobe. It easy to navigate jumping around with the bookmarks pane in Adobe.
This book covers the standard material for a one-semester course in multivariable calculus.
This is a textbook for a course in multivariable calculus. The book’s aim is to use multivariable calculus to teach mathematics as a blend of reasoning, computing, and problem-solving, doing justice to the structure, the details, and the scope of the ideas.
Good color illustrations showing geometric pictures when helpful.I really liked this text.
It might be helpful to introduce polar coordinates earlier.No problems that I saw. He describes torsion as "wobbling" which to me gives the wrong idea.
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