Calculus with Multiple Variables Essential Skills Workbook: Includes Vector Calculus and Full Solutions
Original price was: $39.99.$19.98Current price is: $19.98.
Description
For students who are already fluent with single-variable derivatives and integrals, this workbook offers practice with essential skills from multivariable calculus (including vector calculus). Each chapter begins with a review of the essential ideas and includes fully solved examples to help serve as a guide. The full solution to every exercise can be found at the back of the book. Authored by experienced teacher, Chris McMullen, Ph.D., this self-study math workbook covers:
- partial derivatives
- extreme values with multiple variables (including saddle points)
- vectors, vector analysis (such as the dot and cross products), and vector calculus
- the gradient, divergence, and curl
- the main coordinate systems: Cartesian, 2D polar, spherical, and cylindrical
- path integrals, surface integrals, and volume integrals
- flux integrals, center of mass, and moment of inertia
- tangent and normal vectors
- and more
The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving calculus problems with multiple variables or vectors.
18 reviews for Calculus with Multiple Variables Essential Skills Workbook: Includes Vector Calculus and Full Solutions
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Smith (verified owner) –
Good Book
John Carpenter (verified owner) –
This is a really fabulous book. It gives tests on the basics of degree level Maths. I think it bridges the gap nicely between A level and degree level. My favourite aspect is gradient, divergence and curl. There are some nice basic questions on those topics. It is a great confidence booster since some degree level maths books are too complicated for me.
. (verified owner) –
This is a very practical book to review and practice multivariable calculus. Thank you to the author for writing this book. I am hoping the author will also write a Differential Equations book similar to this one. I will definitely buy.
MCG (verified owner) –
It is a great workbook. It will help prep one for advanced courses requiring multiple variable calculations.
Dennis B (verified owner) –
While not to be used as a stand alone calculus book but certainly invaluable for a course supplement. Worked examples, and lots of problems (including space to write your solutions out in the book) for each chapter AND all problem sets are fully worked out in the back – not just answers alone but worked out! Can’t find a better book and the price is a steal.
Dr. Bryan Nolan (verified owner) –
Compact and well worth the price
All the books by this author are fantastic and well organized and well explained with very low price despite the high quality of the book.
Fabio (verified owner) –
Alle Bücher dieser Serie ind wirklich hilfreich um das “Handwerk” zu üben. Die Theorie ist sehr knapp gehalten, dafür sind die Lösungen zu den Uebungen sehr gut dokumentiert.
Dale A. Smolinski (verified owner) –
Back binding of book started to come apart when opened wide. Good refresher book for people who do not use calculus very much.
Simone (Kentish) McLellan (verified owner) –
I am taking differential geometry more than 25 years after taking vector calculus. This book provided clear explanations of tangent, normal and binormal vectors that were holding me back from understanding the Frenet Formulas. The examples were adequate for me to complete the practice problems independently. I truly appreciate the author’s direct, no-nonsense approach.
Jeff, Intelligent Adult (verified owner) –
Someone said about the cover of the book, “If the integral with respect to y is inside the integral with respect to x in an iterated integral, then dy should appear to the left of dx.” That’s correct, but the integrals on the cover show an inside integral with respect to x, not y. Thus you treat y as a constant and integrate with respect to x, then evaluate y from 4 to 9 (in the cover’s example). Finally evaluate the outer integral with respect to y. It’s analogous to reversing the operation of partial diff of f with respect to x. The cover is correct.
Someone else said (in German) that this book is all about calculations, methods, and procedures, not proofs. That is true, it’s not an analysis book.
Errol (verified owner) –
The worked examples are clear and easy to understand.
Omah (verified owner) –
I’m relearning calc after 40 years.
Ron Toolsie (verified owner) –
This is not a textbook nor does it pretend to be one, although the explanations-when present- are quite well written. Learn multivariable calculus elsewhere, and then uses these excercises to reinforce that.
This is very much like all the authors other workbooks, inexpensive and a tremendous way to consolidate knowledge aquired elsewhere.
Very high value for money….after all, what is the point of LEARNING about multivariable calculus, if you cannot actually DO it.
Darren Hennig (verified owner) –
Got this to remind myself of some of the MVC (multi-variable) Calculus stuff I used to use in University. Good layout and examples are excellent to illustrate principles. Came well packed and on time – recommended!
Robert (verified owner) –
These calculus workbooks by Chris McMullen Ph.D. are excellent.
This one in particular covers a great range of topics, from the multi variable chain rule, to surface and volume integrals. Most importantly, every step in every calculation is shown, as well as alternative forms of the solutions.
Examples of exactly the types of questions asked all have steps, reasons for whats being done, and solutions. If definitely recommend this if you’re looking to learn and improve your calculus skills.
One important note is that the focus is on learning the content, so there are not a massive amount of problems per chapter. Usually about 8 to 12.
Malek Mun (verified owner) –
Arrived in mint condition; serves it’s purpose.
David Martinez (verified owner) –
Como Ingeniero, lo recomiendo, las matemáticas, así como cualquier cosa en la vida, para aprender algo, se tiene que practicar. Así que lo recomiendo.
Elia (verified owner) –
it’s a good book with exercises and explanations, vary easy to follow, would raccomend