Classroom-tested and lucidly written, Multivariable Calculus gives a thorough and rigoroustreatment of differential and integral calculus of functions of several variables. Designed as ajunior-level textbook for an advanced calculus course, this book covers a variety of notions, including continuity, differentiation, multiple integrals, line and surface integrals, differentialforms, and infinite series. Numerous exercises and examples throughout the book facilitatethe student's understanding of important concepts.The level of rigor in this textbook is high; virtually every result is accompanied by a proof. Toaccommodate teachers' individual needs, the material is organized so that proofs can be deemphasizedor even omitted. Linear algebra for n-dimensional Euclidean space is developedwhen required for the calculus; for example, linear transformations are discussed for the treatmentof derivatives.Featuring a detailed discussion of differential forms and Stokes' theorem, Multivariable Calculusis an excellent textbook for junior-level advanced calculus courses and it is also usefulfor sophomores who have a strong background in single-variable calculus. A two-year calculussequence or a one-year honor calculus course is required for the most successful use of thistextbook. Students will benefit enormously from this book's systematic approach to mathematicalanalysis, which will ultimately prepare them for more advanced topics in the field.
Appropriate for the third semester in the college calculus sequence, the Fourth Edition of Multivariable Calculus maintains the student-friendly writing style and robust exercises and problem sets that Dennis Zill is famous for.
This book covers the standard material for a one-semester course in multivariable calculus.
In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete ...
This text in multivariable calculus fosters comprehension through meaningful explanations.
The only prerequisite for this text is a course in one-variable calculus.
Answers to Selected Problems Chapter 1 Section 1.1, page 21 1. (a) x = 2, y = -3 (b) x = 1, y = 2, 2 = -3 3. (a) x = 2, y = -2 (b) x = 1, y = 3 2 4 6 1 0 2 5. (a) |-2 4 2 (b) undefined (c) |0 0 0 6 4 2 (d) [' '. (e) undefined 9.
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.
Basic Multivariable Calculus
This carefully-designed book covers multivariable and vector calculus, and is appropriate either as a text of a one-semester course, or for self-study.
Technology Window Computer software is now available for graphing functions of two variables . Software packages such as Mathematica , Maple , and Derive will do very sophisticated graphs in three dimensions . Software usually allows a ...