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45 results for "vector calculus"
Vector Calculus By Michael Corral
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This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines,... More > planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals. The book also includes discussion of numerical methods: Newton's method for optimization, and the Monte Carlo method for evaluating multiple integrals. There is a section dealing with applications to probability. Appendices include a proof of the right-hand rule for the cross product, and a short tutorial on using Gnuplot for graphing functions of 2 variables. There are 420 exercises in the book. Answers to selected exercises are included.< Less
Vector Calculus By Michael Corral
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This book covers calculus in two and three variables. It is suitable for a one-semester course, normally known as “Vector Calculus”, “Multivariable Calculus”.
A Completely Differentiated Rotation Vector Field By Gary DeWoolfson
eBook (PDF): $1.55
Partial differentiation and tensor product space algebra are combined to produce fascinating results from vector and dual spaces. The mathematical constructs which emerge are then given an... More > application in a space that fills the image of a four dimensional bijective map with space-time points that are in a state of rotation about a single axis.< Less
A Calculus Oasis - on the sands of trigonometry By Conal Boyce
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A calculus companion book for Calculus I, II and III (3D Vector Calculus). Addressed to Science/Premed majors, not math majors. VERY unusual for its coverage of Calc III. Several chapters are... More > designed to work also as a Liberal Arts overview of calculus, although in general the book is more technical and practical than philosophical.< Less
Contemporary Calculus V By Dale Hoffman
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This is chapters 14 and 15 of Contemporary Calculus. Chapter 14 covers double and triple integrals in rectangular, polar, cylindrical and spherical coordinates and changes of variables in those... More > systems. Chapter 15 covers vector calculus including vector fields, divergence curl, the del operator, line integrals and the theorems of Green, Stokes and Gauss. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas. This material has been reviewed and successfully class tested.< Less
Contemporary Calculus IV By Dale Hoffman
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This is a textbook for 4th quarter calculus covering the Vectors, Vector-Valued Functions, Functions of Several Variables, and Double Integrals. It has explanations, examples, worked solutions,... More > problem sets and answers. It has been reviewed by calculus instructors and class-tested by them and the author. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas. The exposition and problem sets have been highly rated by reviewers.< Less
Contemporary Calculus III By Dale Hoffman
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This is a textbook for 3rd quarter calculus covering the three main topics of (1) calculus with polar coordinates and parametric equations, (2) infinite series, and (3) vectors in 3D. It has... More > explanations, examples, worked solutions, problem sets and answers. It has been reviewed by calculus instructors and class-tested by them and the author. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas. The exposition and problem sets have been highly rated by reviewers.< Less
Contemporary Calculus 3rd Semester By Dale Hoffman
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This is a textbook for the third semester of calculus. The major topics are multiple integrals in rectangular, polar, cylindrical and spherical coordinates and vector calculus including vector... More > fields, line integrals and the theorems of Green, Stokes and Gauss (divergence). The text has explanations, examples, worked solutions, problem sets and answers. It has been reviewed by calculus instructors and class-tested by them and the author. Topics are typically introduced by way of applications, and the text contains the usual theorems and techniques of a third semester of calculus. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas of calculus. The exposition and problem sets have been highly rated by reviewers< Less
Exercises on calculus and linear algebra topics By Roberto Marazzato, Katarzyna Szymanska
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A set of exercises on differential and integral calculus, vectors, matrixes and linear system.
Calculus: Dynamic Mathematics, Volume Two By Chuck Garner
eBook (PDF): $23.95
This is the second volume of a two-volume series of texts designed to help gifted high school students succeed with calculus. This volume includes a complete treatment of two- and three-dimensional... More > vectors, parametric equations, polar functions, an introduction to linear algebra, partial differentiation, multiple integration, line integrals, surface integrals, and infinite series.< Less