Multivariable Calculus, 9E by Ron Larson, Bruce H. Edwards
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About this book :-
Multivariable Calculus, 9E written by
Ron Larson, Bruce H. Edwards
Explorations provide students with unique challenges to study concepts that have not yet been formally covered. They allow students to learn by discovery and introduce topics related to ones they are presently studying. By exploring topics in this way, students are encouraged to think outside the box. Historical Notes provide students with background information on the foundations of calculus, and Biographies help humanize calculus and teach students about the people who contributed to its formal creation. Putnam Exam questions appear in selected sections and are drawn from actual Putnam Exams. These exercises will push the limits of students’ understanding of calculus and provide extra challenges for motivated students.
Theorems provide the conceptual framework for calculus. Theorems are clearly stated and separated from the rest of the text by boxes for quick visual reference. Key proofs often follow the theorem, and other proofs are provided in an in-text appendix. As with the theorems, definitions are clearly stated using precise, formal wording and are separated from the text by boxes for quick visual reference.
Book Detail :-
Title: Multivariable Calculus
Edition: 9th
Author(s): Ron Larson, Bruce H. Edwards
Publisher: Delmar Learning
Series:
Year:
Pages: 516
Type: PDF
Language: English
ISBN: 1439030324,9781439030325
Country: US
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About Author :-
The author Ron Larson was born in Fort Lewis near Tacoma, Washington. Larson studied at Leilehua High School in Wahiawa, Hawaii. In 1957, his family moved to Vancouver, Washington, Larson enrolled in Battle Ground High School, where he graduated in 1959. On October 29, 1960, at the age of 18, he married Deanna Sue Gilbert, also of Vancouver, Washington. From 1959 to 1962, Ron and Deanna Larson started and operated a small business, called Larson's Custom Quilting. In 1962, they sold the business and Ron began attending Clark College in Vancouver, Washington. In 1964, he obtained his associate degree from Clark. Upon graduation from Clark College, Larson was awarded a scholarship from the Alcoa Foundation, which he used to attend Lewis & Clark College in Portland, Oregon. He graduated, with honors, from Lewis & Clark in 1966. From 1966 to 1970, Larson attended graduate school at the University of Colorado at Boulder. He received his master's degree in 1968 and his Ph.D. in mathematics in 1970.
In 1970, Larson start teaching as assistant professor at Penn State Erie,
The Behrend College ,
The Pennsylvania State University , in Erie, Pennsylvania. During his first several years at the college, Larson was instrumental in developing a mathematics major at the college. He served as a member of the University Faculty Senate and also as Behrend College's representative on the University Faculty Council. Larson was promoted to associate professor in 1976 and professor in 1983. During the academic year of 1983–84, Larson served as the acting division head for the Division of Science at Penn State Erie. In 1998 Larson was given the Distinguished Alumnus Award from Lewis and Clark College, Portland, Oregon.
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Book Contents :-
Multivariable Calculus, 9E written by
Ron Larson, Bruce H. Edwards
cover the following topics.
11. Vectors and the Geometry of Space
11.1 Vectors in the Plane
11.2 Space Coordinates and Vectors in Space
11.3 The Dot Product of Two Vectors
11.4 The Cross Product of Two Vectors in Space
11.5 Lines and Planes in Space
11.6 Surfaces in Space
11.7 Cylindrical and Spherical Coordinates
12. Vector-Valued Functions
12.1 Vector-Valued Functions
12.2 Differentiation and Integration of Vector-Valued Functions
12.3 Velocity and Acceleration
12.4 Tangent Vectors and Normal Vectors
12.5 Arc Length and Curvature
13. Functions of Several Variables
13.1 Introduction to Functions of Several Variables
13.2 Limits and Continuity
13.3 Partial Derivatives
13.4 Differentials
13.5 Chain Rules for Functions of Several Variables
13.6 Directional Derivatives and Gradients
13.7 Tangent Planes and Normal Lines
13.8 Extrema of Functions of Two Variables
13.9 Applications of Extrema of Functions of Two Variables
13.10 Lagrange Multipliers
14. Multiple Integration
14.1 Iterated Integrals and Area in the Plane
14.2 Double Integrals and Volume
14.3 Change of Variables: Polar Coordinates
14.4 Center of Mass and Moments of Inertia
14.5 Surface Area
14.6 Triple Integrals and Applications
14.7 Triple Integrals in Cylindrical and Spherical Coordinates
14.8 Change of Variables: Jacobians
15. Vector Analysis
15.1 Vector Fields
15.2 Line Integrals
15.3 Conservative Vector Fields and Independence of Path
15.4 Green
s Theorem
15.5 Parametric Surfaces
15.6 Surface Integrals
15.7 Divergence Theorem
15.8 Stokes
s Theorem
16. Additional Topics in Differential Equations
16.1 Exact First-Order Equations
16.2 Second-Order Homogeneous Linear Equations
16.3 Second-Order Nonhomogeneous Linear Equations
16.4 Series Solutions of Differential Equations
Appendix
A.Proofs of Selected Theorems A2
B.Integration Tables A21
C.Precalculus Review(Online)
D.Rotation and the General Second-Degree Equation (Online)
E.Complex Numbers(Online)
F.Business and Economic Applications (Online)
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