Multivariable Calculus (9th Edition) by Ron Larson, Bruce H. Edwards
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About this book :-
Multivariable Calculus (9th Edition) 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
Author(s): Ron Larson, Bruce H. Edwards
Publisher: Delmar Learning
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About Author :-
The author Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2013 Text and Academic Authors Association Award for CALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, the 2011 William Holmes McGuffey Longevity Award for PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.
The Professor Bruce H. Edwards has been a Professor of Mathematics at the
University of Florida since 1976. He received his B.S. in Mathematics from Stanford University in 1968 and his Ph.D. in Mathematics from Dartmouth College in 1976. From 1968 to 1972, he was a Peace Corps volunteer in Colombia, where he taught mathematics (in Spanish) at Universidad Pedag�gica y Tecnol�gica de Colombia.
Professor Edwards�s early research interests were in the broad area of pure mathematics called algebra. His dissertation in quadratic forms was titled �Induction Techniques and Periodicity in Clifford Algebras.� Beginning in 1978, Professor Edwards became interested in applied mathematics while working summers for NASA at the Langley Research Center in Virginia. This work led to his research in numerical analysis and the solution of differential equations. During his sabbatical year, 1984 to 1985, he worked on two-point boundary value problems with Professor Leo Xanthis at the Polytechnic of Central London. Professor Edwards�s current research is focused on the algorithm called CORDIC that is used in computers and graphing calculators for calculating function values.
Professor Bruce H. Edwards has coauthored a number of mathematics textbooks with Professor Ron Larson of Penn State Erie, The Behrend College. Together, they have published leading texts in calculus, applied calculus, linear algebra, finite mathematics, algebra, trigonometry, and precalculus.
Over the years, Professor Edwards has received many teaching awards at the University of Florida. He was named Teacher of the Year in the College of Liberal Arts and Sciences in 1979, 1981, and 1990. In addition, he was named the College of Liberal Arts and Sciences Student Council Teacher of the Year and the University of Florida Honors Program Teacher of the Year in 1990. He also served as the Distinguished Alumni Professor for the UF Alumni Association from 1991 to 1993. The winners of this two-year award are selected by graduates of the university. The Florida Section of the Mathematical Association of America awarded Professor Edwards the Distinguished Service Award in 1995 for his work in mathematics education for the state of Florida. His textbooks have been honored with various awards from the Text and Academic Authors Association.
Professor Edwards has taught a wide range of mathematics courses at the University of Florida, from first-year calculus to graduate-level classes in algebra and numerical analysis. He particularly enjoys teaching calculus to freshman because of the beauty of the subject and the enthusiasm of the students. Professor Edwards has been a frequent speaker at both research conferences and meetings of the National Council of Teachers of Mathematics. He has spoken on issues relating to the Advanced Placement calculus examination, especially on the use of graphing calculators.
Other Books of Author
Professor Edwards has taught three other Great Courses:
Understanding Calculus: Problems, Solutions, and Tips;
Mathematics Describing the Real World:
Precalculus and Trigonometry; and Prove It:
Also author of many books
All Famous Books of this Author :-
Here is list all books/Edition avaliable of this author, We recomended you to download all.
1. Calculus An Applied Approach (8E) by Ron Larson
2. Calculus Early Transcendental Functions (7E) by Ron Larson, Bruce H. Edwards
3. Multivariable Calculus (9E) by Ron Larson, Bruce H. Edwards
4. Precalculus (7E) by Ron Larson, Robert Hostetler
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Book Contents :-
Multivariable Calculus (9th Edition) 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
13.5 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
15.5 Parametric Surfaces
15.6 Surface Integrals
15.7 Divergence 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
A.Proofs of Selected Theorems A2
B.Integration Tables A21
D.Rotation and the General Second-Degree Equation (Online)
F.Business and Economic Applications (Online)
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