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Calculus Howard Anton

Calculus By Howard Anton

Calculus by Howard Anton


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Summary

Designed for the Calculus III sequence, the eighth edition continues to evolve to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds.

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Calculus Summary

Calculus: Multivariable: Multivariable by Howard Anton

Designed for the Calculus III sequence, the eighth edition continues to evolve to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds. The new edition retains the strengths of earlier editions such as Anton's trademark clarity of exposition, sound mathematics, excellent exercises and examples, and appropriate level. Anton also incorporates new ideas that have withstood the objective scrutiny of many skilled and thoughtful instructors and their students.

About Howard Anton

Howard Anton obtained his B.A. from Lehigh University, his M.A. from the University of Illinois, and his Ph.D. from the Polytechnic University of Brooklyn, all in mathematics. In the early 1960's he worked for Burroughs Corporation and Avco Corporation at Cape Canaveral, Florida, where he was involved with the manned space program. In 1968 he joined the Mathematics Department at Drexel University, where he taught full time until 1983. Since that time he has been an adjunct professor at Drexel and has devoted the majority of his time to textbook writing and activities for mathematical associations. Dr. Anton was president of the EPADEL Section of the Mathematical Association of America (MAA), Served on the board of Governors of that organization, and guided the creation of the Student Chapters of the MAA. He has published numerous research papers in functional analysis, approximation theory, and topology, as well as pedagogical papers. He is best known for his textbooks in mathematics, which are among the most widely used in the world. There are currently more than one hundred versions of his books, including translations into Spanish, Arabic, Portuguese, Italian, Indonesian, French, Japanese, Chinese, Hebrew, and German. For relaxation, Dr. Anton enjoys traveling and photography. Irl C. Bivens, recipient of the George Polya Award and the Merten M. Hasse Prize for Expository Writing in Mathematics, received his A.B. from Pfeiffer College and his Ph.D. from the University of North Carolina at Chapel Hill, both in mathematics. Since 1982, he has taught at Davidson College, where he currently holds the position of professor of mathematics. A typical academic year sees him teaching courses in calculus, topology, and geometry. Dr. Bivens also enjoys mathematical history, and his annual History of Mathematics seminar is a perennial favorite with Davidson mathematics majors. He has published numerous articles on undergraduate mathematics, as well as research papers in his specialty, differential geometry. he is currently a member of the editorial board for the MAA Problem Book series and is a reviewer for Mathematical Reviews. When he is not pursuing mathematics, Professor Bivens enjoys juggling, swimming, walking, and spending time with his son Robert. Stephen L. Davis received his B.A. from Lindenwood College and his Ph.D. from Rutgers University in mathematics. Having previously taught at Rutgers University and Ohio State University, Dr. Davis came to Davidson College in 1981,A where he is currently a professor of mathematics. He regularly teaches calculus, linear algebra, abstract algebra, and computer science. A sabbatical in 1995-1996 took him to Swarthmore College as a visiting associate professor. Professor Davis has published numerous articles on calculus reform and testing, as well as research papers on finite group theory, his specialty. Professor Davis has held several offices in the Southeastern section of the MAA, including chair and secretary-treasurer. He is currently a faculty consultant for the Educational testing Service Advanced Placement Calculus Test, a board member of the North Carolina, Association of Advanced Placement Mathematics Teachers, and is actively involved in nurturing mathematically talented high school students through leadership in the Charlotte Mathematics Club. He was formerly North Carolina state director for the MAA. For relaxation, he plays basketball, juggles, and travels. Professor Davis and his wife Elisabeth have three children, Laura, Anne, and James, all former calculus Students.

Table of Contents

chapter twelve THREE-DIMENSIONAL SPACE; VECTORS 786 12.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces 786 12.2 Vectors 792 12.3 Dot Product; Projections 804 12.4 Cross Product 813 12.5 Parametric Equations of Lines 824 12.6 Planes in 3-Space 831 12.7 Quadric Surfaces 839 12.8 Cylindrical and Spherical Coordinates 850 chapter thirteen VECTOR-VALUED FUNCTIONS 859 13.1 Introduction to Vector-Valued Functions 859 13.2 Calculus of Vector-Valued Functions 865 13.3 Change of Parameter; Arc Length 876 13.4 Unit Tangent, Normal, and Binormal Vectors 886 13.5 Curvature 892 13.6 Motion Along a Curve 901 13.7 Kepler's Laws of Planetary Motion 914 chapter fourteen PARTIAL DERIVATIVES 924 14.1 Functions of Two or More Variables 924 14.2 Limits and Continuity 936 14.3 Partial Derivatives 945 14.4 Differentiability, Differentials, and Local Linearity 959 14.5 The Chain Rule 968 14.6 Directional Derivatives and Gradients 978 14.7 Tangent Planes and Normal Vectors 989 14.8 Maxima and Minima of Functions of Two Variables 996 14.9 Lagrange Multipliers 1008 chapter fifteen MULTIPLE INTEGRALS 1018 15.1 Double Integrals 1018 15.2 Double Integrals over Nonrectangular Regions 1026 15.3 Double Integrals in Polar Coordinates 1035 15.4 Parametric Surfaces; Surface Area 1043 15.5 Triple Integrals 1056 15.6 Centroid, Center of Gravity, Theorem of Pappus 1065 15.7 Triple Integrals in Cylindrical and Spherical Coordinates 1076 15.8 Change of Variables in Multiple Integrals; Jacobians 1087 chapter sixteen TOPICS IN VECTOR CALCULUS 1102 16.1 Vector Fields 1102 16.2 Line Integrals 1112 16.3 Independence of Path; Conservative Vector Fields 1129 16.4 Green's Theorem 1139 16.5 Surface Integrals 1147 16.6 Applications of Surface Integrals; Flux 1155 16.7 The Divergence Theorem 1164 16.8 Stokes'Theorem 1173 Horizon Module: Hurricane Modeling 1183 ANSWERS A33 PHOTOCREDITS C1 INDEX I-1 web appendix a TRIGONOMETRY REVIEW W1 web appendix b SOLVING POLYNOMIAL EQUATIONS W15 web appendix c SELECTED PROOFS W22 web appendix d REAL NUMBERS,INTERVALS, AND INEQUALITIES W31 web appendix e ABSOLUTE VALUE W41 web appendix f COORDINATE PLANES, LINES, AND LINEAR FUNCTIONS W47 web appendix g DISTANCE, CIRCLES, AND QUADRATIC FUNCTIONS W62 web appendix h THE DISCRIMINANT W72 additional material PARAMETRIC EQUATIONS additional material MATHEMATICAL MODELING WITH DIFFERENTIAL EQUATIONS additional material ANALYTIC GEOMETRY IN CALCULUS

Additional information

CIN0471482374G
9780471482376
0471482374
Calculus: Multivariable: Multivariable by Howard Anton
Used - Good
Hardback
John Wiley and Sons Ltd
2005-05-06
448
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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