Calculus Early Transcendentals 10th Edition by Anton and Davis
Book Details :
LanguageEnglish
Pages1318
FormatPDF
Size24.1 MB


Calculus Early Transcendentals 10th Edition by Anton and Davis



Calculus Early Transcendentals 10th Edition by Howard Anton, Bivens, and Stephen Davis | PDF Free Download.

Authors of Calculus Early Transcendentals eBook

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 1960s, 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 Emeritus 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.

His textbook in linear algebra has won both the Textbook Excellence Award and the McGuffey Award from the Textbook Author’s Association. For relaxation, Dr. Anton enjoys traveling and photography.

Irl C. Bivens, the 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 has served on the editorial boards of the MAA Problem Book series, the MAA Dolciani Mathematical Expositions series and The College Mathematics Journal. When he is not pursuing mathematics, Professor Bivens enjoys reading, juggling, swimming, and walking.

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, 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 and has served on the MAA Board of Governors.

He is currently a faculty consultant for the Educational Testing Service for the grading of the Advanced Placement Calculus Exam, webmaster for 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.

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.

Calculus Early Transcendentals Contents


BEFORE CALCULUS

  • Functions 
  • New Functions from Old 
  • Families of Functions 
  • Inverse Functions; Inverse Trigonometric Functions
  • Exponential and Logarithmic Functions 

LIMITS AND CONTINUITY 

  • Limits (An Intuitive Approach) 
  • Computing Limits 
  • Limits at Infinity; End Behavior of a Function 
  • Limits (Discussed More Rigorously) 
  • Continuity 
  • Continuity of Trigonometric, Exponential, and Inverse Functions 

THE DERIVATIVE 

  • Tangent Lines and Rates of Change 
  • The Derivative Function 
  • Introduction to Techniques of Differentiation 
  • The Product and Quotient Rules 
  • Derivatives of Trigonometric Functions 
  • The Chain Rule 

TOPICS IN DIFFERENTIATION 

  • Implicit Differentiation 
  • Derivatives of Logarithmic Functions 
  • Derivatives of Exponential and Inverse Trigonometric Functions 
  • Related Rates 
  • Local Linear Approximation; Differentials 
  • L’Hôpital’s Rule; Indeterminate Forms 

THE DERIVATIVE IN GRAPHING AND APPLICATIONS 

  • Analysis of Functions I: Increase, Decrease, and Concavity 
  • Analysis of Functions II: Relative Extrema; Graphing Polynomials 
  • Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents
  • Absolute Maxima and Minima 
  • Applied Maximum and Minimum Problems 
  • Rectilinear Motion 
  • Newton’s Method 
  • Rolle’s Theorem; Mean-Value Theorem 

INTEGRATION 

  • An Overview of the Area Problem 
  • The Indefinite Integral 
  • Integration by Substitution 
  • The Definition of Area as a Limit; Sigma Notation 
  • The Definite Integral 
  • The Fundamental Theorem of Calculus 
  • Rectilinear Motion Revisited Using Integration 
  • Average Value of a Function and its Applications 
  • Evaluating Definite Integrals by Substitution 
  • Logarithmic and Other Functions Defined by Integrals 

APPLICATIONS OF THE DEFINITE INTEGRAL IN GEOMETRY, SCIENCE, AND ENGINEERING 

  • Area Between Two Curves 
  • Volumes by Slicing; Disks and Washers 
  • Volumes by Cylindrical Shells 
  • Length of a Plane Curve 
  • Area of a Surface of Revolution 
  • Work 
  • Moments, Centers of Gravity, and Centroids 
  • Fluid Pressure and Force 
  • Hyperbolic Functions and Hanging Cables 

PRINCIPLES OF INTEGRAL EVALUATION 

  • An Overview of Integration Methods
  • Integration by Parts 
  • Integrating Trigonometric Functions 
  • Trigonometric Substitutions 
  • Integrating Rational Functions by Partial Fractions 
  • Using Computer Algebra Systems and Tables of Integrals 
  • Numerical Integration; Simpson’s Rule 
  • Improper Integrals 

MATHEMATICAL MODELING WITH DIFFERENTIAL EQUATIONS 

  • Modeling with Differential Equations 
  • Separation of Variables 
  • Slope Fields; Euler’s Method 
  • First-Order Differential Equations and Applications 

INFINITE SERIES 

  • Sequences 
  • Monotone Sequences 
  • Infinite Series 
  • Convergence Tests 
  • The Comparison, Ratio, and Root Tests 
  • Alternating Series; Absolute and Conditional Convergence 
  • Maclaurin and Taylor Polynomials 
  • Maclaurin and Taylor Series; Power Series 
  • The convergence of Taylor Series 
  • Differentiating and Integrating Power Series; Modeling with Taylor Series

PARAMETRIC AND POLAR CURVES; CONIC SECTIONS 

  • Parametric Equations; Tangent Lines and Arc Length for Parametric Curves 
  • Polar Coordinates 
  • Tangent Lines, Arc Length, and Area for Polar Curves 
  • Conic Sections 
  • Rotation of Axes; Second-Degree Equations
  • Conic Sections in Polar Coordinates 

THREE-DIMENSIONAL SPACE; VECTORS 

  • Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces 
  • Vectors 
  • Dot Product; Projections 
  • Cross Product 
  • Parametric Equations of Lines 
  • Planes in 3-Space 
  • Quadric Surfaces 
  • Cylindrical and Spherical Coordinates 

VECTOR-VALUED FUNCTIONS 

  • Introduction to Vector-Valued Functions 
  • Calculus of Vector-Valued Functions 
  • Change of Parameter; Arc Length 
  • Unit Tangent, Normal, and Binormal Vectors 
  • Curvature 
  • Motion Along a Curve 
  • Kepler’s Laws of Planetary Motion

PARTIAL DERIVATIVES 

  • Functions of Two or More Variables 
  • Limits and Continuity 
  • Partial Derivatives 
  • Differentiability, Differentials, and Local Linearity 
  • The Chain Rule 
  • Directional Derivatives and Gradients 
  • Tangent Planes and Normal Vectors 
  • Maxima and Minima of Functions of Two Variables
  • Lagrange Multipliers 

MULTIPLE INTEGRALS 

  • Double Integrals 
  • Double Integrals over Nonrectangular Regions 
  • Double Integrals in Polar Coordinates 
  • Surface Area; Parametric Surfaces 
  • Triple Integrals 
  • Triple Integrals in Cylindrical and Spherical Coordinates 
  • Change of Variables in Multiple Integrals; Jacobians 
  • Centers of Gravity Using Multiple Integrals 

TOPICS IN VECTOR CALCULUS 

  • Vector Fields 
  • Line Integrals 
  • Independence of Path; Conservative Vector Fields 
  • Green’s Theorem 
  • Surface Integrals 
  • Applications of Surface Integrals; Flux 
  • The Divergence Theorem 
  • Stokes’ Theorem

Preface to Calculus Early Transcendentals PDF


This tenth edition of Calculus maintains those aspects of previous editions that have led to the series’ success—we continue to strive for student comprehension without sacrificing mathematical accuracy, and the exercise sets are carefully constructed to avoid unhappy surprises that can derail a calculus class.

All of the changes to the tenth edition were carefully reviewed by outstanding teachers comprised of both users and nonusers of the previous edition.

The charge of this committee was to ensure that all changes did not alter those aspects of the text that attracted users of the ninth edition and at the same time provide freshness to the new edition that would attract new users.

New in Calculus Early Transcendentals 10th Edition

1. Exercise sets have been modified to correspond more closely to questions in WileyPLUS. In addition, more WileyPLUS questions now correspond to specific exercises in the text.

2. New applied exercises have been added to the book and existing applied exercises have been updated.

3. Where appropriate, additional skill/practice exercises were added.

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