Calculus A New Horizon Combined (6th Edition) by Howard Anton
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About this book :-
Calculus A New Horizon Combined (6th Edition) written by
Howard Anton .
The this eition of Anton's Calculus is a contemporary text that incorporates the best features of calculus reform, yet preserves the main structure of an established, traditional calculus text. This book is intended for those who want to move slowly into the reform movement. The new edition retains its accessible writing style and a high standard of mathematical precision.
In preparing for this edition, the author sought advice fiom outstanding teachers at a wide variety of institutions. Needless to say, I received a diversity of opinioDs-some leviewers advised against any major changes, arguing that the book was already clearly written and wo|king well in the classroom, while others felt that major changes were required to ircorporate technology and rnake the book more contemporary. I listened carelully, and the lively discussions that followed hclped me formulate my pbilosophy for the new edition. Many of the specific changes are itemized in the pretace, but here are some of the general goals:
. Add graphing calculator and CAS materials to the text in a way that will allow students who have rhose roois ro use them but that will not prevent tbe text from being used by those students who do not have access to that technology.
. Place more emphasis on mathematical modeling and appiications.
. Incorporate new examples and exercises that will be neaningf'ul to today's students and will more accurately convey the role of caiculus in the real world.
. Widen the variety of exercises to focus ntore on conceptual understandilrg through coniecture, multistep anaiysis, expository writing. and what-if anaiysis.
Book Detail :-
Title: Calculus A New Horizon Combined
Edition: 6th
Author(s): Howard Anton
Publisher: John Wiley & Sons Inc, Year
Series:
Year: 1998
Pages: 1302
Type: PDF
Language: English
ISBN: 9780471153061,0471153060
Country: US
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About Author :-
The author Howard Anton obtained his B.A. trom Lehigh University, his M.A. from the Univelsity of Illinois, and his Ph.D. from the Polytechnic University of Brooklyn, all in mathematics. In the early 1960s he workecl for Burroughs Corporation and Avco Corporation at Cape Canaveral, Florida, where he was involved with missile tracking problcms for the manned space program. In 1968 he joined the Mathematics Department at Drexel University, where hc taught full time until 1983. Since that time he has been an adjunct professor at Drexel and has devoted the majority oi his time to textbook writing and acriviries for mathematica] associations.
Dr. Anton was President of the Epentl Seclion of the Mathematical Association of America (MAA), served on the board of Governors of that organization, and guided the creation of thc Student Chapters of the MAA. He has published numerous research papers in Functional Analysis, Approximation Theory, and Topology, as well as pedagogical papers on applications of mathematics. He is best known lbr his textbooks in mathematics, which are among the most widely used in the world. There are currentJy more than ninety versions of his books, including translations into Spanish, Arabic, PortugLLese, Italian, Indonesian. French, Japanese, Chinese. Hebrew, and German. Dr. Anton has an avid interest in computer technology as it relates to mathematical education rnd publishing. He has devcloped pedagogical software fbr teaching calculus and linear algebra as well as various sofiware programs for the publishing industry that automate the production ol'fbur color mathenatical text and art. For relaxation he enjoys traveling and photography.
All Famous Books of this Author :-
Here is list all books avaliable of this author.
1. Calculus Early Transcendentals (10th Edition) by Howard Anton, Irl Bivens, Stephen Davis
2. Calculus A New Horizon Combined (6th Edition) by Howard Anton
3. Elementary Linear Algebra Applications Version by Howard Anton and Chris Rorres
4. Elementary Linear Algebra (10th Edition) by Howard Anton, Chris Rorres
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Book Contents :-
Calculus A New Horizon Combined (6th Edition) written by
Howard Anton
cover the following topics.
1. Functions
1.1 Functions and the Analysis of Graphical lnformation
1.2 Properties of Functions
1.3 Graphing Functions on Calculators and Computers; Computer Algebra Systems
1.4 New Functions {rom Old
1.5 Mathematical Models; Linear Models
1.6 Families of Functions
1.7 ParametricEquations
Horizon Module: lteration and Dynamical Systems
2. Limit and AND Continuity
2.1 Limits (An lntuitive lntroduction)
2.2 Limits(ComputationalTechniques)
2.3 Limits (Discussed More Rigorously)
2.4 Continuity
2.5 Limits and Continuity of Trigonometric Functions
3. The Derivative
3.1 Tangent Lines and Rates of Change
3.2 The Derivative
3.3 Techniques of.Differentiation
3.4 Derivatives of Trigonometric Functions
3.5 The Chain Rule
3.6 Local LinearApproximation; Differentials
Horizon Module e: Robotics
4. Logarithmic and Exponential Funtions
4.1 lnverse Functions
4.2 Logarithmic and Exponential Functions
4.3 lmplicitDifferentiation
4.4 Derivatives of Logarithmic and Exponential Functions
4.5 Derivatives of Inverse Trigonometric Functions
4.6 Related Rates
4.7 L Hopital s Rule; lndeterminate Forms
5. Analysis of Functions and their Graphs
5.1 Analysis of Functions l: lncrease, Decrease, and Concavity
5.2 Ana ysis of Functions ll: Relative Extrema; First and Second Derivative Tests
5.3 Analysis of Functions lll: Applying Technology and the Tools of Calculus
5.4 Horizontal Module: Functions from Data
6. Application of the derivative
6.1 Absolute Maxima and Minima
6.2 Applied Maximum and Minimum Problems
6.3 Rectilinear Motion (Motion Along a Line)
6.4 Newton's Method
6.5 Rolle s Theorem; Mean-Value Theorem
7. Integration
7.1 An Overview of the Area Problem
7.2 The lndefinite lntegral; lntegral Curves and Direction Fields
7.3 lntegration by Substitution
7.4 Sigma Notation
7.5 The Definite lntegral
7.6 The Fundamental Theorem of Calculus
7.7 Rectilinear Motion Revisited; Average Value
7.8 Evaluating Definite lntegrals by Substitution
7.9 Logarithmic Functions from the lntegral Pojnt of View
7.10 Hor zon Module: Blammo the Human Cannonbal
8. Application of Definite Integral in Geometry and Science and Engineering
8.1 Area Between Two Curves
8.2 Volumes by Slicing; Disks and Washers
8.3 Volumes by Cyhndrrcal Shells
8.4 Length o{ a Plane Curve
8.5 Area of a Surface of Revolution
8.6 Work
8.7 Fluid Pressure and Force
8.8 Hyperbolic Functions and Hanging Cables
9. Principle of Integral Equations
9.1 An Overview of lntegration Methods
9.2 lntegration by Parts 516
9.3 Trigonometriclntegrals
9.4 Trigonometric Substitutions
9.5 lntegrating Rational Functions by Partial Fractions
9.6 Using Tables of lntegrals and Computer Algebra Systems
9.7 Numerical lntegration; Simpson's Rule
9.8 lmproper lntegrals
9.9 Honzil [,'locLr e Ri rl::r] les gn
10. Mathematical Methods with Differential Equations
10.1 Frrst-Order Differential Equations and Applications
10.2 Direction Fields; Euler's Method
10.3 Modeling with Differential Equations
11. Infinite Series
11.1 Sequences
11.2 Monotone Sequences
11.3 lnfinite Series
11.4 Convergence Tests
1i.5 Taylor and Maclaurin Series
1i.6 The Comparison, Ratio, and Root Tests
11.7 Alternating Series; Conditional Convergence
11.8 Power Series
11.9 Convergence of Taylor Series; Computational Methods
11.10 Differentiating and Integrating Power Series; Modeling with Taylor Series
12 Analytical Geometry in Calculus
12.1 Polar Coordinates
12.2 Tangent Lines and Arc Length for Parametric and Polar Curves
12.3 Area in Polar Coordinates
12.4 Conic Sectrons in Calculus
12.5 Conic Sectrons in Polar Coordinates
12.6 Horizon Module: Comet Col sion
13. Three-Dimentional Space; Vectors
13.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces
13.2 Vectors
13.3 Dot Product; Projections
13.4 Cross Product
13.5 Parametrjc Equations of Lines
13.6 Planes in 3-Space
13.7 Quadric Surfaces
13.8 Cylindr cal and Spherical Coordinates
14. Vector Values Functions
l4.l lntroduction to Vector-Valued Functions
14.2 Calculus of Vector-Valued Functions
14.3 Change of Parameter; Arc Length
14.4 Unit Tangent, Normal, and Binormal Vectors
14.5 Curvature
14.6 lVotion Along a Curve
14.7 Kepler's Laws o{ Planetary lVotion
15. Partial Derivative
15.1 Functions of Two or More Variables
15.2 Limits and Continuity
15.3 Partial Derivatives
15.4 Differentiability and Chain Rules
15.5 Tangent Planes; Total Differentials for Functrons of Two Variables
15.6 Directional Derivatives and Grad ents for Functions of Two Variables
15.7 Differentiability, Directional Derivatives, and Gradients for Functions of Three or More Variables
15.8 Maxima and Minima of Functions o{ Two Variables
15.9 Lagrange Multipllers
16. Multiple Integral
16.1 Double lntegrals
16.2 Double lntegrals over Nonrectangular Regions 985 f6.3 Double lntegrals in Polar Coordinates
16.4 Parametric Surfacesi Surface Area
16.5 Triple lntegrals
16.6 Centroid, Center of Gravity, Theorem of Pappus
16.7 Triple lntegrals in Cylindrical and Spherical Coordinates
16.8 Change ot Variables in lVlultiple Integrals; Jacobians
17. Topics in vector Calculus
17.l Vector Fields
17.2 Line lntegrals
17.3 lndependence of Path; Conservative Vector Fields
17.4 Green's Theorem
17.5 Surface Integrals
17.6 Applications of Surface Integrals; Flux
17.7 The Divergence Theorem
17.8 Stokes' Theorem
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