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**About this book :- **
** Calculus A New Horizon Combined, 6E ** 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
** Download this book from Amazon **

**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, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

**• Download PDF Applied Finite Mathematics, 2E by Howard Anton, Bernard Kolman **

**• Download PDF Mathematics with Applications, 2E by Howard Anton, Bernard Kolman **

**• Download PDF Calculus Early Transcendentals, 10E by Howard Anton, Irl Bivens, Stephen Davis" **

**• Download PDF Calculus Early Transcendentals 10E, Solution Manual by Howard Anton, Bivens, Davis" **

**• Download PDF Calculus A New Horizon, 6E by Howard Anton" **

**• Download PDF Calculus AP, 11E by Howard Anton, Irl C. Bivens" **

**• Download PDF CliffsQuickReview Calculus by Howard Anton, Bernard Zandy, Jonathan White" **

**• Download PDF Contemporary Linear Algebra by Howard Anton, Robert C. Busby **

**• Download PDF Contemporary Linear Algebra, Solutions Manual by Howard Anton, Robert C. Busby **

**• Download PDF Elementary Linear Algebra with Applications, 9E by Howard Anton, Chris Rorres **

**• Download PDF Elementary Linear Algebra with Applications, 9E, Solutions Manual by Howard Anton, Chris Rorres **

**• Download PDF Elementary Linear Algebra, 10E by Howard Anton, Chris Rorres **

**• Download PDF Elementary Linear Algebra, 11E by Howard Anton, Chris Rorres **

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**Book Contents :- **
** Calculus A New Horizon Combined, 6E ** 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

**Note:-**

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