download Calculus with Analytic Geometry - 1st Edition. Print Book & E-Book. ISBN , Calculus and Analytic Geometry book. Read 23 reviews from the world's largest community for readers. A calculus textbook containing exercises and problem. Comprised of 18 chapters, this book begins with a review of some basic pre- calculus algebra and analytic geometry, paying.
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Fluid Pressure 6. Miscellaneous Applications 7. Miscellaneous Exercises 7. Inverse Functions 1. Inverse Functions and Their Derivatives 2. The Logarithm Function 3.
Further Properties of Logarithms 4. Applications of Logarithms 5. Inverse Trigonometric Functions 6. Derivatives and Applications 7. Hyperbolic Functions 8. Basic Properties 9. Miscellaneous Exercises 8. Techniques of Integration 1. Indefinite Integrals 2. Substitutions and Differentials 3.
Other Substitutions 4. Use of Identities 5. Partial Fractions 6.
Trigonometric Substitutions 7. Integration by Parts 8. Reduction Formulas 9. Integral Tables Miscellaneous Exercises 9.
Plane Analytic Geometry 1. Translation and Circles 2. Locus 3. Parabola and Ellipse 4. Hyperbola 5. Polar Coordinates 6. Polar Graphs 7. Rotation of Axes 8. Calculus Applied to Conics 9.
Miscellaneous Exercises Approximation 1. First and Second Degree Approximations 3. Taylor Approximations 4. Taylor's Formula 5. Rolle's Theorem 6. Mean Value Theorems and Lhospital's Rule 7. Interpolation 8. Lagrange Interpolation 9. Approximate Integration Root Approximation and Hill Climbing Iteration and Newton's Method Convergence 1.
Sequences and Limits 2. Properties of Limits 3. Infinite Series 4.
ISBN 13: 9780471094432
Series with Positive Terms 5. Series with Positive and Negative Terms 6. Improper Integrals 7. Convergence and Divergence Tests 8.
Relation between Integrals and Series 9. Other Improper Integrals Power Series 1. Basic Properties 2. Taylor Series 3. Expansion of Functions 4. Further Techniques 5.
Calculus With Analytic Geometry
Binomial Series 6. Numerical Applications 7. Sequences and Series of Functions 8.
Space Geometry and Vectors 1. Rectangular Coordinates 2. Vector Algebra 3. Length and Inner Product 4. Lines and Planes 5. Linear Systems 6. Cross Poduct 7. Applications of the Cross Product 8. Vector Functions and Curves 1. Differentiation 2.
Arc Length 3. Plane Curves 4.
Tangent, Normal, and Curvature 5. Velocity and Acceleration 6. Curves in Polar Coordinates 7. Functions of Several Variables 1. Functions and Graphs 2. Partial Derivatives 3. Gradients and Directional Derivatives 4.
Surfaces 5. Parametric Surfaces and Surfaces of Revolution 6. Quadric Surfaces 7. Optimization 8. Further Optimization Problems 9. Implicit Functions Differentials and Approximation Higher Partials and Applications 1.
Mixed Partials 2. Taylor Approximation 3. Stability 4. Constrained Optimization 5. Further Constraint Problems 6. Additional Topics 7. Double Integrals 1. Rectangular Domains 3. Domain between Graphs 4.
Arbitrary Domains 5. Applications 7. Physical Applications 8. Approximate Integration 9. Multiple Integrals 1. Triple Integrals 2. Cylindrical Coordinates 3. Spherical Coordinates 4. Center of Gravity 5. Moments of Inertia 6. More Details Original Title. Other Editions Friend Reviews.
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Community Reviews. Showing Rating details. More filters. Sort order. Uses applications in science and engineering to demonstrate the concepts learned.
The text has little biographies of people that did mathematical things strewn throughout and multiple worked examples. The book uses lots of computer-generated graphics and other things. I would say it is an excellent reference as well since it has tables of derivatives and integrals in the book along with answers to odd-numbered exercises. This particular text covers topics ranging from beginning limits to vector c Uses applications in science and engineering to demonstrate the concepts learned.
This particular text covers topics ranging from beginning limits to vector calculus. So it obviously builds on what was learned.
Just in case you never had it, it also covers some Precalculus in the very beginning of the book. The text also contains little projects that people can do to demonstrate the ideas taught.
I got this book for College so I can't remember the last time I cracked it open. In any case, I guess it is good that I didn't get rid of it. The only real problem is that the book seems to be a bit 'busy' if you will forgive the expression. With all of the little images and biographies and pictures it sometimes gets distracting. Mar 30, LocoErasmo rated it it was amazing. Muchos ejemplos.
Jul 09, Kristen rated it it was amazing Shelves: Limits are definitely an allegory for other things. Fantastic Math. Darshan Lamichhane rated it it was amazing Jun 23, Arnob rated it it was amazing Mar 04, Mike Fitch rated it really liked it Dec 11, Jason rated it it was amazing Dec 11, Miguel rated it it was ok Dec 28, Steve Hanna rated it really liked it Feb 28, Richard rated it really liked it Sep 03, Grant Cordon rated it it was amazing Sep 22, William Macias rated it it was amazing Apr 10, Arup Sutradhar rated it really liked it Feb 11, Geeta Thanedar rated it really liked it Dec 06, Rachelle rated it liked it Nov 03, Cathiiee Garcia rated it really liked it Nov 19, Jon rated it liked it Jun 15, Kelly Nicola added it Dec 01, Differentiable Functions In any case, I guess it is good that I didn't get rid of it.
Derivatives 1. This particular text covers topics ranging from beginning limits to vector c Uses applications in science and engineering to demonstrate the concepts learned. Malik Usman rated it it was amazing Oct 25, Enlarge cover. The emphasis is on how to set up and solve calculus problems, that is, how to apply calculus. At other times, people would approach us with bits and pieces of information that they remembered from long ago favourites in hopes that we could at least help them come up with an author or title to help in their search, which we often times did, with the book in hand.
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