Conceptual understanding and technology are not neglected, though they are not as prominent as in Stewart's other books. Hardcover , pages. To see what your friends thought of this book, please sign up.
To ask other readers questions about Essential Calculus , please sign up. Lists with This Book. This book is not yet featured on Listopia. This is not a review per se so much as it is a piece of advice: Whether you are ethically required to compensate the publishers and the Stewart and Apostol estates at the current market rate is left as an exercise for the reader. At times I loved this book, at times I hated it, but it has consumed my life for the past couple months.
Overall, a good calculus text, but at times the organization and order of the chapters has seemed strange. A fairly good textbook in the hands of a good instructor. It did unfortunately lack the integration of inverse trig functions in chapter 5, which was disappointing. I'd recommend it though to a student with a thorough instructor. Were I stranded on a deserted island, this would keep me entertained and busy for quite some time.
Got me through calculus 1 2 and 3, and remains my calculus reference. Aug 26, Oliver rated it really liked it Recommended to Oliver by: This book is pretty solid. Solid calculus text book. Alanj rated it really liked it May 13, Richard rated it really liked it Sep 03, Shelby rated it really liked it Mar 20, John rated it really liked it Aug 15, Natasha Taylor rated it liked it Aug 06, Jonathan Martin rated it liked it Oct 21, Shea rated it really liked it Jul 15, Jake Petrovic rated it liked it Jan 06, James rated it liked it Jun 25, Kyle Avery rated it really liked it Oct 11, PDExperiment rated it it was ok Oct 07, Kocher rated it it was amazing Sep 16, The book is only pages--two-thirds the size of Stewart's other calculus texts, and yet it contains almost all of the same topics.
The author achieved this relative brevity primarily by condensing the exposition and by putting some of the features on the book's website, www. Despite the more compact size, the book has a modern flavor, covering technology and incorporating material to promote conceptual understanding, though not as prominently as in Stewart's other books.
Functions and Their Representations. A Catalog of Essential Functions. The Limit of a Function. Derivatives and Rates of Change. The Derivative as a Function. The Product and Quotient Rules.
Linear Approximations and Differentials. Inverse Functions and Logarithms. Derivatives of Logarithmic and Exponential Functions. Exponential Growth and Decay. Indeterminate Forms and l'Hospital's Rule. Maximum and Minimum Values. The Mean Value Theorem. Derivatives and the Shapes of Graphs. The Fundamental Theorem of Calculus.
Trigonometric Integrals and Substitutions. Integration with Tables and Computer Algebra Systems. Volumes by Cylindrical Shells.
Area of a Surface of Revolution. Applications to Physics and Engineering. The Integral and Comparison Tests. Representing Functions as Power Series. Taylor and Maclaurin Series. Applications of Taylor Polynomials. Calculus with Parametric Curves. Areas and Lengths in Polar Coordinates. Conic Sections in Polar Coordinates.
Equations of Lines and Planes. Cylinders and Quadric Surfaces. Vector Functions and Space Curves. Arc Length and Curvature. Functions of Several Variables. Tangent Planes and Linear Approximations. Directional Derivatives and the Gradient Vector. Double Integrals over Rectangles. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Triple Integrals in Cylindrical Coordinates.
Triple Integrals in Spherical Coordinates. Change of Variables in Multiple Integrals.
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