## Essential Calculus: Early TranscendentalsThis book is a response to those instructors who feel that calculus textbooks are too big. In writing the book James Stewart asked himself:What is essential for a three-semester calculus course for scientists and engineers? Stewart's ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS offers a concise approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS is only 850 pages-two-thirds the size of Stewart's other calculus texts (CALCULUS, Fifth Edition and CALCULUS, EARLY TRANSCENDENTALS, Fifth Edition)-yet it contains almost all of the same topics. The author achieved this relative brevity mainly by condensing the exposition and by putting some of the features on the website www.StewartCalculus.com. Despite the reduced size of the book, there is still a modern flavor: Conceptual understanding and technology are not neglected, though they are not as prominent as in Stewart's other books. ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS has been written with the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart's textbooks the best-selling calculus texts in the world. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. |

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#### Review: Essential Calculus

User Review - Yosef - GoodreadsGot me through calculus 1 2 and 3, and remains my calculus reference. Read full review

#### Review: Essential Calculus

User Review - Travis - GoodreadsA 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. Read full review

### Contents

Functions and Limits | 1 |

Derivatives | 73 |

Inverse Functions Exponential Logarithmic and Inverse Trigonometric Functions | 142 |

Applications of Differentiation | 198 |

Integrals | 251 |

Techniques of Integration | 304 |

Applications of Integration | 357 |

Series | 410 |

Partial Derivatives | 591 |

Multiple Integrals | 663 |

Vector Calculus | 725 |

Trigonometry | A-1 |

Proofs | A-10 |

Sigma Notation | A-26 |

The Logarithm Defined as an Integral | A-31 |

Answers to OddNumbered Exercises | A-39 |

### Common terms and phrases

2007 Thomson Learning angle antiderivative approximation axis calculator Chain Rule computer algebra system constant convergent coordinates Copyright 2007 Thomson curve cylinder defined definition differentiable distance divergent domain double integral dy dx estimate evaluate EXAMPLE Exercise F dr FIGURE 9 Find the volume formula fx dx fx fx fx tx fx,y given horizontal intersection interval length lim nl lim x l limit line integral Maclaurin series maximum Mean Value Theorem parabola parametric equations partial derivatives plane polar polynomial positive radius rate of change rectangle region Riemann sum Rights Reserved Section shown in Figure shows Sketch the graph slope solid SOLUTION surface tangent line tion Value Theorem variables vector field velocity vertical write