THOMAS CALCULUS 14TH EDITION BOOK

Thomas' Calculus, 14th Edition is a comprehensive textbook designed for students pursuing courses in mathematics, engineering, or science. Authored by Joel Hass, Christopher Heil, and Maurice D. Weir, this edition aims to develop mathematical proficiency through clear explanations, relevant applications, and generalized concepts. ​
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Key Features:

Clarity and Precision: The text balances intuitive explanations with rigorous mathematical concepts, facilitating a deeper understanding of calculus. ​
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Updated Content: With contributions from Christopher Heil of Georgia Institute of Technology, the 14th edition has been meticulously revised to enhance clarity and relevance for contemporary students. ​
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Comprehensive Coverage: The textbook covers a wide range of topics essential for a three-semester or four-quarter calculus course. ​
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Table of Contents:

Functions​

Functions and Their Graphs​
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Combining Functions; Shifting and Scaling Graphs​
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Trigonometric Functions​
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Graphing with Software​
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Limits and Continuity​
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Rates of Change and Tangent Lines to Curves​
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Limit of a Function and Limit Laws​
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The Precise Definition of a Limit​
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One-Sided Limits​
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Continuity​
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Limits Involving Infinity; Asymptotes of Graphs​
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Derivatives​

Tangent Lines and the Derivative at a Point​
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The Derivative as a Function​
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Differentiation Rules​
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The Derivative as a Rate of Change​
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Derivatives of Trigonometric Functions​
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The Chain Rule​
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Implicit Differentiation​

Related Rates​
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Linearization and Differentials​
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Applications of Derivatives​
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Extreme Values of Functions on Closed Intervals​
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The Mean Value Theorem​
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Monotonic Functions and the First Derivative Test​
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Concavity and Curve Sketching​
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Applied Optimization​
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Newton’s Method​

Antiderivatives​

Integrals​

Area and Estimating with Finite Sums​

Sigma Notation and Limits of Finite Sums​

The Definite Integral​

The Fundamental Theorem of Calculus​

Indefinite Integrals and the Substitution Method​

Definite Integral Substitutions and the Area Between Curves​

Applications of Definite Integrals​

Volumes Using Cross-Sections​

Volumes Using Cylindrical Shells​

Arc Length​

Areas of Surfaces of Revolution