Name: Thomas' Calculus: Early Transcendentals (14th Edition)
Author: Joel R. Hass, Christopher E. Heil, Maurice D. Weir
ISBN: 9780134439020

Chapter 1 - Functions Chapter 1.1 - Functions And Their Graphs Chapter 1.2 - Combining Functions; Shifting And Scaling Graphs Chapter 1.3 - Trigonometric Functions Chapter 1.4 - Graphing With Software Chapter 1.5 - Exponential Functions Chapter 1.6 - Inverse Functions And Logarithms Chapter 2 - Limits And Continuity Chapter 2.1 - Rates Of Change And Tangent Linea To Curves Chapter 2.2 - Limit Of A Function And Limit Laws

Chapter 2.3 - The Precise Definition Of A Limit Chapter 2.4 - One-sided Limits Chapter 2.5 - Continuity Chapter 2.6 - Limits Involving Infinity; Asymptotes Of Graphs Chapter 3 - Derivatives Chapter 3.1 - Tangent Lines And The Derivative At A Point Chapter 3.2 - The Derivative As A Function Chapter 3.3 - Differentiation Rules Chapter 3.4 - The Derivative As A Rate Of Change Chapter 3.5 - Derivatives Of Trigonometric Functions Chapter 3.6 - The Chain Rule Chapter 3.7 - Implicit Differentiation Chapter 3.8 - Derivatives Of Inverse Functions And Logarithms Chapter 3.9 - Inverse Trigonometric Functions Chapter 3.10 - Related Rates Chapter 3.11 - Linearization And Differentials Chapter 4 - Application Of Derivatives Chapter 4.1 - Extreme Values Of Functions On Closed Intervals Chapter 4.2 - The Mean Value Theorem Chapter 4.3 - Monotonic Functions And The First Derivative Test Chapter 4.4 - Concavity And Curve Sketching Chapter 4.5 - Indeterminate Forms And L'hopital's Rule Chapter 4.6 - Applied Optimization Chapter 4.7 - Newton's Method Chapter 4.8 - Antiderivatives Chapter 5 - Integrals Chapter 5.1 - Area And Estimating With Finite Sums Chapter 5.2 - Sigma Notation And Limits Of Finite Sums Chapter 5.3 - The Definite Integral Chapter 5.4 - The Fundamental Theorem Of Calculus Chapter 5.5 - Indefinite Integrals And The Substitution Method Chapter 5.6 - Definite Integral Substitutions And The Area Between Curves Chapter 6 - Applications Of Definite Integrals Chapter 6.1 - Volumes Using Cross-sections Chapter 6.2 - Volumes Using Cylindrical Shells Chapter 6.3 - Arc Length Chapter 6.4 - Areas Of Surfaces Of Revolution Chapter 6.5 - Work And Fluid Forces Chapter 6.6 - Moments And Centers Of Mass Chapter 7 - Integrals And Trascendental Functions Chapter 7.1 - The Logarithm Defined As Ana Integral Chapter 7.2 - Exponential Change And Separable Differential Equations Chapter 7.3 - Hyperbolic Functions Chapter 7.4 - Relative Rates Of Growth Chapter 8 - Techniques Of Integration Chapter 8.1 - Using Basic Integration Formulas Chapter 8.2 - Integration By Parts Chapter 8.3 - Trigonometric Integrals Chapter 8.4 - Trigonometric Substitutions Chapter 8.5 - Integration Of Rational Functions By Partial Fractions Chapter 8.6 - Integral Tables And Computer Algebra Systems Chapter 8.7 - Numerical Integration Chapter 8.8 - Improper Integrals Chapter 8.9 - Probability Chapter 9 - First-order Differential Equations Chapter 9.1 - Solutions, Slope Fields, And Euler's Method Chapter 9.2 - First-order Linear Equations Chapter 9.3 - Applications Chapter 9.4 - Graphical Solutions Of Autonomous Equations Chapter 9.5 - Systems Of Equations And Phase Planes Chapter 10 - Infinite Sequences And Series Chapter 10.1 - Sequences Chapter 10.2 - Infinite Series Chapter 10.3 - The Integral Test Chapter 10.4 - Comparison Tests Chapter 10.5 - Absolute Convergence; The Ratio And Root Tests Chapter 10.6 - Alternating Series And Conditional Convergence Chapter 10.7 - Power Series Chapter 10.8 - Taylor And Maclaurin Series Chapter 10.9 - Convergence Of Taylor Series Chapter 10.10 - Applications Of Taylor Series Chapter 11 - Parametric Equations And Polar Coordinates Chapter 11.1 - Parametrizations Of Plane Curves Chapter 11.2 - Calculus With Parametric Curves Chapter 11.3 - Polar Coordinates Chapter 11.4 - Graphing Polar Coordinate Equations Chapter 11.5 - Areas And Lengths In Polar Coordinates Chapter 11.6 - Conic Sections Chapter 11.7 - Conics In Polar Coordinates Chapter 12 - Vectors And The Geometry Of Space Chapter 12.1 - Three-dimensional Coordinate Systems Chapter 12.2 - Vectors Chapter 12.3 - The Dot Product Chapter 12.4 - The Cross Product Chapter 12.5 - Lines And Planes In Space Chapter 12.6 - Cylinders And Quadratic Surfaces Chapter 13 - Vector-valued Functions And Motion In Space Chapter 13.1 - Curves In Space And Their Tangents Chapter 13.2 - Integrals Of Vector Functions; Projectile Motion Chapter 13.3 - Arc Length In Space Chapter 13.4 - Curvature And Normal Vectors Of A Curve Chapter 13.5 - Tangential And Normal Vectors Of A Components Of Acceleration Chapter 13.6 - Velocity And Acceleration In Polar Coordinates Chapter 14 - Partial Derivatives Chapter 14.1 - Functions Of Several Variables Chapter 14.2 - Limits And Continuity In Higher Dimensions Chapter 14.3 - Partial Derivatives Chapter 14.4 - The Chain Rule Chapter 14.5 - Directional Derivatives And Gradient Vectors Chapter 14.6 - Tangent Planes And Differentials Chapter 14.7 - Extreme Values And Saddle Points Chapter 14.8 - Lagrange Multipliers Chapter 14.9 - Taylor's Formula For Two Variables Chapter 14.10 - Partial Derivatives With Constrained Variables Chapter 15 - Multiple Integrals Chapter 15.1 - Double And Iterated Integrals Over Rectangles Chapter 15.2 - Double Integrals Over General Regions Chapter 15.3 - Area By Double Integration Chapter 15.4 - Double Integrals In Polar Form Chapter 15.5 - Triple Integrals In Rectangular Coordinates Chapter 15.6 - Applications Chapter 15.7 - Triple Integrals In Cylindrical And Spherical Coordinates Chapter 15.8 - Substitution In Multiple Integrals Chapter 16 - Integrals And Vector Fields Chapter 16.1 - Line Integrals Of Scalar Functions Chapter 16.2 - Vector Fields And Line Integrals: Work, Circulation, And Flux Chapter 16.3 - Path Independence, Conservative Fields, And Potential Functions Chapter 16.4 - Green's Theorem In The Plane Chapter 16.5 - Surfaces And Area Chapter 16.6 - Surface Integrals Chapter 16.7 - Stokes' Theorem Chapter 16.8 - The Divergence Theorem And A Unified Theory Chapter 17.1 - Second-order Linear Equations Chapter 17.2 - Nonhomogeneous Linear Equations Chapter 17.3 - Applications Chapter 17.4 - Euler Equations Chapter 17.5 - Power-series Solutions Chapter A.1 - Real Numbers And The Real Line Chapter A.2 - Mathematical Induction Chapter A.3 - Lines, Circles, And Parabolas Chapter A.4 - Proofs Of Limit Theorems Chapter A.7 - Complex Numbers

Book Details

For three-semester or four-quarter courses in Calculus for students majoring in mathematics, engineering, or science. Clarity and precision. Thomas' Calculus: Early Transcendentals helps students reach the level of mathematical proficiency and maturity you require, but with support for students who need it through its balance of clear and intuitive explanations, current applications, and generalized concepts. In the 14th Edition, new co-author Christopher Heil (Georgia Institute of Technology) partners with author Joel Hass to preserve what is best about Thomas' time-tested text while reconsidering every word and every piece of art with today's students in mind. The result is a text that goes beyond memorizing formulas and routine procedures to help students generalize key concepts and develop deeper understanding.