Essential Calculus Early Transcendentals Enhanced 1st Edition by James Stewart – Ebook PDF Instant Download/Delivery: 0538497394, 9780538497398
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ISBN 10: 0538497394
ISBN 13: 9780538497398
Author: James Stewart
The Enhanced Edition of Stewart’s Essential Calculus: Early Transcendentals is accompanied by an Enhanced WebAssign course, featuring thousands of additional algorithmic problems, stepped out solutions, and new learning tools for students. The Enhanced Edition also offers an online version of the textbook in the form of an eBook, giving students the opportunity to access their textbook from anywhere. Students have access to the Quick Start Guide for Enhanced WebAssign, which allows seamless transition from the original text to the enhanced book. This 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, ENHANCED EDITION offers a concise approach to teaching calculus that focuses on major concepts and supports those concepts with precise definitions, patient explanations, and carefully graded problems. Essential Calculus: Early Transcendentals, Enhanced edition contains almost all of the same topics as the large text. 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, ENHANCED EDITION 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.
Essential Calculus Early Transcendentals Enhanced 1st Table of contents:
Functions and Limits
1(72)
Functions and Their Representations
1(9)
A Catalog of Essential Functions
10(14)
The Limit of a Function
24(11)
Calculating Limits
35(10)
Continuity
45(11)
Limits Involving Infinity
56(17)
Review
69(4)
Derivatives
73(69)
Derivatives and Rates of Change
73(10)
The Derivative as a Function
83(11)
Basic Differentiation Formulas
94(12)
The Product and Quotient Rules
106(7)
The Chain Rule
113(8)
Implicit Differentiation
121(6)
Related Rates
127(6)
Linear Approximations and Differentials
133(9)
Review
138(4)
Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
142(56)
Exponential Functions
142(6)
Inverse Functions and Logarithms
148(12)
Derivatives of Logarithmic and Exponential Functions
160(7)
Exponential Growth and Decay
167(8)
Inverse Trigonometric Functions
175(6)
Hyperbolic Functions
181(6)
Indeterminate Forms and L’Hospital’s Rule
187(11)
Review
195(3)
Applications of Differentiation
198(53)
Maximum and Minimum Values
198(7)
The Mean Value Theorem
205(6)
Derivatives and the Shapes of Graphs
211(9)
Curve Sketching
220(6)
Optimization Problems
226(10)
Newton’s Method
236(5)
Antiderivatives
241(10)
Review
247(4)
Integrals
251(53)
Areas and Distances
251(11)
The Definite Integral
262(12)
Evaluating Definite Integrals
274(10)
The Fundamental Theorem of Calculus
284(9)
The Substitution Rule
293(11)
Review
300(4)
Techniques of Integration
304(53)
Integration by Parts
304(6)
Trigonometric Integrals and Substitutions
310(10)
Partial Fractions
320(8)
Integration with Tables and Computer Algebra Systems
328(5)
Approximate Integration
333(12)
Improper Integrals
345(12)
Review
354(3)
Applications of Integration
357(53)
Areas between Curves
357(5)
Volumes
362(11)
Volumes by Cylindrical Shells
373(5)
Arc Length
378(6)
Applications to Physics and Engineering
384(13)
Differential Equations
397(13)
Review
407(3)
Series
410(72)
Sequences
410(10)
Series
420(9)
The Integral and Comparison Tests
429(8)
Other Convergence Tests
437(10)
Power Series
447(5)
Representing Functions as Power Series
452(6)
Taylor and Maclaurin Series
458(13)
Applications of Taylor Polynomials
471(11)
Review
479(3)
Parametric Equations and Polar Coordinates
482(35)
Parametric Curves
482(6)
Calculus with Parametric Curves
488(8)
Polar Coordinates
496(8)
Areas and Lengths in Polar Coordinates
504(5)
Conic Sections in Polar Coordinates
509(8)
Review
515(2)
Vectors and the Geometry of Space
517(74)
Three-Dimensional Coordinate Systems
517(5)
Vectors
522(8)
The Dot Product
530(7)
The Cross Product
537(8)
Equations of Lines and Planes
545(8)
Cylinders and Quadric Surfaces
553(6)
Vector Functions and Space Curves
559(11)
Arc Length and Curvature
570(8)
Motion in Space: Velocity and Acceleration
578(13)
Review
587(4)
Partial Derivatives
591(72)
Functions of Several Variables
591(10)
Limits and Continuity
601(8)
Partial Derivatives
609(8)
Tangent Planes and Linear Approximations
617(8)
The Chain Rule
625(8)
Directional Derivatives and the Gradient Vector
633(11)
Maximum and Minimum Values
644(8)
Lagrange Multipliers
652(11)
Review
659(4)
Multiple Integrals
663(62)
Double Integrals over Rectangles
663(11)
Double Integrals over General Regions
674(8)
Double Integrals in Polar Coordinates
682(6)
Applications of Double Integrals
688(5)
Triple Integrals
693(10)
Triple Integrals in Cylindrical Coordinates
703(4)
Triple Integrals in Spherical Coordinates
707(6)
Change of Variables in Multiple Integrals
713(12)
Review
722(3)
Vector Calculus
725
Vector Fields
725(6)
Line Integrals
731(11)
The Fundamental Theorem for Line Integrals
742(9)
Green’s Theorem
751(6)
Curl and Divergence
757(8)
Parametric Surfaces and Their Areas
765(10)
Surface Integrals
775(11)
Stokes’ Theorem
786(5)
The Divergence Theorem
791
Review
797
Appendixes
1
Trigonometry
1(9)
Proofs
10(16)
Sigma Notation
26(5)
The Logarithm Defined as an Integral
31(8)
E Answers to Odd-Numbered Exercises
39(44)
Index
83
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