NOOK Study eTextbooks from Barnes & Noble are read with the NOOK Study eReader for your PC and Mac. Learn about NOOK Study
NOOK Study eTextbooks from Barnes & Noble are read with the NOOK Study eReader for your PC and Mac. Learn about NOOK Study
Anonymous
Posted March 7, 2007
If you are new to calculus and want to learn it thoroughly and in a way in which it is presented with outstanding graphics and practice problems, then this is the book for you. Seasoned cal verterans will also appreciate Mr. Larson's treatment of the 'mathematics of change'.
3 out of 3 people found this review helpful.
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Posted February 4, 2001
I am using this book in an AP BC Calculus class. The example problems are extremely helpful, however, there are several problems in each section that are more difficult than any of the example problems. They actually require a bit of thought. Otherwise, I think this book is pretty good. Oh, a bit of advice. There are CD's and Solutions guides that go along with this book. If you get the CD, you don't need the book or study guides at all; it has all the problems and solutions to odd number problems all on the CD. And if I remember correctly, the CD set was only $60 (through our campus store) as compared to a lot of money for the books. The solutions guide also leaves out some vital steps in explaining how the problems are done. Several times I have had to ask my teacher for extra help on a problem because the study guide didn't provide an adequate explanation for a solution.
1 out of 1 people found this review helpful.
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Posted August 19, 2002
This book was a great help my freshmen year of college. To the writers of this book, THANK YOU!!!!
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Posted August 11, 2002
This great book plus a great professor will be all you need to learn Calculus
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Posted June 4, 2002
This book is excellent. It covers a lot of meterial, and provides many proactical applications so students can actually use what they're learning. There are lots of though-provoking questions that ask you to solve real problems, instead of the usual mindless problem-answer with no real applications. This book is a wonderful resource with detailed explanations that provide the reader with a true understanding of the concepts discussed within the text.
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Posted November 29, 2001
This is, perhaps, the paradigmatic calculus book for experts and novices alike; giving clear, concise explanations, while not persistent in intimidating the reader. Very well done!
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Posted October 18, 2001
I know I can't cuss but I'm going to see if I can get away with it here. Well all I know that this book help math dummies like me learn Calculus. All I want to say it is a damn AWESOME BOOK. Every damn teacher should be using this book to teach students calculus. Any teacher that does not use this book as a textbook to teach it to its students is a dork. AWESOME BOOK!!!!! :)
0 out of 1 people found this review helpful.
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Posted November 6, 2001
this book was very clear cut and was very easy to follow along with
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Posted February 1, 2001
This book is a great tool for learning calculus. Although weak in some areas, it has challenging problems and explains the topics really well.
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Posted December 15, 2000
I would like all of you to enjoy the excitements in discovering calculus when you read this excellent calculus book. This is one of the best Calculus textbooks that I have seen.
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Posted December 6, 2000
This is a good tool when you understand calculus on the first hand. A good teacher will help a lot to use this book! Good luck in your calculus class!
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Posted August 23, 2000
this book is so in depth that i myself couldn't make it any better, the examples are so 'on the money' that an elementary student can learn this
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Posted July 2, 2000
A truly beautiful edition, though it goes much further in depth than I needed for my class. The graphics help a lot.
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More About This Textbook
Overview
Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the fourth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.
Product Details
Related Subjects
Meet the Author
Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2012 William Holmes McGuffey Longevity Award for PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet.)
Bruce Edwards has been a mathematics professor at the University of Florida since 1976. Dr. Edwards majored in mathematics at Stanford University, graduating in 1968. He then joined the Peace Corps and spent four years teaching math in Colombia, South America. He returned to the United States and Dartmouth in 1972, and he received his PhD. in mathematics in 1976. Dr. Edwards' research interests include the area of numerical analysis, with a particular interest in the so-called CORDIC algorithms used by computers and graphing calculators to compute function values. His hobbies include jogging, reading, chess, simulation baseball games, and travel.
Table of Contents
1. PREPARATION FOR CALCULUS. Graphs and Models. Linear Models and Rates of Change. Functions and Their Graphs. Fitting Models to Data. Inverse Functions. Exponential and Logarithmic Functions. 2. LIMITS AND THEIR PROPERTIES. A Preview of Calculus. Finding Limits Graphically and Numerically. Evaluating Limits Analytically. Continuity and One-Sided Limits. Infinite Limits. Section Project: Graphs and Limits of Trigonometric Functions. 3. DIFFERENTIATION. The Derivative and the Tangent Line Problem. Basic Differentiation Rules and Rates of Change. Product and Quotient Rules and Higher-Order Derivatives. The Chain Rule. Implicit Differentiation. Section Project: Optical Illusions. Derivatives of Inverse Functions. Related Rates. Newton's Method. 4. APPLICATIONS OF DIFFERENTIATION. Extrema on an Interval. Rolle's Theorem and the Mean Value Theorem. Increasing and Decreasing Functions and the First Derivative Test. Section Project: Rainbows. Concavity and the Second Derivative Test. Limits at Infinity. A Summary of Curve Sketching. Optimization Problems. Section Project: Connecticut River. Differentials. 5. INTEGRATION. Antiderivatives and Indefinite Integration. Area. Riemann Sums and Definite Integrals. The Fundamental Theorem of Calculus. Section Project: Demonstrating the Fundamental Theorem. Integration by Substitution. Numerical Integration. The Natural Logarithmic Function: Integration. Inverse Trigonometric Functions: Integration. Hyperbolic Functions. Section Project: St. Louis Arch. 6. DIFFERENTIAL EQUATIONS. Slope Fields and Euler's Method. Differential Equations: Growth and Decay. Differential Equations: Separation of Variables. The Logistic Equation. First-Order Linear Differential Equations. Section Project: Weight Loss. Predator-Prey Differential Equations. 7. APPLICATIONS OF INTEGRATION. Area of a Region Between Two Curves. Volume: The Disk Method. Volume: The Shell Method. Section Project: Saturn. Arc Length and Surfaces of Revolution. Work. Section Project: Tidal Energy. Moments, Centers of Mass, and Centroids. Fluid Pressure and Fluid Force. 8. Integration Techniques, L'Hôpital's Rule, and Improper Integrals. Basic Integration Rules. Integration by Parts. Trigonometric Integrals. Section Project: Power Lines. Trigonometric Substitution. Partial Fractions. Integration by Tables and Other Integration Techniques. Indeterminate Forms and L'Hôpital's Rule. Improper Integrals. 9. INFINITE SERIES. Sequences. Series and Convergence. Section Project: Cantor's Disappearing Table. The Integral Test and p-Series. Section Project: The Harmonic Series. Comparisons of Series. Section Project: Solera Method. Alternating Series. The Ratio and Root Tests. Taylor Polynomials and Approximations. Power Series. Representation of Functions by Power Series. Taylor and Maclaurin Series. 10. CONICS, PARAMETRIC EQUATIONS, AND POLAR COORDINATES. Conics and Calculus. Plane Curves and Parametric Equations. Section Projects: Cycloids. Parametric Equations and Calculus. Polar Coordinates and Polar Graphs. Section Project: Anamorphic Art. Area and Arc Length in Polar Coordinates. Polar Equations of Conics and Kepler's Laws. 11. VECTORS AND THE GEOMETRY OF SPACE. Vectors in the Plane. Space Coordinates and Vectors in Space. The Dot Product of Two Vectors. The Cross Product of Two Vectors in Space. Lines and Planes in Space. Section Project: Distances in Space. Surfaces in Space. Cylindrical and Spherical Coordinates. 12. VECTOR-VALUED FUNCTIONS. Vector-Valued Functions. Section Project: Witch of Agnesi. Differentiation and Integration of Vector-Valued Functions. Velocity and Acceleration. Tangent Vectors and Normal Vectors. Arc Length and Curvature. 13. FUNCTIONS OF SEVERAL VARIABLES. Introduction to Functions of Several Variables. Limits and Continuity. Partial Derivatives. Section Project: Moire Fringes. Differentials. Chain Rules for Functions of Several Variables. Directional Derivatives and Gradients. Tangent Planes and Normal Lines. Section Project: Wildflowers. Extrema of Functions of Two Variables. Applications of Extrema of Functions of Two Variables. Section Project: Building a Pipeline. Lagrange Multipliers. 14. MULTIPLE INTEGRATION. Iterated Integrals and Area in the Plane. Double Integrals and Volume. Change of Variables: Polar Coordinates. Center of Mass and Moments of Inertia. Section Project: Center of Pressure on a Sail. Surface Area. Section Project: Capillary Action. Triple Integrals and Applications. Triple Integrals in Cylindrical and Spherical Coordinates. Section Project: Wrinkled and Bumpy Spheres. Change of Variables: Jacobians. 15. VECTOR ANALYSIS. Vector Fields. Line Integrals. Conservative Vector Fields and Independence of Path. Green's Theorem. Section Project: Hyperbolic and Trigonometric Functions. Parametric Surfaces. Surface Integrals. Section Project: Hyperboloid of One Sheet. Divergence Theorem. Stoke's Theorem.