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Description
Essential Calculus with ApplicationsCalculus is an extremely powerful tool for solving a host of practical problems in fields as diverse as physics, biology, and economics, to mention just a few. In this rigorous but accessible text, a noted mathematician introduces undergraduate level students to the problem solving techniques that make a working knowledge of calculus indispensable for any mathematician. The author first applies the necessary mathematical background, including sets,
Calculus is an extremely powerful tool for solving a host of practical problems in fields as diverse as physics, biology, and economics, to mention just a few. In this rigorous but accessible text, a noted mathematician introduces undergraduate-level students to the problem-solving techniques that make a working knowledge of calculus indispensable for any mathematician.The author first applies the necessary mathematical background, including sets, inequalities, absolute value, mathematical induction, and other "precalculus" material. Chapter Two begins the actual study of differential calculus with a discussion of the key concept of function, and a thorough treatment of derivatives and limits. In Chapter Three differentiation is used as a tool; among the topics covered here are velocity, continuous and differentiable functions, the indefinite integral, local extrema, and concrete optimization problems. Chapter Four treats integral calculus, employing the standard definition of the Riemann integral, and deals with the mean value theorem for integrals, the main techniques of integration, and improper integrals. Chapter Five offers a brief introduction to differential equations and their applications, including problems of growth, decay, and motion. The final chapter is devoted to the differential calculus of functions of several variables.
Numerous problems and answers, and a newly added section of "Supplementary Hints and Answers," enable the student to test his grasp of the material before going on. Concise and well written, this text is ideal as a primary text or as a refresher for anyone wishing to review the fundamentals of this crucial discipline.
Binding Type: Paperback
Publisher: Dover Publications
Published: 08/01/1989
ISBN: 9780486660974
Pages: 320
Weight: 0.88lbs
Size: 9.19h x 6.13w x 0.63d
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4.3 ★★★★★
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Product Reviews
★★★★★ 4
Nice brackets
Size: 11.25 Inch, Number of Items: 8, Size: 11.25 Inch, Number of Items: 8
The brackets look great and fit a 1x12 board perfectly. They've been installed for a few days and seem to be sturdy.
So far, the only negative is the hardware, as other reviewers have mentioned. Initially, I had some trouble locating the stud and decided to use the drywall anchors. I got one bracket installed and the anchor was already pulling out of the wall.
Overall, I think the brackets are great, but just use your own screws and drywall anchors (if needed).
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Reviewed in the United States on February 11, 2023
★★★★★ 5
Strong brackets
Size: 9.25 Inch, Number of Items: 8
Solid and sturdy.
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Reviewed in the United States on June 1, 2026
★★★★★ 5
Well made. Sturdy.
Size: 7.25 Inch, Number of Items: 6, Size: 7.25 Inch, Number of Items: 6
I bought these for an alcove. The brackets came in great condition. I didnt notice any scratched.
Mounting… the brackets are not centered on the wall, but are centered on the studs. I cant do anything about the stud placement.
I bought a 2x8x10 board and cut it into 40 in sections. After placing the brackets on the wall the boards fit beautifully in place. (I used the long stud screws that came with the brackets)
I havent screwed the boards to the wall (those screws also included) and may not. I like being able to pull a board out and run cables behind, if needed. I think the boards are sturdy enough that I wont have an issue with tipping, since the right most stud is at the corner of the wall.
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Reviewed in the United States on September 13, 2022
★★★★★ 5
Great for the price
Size: 9.25 Inch, Number of Items: 6
This 10" Shelf Brackets come with all different kind of hardware to install. For drywall, concrete, wood, very smart idea from the seller. You don't have to run to a hardware store for that. I thought it was fantastic idea to help the customer. The Brackets look very strong and finish is great.
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Reviewed in the United States on August 7, 2023
★★★★★ 5
Very heavy duty shelf brackets. Good quality.
Size: 9.25 Inch, Number of Items: 6
When they say Heavy duty they mean it!! These brackets are very strong. I would use them to hold a large shelf maybe even one that is wide like 4 inches. Not suitable for what I was envisioning. I just need a simple lightweight shelf and this is way to heavy. Will need to attach to stud or use an anchor. I should have paid closer attention to the description. These come with different types of anchors and one even says it can be used on brick. I believe it.
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Reviewed in the United States on December 28, 2020