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Edward H. Courtenay has written: 'A treatise on the differential and integral calculus, and on the calculus of variations' -- subject(s): Accessible book, Calculus
Catherinus Putnam Buckingham has written: 'Elements of the differential and integral calculus' -- subject(s): Accessible book, Calculus
In my opinion, the best one out there is "The Humongous Book of Calculus Problems", by W. Michael Kelley. It contains one thousand questions from warm-up algebra to second year calculus. With each question he walks you through solving it, explaining why it works and providing a battery of explanations and tips. I learned a ~lot~ from that book, enjoyed it thoroughly, and recommend it to anyone who wants to learn calculus or take a refresher.
Madame Du Châtelet wrote Institutions of Physics.
Guido Stampacchia has written: 'On some regular multiple integral problems in the calculus of variations' -- subject(s): Accessible book
Calculus is mainly about limits, which in turn are used to calculate the slope of a line (known as the "derivative"; lots of applications for that), and to calculate the area under a curve (the "integral" - also lots of applications for that). For more details, read the Wikipedia article on "Calculus", or read an introductory book on calculus. As prerequisites, you should be well-acquainted with high-school algebra.
Calculus on Manifolds - book - was created in 1965.
It depends whether you mean the indefinite integral (also known as the antiderivative), or the definite integral. In initial calculus courses, you usually start with the indefinite integral.In any case, there is no quick way to explain this; several chapters of calculus books are dedicated to learning several different methods to solve integrals, and those methods don't work in all cases. In general, you need to go through a calculus course, or book, and learn those methods.
By taking the derivative of the velocity. You learn about derivatives in any introductory book on Calculus. a = dv/dt.
D. V. Widder was an American mathematician who is best known for his book "Advanced Calculus," which is a popular text on the subject. He also made significant contributions to the field of mathematical analysis.
Axel Harnack has written: 'An introduction to the study of the elements of the differential and integral calculus' -- subject(s): Accessible book, Calculus, Functions 'Die Grundlagen der Theorie des logarithmischen Potentiales und der eindeutigen Potentialfunktion in der Ebene' -- subject(s): Accessible book, Logarithms, Potential theory (Mathematics), Functions
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