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worldwide differential calculus david b massey [pdf]

Worldwide Integral Calculus with infinite series by David Massey

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About this book :-
Worldwide Integral Calculus with infinite series written by David B. Massey with select exercises and answers by Gabriel Merton and Ryan Malloy, select illustrations by Eugene Saletan, and select video solutions by Michael Garcia and Ryan Malloy. This discussion of definite integrals, and their applications, is fairly traditional. However, this approach to infinite series is somewhat unusual. this approach is motivated by two factors. First, it is believe that the primary use that students will have for infinite series, outside of a Calculus class, is that many important functions have convergent power series representations, and these power series representations allow the student to mathematically manipulate and estimate the functions involved, in ways that would be difficult/impossible without power series. Second, statistical data that we collected over several years has made it clear that, in general, students do not grasp the basic idea that, when x is close to zero, smaller powers of x are more significant than larger powers of x in a power series or, even, in a polynomial function

Book Detail :-
Title: Worldwide Integral Calculus with infinite series
Author(s): David B. Massey
Year: 2009
Pages: 609
Type: PDF
Language: English
Country: US
About Author :- The author David Bradley Massey (born 1959) is an American mathematician. In 1988, he was awarded a National Science Foundation Postdoctoral Research Fellowship. He has published over 35 research-level papers and two research-level books and written four Calculus textbooks. He is the editor-in-chief of an open-access journal, the Journal of Singularities.

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Book Contents :-
Worldwide Integral Calculus with infinite series written by David B. Massey cover the following topics.
1. Anti-differentiation: the Indefinite Integral
2. Continuous sums: the Definite Integral
3. Applications of Integration
4. Polynomials and Power Series
5. Theorems on Sequences and Series
Appendix A An Introduction to Vectors and Motion
Appendix B Tables of Integration Formulas
Appendix C Answers to Odd-Numbered Exercises

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