# finite calculus

May 12th, 2015
Studypool Tutor
Price: \$60 USD

Tutor description

calculus solutions and answered questions

Word Count: 5299
Showing Page: 1/18
Finite Calculus:A Tutorial for Solving Nasty SumsDavid GleichJanuary 17, 2005AbstractIn this tutorial, I will first explain the need for finite calculus using an example sumI think is difficult to solve. Next, I will show where this sum actually occurs and why itis important. Following that, I will present all the mathematics behind finite calculusand a series of theorems to make it helpful before concluding with a set of examples toshow that it really is useful.Contents1 How to EvaluatePn2x=1 x ?22 The Computational Cost of Gaussian Elimination33 The3.13.23.34578Finite CalculusDiscrete Derivative . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .The Indefinite Sum and the Discrete Anti-Derivative . . . . . . . . . . .Helpful Finite Calculus Theorems . . . . . . . . . . . . . . . . . . . . . .4 Making Finite Calculus Useful:Stirling and His Numbers104.1 Stirling Numbers (of the Second Kind) . . . . . . . . . . . . . . . . . . . 124.2 Proving the Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144.3 Computing Stirling Numbers . . . . . . . . . . . . . . . . . . . . . . . . 155 Examples16Pn Galore...2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165.1xx=15.2 A Double Sum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165.3 Average Codeword Length . . . . . . . . . . . . . . . . . . . . . . . . . . 176 Conclusion1811PnHow to Evaluatex=1 x2

## Review from student

Studypool Student
" The best tutor out there!!!! "

Type your question here (or upload an image)

1829 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors