Ebook: The Concrete Tetrahedron: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates
- Tags: Combinatorics, Discrete Mathematics, Number Theory, Algebra
- Series: Texts and Monographs in Symbolic Computation
- Year: 2011
- Publisher: Springer-Verlag Wien
- Edition: 1
- Language: English
- pdf
The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates.
Their key features, in isolation or in combination, their mastery by paper and pencil or by computer programs, and their applications to problems in pure mathematics or to "real world problems" (e.g. the analysis of algorithms) are studied. The book is intended as an algorithmic supplement to the bestselling "Concrete Mathematics" by Graham, Knuth and Patashnik.
The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates.
Their key features, in isolation or in combination, their mastery by paper and pencil or by computer programs, and their applications to problems in pure mathematics or to "real world problems" (e.g. the analysis of algorithms) are studied. The book is intended as an algorithmic supplement to the bestselling "Concrete Mathematics" by Graham, Knuth and Patashnik.
The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates.
Their key features, in isolation or in combination, their mastery by paper and pencil or by computer programs, and their applications to problems in pure mathematics or to "real world problems" (e.g. the analysis of algorithms) are studied. The book is intended as an algorithmic supplement to the bestselling "Concrete Mathematics" by Graham, Knuth and Patashnik.
Content:
Front Matter....Pages i-ix
Introduction....Pages 1-16
Formal Power Series....Pages 17-41
Polynomials....Pages 43-61
C-Finite Sequences....Pages 63-86
Hypergeometric Series....Pages 87-112
Algebraic Functions....Pages 113-136
Holonomic Sequences and Power Series....Pages 137-164
Back Matter....Pages 165-203
The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates.
Their key features, in isolation or in combination, their mastery by paper and pencil or by computer programs, and their applications to problems in pure mathematics or to "real world problems" (e.g. the analysis of algorithms) are studied. The book is intended as an algorithmic supplement to the bestselling "Concrete Mathematics" by Graham, Knuth and Patashnik.
Content:
Front Matter....Pages i-ix
Introduction....Pages 1-16
Formal Power Series....Pages 17-41
Polynomials....Pages 43-61
C-Finite Sequences....Pages 63-86
Hypergeometric Series....Pages 87-112
Algebraic Functions....Pages 113-136
Holonomic Sequences and Power Series....Pages 137-164
Back Matter....Pages 165-203
....