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The Umbral Calculus
Contributor(s): Roman, Steven (Author)

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ISBN: 0486834131     ISBN-13: 9780486834139
Publisher: Dover Publications
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Binding Type: Paperback - See All Available Formats & Editions
Published: April 2019
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Additional Information
BISAC Categories:
- Mathematics | Calculus
Dewey: 515
LCCN: 2018051970
Series: Dover Books on Mathematics
Physical Information: 0.5" H x 5.4" W x 8.4" L (0.55 lbs) 208 pages
Features: Bibliography, Index, Price on Product
 
Descriptions, Reviews, Etc.
Publisher Description:
Geared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus requires only an acquaintance with the basic notions of algebra and a bit of applied mathematics (such as differential equations) to help put the theory in mathematical perspective.
The text focuses on classical umbral calculus, which dates back to the 1850s and continues to receive the attention of modern mathematicians. Subjects include Sheffer sequences and operators and their adjoints, with numerous examples of associated and other sequences. Related topics encompass the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations, and binomial convolution. The final chapter offers a glimpse of the newer and less well-established forms of umbral calculus.
 
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