D-Finite Functions (Record no. 59995)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02536 a2200217 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240108b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783031346514(HB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 519.1 |
| Item number | KAU |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Kauers, Manuel |
| 245 ## - TITLE STATEMENT | |
| Title | D-Finite Functions |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Springer |
| Year of publication | 2023 |
| Place of publication | Linz, Austria |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 664p |
| 490 ## - SERIES STATEMENT | |
| Series statement | Algorithms and Computation in Mathematics |
| Volume number/sequential designation | 30 |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter. 1. Background and fundamental concepts Chapter. 2. The recurrence case in one variable Chapter. 3. The differential case in one variable Chapter. 4. Operators Chapter. 5. Summation and integration Answers to Exercises Software Notations References Index |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Defined as solutions of linear differential or difference equations with polynomial coefficients, D-finite functions play an important role in various areas of mathematics. This book is a comprehensive introduction to the theory of these functions with a special emphasis on computer algebra algorithms for computing with them: algorithms for detecting relations from given data, for evaluating D-finite functions, for executing closure properties, for obtaining various kinds of “explicit” expressions, for factoring operators, and for definite and indefinite symbolic summation and integration are explained in detail. The book comes “with batteries included” in the sense that it requires no background in computer algebra as the relevant facts from this area are summarized in the beginning. This makes the book accessible to a wide range of readers, from mathematics students who plan to work themselves on D-finite functions to researchers who want to apply the theory to their own work. Hundreds of exercises invite the reader to apply the techniques in the book and explore further aspects of the theory on their own. Solutions to all exercises are given in the appendix. When algorithms for D-finite functions came up in the early 1990s, computer proofs were met with a certain skepticism. Fortunately, these times are over and computer algebra has become a standard tool for many mathematicians. Yet, this powerful machinery is still not as widely known as it deserves. This book helps to spread the word that certain tasks can be safely delegated to a computer algebra system, and also what the limitations of these techniques are |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Difference equations Differential equations, |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Linear Équations aux différences Équations différentielles linéaires |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Shelving location | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | First floor, Rack No: 34, Shelf No: 36 | 519.1 KAU | 77482 | BOOKS |