Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA303.ERN FCT 96013 (Browse shelf) | 1 | Available |
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QA300.SPR FCT 96315 Optimization and data analysis in biomedical informatics | QA300.SPR FCT 98189 The GLOBAL optimization algorithm | QA301.SPR FCT 81447 Limits, series, and fractional part integrals | QA303.ERN FCT 96013 A comprehensive treatment of q-calculus | QA303.SPR FCT 81068 Advanced calculus | QA303.SPR FCT 81151 A course in multivariable calculus and analysis | QA303.SPR FCT 81212 Advanced calculus |
Colocação: Online
To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms. For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Beyond a thorough review of the historical development of q-calculus, it also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.
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