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Elliptic functions: a primer /
Elliptic Functions: A Primer defines and describes what is an elliptic function, attempts to have a more elementary approach to them, and drastically reduce the complications of its classic formulae; from which the book proceeds to a more detailed study of the subject while being reasonably complete...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Pergamon Press,
[1971]
|
| Edición: | First edition]. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn892067814 | ||
| 003 | OCoLC | ||
| 005 | 20231120111755.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 141003s1971 enka o 000 0 eng d | ||
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| 019 | |a 898771878 |a 903965292 | ||
| 020 | |a 9781483151915 |q (electronic bk.) | ||
| 020 | |a 1483151913 |q (electronic bk.) | ||
| 020 | |z 0080163696 | ||
| 020 | |z 9780080163697 | ||
| 035 | |a (OCoLC)892067814 |z (OCoLC)898771878 |z (OCoLC)903965292 | ||
| 050 | 4 | |a QA343 |b .N49 1971eb | |
| 072 | 7 | |a MAT |x 005000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 034000 |2 bisacsh | |
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| 084 | |a SK 750 |2 rvk | ||
| 100 | 1 | |a Neville, Eric Harold, |d 1889-1961. | |
| 245 | 1 | 0 | |a Elliptic functions: a primer / |c prepared for publication by W.J. Langford. |
| 250 | |a First edition]. | ||
| 264 | 1 | |a Oxford ; |a New York : |b Pergamon Press, |c [1971] | |
| 300 | |a 1 online resource (xiii, 198 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 520 | |a Elliptic Functions: A Primer defines and describes what is an elliptic function, attempts to have a more elementary approach to them, and drastically reduce the complications of its classic formulae; from which the book proceeds to a more detailed study of the subject while being reasonably complete in itself. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Elliptic Functions: A Primer; Copyright Page ; Table of Contents; EDITOR'S PREFACE; LIST OF TABLES; Chapter 1. Double periodicity; Equivalent bases; Chapter 2. Lattices; Chapter 3. Multiples and sub-multiples of periods; Chapter 4. Fundamental parallelogram; Liouville's theorem-a doubly periodic function without accessible singularities is a constant; Chapter 5. Definition of an elliptic function; A rational function of an elliptic function is an elliptic function; Chapter 6. An elliptic function (unless constant) has poles and zeros Identification of an elliptic function. | |
| 505 | 8 | |a (I) by poles and principal parts(ii) by poles and zeros; Chapter 7. Residue sum of an elliptic function is zero; Chapter 8. Derivative of an elliptic function; Order of an elliptic function; No functions of the first order; Chapter 9. Additive pseudoperiodicity; Integration of an elliptic function with zero residues; Signature; Evaluation of A� -- B(\ for a function additively pseudoperiodic in �a, �a with moduli A, �A; Chapter 10. Pole-sum of an elliptic function; Chapter 11. The mid-lattice points; Odd and even elliptic functions; Chapter 12. Construction of the function ... | |
| 505 | 8 | |a Chapter 13. Construction and periodicity of the Weierstrassian function ... Chapter 14. Zeros of..z; The constants ef, eg, eh; Construction of the primitive functions fj z, gj z, hj z; Chapter 15. Periodicity of the primitive functions; Primitive functions are odd functions with simple poles; Structure patterns and residue patterns; Double series for fj z; Chapter 16. Construction and pseudoperiodicity of ... ; The constants nf, ng, nh; Laurent series for ... ; Chapter 17. Construction of �oz ... | |
| 505 | 8 | |a Chapter 18. Construction, in terms of ... and ... of an elliptic function with assigned poles and principal partsExpression for ... ; Constant value of ... ; Chapter 19. Construction, in terms of �o�, of an elliptic function with assigned poles and zeros; Expression for ... ; Expression for the primitive function pjz; Chapter 20. Expression of an elliptic function in the form ... ; Chapter 21. Expression for.'2z in terms of.z; Evaluation of ... ; Chapter 22. Expression of an elliptic function in the form S ... ; Chapter 23. Elliptic functions on the same lattice are connected algebraically. | |
| 505 | 8 | |a Chapter 24. The six critical constants pqf2g + g2g + h2f =0; fgfh = gfhf; gr = vfg; Chapter 25. Quarter-period addition to the argument of a primitive function; The twelve elementary functions; pq z qp z = qp'wq; pqz qrz = pqwr, prz; Periods and poles of pq z; Relations between the squares of the elementary functions; Chapter 26. The functions pz and pqz as solutions of differential equations; Chapter 27. Copolar functions and simultaneous differential equations; Chapter 28. Addition theorems for pz and .z and .z; ... + fj'z/fjz; Chapter 29. Addition theorems for fjz, jfz and hgz. | |
| 650 | 0 | |a Elliptic functions. | |
| 650 | 6 | |a Fonctions elliptiques. |0 (CaQQLa)201-0043693 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Elliptic functions |2 fast |0 (OCoLC)fst00908173 | |
| 650 | 7 | |a Elliptische Funktion |2 gnd |0 (DE-588)4134665-8 | |
| 776 | 0 | 8 | |i Print version: |a Neville, Eric Harold, 1889- |t Elliptic functions: a primer. |b First edition] |z 0080163696 |w (DLC) 78148488 |w (OCoLC)155096 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780080163697 |z Texto completo |