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An Introduction to Infinite Products / Charles H. C. Little, Kee L. Teo, Bruce van Brunt
| An Introduction to Infinite Products / Charles H. C. Little, Kee L. Teo, Bruce van Brunt |
| Autore | Little, Charles H. C. |
| Pubbl/distr/stampa | Cham, : Springer, 2022 |
| Descrizione fisica | x, 251 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Brunt, Bruce van
Teo, Kee L. |
| Soggetto non controllato |
Abel's Limit Theorem
Beta function Blaschke Products Euler's identity Gamma Function Infinite products Jacobi triple product identity Stirling's Formula Weierstrass factorization theorem Weierstrass products text infinite products |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0276844 |
Little, Charles H. C.
|
||
| Cham, : Springer, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
An Introduction to Infinite Products / Charles H. C. Little, Kee L. Teo, Bruce van Brunt
| An Introduction to Infinite Products / Charles H. C. Little, Kee L. Teo, Bruce van Brunt |
| Autore | Little, Charles H. C. |
| Pubbl/distr/stampa | Cham, : Springer, 2022 |
| Descrizione fisica | x, 251 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Brunt, Bruce van
Teo, Kee L. |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
30-XX - Functions of a complex variable [MSC 2020] 40A20 - Convergence and divergence of infinite products [MSC 2020] |
| Soggetto non controllato |
Abel's Limit Theorem
Beta Function Blaschke products Euler's identity Gamma Function Infinite products Jacobi triple product identity Stirling's Formula Weierstrass factorization theorem Weierstrass products text infinite products |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00276844 |
|
Little, Charles H. C.
|
||
| Cham, : Springer, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Real analysis via sequences and series / Charles H.C. Little, Kee L. Teo, Bruce van Brunt
| Real analysis via sequences and series / Charles H.C. Little, Kee L. Teo, Bruce van Brunt |
| Autore | Little, Charles H. C. |
| Pubbl/distr/stampa | New York, : Springer, 2015 |
| Descrizione fisica | XI, 476 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Brunt, Bruce van
Teo, Kee L. |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
26A03 - Foundations: limits and generalizations, elementary topology of the line [MSC 2020] 26A18 - Iteration of real functions in one variable [MSC 2020] 03E15 - Descriptive set theory [MSC 2020] 40A05 - Convergence and divergence of series and sequences [MSC 2020] 26A15 - Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable [MSC 2020] 26A24 - Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020] 26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020] 40A30 - Convergence and divergence of series and sequences of functions [MSC 2020] |
| Soggetto non controllato |
Airy function
Airy's equation Baire's theorem Bolzano-Weierstrass theorem Cartesian Product Cauchy condensation test Dirichlet's test Infinite series Integral test Kummer-Jensen test Limit of a function Real analysis text adoption Riemann integrals Sequence convergence Sequences |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113107 |
|
Little, Charles H. C.
|
||
| New York, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Real analysis via sequences and series / Charles H.C. Little, Kee L. Teo, Bruce van Brunt
| Real analysis via sequences and series / Charles H.C. Little, Kee L. Teo, Bruce van Brunt |
| Autore | Little, Charles H. C. |
| Pubbl/distr/stampa | New York, : Springer, 2015 |
| Descrizione fisica | XI, 476 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Brunt, Bruce van
Teo, Kee L. |
| Soggetto topico |
03E15 - Descriptive set theory [MSC 2020]
26-XX - Real functions [MSC 2020] 26A03 - Foundations: limits and generalizations, elementary topology of the line [MSC 2020] 26A15 - Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable [MSC 2020] 26A18 - Iteration of real functions in one variable [MSC 2020] 26A24 - Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020] 26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020] 40A05 - Convergence and divergence of series and sequences [MSC 2020] 40A30 - Convergence and divergence of series and sequences of functions [MSC 2020] |
| Soggetto non controllato |
Airy Function
Airy's Equation Baire's Theorem Bolzano-Weierstrass Theorem Cartesian Product Cauchy Condensation Test Dirichlet's Test Infinite series Integral test Kummer-Jensen test Limit of a Function Real analysis Riemann integrals Sequence convergence Sequences |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis’s formula and Stirling’s formula, proofs of the irrationality of π and e and a treatment of Newton’s method as a special instance of finding fixed points of iterated functions. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113107 |
|
Little, Charles H. C.
|
||
| New York, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Real analysis via sequences and series / Charles H.C. Little, Kee L. Teo, Bruce van Brunt
| Real analysis via sequences and series / Charles H.C. Little, Kee L. Teo, Bruce van Brunt |
| Autore | Little, Charles H. C. |
| Edizione | [New York : Springer, 2015] |
| Pubbl/distr/stampa | XI, 476 p., : ill. ; 24 cm |
| Descrizione fisica | Pubblicazione in formato elettronico |
| Altri autori (Persone) |
Brunt, Bruce van
Teo, Kee L. |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
26A03 - Foundations: limits and generalizations, elementary topology of the line [MSC 2020] 26A18 - Iteration of real functions in one variable [MSC 2020] 03E15 - Descriptive set theory [MSC 2020] 40A05 - Convergence and divergence of series and sequences [MSC 2020] 26A15 - Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable [MSC 2020] 26A24 - Differentiation (real functions of one variable): general theory, generalized derivatives, mean-value theorems [MSC 2020] 26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020] 40A30 - Convergence and divergence of series and sequences of functions [MSC 2020] |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0113107 |
|
Little, Charles H. C.
|
||
| XI, 476 p., : ill. ; 24 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||