Theory of Functions / / J. F. Ritt.
Examines functions such as the real number system, the theory of limits, linear point sets, derivatives, curves, and series among other mathematical theories.
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| Superior document: | Title is part of eBook package: De Gruyter Columbia University Press eBook-Package Archive 1898-1999 |
|---|---|
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| Place / Publishing House: | New York, NY : : Columbia University Press, , [1947] ©1947 |
| Year of Publication: | 1947 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (184 p.) |
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| 001 | 9780231898300 | ||
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| 072 | 7 | |a MAT037000 |2 bisacsh | |
| 100 | 1 | |a Ritt, J. F., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Theory of Functions / |c J. F. Ritt. |
| 264 | 1 | |a New York, NY : |b Columbia University Press, |c [1947] | |
| 264 | 4 | |c ©1947 | |
| 300 | |a 1 online resource (184 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t I. The Real Number System -- |t II. Theory of Limits -- |t III. Linear Point Sets -- |t IV. Functions and Continuity -- |t V. The Derivative -- |t VI. Riemann Integration -- |t VII. Infinite Series of Numbers -- |t VIII. Sequences of Functions -- |t IX. Infinite Series of Functions -- |t X. Functions of Two Variables -- |t XI. Complex and Hypercomplex Numbers -- |t XII. Limits and Point Sets (Complex Domain) -- |t XIII. Curves and Regions -- |t XIV. Derivatives -- |t XV. Continuous Curves -- |t XVI. Rectifiable Curves -- |t XVII. Curvilinear Integrals -- |t XVIII. Jordan Curves -- |t XIX. Analysis Situs of the Triangle -- |t XX. The Cauchy Integral Theorem for Triangles -- |t XXI. Extension of the Cauchy Integral Theorem to Polygons -- |t XXII. The Cauchy Integral Theorem for a Rectifiable Curve -- |t XXIII. The Cauchy Integral Theorem for Several Contours -- |t XXIV. Preliminaries for Cauchy Integral Formula -- |t XXV. The Cauchy Integral Formula and the Derivatives of an Analytic Function -- |t XXVI. Infinite Sequences and Infinite Series of Analytic Functions -- |t XXVII. Power Series -- |t XXVIII. Taylor's Expansion -- |t XXIX. Liouville's Theorem and the Fundamental Theorem of Algebra -- |t XXX. On the Zeros of Analytic Functions -- |t XXXI. Laurent Series -- |t XXXII. Singularities of Analytic Functions -- |t XXXIII. Products and Quotients of Analytic Functions -- |t XXXIV. Rational Functions -- |t XXXV. The Functions ez , sin z, cos z -- |t XXXVI. Periodic Functions -- |t XXXVII. Indefinite Integrals, Logarithms -- |t XXXVIII. Infinite Products -- |t XXXIX. The Weierstrass Factorization Theorem -- |t XL. Meromorphic Functions and Mittag-Leffler's Theorem -- |t XLI. Theory of Residues -- |t XLII. Certain Important Theorems -- |t XLIII. Variation of the Amplitude of a Continuous Function along a Continuous Curve -- |t XLIV. The Functions n√z, log z -- |t XLV. Analytic Continuation |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a Examines functions such as the real number system, the theory of limits, linear point sets, derivatives, curves, and series among other mathematical theories. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
| 650 | 7 | |a MATHEMATICS / Functional Analysis. |2 bisacsh | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Columbia University Press eBook-Package Archive 1898-1999 |z 9783110442489 |
| 776 | 0 | |c print |z 9780231943628 | |
| 856 | 4 | 0 | |u https://doi.org/10.7312/ritt94362 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780231898300 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/cover/covers/9780231898300.jpg |
| 912 | |a 978-3-11-044248-9 Columbia University Press eBook-Package Archive 1898-1999 |c 1898 |d 1999 | ||
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