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- catalog abstract "The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysis is suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course.".
- catalog contributor b340894.
- catalog created "c1985.".
- catalog date "1985".
- catalog date "c1985.".
- catalog dateCopyrighted "c1985.".
- catalog description "The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysis is suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course.".
- catalog description "pt. I. Basic theory. 1. Complex numbers and functions -- 2. Power series -- 3. Cauchy's theorem, first part -- 4. Cauchy's theorem, second part -- 5. Applications of Cauchy's integral formulas -- 6. Calculus of residues -- 7. Conformal mappings -- 8. Harmonic functions -- pt. II. Various analytic topics. 9. Applications of the maximum modulus principle -- 10. Entire and meromorphic functions -- 11. Elliptic functions -- 12. Differentiating under an integral -- 13. Analytic continuation -- 14. The Riemann mapping theorem.".
- catalog extent "xiv, 367 p. :".
- catalog hasFormat "Complex analysis.".
- catalog identifier "0387960856".
- catalog isFormatOf "Complex analysis.".
- catalog isPartOf "Graduate texts in mathematics ; 103".
- catalog issued "1985".
- catalog issued "c1985.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Complex analysis.".
- catalog subject "Functions of complex variables.".
- catalog subject "Mathematical analysis.".
- catalog subject "QA331 .L255 1985".
- catalog tableOfContents "pt. I. Basic theory. 1. Complex numbers and functions -- 2. Power series -- 3. Cauchy's theorem, first part -- 4. Cauchy's theorem, second part -- 5. Applications of Cauchy's integral formulas -- 6. Calculus of residues -- 7. Conformal mappings -- 8. Harmonic functions -- pt. II. Various analytic topics. 9. Applications of the maximum modulus principle -- 10. Entire and meromorphic functions -- 11. Elliptic functions -- 12. Differentiating under an integral -- 13. Analytic continuation -- 14. The Riemann mapping theorem.".
- catalog title "Complex analysis / Serge Lang.".
- catalog type "text".