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Analytic functions of a complex variable / by David Raymond Curtiss.
- Format:
- Book
- Author/Creator:
- Curtiss, David Raymond, 1878- author.
- Series:
- Carus
- Carus ; v.2
- Language:
- English
- Subjects (All):
- Functions.
- Physical Description:
- 1 online resource (ix, 173 pages) : digital, PDF file(s).
- Edition:
- 1st ed.
- Place of Publication:
- Chicago : Published for the Mathematical Association of America by the Open Court Publishing Company, 1926.
- Language Note:
- English
- Summary:
- The MAA is pleased to re-issue the early Carus Mathematical Monographs in ebook and print-on-demand formats. Readers with an interest in the history of the undergraduate curriculum or the history of a particular field will be rewarded by study of these very clear and approachable little volumes. The theory of functions of a complex variable has been developed by the efforts of thousands of workers through the last hundred years. To give even the briefest account of the present state of that theory in all its branches would be impossible within the limits of this book. What is attempted here is a presentation of fundamental principles with sufficient details of proof and discussion to avoid the style of a mere summary or synopsis. In various places there are indications of directions in which special portions of the subject branch off from the main stem. The reader is assumed to have an acquaintance with elementary differential and integral calculus. Without such knowledge one may, however, obtain some idea of the scope and purposes of the theory of functions from this monograph. Those should profit most who are familiar with more than the elements of the calculus.
- Contents:
- ch. 1 Origin and applications of the theory
- ch. 2 Complex numbers
- ch. 3 Real functions of real variables
- ch. 4 Complex functions that have derivatives
- ch. 5 Applications in geometry and physics
- ch. 6 Integrals of analytic functions
- ch. 7 Infinite series
- ch. 8 Singularities of single-valued analytic functions
- ch. 9 Analytic continuation. Many-valued analytic functions.
- Notes:
- Title from publisher's bibliographic system (viewed on 02 Oct 2015).
- Includes bibliographical references at the end of each chapters and index.
- Description based on print version record.
- ISBN:
- 1-61444-002-6
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