2nd Edition. — Springer/Birkhauser, 2023. — 239 p. — (Compact Textbooks in Mathematics). – ISBN 978-3-031-26428-3. Введение в комплексный анализ с несколькими переменными This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible,...
Springer, 2014. — 342 p. — (Springer Undergraduate Mathematics Series). — ISBN 978-3-319-06208-2 The purpose of this book is to provide an integrated course in real and complex analysis for those who have already taken a preliminary course in real analysis. It particularly emphasises the interplay between analysis and topology. Beginning with the theory of the Riemann integral...
Birkhäuser, 2021. — 244 p. — ISBN 978-3-030-75808-0. This monograph systematically explores the theory of rational maps between spheres in complex Euclidean spaces and its connections to other areas of mathematics. Synthesizing research from the last forty years, the author aims for accessibility by balancing abstract concepts with concrete examples. Numerous computations are...
World Scientific Publishing Company, 2021. — 620 p. — ISBN 978-9811226373. This book is about one of the beautiful topics in mathematics. It describes an on-going research on bounded analytic functions which are defined on the unit disc. This is a very active topic that belongs to the theory of complex analysis in a single complex variable. Complex analysis is one of the...
Dover Publications, Inc., 2016. — 160 p. — (Dover Books on Mathematics). — ISBN-13 978-0-486-60154-0. This well-known book provides a clear and concise review of general function theory via complex variables. Suitable for undergraduate math majors, the treatment explores only those topics that are simplest but are also most important for the development of the theory....
Springer, 2020. — 297 p. — (Infosys Science Foundation Series in Mathematical Sciences). — ISBN: 978-981-15-9096-2. The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics and undergraduate students of engineering, as well as to researchers in complex analysis and number theory....
Dover Publications, 2012. — 512 p. — ISBN: 978-0-486-15828-0. First half of this highly-regarded book covers complex number plane; functions and limits; Riemann surfaces, the definite integral; power series; meromorphic functions, and much more. The second half deals with potential theory; ordinary differential equations; Fourier transforms; Laplace transforms and asymptotic...
2nd ed. — Cambridge: Cambridge University Press, 2018. — 402 p. — ISBN: 110843679X. This new edition of a classic textbook develops complex analysis from the established theory of real analysis by emphasising the differences that arise as a result of the richer geometry of the complex plane. Key features of the authors' approach are to use simple topological ideas to translate...
Agranovsky M., Golberg A., Jacobzon F., Shoikhet D., Zalcman L. — Springer International Publishing AG, 2018. — 354 p. — ISBN: 3319701533. This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences. Traditional methods and approaches surface in...
Dover Publications, 1984. — 400 pages. ISBN: 0486646866 Introductory Complex Analysis is a scaled-down version of A. I. Markushevich's masterly three-volume "Theory of Functions of a Complex Variable." Dr. Richard Silverman, the editor and translator of the original, has prepared this shorter version expressly to meet the needs of a one-year graduate or undergraduate course in...
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