Introduction To Complex Analysis
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Author |
: H. A. Priestley |
Publisher |
: OUP Oxford |
Total Pages |
: 344 |
Release |
: 2003-08-28 |
ISBN-10 |
: 9780191037207 |
ISBN-13 |
: 0191037206 |
Rating |
: 4/5 (07 Downloads) |
Synopsis Introduction to Complex Analysis by : H. A. Priestley
Complex analysis is a classic and central area of mathematics, which is studied and exploited in a range of important fields, from number theory to engineering. Introduction to Complex Analysis was first published in 1985, and for this much awaited second edition the text has been considerably expanded, while retaining the style of the original. More detailed presentation is given of elementary topics, to reflect the knowledge base of current students. Exercise sets have been substantially revised and enlarged, with carefully graded exercises at the end of each chapter. This is the latest addition to the growing list of Oxford undergraduate textbooks in mathematics, which includes: Biggs: Discrete Mathematics 2nd Edition, Cameron: Introduction to Algebra, Needham: Visual Complex Analysis, Kaye and Wilson: Linear Algebra, Acheson: Elementary Fluid Dynamics, Jordan and Smith: Nonlinear Ordinary Differential Equations, Smith: Numerical Solution of Partial Differential Equations, Wilson: Graphs, Colourings and the Four-Colour Theorem, Bishop: Neural Networks for Pattern Recognition, Gelman and Nolan: Teaching Statistics.
Author |
: Ravi P. Agarwal |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 345 |
Release |
: 2011-07-01 |
ISBN-10 |
: 9781461401957 |
ISBN-13 |
: 146140195X |
Rating |
: 4/5 (57 Downloads) |
Synopsis An Introduction to Complex Analysis by : Ravi P. Agarwal
This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures, uses detailed examples to drive the presentation, includes numerous exercise sets that encourage pursuing extensions of the material, each with an “Answers or Hints” section, covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics, provides a concise history of complex numbers. An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus.
Author |
: Richard A. Silverman |
Publisher |
: Courier Corporation |
Total Pages |
: 402 |
Release |
: 2013-04-15 |
ISBN-10 |
: 9780486318523 |
ISBN-13 |
: 0486318524 |
Rating |
: 4/5 (23 Downloads) |
Synopsis Introductory Complex Analysis by : Richard A. Silverman
Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.
Author |
: John P. D'Angelo |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 177 |
Release |
: 2010 |
ISBN-10 |
: 9780821852743 |
ISBN-13 |
: 0821852744 |
Rating |
: 4/5 (43 Downloads) |
Synopsis An Introduction to Complex Analysis and Geometry by : John P. D'Angelo
Provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The first four chapters provide an introduction to complex analysis with many elementary and unusual applications. Chapters 5 to 7 develop the Cauchy theory and include some striking applications to calculus. Chapter 8 glimpses several appealing topics, simultaneously unifying the book and opening the door to further study.
Author |
: Michael Taylor |
Publisher |
: |
Total Pages |
: 270 |
Release |
: 2014-10-18 |
ISBN-10 |
: 1502876442 |
ISBN-13 |
: 9781502876447 |
Rating |
: 4/5 (42 Downloads) |
Synopsis Introduction to Complex Analysis by : Michael Taylor
Introduction to Complex AnalysisBy Michael Taylor
Author |
: Junjiro Noguchi |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 268 |
Release |
: 2008-04-09 |
ISBN-10 |
: 0821889605 |
ISBN-13 |
: 9780821889602 |
Rating |
: 4/5 (05 Downloads) |
Synopsis Introduction to Complex Analysis by : Junjiro Noguchi
This book describes a classical introductory part of complex analysis for university students in the sciences and engineering and could serve as a text or reference book. It places emphasis on rigorous proofs, presenting the subject as a fundamental mathematical theory. The volume begins with a problem dealing with curves related to Cauchy's integral theorem. To deal with it rigorously, the author gives detailed descriptions of the homotopy of plane curves. Since the residue theorem is important in both pure and applied mathematics, the author gives a fairly detailed explanation of how to apply it to numerical calculations; this should be sufficient for those who are studying complex analysis as a tool.
Author |
: Tristan Needham |
Publisher |
: Oxford University Press |
Total Pages |
: 620 |
Release |
: 1997 |
ISBN-10 |
: 0198534469 |
ISBN-13 |
: 9780198534464 |
Rating |
: 4/5 (69 Downloads) |
Synopsis Visual Complex Analysis by : Tristan Needham
This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
Author |
: Vladimir Eiderman |
Publisher |
: CRC Press |
Total Pages |
: 383 |
Release |
: 2021-12-20 |
ISBN-10 |
: 9781000511123 |
ISBN-13 |
: 100051112X |
Rating |
: 4/5 (23 Downloads) |
Synopsis An Introduction to Complex Analysis and the Laplace Transform by : Vladimir Eiderman
The aim of this comparatively short textbook is a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications. Several important applications in physics and engineering are considered in the book. This thorough presentation includes all theorems (with a few exceptions) presented with proofs. No previous exposure to complex numbers is assumed. The textbook can be used in one-semester or two-semester courses. In one respect this book is larger than usual, namely in the number of detailed solutions of typical problems. This, together with various problems, makes the book useful both for self- study and for the instructor as well. A specific point of the book is the inclusion of the Laplace transform. These two topics are closely related. Concepts in complex analysis are needed to formulate and prove basic theorems in Laplace transforms, such as the inverse Laplace transform formula. Methods of complex analysis provide solutions for problems involving Laplace transforms. Complex numbers lend clarity and completion to some areas of classical analysis. These numbers found important applications not only in the mathematical theory, but in the mathematical descriptions of processes in physics and engineering.
Author |
: Volker Scheidemann |
Publisher |
: Springer Nature |
Total Pages |
: 239 |
Release |
: 2023 |
ISBN-10 |
: 9783031264283 |
ISBN-13 |
: 3031264282 |
Rating |
: 4/5 (83 Downloads) |
Synopsis Introduction to Complex Analysis in Several Variables by : Volker Scheidemann
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, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem. The book aims primarily at students starting to work in the field of complex analysis in several variables and instructors preparing a course. To that end, a lot of examples and supporting exercises are provided throughout the text. This second edition includes hints and suggestions for the solution of the provided exercises, with various degrees of support.
Author |
: Irena Swanson |
Publisher |
: World Scientific |
Total Pages |
: 455 |
Release |
: 2021-02-18 |
ISBN-10 |
: 9789811225871 |
ISBN-13 |
: 9811225877 |
Rating |
: 4/5 (71 Downloads) |
Synopsis Introduction To Analysis With Complex Numbers by : Irena Swanson
This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs appear with words in a different font for what should be going on in the proof writer's head.The book contains many examples and exercises to solidify the understanding. The material is presented rigorously with proofs and with many worked-out examples. Exercises are varied, many involve proofs, and some provide additional learning materials.