Introduction To Analysis With Complex Numbers
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Introduction To Analysis With Complex Numbers
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Author : Irena Swanson
language : en
Publisher: World Scientific
Release Date : 2021-02-18
Introduction To Analysis With Complex Numbers written by Irena Swanson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-18 with Mathematics categories.
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.
An Introduction To Complex Analysis And Geometry
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Author : John P. D'Angelo
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
An Introduction To Complex Analysis And Geometry written by John P. D'Angelo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Functions of complex variables categories.
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.
An Introduction To Complex Analysis
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Author : Ravi P. Agarwal
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-01
An Introduction To Complex Analysis written by Ravi P. Agarwal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-01 with Mathematics categories.
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.
Complex Analysis
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Author : Kevin Houston
language : en
Publisher:
Release Date : 2017-07-21
Complex Analysis written by Kevin Houston and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-21 with Mathematics categories.
Dr Kevin Houston follows up his best-selling book How to Think Like a Mathematician with Complex Analysis: An Introduction. Complex Analysis is a central subject in mathematics with applications in engineering, physics, and even the study of prime numbers. It has been said that often the shortest route in the solution of a real problem is to take a shortcut through the complex numbers. Unlike other texts this book gets quickly to the heart of Complex Analysis: the concept of complex contour integration. This means that students get much more practice in the fundamental concept than they normally would. The central method of proof - use of the Estimation Lemma - is emphasised throughout because students then have a unifying principle to help understand and remember those proofs. The book contains all you will need for an introductory course in Complex Analysis and includes a short and sweet proof of Cauchy's Theorem - one which the majority of students can grasp not only the outline but the details as well. The book contains copious examples and exercises tested on students arising from Dr. Houston's 20 years plus experience of teaching the subject
Introductory Complex Analysis
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Author : Richard A. Silverman
language : en
Publisher: Courier Corporation
Release Date : 2013-04-15
Introductory Complex Analysis written by Richard A. Silverman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-15 with Mathematics categories.
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.
Introduction To Complex Analysis
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Author : H. A. Priestley
language : en
Publisher: OUP Oxford
Release Date : 2003-08-28
Introduction To Complex Analysis written by H. A. Priestley and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-28 with Mathematics categories.
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 setshave 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 forPattern Recognition, Gelman and Nolan: Teaching Statistics.
Super Bus 2 Tb Basque
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Author : Anant R Shastri
language : en
Publisher:
Release Date : 2000-05-01
Super Bus 2 Tb Basque written by Anant R Shastri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-01 with categories.
This thorough, yet simple book is an ideal text and reference for postgraduate students of mathematics. Although it covers a large number of topics, from basic theory of complex numbers to Cauchy s theorem, the informal, interactive style makes the book extremely digestible .
An Introduction To Mathematical Analysis
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Author : Robert A. Rankin
language : en
Publisher: Elsevier
Release Date : 2016-06-06
An Introduction To Mathematical Analysis written by Robert A. Rankin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Mathematics categories.
An Introduction to Mathematical Analysis is an introductory text to mathematical analysis, with emphasis on functions of a single real variable. Topics covered include limits and continuity, differentiability, integration, and convergence of infinite series, along with double series and infinite products. This book is comprised of seven chapters and begins with an overview of fundamental ideas and assumptions relating to the field operations and the ordering of the real numbers, together with mathematical induction and upper and lower bounds of sets of real numbers. The following chapters deal with limits of real functions; differentiability and maxima, minima, and convexity; elementary properties of infinite series; and functions defined by power series. Integration is also considered, paying particular attention to the indefinite integral; interval functions and functions of bounded variation; the Riemann-Stieltjes integral; the Riemann integral; and area and curves. The final chapter is devoted to convergence and uniformity. This monograph is intended for mathematics students.
An Introduction To Classical Complex Analysis
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Author : R.B. Burckel
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
An Introduction To Classical Complex Analysis written by R.B. Burckel and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book is an attempt to cover some of the salient features of classical, one variable complex function theory. The approach is analytic, as opposed to geometric, but the methods of all three of the principal schools (those of Cauchy, Riemann and Weierstrass) are developed and exploited. The book goes deeply into several topics (e.g. convergence theory and plane topology), more than is customary in introductory texts, and extensive chapter notes give the sources of the results, trace lines of subsequent development, make connections with other topics, and offer suggestions for further reading. These are keyed to a bibliography of over 1,300 books and papers, for each of which volume and page numbers of a review in one of the major reviewing journals is cited. These notes and bibliography should be of considerable value to the expert as well as to the novice. For the latter there are many references to such thoroughly accessible journals as the American Mathematical Monthly and L'Enseignement Mathématique. Moreover, the actual prerequisites for reading the book are quite modest; for example, the exposition assumes no prior knowledge of manifold theory, and continuity of the Riemann map on the boundary is treated without measure theory.
Complex Analysis
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Author : Lars Ahlfors
language : en
Publisher:
Release Date : 1979
Complex Analysis written by Lars Ahlfors and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Education categories.
A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals.