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Introduction To Analysis With Complex Numbers

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Release : 2021-02-18
Genre : Mathematics
Kind : eBook
Book Rating : 877/5 ( reviews)

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Book Synopsis Introduction To Analysis With Complex Numbers by : Irena Swanson

Download or read book Introduction To Analysis With Complex Numbers written by Irena Swanson. This book was released on 2021-02-18. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Author :
Release : 2011-07-01
Genre : Mathematics
Kind : eBook
Book Rating : 95X/5 ( reviews)

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Book Synopsis An Introduction to Complex Analysis by : Ravi P. Agarwal

Download or read book An Introduction to Complex Analysis written by Ravi P. Agarwal. This book was released on 2011-07-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Complex Analysis and Geometry

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Author :
Release : 2010
Genre : Functions of complex variables
Kind : eBook
Book Rating : 744/5 ( reviews)

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Book Synopsis An Introduction to Complex Analysis and Geometry by : John P. D'Angelo

Download or read book An Introduction to Complex Analysis and Geometry written by John P. D'Angelo. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Visual Complex Analysis

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Author :
Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 464/5 ( reviews)

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Book Synopsis Visual Complex Analysis by : Tristan Needham

Download or read book Visual Complex Analysis written by Tristan Needham. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Complex Analysis and the Laplace Transform

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Release : 2021-12-20
Genre : Mathematics
Kind : eBook
Book Rating : 12X/5 ( reviews)

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Book Synopsis An Introduction to Complex Analysis and the Laplace Transform by : Vladimir Eiderman

Download or read book An Introduction to Complex Analysis and the Laplace Transform written by Vladimir Eiderman. This book was released on 2021-12-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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