a friendly approach to complex analysis

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A Friendly Approach To Complex Analysis

Author : Sara Maad Sasane
ISBN : 9789814579018
Genre : Mathematics
File Size : 72. 76 MB
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The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several variables, but have not previously been exposed to complex analysis. The textbook should be particularly useful and relevant for undergraduate students in joint programmes with mathematics, as well as engineering students. The aim of the book is to cover the bare bones of the subject with minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy–Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series expansions. Each section contains several problems, which are not purely drill exercises, but are rather meant to reinforce the fundamental concepts. Detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study. There are many figures illustrating the text. Errata(s) Errata (72 KB)

Friendly Approach To Complex Analysis A

Author : Amol Sasane
ISBN : 9814579009
Genre :
File Size : 55. 20 MB
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Visual Complex Analysis

Author : Tristan Needham
ISBN : 0198534469
Genre : Mathematics
File Size : 35. 4 MB
Format : PDF
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Now available in paperback, this successful radical approach to complex analysis replaces the standard calculational arguments with new geometric ones. With several hundred diagrams, and far fewer prerequisites than usual, this is the first visual intuitive introduction to complex analysis. Although designed for use by undergraduates in mathematics and science, the novelty of the approach will also interest professional mathematicians.

Complex Analysis

Author : Jerry R. Muir
ISBN : 9781118705223
Genre : Mathematics
File Size : 62. 24 MB
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This book concisely addresses the classical results of the field, emphasizes the beauty, power, and counterintuitive nature of the subject, and moves the notion of power series front and center, giving readers a primary tool to deal with problems from modern function theory. Uniquely defines analyticity in terms of power series (as opposed to differentiability), making power series a central concept and tool to solve problems Features many “counterintuitive” concepts as a learning tool, such as addressing Liouville's Theorem, the factorization of analytic function, the Open Mapping Theorem, and the Maximum Principle in quick succession early on in the book in an attempt to prepare readers for the development of the Cauchy integral theory Classroom tested for 10+ years by the author at the University of Scranton as well as colleagues at Rose-Hulman Institute of Technology and Adams State College Presents sequences and series early on, distinguishes complex analysis from real analysis and calculus, and emphasizes geometry when analyzing complex functions Contains appendices for basic notation of sets and functions as well as necessary topics from advanced calculus, such as Leibnitz's Rule and Fubini's Theorem An Instructor's Manual containing all solutions is available via request to the Publisher. Written with a reader-friendly approach and provides a wide range of exercises and numerous figures throughout, allowing readers to gain intuition for solving problems.

A Friendly Approach To Functional Analysis

Author : Amol Sasane
ISBN : 9781786343369
Genre :
File Size : 75. 99 MB
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This book constitutes a concise introductory course on Functional Analysis for students who have studied calculus and linear algebra. The topics covered are Banach spaces, continuous linear transformations, Frechet derivative, geometry of Hilbert spaces, compact operators, and distributions. In addition, the book includes selected applications of functional analysis to differential equations, optimization, physics (classical and quantum mechanics), and numerical analysis. The book contains 197 problems, meant to reinforce the fundamental concepts. The inclusion of detailed solutions to all the exercises makes the book ideal also for self-study. A Friendly Approach to Functional Analysis is written specifically for undergraduate students of pure mathematics and engineering, and those studying joint programmes with mathematics. Request Inspection Copy

Applied Complex Analysis With Partial Differential Equations

Author : Nakhlé H. Asmar
ISBN : 0130892394
Genre : Mathematics
File Size : 85. 47 MB
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This reader-friendly book presents traditional material using a modern approach that invites the use of technology. Abundant exercises, examples, and graphics make it a comprehensive and visually appealing resource. Chapter topics include complex numbers and functions, analytic functions, complex integration, complex series, residues: applications and theory, conformal mapping, partial differential equations: methods and applications, transform methods, and partial differential equations in polar and spherical coordinates. For engineers and physicists in need of a quick reference tool.

An Introduction To Complex Analysis And Geometry

Author : John P. D'Angelo
ISBN : 9780821852743
Genre : Mathematics
File Size : 72. 99 MB
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An Introduction to Complex Analysis and Geometry provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The book developed from courses given in the Campus Honors Program at the University of Illinois Urbana-Champaign. These courses aimed to share with students the way many mathematics and physics problems magically simplify when viewed from the perspective of complex analysis. The book begins at an elementary level but also contains advanced material. The first four chapters provide an introduction to complex analysis with many elementary and unusual applications. Chapters 5 through 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. The 280 exercises range from simple computations to difficult problems. Their variety makes the book especially attractive. A reader of the first four chapters will be able to apply complex numbers in many elementary contexts. A reader of the full book will know basic one complex variable theory and will have seen it integrated into mathematics as a whole. Research mathematicians will discover several novel perspectives.

Analyzing Complex Survey Data

Author : Eun Sul Lee
ISBN : 0761930388
Genre : Social Science
File Size : 89. 87 MB
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This book examines ways to analyze complex surveys, and focuses on the problems of weights and design effects. This new edition incorporates recent practice of analyzing complex survey data, introduces the new analytic approach for categorical data analysis (logistic regression), reviews new software and provides an introduction to the model-based analysis that can be useful analyzing well-designed, relatively small-scale social surveys.

Lies My Teacher Told Me

Author : James W. Loewen
ISBN : 9781595586537
Genre : Education
File Size : 44. 79 MB
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A completely revised edition of James W. Loewen’s classic retelling of American history, based on six new textbooks and including an all-new chapter on the recent past Since its first publication in 1995, Lies My Teacher Told Me has gone on to win an American Book Award and the Oliver Cromwell Cox Award for Distinguished Anti-Racist Scholarship, and has sold over a million copies in its various editions. What started out as a survey of the twelve leading American history textbooks has ended up being what the San Francisco Chronicle calls "an extremely convincing plea for truth in education." In Lies My Teacher Told Me, James W. Loewen brings history alive in all its complexity and ambiguity. Beginning with pre-Columbian history and ranging over characters and events as diverse as Reconstruction, Helen Keller, the first Thanksgiving, and the My Lai massacre, Loewen offers an eye-opening critique of existing textbooks, and a wonderful retelling of American history as it should—and could—be taught to American students. This new edition also features a handsome new cover and a new introduction by the author.

Convex Analysis

Author : Steven G. Krantz
ISBN : 9781498706384
Genre : Mathematics
File Size : 36. 16 MB
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Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics. Convex Analysis introduces analytic tools for studying convexity and provides analytical applications of the concept. The book includes a general background on classical geometric theory which allows readers to obtain a glimpse of how modern mathematics is developed and how geometric ideas may be studied analytically. Featuring a user-friendly approach, the book contains copious examples and plenty of figures to illustrate the ideas presented. It also includes an appendix with the technical tools needed to understand certain arguments in the book, a tale of notation, and a thorough glossary to help readers with unfamiliar terms. This book is a definitive introductory text to the concept of convexity in the context of mathematical analysis and a suitable resource for students and faculty alike.

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