A Friendly Approach to Complex Analysis

✍ Scribed by Sara Maad Sasane, Amol Sasane

Publisher: World Scientific Publishing Company
Year: 2014
Tongue: English
Leaves: 290
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

Readership: Undergraduate students in complex analysis.

✦ Subjects

Mathematical Analysis;Mathematics;Science & Math;Study & Teaching;Mathematics;Science & Math

📜 SIMILAR VOLUMES

A friendly approach to complex analysis

📁 A friendly approach to complex analysis

✍ Maad Sasane, Sara; Sasane, Amol 📂 Library 📅 2014 🏛 World Scientific 🌐 English

"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

A friendly approach to complex analysis

📁 A friendly approach to complex analysis

✍ Sasane, Amol;Sasane, Sara Maad 📂 Library 📅 2014 🏛 World scientific Publishing co pte ltd 🌐 English

Complex Numbers; Elementary Functions; Complex Differentiability and the Cauc -- Riemann Equations; Contour Integration; Cauchy Integral Theorem and Its Consequences; Taylor and Laurent Series; Harmonic Functions.

A Friendly Approach to Complex Analysis

📁 A Friendly Approach to Complex Analysis

✍ Sara Maad Sasane, Amol Sasane 📂 Library 📅 2023 🏛 World Scientific 🌐 English

The book constitutes a basic, concise, yet rigorous first course in complex analysis, for undergraduate students who have studied multivariable calculus and linear algebra. The textbook should be particularly useful for students of joint programmes with mathematics, as well as engineering students s

A Friendly Approach to Complex Analysis

📁 A Friendly Approach to Complex Analysis

✍ Sara Maad Sasane, Amol Sasane 📂 Library 📅 2014 🏛 World Scientific Publishing Company 🌐 English

A Friendly Approach to Functional Analys

📁 A Friendly Approach to Functional Analysis

✍ Amol Sasane 📂 Library 📅 2017 🏛 World Scientific Publishing 🌐 English

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 addi

Friendly Approach To Functional Analysis

📁 Friendly Approach To Functional Analysis, A

✍ Sasane, Amol 📂 Library 📅 2017 🏛 World Scientific Publishing Company 🌐 English

Intro; Contents; Preface; 1. Normed and Banach spaces; 1.1 Vector spaces; 1.2 Normed spaces; 1.3 Topology of normed spaces; 1.4 Sequences in a normed space; Banach spaces; 1.5 Compact sets; 2. Continuous and linear maps; 2.1 Linear transformations; 2.2 Continuous maps; 2.3 The normed space CL(X, Y);