عنوان

An introduction to complex analysis and the laplace transform

شابک

9780367810283

شابک

9781032162034

شماره

E3397

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

عنوان اصلي

An introduction to complex analysis and the laplace transform

نام عام مواد

[Electronic book]

نام نخستين پديدآور

/ by Vladimir Eiderman.

محل نشرو پخش و غیره

Boca Raton, FL.

نام ناشر، پخش کننده و غيره

: CRC Press, Taylor & Francis Group

تاریخ نشرو بخش و غیره

, 2022.

نام خاص و کميت اثر

xiv, 384 p.

عنوان فروست

(Textbooks in mathematics (Boca Raton, Fla.))

متن يادداشت

Includes bibliographical referenses and index.

متن يادداشت

PrefaceIntroduction1. Complex Numbers and Their Arithmetic Operations with Complex Numbers 2. Functions of a Complex Variable Complex Plane Sequences of Complex Numbers and Their Limits Functions of Complex Variable. Limit and Continuity 3. Differentiation of Functions of a Complex Variable Derivative and Differential The Cauchy-Riemann Equations Analytic Functions Relations between Analytic and Harmonic Functions Geometric Interpretation of a Derivative of a Function of Complex Variable Notion of a Conformal Mapping 4. Conformal Mappings Linear and Linear Fractional Functions Power Function Notion of a Riemann Surface Exponential and Logarithmic Functions General Power Function and Trigonometric Functions Zukowski Function General Properties of Conformal Mappings An Application of Functions of Complex Variable in Hydrodynamics 5. Integration of Functions of a Complex Variable Integral of a Function of Complex Variable Cauchy Theorem Indefinite Integral Fundamental Theorem of Calculus Cauchy⁰́₉s Integral Formula and Their Applications 6. Series Number Series Functional Series Uniform Convergence Power series Expansion of Functions in Power Series Taylor Series Uniqueness Property Analytic Continuation Complete Analytic Function Loran Series 7. Isolated Singularities and Residues Classification of Isolated Singular Points Residue of a Function in an Isolated Singular Point Evaluation of Integrals by Means of Residues Logarithmic Residue and Argument Principle 8. The Laplace Transform Laplace Transform Basic Properties of the Laplace Transform Application of the Laplace Transform to Solving Ordinary Differential Equations 9. Practicum Solving of Typical Problems Tasks for Self-Study Literature Index

بدون عنوان

0

متن يادداشت

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

عنصر شناسه ای

Functions of complex variables

عنصر شناسه ای

Mathematical analysis

عنصر شناسه ای

Laplace transformation

داده رابط بین فیلدها

a04

داده رابط بین فیلدها

a06

داده رابط بین فیلدها

a06

شماره رده

مستند نام اشخاص تاييد نشده

Eiderman, V. Ya. (Vladimir Ya.), 1952- author

کشور

Iran

سازمان

University of Tehran. Library of College of Science

تاريخ و ساعت مذاکره و دسترسي

UT_SCI_BL_DB_1003655_0001.pdf

فرمت انتشار

e

نوع ماده

BL

کد کاربرگه

278840

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y