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From the algebraic properties of a complete number field, to the analytic properties imposed by the Cauchy integral formula, to the geometric qualities originating from conformality, Complex Variables: A Physical Approach with Applications and MATLAB explores all facets of this subject, with particular emphasis on using theory in practice. The first five chapters encompass the core material of the book. These chapters cover fundamental concepts, holomorphic and harmonic functions, Cauchy theory and its applications, and isolated singularities. Subsequent chapters discuss the argument principle, geometric theory, and conformal mapping, followed by a more advanced discussion of harmonic functions. The author also presents a detailed glimpse of how complex variables are used in the real world, with chapters on Fourier and Laplace transforms as well as partial differential equations and boundary value problems. The final chapter explores computer tools, including MathematicaÂ®, Mapleâ„˘, and MATLABÂ®, that can be employed to study complex variables. Each chapter contains physical applications drawing from the areas of physics and engineering. Offering new directions for further learning, this text provides modern students with a powerful toolkit for future work in the mathematical sciences.

## About book:

## About file:

Security code:

- Series:
**Textbooks in Mathematics** - Author:
**Steven G. Krantz** - Year:
**2007** - Publisher:
**Chapman and Hall/CRC** - Language:
**English** - ISBN:
**1584885807,9781584885801**

- File size:
**7 344 148** - Format:
**pdf**

Security code:

The application of statistical methods to physics is essential. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confronted with. Therefore the text contains more concepts a...

Quantitative Finance is expanding rapidly. One of the aspects of the recent financial crisis is that, given the complexity of financial products, the demand for people with high numeracy skills is likely to grow and this means more recognition will be giv...

Complex Analysis with Applications in Science and Engineering weaves together theory and extensive applicationsÂ in mathematics, physics and engineering. In this edition there are many new problems, revised sections, and an entirely new chapter on analyt...

Nonlinear Optimization in Electrical Engineering with Applications in MATLAB provides an introductory course on nonlinear optimization in electrical engineering, with a focus on applications including the design of electric, microwave and photonic circuit...

One of the most diverse branch of mathematics, complex variables proves enormously valuable for solving problems of heat flow, potential theory, fluid mechanics, electromagnetic theory, aerodynamics and moany others that arise in science and engineering. ...

Essential Mathematica: With Applications to Mathematics and Physics, based on the lecture notes of a course taught at the University of Illinois at Chicago to advanced undergrad and graduate students, teaches how to use Mathematica to solve a wide variety...

Employs a Step-by-Step Modular Approach to Structural Modeling Considering that wavelet transforms have also proved useful in the solution and analysis of engineering mechanics problems, up to now there has been no sufficiently comprehensive text on th...

Provides readers an understanding of the basic physics underlying meta-materials, providing a powerful tool for analyzing their electromagnetic propertiesPeriodic Structures: Mode-Matching Approach and Applications in Electromagnetic Engineering presents ...

Object-Oriented Design with Applications has long been the essential reference to object-oriented technology, which, in turn, has evolved to join the mainstream of industrial-strength software development. In this third edition - the first revision in 13 ...

Market-proven strategies to generate competitive advantage by identifying and always taking care of your best customersThe Seven Keys to Managing Strategic Accounts provides decision makers with a proactive program for profitably managing their largest, m...

The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Kahlerian geometry, and connected with many important pure mathematical branches such as affine differential geometry, homogeneous...

An in-depth examination of the core concepts and general principles of Web application development.This book uses examples from specific technologies (e.g., servlet API or XSL), without promoting or endorsing particular platforms or APIs. Such knowledge i...

This volume contains research material as well as new ideas that will be useful for someone starting research in the arena of nano computing, not at the device level, but the problems one would face at system level design and validation when nano-scopic p...

The latest edition of this bestselling book provides a solid theoretical foundation for understanding operating systems. Authors Abraham Silberschatz and Peter Galvin discuss key concepts that are applicable to a variety of systems. They also present a la...

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