Complex Analysis for Practical Engineering

Complex Analysis for Practical Engineering
Author: Kozo Sato
Publisher: Springer
Total Pages: 312
Release: 2015-03-02
Genre: Technology & Engineering
ISBN: 3319130633

Maximizing reader insights into the fundamentals of complex analysis, and providing complete instructions on how to construct and use mathematical tools to solve engineering problems in potential theory, this book covers complex analysis in the context of potential flow problems. The basic concepts and methodologies covered are easily extended to other problems of potential theory. Featuring case studies and problems that aid readers understanding of the key topics and of their application to practical engineering problems, this book is suitable as a guide for engineering practitioners. The complex analysis problems discussed in this book will prove useful in solving practical problems in a variety of engineering disciplines, including flow dynamics, electrostatics, heat conduction and gravity fields.

Visual Complex Analysis

Visual Complex Analysis
Author: Tristan Needham
Publisher: Oxford University Press
Total Pages: 620
Release: 1997
Genre: Mathematics
ISBN: 9780198534464

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.

Complex Analysis for Mathematics and Engineering

Complex Analysis for Mathematics and Engineering
Author: John H. Mathews
Publisher: WCB/McGraw-Hill
Total Pages: 508
Release: 1996
Genre: Mathematics
ISBN:

This text provides a balance between pure (theoretical) and applied aspects of complex analysis. The many applications of complex analysis to science and engineering are described, and this third edition contains a historical introduction depicting the origins of complex numbers.

Complex Variables with Applications

Complex Variables with Applications
Author: Saminathan Ponnusamy
Publisher: Springer Science & Business Media
Total Pages: 521
Release: 2007-05-26
Genre: Mathematics
ISBN: 0817645136

Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills Encludes numerous examples and applications relevant to science and engineering students

Practical Analysis in One Variable

Practical Analysis in One Variable
Author: Donald Estep
Publisher: Springer Science & Business Media
Total Pages: 621
Release: 2006-04-06
Genre: Mathematics
ISBN: 0387226443

This text places the basic ideas of real analysis and numerical analysis together in an applied setting that is both accessible and motivational to young students. The essentials of real analysis are presented in the context of a fundamental problem of applied mathematics, which is to approximate the solution of a physical model. The framework of existence, uniqueness, and methods to approximate solutions of model equations is sufficiently broad to introduce and motivate all the basic ideas of real analysis. The book includes background and review material, numerous examples, visualizations and alternate explanations of some key ideas, and a variety of exercises ranging from simple computations to analysis and estimates to computations on a computer.

Calculus for Engineering Students

Calculus for Engineering Students
Author: Jesus Martin Vaquero
Publisher: Academic Press
Total Pages: 372
Release: 2020-08-10
Genre: Mathematics
ISBN: 0128172118

Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications. - Organized around project-based rather than traditional homework-based learning - Reviews basic mathematics and theory while also introducing applications - Employs uniform chapter sections that encourage the comparison and contrast of different areas of engineering

Fundamentals: Schrödinger's Equation to Deep Learning

Fundamentals: Schrödinger's Equation to Deep Learning
Author: N.B. Singh
Publisher: N.B. Singh
Total Pages: 225
Release:
Genre: Computers
ISBN:

"Focusing on the journey from understanding Schrödinger's Equation to exploring the depths of Deep Learning, this book serves as a comprehensive guide for absolute beginners with no mathematical backgrounds. Starting with fundamental concepts in quantum mechanics, the book gradually introduces readers to the intricacies of Schrödinger's Equation and its applications in various fields. With clear explanations and accessible language, readers will delve into the principles of quantum mechanics and learn how they intersect with modern technologies such as Deep Learning. By bridging the gap between theoretical physics and practical applications, this book equips readers with the knowledge and skills to navigate the fascinating world of quantum mechanics and embark on the exciting journey of Deep Learning."

Complex Analysis

Complex Analysis
Author: N.B. Singh
Publisher: N.B. Singh
Total Pages: 449
Release:
Genre: Mathematics
ISBN:

Complex Analysis is an introductory textbook designed for absolute beginners, offering a clear and straightforward exploration of complex numbers and functions. The book presents fundamental concepts in a step-by-step manner, making complex analysis accessible to those with little or no prior mathematical knowledge. Through practical examples and intuitive explanations, readers will discover the beauty of complex functions, the significance of Cauchy's integral formula, and the application of power series. Ideal for students and curious learners alike, this book serves as a solid foundation for further studies in mathematics.

Introductory Functional Analysis with Applications

Introductory Functional Analysis with Applications
Author: Erwin Kreyszig
Publisher: John Wiley & Sons
Total Pages: 706
Release: 1991-01-16
Genre: Mathematics
ISBN: 0471504599

KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: Emil Artin Geometnc Algebra R. W. Carter Simple Groups Of Lie Type Richard Courant Differential and Integrai Calculus. Volume I Richard Courant Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics. Volume II Harold M. S. Coxeter Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz Linear Operators, Part Two. Spectral Theory—Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz Linear Operators. Part Three. Spectral Operators Peter Henrici Applied and Computational Complex Analysis. Volume I—Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin Kreyszig Introductory Functional Analysis with Applications P. M. Prenter Splines and Variational Methods C. L. Siegel Topics in Complex Function Theory. Volume I —Elliptic Functions and Uniformizatton Theory C. L. Siegel Topics in Complex Function Theory. Volume II —Automorphic and Abelian Integrals C. L. Siegel Topics In Complex Function Theory. Volume III —Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry

Safety and Reliability. Theory and Applications

Safety and Reliability. Theory and Applications
Author: Marko Cepin
Publisher: CRC Press
Total Pages: 6847
Release: 2017-06-14
Genre: Technology & Engineering
ISBN: 1351809725

Safety and Reliability – Theory and Applications contains the contributions presented at the 27th European Safety and Reliability Conference (ESREL 2017, Portorož, Slovenia, June 18-22, 2017). The book covers a wide range of topics, including: • Accident and Incident modelling • Economic Analysis in Risk Management • Foundational Issues in Risk Assessment and Management • Human Factors and Human Reliability • Maintenance Modeling and Applications • Mathematical Methods in Reliability and Safety • Prognostics and System Health Management • Resilience Engineering • Risk Assessment • Risk Management • Simulation for Safety and Reliability Analysis • Structural Reliability • System Reliability, and • Uncertainty Analysis. Selected special sessions include contributions on: the Marie Skłodowska-Curie innovative training network in structural safety; risk approaches in insurance and fi nance sectors; dynamic reliability and probabilistic safety assessment; Bayesian and statistical methods, reliability data and testing; oganizational factors and safety culture; software reliability and safety; probabilistic methods applied to power systems; socio-technical-economic systems; advanced safety assessment methodologies: extended Probabilistic Safety Assessment; reliability; availability; maintainability and safety in railways: theory & practice; big data risk analysis and management, and model-based reliability and safety engineering. Safety and Reliability – Theory and Applications will be of interest to professionals and academics working in a wide range of industrial and governmental sectors including: Aeronautics and Aerospace, Automotive Engineering, Civil Engineering, Electrical and Electronic Engineering, Energy Production and Distribution, Environmental Engineering, Information Technology and Telecommunications, Critical Infrastructures, Insurance and Finance, Manufacturing, Marine Industry, Mechanical Engineering, Natural Hazards, Nuclear Engineering, Offshore Oil and Gas, Security and Protection, Transportation, and Policy Making.