Mathematical Analysis Tools for Engineering
eBook - PDF
No longer available |Learn more

Mathematical Analysis Tools for Engineering

franco tomarelli

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF
No longer available |Learn more

Mathematical Analysis Tools for Engineering

franco tomarelli

Book details
Table of contents
Citations

About This Book

This book is an introduction to the study of ordinary differential equations and partial differential equations, ranging from elementary techniques to advanced tools. The presentation focusses on initial value problems, boundary value problems, equations with delayed argument and analysis of periodic solutions: main goals are the analysis of diffusion equation, wave equation, Laplace equation and signals. The study of relevant examples of differential models highlights the notion of well-posed problem.
An expanded tutorial chapter collects the topics from basic undergraduate calculus that are used in subsequent chapters.
A wide exposition concerning classical methods for solving problems related to differential equations is available: mainly separation of variables and Fourier series, with basic worked exercises. A whole chapter deals with the analytic functions of complex variable. An introduction to function spaces, distributions and basic notions of functional analysis is present. Several chapters are devoted to Fourier and Laplace transforms methods to solve boundary value problems and initial value problems for differential equations.
Tools for the analysis appear gradually: first in function spaces, then in the more general framework of distributions, where a powerful arsenal of techniques allows dealing with impulsive signals and singularities in both data and solutions of differential problems.
This Second Edition contains additional exercises and a new chapter concerning signals and filters analysis in connection to integral transforms.

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Information

Publisher
Società Editrice Esculapio
Year
2021
ISBN
9791220841580
Topic
Matemáticas
Subtopic
Análisis complejo

Table of contents

  1. Cover
  2. MATHEMATICAL ANALYSIS TOOLS FOR ENGINEERING
  3. Preface
  4. Contents
  5. 1 - Preliminary Calculus Tools
  6. 2 - Partial Differential Equations
  7. 3 - Analytic Functions of complex variable
  8. 4 - Special Functions
  9. 5 - Functional Analysis
  10. 6 - Fourier Transform in L¹ and L²
  11. 7 - Laplace Transform
  12. 8 - Distributions or Generalized Functions
  13. 9 - Heat Equation and other Diffusion Models
  14. 10 - Wave Equation
  15. 11 - Signals and Filters
  16. Chemical Engineering Jan. 24,2020
  17. Chemical Engineering Jun. 16, 2021
  18. Chemical Engineering Jul. 1, 2021
  19. Electrical Engineering Jan. 15,2021
  20. Quiz online
  21. Symbols and notation
  22. References
  23. Index
  24. Back Cover