Mathematical Methods in Science and Engineering
eBook - ePub

Mathematical Methods in Science and Engineering

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Mathematical Methods in Science and Engineering

About this book

A Practical, Interdisciplinary Guide to Advanced Mathematical Methods for Scientists and Engineers

Mathematical Methods in Science and Engineering, Second Edition, provides students and scientists with a detailed mathematical reference for advanced analysis and computational methodologies. Making complex tools accessible, this invaluable resource is designed for both the classroom and the practitioners; the modular format allows flexibility of coverage, while the text itself is formatted to provide essential information without detailed study. Highly practical discussion focuses on the "how-to" aspect of each topic presented, yet provides enough theory to reinforce central processes and mechanisms.

Recent growing interest in interdisciplinary studies has brought scientists together from physics, chemistry, biology, economy, and finance to expand advanced mathematical methods beyond theoretical physics. This book is written with this multi-disciplinary group in mind, emphasizing practical solutions for diverse applications and the development of a new interdisciplinary science.

Revised and expanded for increased utility, this new Second Edition:

  • Includes over 60 new sections and subsections more useful to a multidisciplinary audience
  • Contains new examples, new figures, new problems, and more fluid arguments
  • Presents a detailed discussion on the most frequently encountered special functions in science and engineering
  • Provides a systematic treatment of special functions in terms of the Sturm-Liouville theory
  • Approaches second-order differential equations of physics and engineering from the factorization perspective
  • Includes extensive discussion of coordinate transformations and tensors, complex analysis, fractional calculus, integral transforms, Green's functions, path integrals, and more

Extensively reworked to provide increased utility to a broader audience, this book provides a self-contained three-semester course for curriculum, self-study, or reference. As more scientific disciplines begin to lean more heavily on advanced mathematical analysis, this resource will prove to be an invaluable addition to any bookshelf.

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Yes, you can access Mathematical Methods in Science and Engineering by Selçuk S. Bayin in PDF and/or ePUB format, as well as other popular books in Didattica & Didattica della matematica. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley
Year
2018
Print ISBN
9781119425397
eBook ISBN
9781119425458
Edition
2
Topic
Didattica
Subtopic
Didattica della matematica

Table of contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Table of Contents
  5. Preface
  6. Chapter 1: Legendre Equation and Polynomials
  7. Chapter 2: Laguerre Polynomials
  8. Chapter 3: Hermite Polynomials
  9. Chapter 4: Gegenbauer and Chebyshev Polynomials
  10. Chapter 5: Bessel Functions
  11. Chapter 6: Hypergeometric Functions
  12. Chapter 7: Sturm–Liouville Theory
  13. Chapter 8: Factorization Method
  14. Chapter 9: Coordinates and Tensors
  15. Chapter 10: Continuous Groups and Representations
  16. Chapter 11: Complex Variables and Functions
  17. Chapter 12: Complex Integrals and Series
  18. Chapter 13: Fractional Calculus
  19. Chapter 14: Infinite Series
  20. Chapter 15: Integral Transforms
  21. Chapter 16: Variational Analysis
  22. Chapter 17: Integral Equations
  23. Chapter 18: Green's Functions
  24. Chapter 19: Green's Functions and Path Integrals
  25. Further Reading
  26. Index
  27. End User License Agreement