Mathematical Methods using Python
eBook - ePub

Mathematical Methods using Python

Applications in Physics and Engineering

  1. 504 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Mathematical Methods using Python

Applications in Physics and Engineering

About this book

This advanced undergraduate textbook presents a new approach to teaching mathematical methods for scientists and engineers. It provides a practical, pedagogical introduction to utilizing Python in Mathematical and Computational Methods courses. Both analytical and computational examples are integrated from its start. Each chapter concludes with a set of problems designed to help students hone their skills in mathematical techniques, computer programming, and numerical analysis. The book places less emphasis on mathematical proofs, and more emphasis on how to use computers for both symbolic and numerical calculations. It contains 182 extensively documented coding examples, based on topics that students will encounter in their advanced courses in Mechanics, Electronics, Optics, Electromagnetism, Quantum Mechanics etc.

An introductory chapter gives students a crash course in Python programming and the most often used libraries (SymPy, NumPy, SciPy, Matplotlib). This is followed by chapters dedicated to differentiation, integration, vectors and multiple integration techniques. The next group of chapters covers complex numbers, matrices, vector analysis and vector spaces. Extensive chapters cover ordinary and partial differential equations, followed by chapters on nonlinear systems and on the analysis of experimental data using linear and nonlinear regression techniques, Fourier transforms, binomial and Gaussian distributions. The book is accompanied by a dedicated GitHub website, which contains all codes from the book in the form of ready to run Jupyter notebooks. A detailed solutions manual is also available for instructors using the textbook in their courses.

Key Features:

  • A unique teaching approach which merges mathematical methods and the Python programming skills which physicists and engineering students need in their courses
  • Uses examples and models from physical and engineering systems, to motivate the mathematics being taught
  • Students learn to solve scientific problems in three different ways: traditional pen-and-paper methods, using scientific numerical techniques with NumPy and SciPy, and using Symbolic Python (SymPy).

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Yes, you can access Mathematical Methods using Python by Vasilis Pagonis,Christopher Wayne Kulp in PDF and/or ePUB format, as well as other popular books in Computer Science & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Dedication Page
  6. Contents
  7. Preface
  8. Chapter 1 Introduction to Python
  9. Chapter 2 Differentiation
  10. Chapter 3 Integration
  11. Chapter 4 Vectors
  12. Chapter 5 Multiple Integrals
  13. Chapter 6 Complex Numbers
  14. Chapter 7 Matrices
  15. Chapter 8 Vector Analysis
  16. Chapter 9 Vector Spaces
  17. Chapter 10 Ordinary Differential Equations
  18. Chapter 11 Partial Differential Equations
  19. Chapter 12 Analysis of Nonlinear Systems
  20. Chapter 13 Analysis of Experimental Data
  21. Further Reading and Additional Resources
  22. Index