Introduction To Cubic Spline Interpolation With Examples In Python
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Introduction To Cubic Spline Interpolation With Examples In Python
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Author : Thomas Maindl
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-04-09
Introduction To Cubic Spline Interpolation With Examples In Python written by Thomas Maindl and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-09 with categories.
This textbook will enable you to - discuss polynomial and spline interpolation - explain why using splines is a good method for interpolating data - construct cubic interpolating splines for your own projects It is a self-contained course for students who wish to learn about interpolating cubic splines and for lecturers who seek inspiration for designing a spline interpolation module. The book's innovative concept combines - a slide-based lecture with textual notes - a thorough introduction to the mathematical formalism - exercises - a "rocket science" project that implements constructing interpolating splines in Python for answering questions about the velocity, g-force, and covered distance after the first launch of SpaceX(R)' Falcon(R) Heavy Target group: STEM (science, technology, engineering, and math) students and lecturers at colleges and universities Contents: Preface 1 Cubic spline interpolation 2 Mini-script for constructing cubic splines 3 Spline exercises 4 The rocket launch project 5 Closing remarks Appendix A notebook for periodic cubic splines Index
Introduction To Numerical Programming
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Author : Titus A. Beu
language : en
Publisher: CRC Press
Release Date : 2014-09-03
Introduction To Numerical Programming written by Titus A. Beu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-03 with Mathematics categories.
Makes Numerical Programming More Accessible to a Wider AudienceBearing in mind the evolution of modern programming, most specifically emergent programming languages that reflect modern practice, Numerical Programming: A Practical Guide for Scientists and Engineers Using Python and C/C++ utilizes the author's many years of practical research and tea
An Introduction To Scientific Computing With Matlab And Python Tutorials
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Author : Sheng Xu
language : en
Publisher: CRC Press
Release Date : 2022-06-09
An Introduction To Scientific Computing With Matlab And Python Tutorials written by Sheng Xu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-09 with Mathematics categories.
This textbook is written for the first introductory course on scientific computing. It covers elementary numerical methods for linear systems, root finding, interpolation, numerical integration, numerical differentiation, least squares problems, initial value problems and boundary value problems. It includes short Matlab and Python tutorials to quickly get students started on programming. It makes the connection between elementary numerical methods with advanced topics such as machine learning and parallel computing. This textbook gives a comprehensive and in-depth treatment of elementary numerical methods. It balances the development, implementation, analysis and application of a fundamental numerical method by addressing the following questions. •Where is the method applied? •How is the method developed? •How is the method implemented? •How well does the method work? The material in the textbook is made as self-contained and easy-to-follow as possible with reviews and remarks. The writing is kept concise and precise. Examples, figures, paper-and-pen exercises and programming problems are deigned to reinforce understanding of numerical methods and problem-solving skills.
Hands On Signal Analysis With Python
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Author : Thomas Haslwanter
language : en
Publisher: Springer Nature
Release Date : 2021-05-31
Hands On Signal Analysis With Python written by Thomas Haslwanter and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-31 with Technology & Engineering categories.
This book provides the tools for analyzing data in Python: different types of filters are introduced and explained, such as FIR-, IIR- and morphological filters, as well as their application to one- and two-dimensional data. The required mathematics are kept to a minimum, and numerous examples and working Python programs are included for a quick start. The goal of the book is to enable also novice users to choose appropriate methods and to complete real-world tasks such as differentiation, integration, and smoothing of time series, or simple edge detection in images. An introductory section provides help and tips for getting Python installed and configured on your computer. More advanced chapters provide a practical introduction to the Fourier transform and its applications such as sound processing, as well as to the solution of equations of motion with the Laplace transform. A brief excursion into machine learning shows the powerful tools that are available with Python. This book also provides tips for an efficient programming work flow: from the use of a debugger for finding mistakes, code-versioning with git to avoid the loss of working programs, to the construction of graphical user interfaces (GUIs) for the visualization of data. Working, well-documented Python solutions are included for all exercises, and IPython/Jupyter notebooks provide additional help to get people started and outlooks for the interested reader.
Python Programming And Numerical Methods
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Author : Qingkai Kong
language : en
Publisher: Academic Press
Release Date : 2020-12-02
Python Programming And Numerical Methods written by Qingkai Kong and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-02 with Technology & Engineering categories.
Python Programming and Numerical Methods: A Guide for Engineers and Scientists introduces programming tools and numerical methods to engineering and science students, with the goal of helping the students to develop good computational problem-solving techniques through the use of numerical methods and the Python programming language. Part One introduces fundamental programming concepts, using simple examples to put new concepts quickly into practice. Part Two covers the fundamentals of algorithms and numerical analysis at a level that allows students to quickly apply results in practical settings.
Numerical Methods In Engineering With Python 3
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Author : Jaan Kiusalaas
language : en
Publisher: Cambridge University Press
Release Date : 2013-01-21
Numerical Methods In Engineering With Python 3 written by Jaan Kiusalaas and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-21 with Computers categories.
Provides an introduction to numerical methods for students in engineering. It uses Python 3, an easy-to-use, high-level programming language.
Python For Chemistry
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Author : Dr. M. Kanagasabapathy
language : en
Publisher: BPB Publications
Release Date : 2023-03-20
Python For Chemistry written by Dr. M. Kanagasabapathy and has been published by BPB Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-20 with Computers categories.
A one-stop guide to teach chemists how to use Python for coding and iterations in a hands-on and practical manner KEY FEATURES ● Understand the core Python functions and algorithms for the computation of chemical parameters. ● Learn how to use Cheminformatics modules to process and analyze elemental data and molecular structures. ● Get familiar with the algorithms for numerical and symbolic computations. DESCRIPTION Python is a versatile and powerful computer language without a steep learning curve. It can be deployed to simulate various physicochemical parameters or to analyze complex molecular, bio-molecular, and crystalline structures. The objective of this book is to give a gentle introduction to Python programming with relevant algorithms, iterations, and basic simulations from a chemist’s perspective. This book outlines the fundamentals of Python coding through the built-in functions, libraries, and modules as well as with a few selected external packages for physical/materials/inorganic/analytical/organic/ nuclear chemistry in terms of numerical, symbolic, structural, and graphical data analysis using the default, Integrated Development and Learning Environment. You will also learn about the Structural Elucidation of organic molecules and inorganic complexes with specific Cheminformatics modules. In addition to this, the book covers chemical data analysis with Numpy and also includes topics such as SymPy and Matplotlib for Symbolic calculations and Plotting. By the end of the book, you will be able to use Python as a graphical tool or a calculator for numerical and symbolic computations in the interdisciplinary areas of chemistry. WHAT YOU WILL LEARN ● To fetch elemental, nuclear, atomic or molecular data with list or dictionary functions. ● Understanding the algorithms for the computation of Thermodynamic, Electrochemical, Kinetics, Molecular and Spectral parameters. ● Stoichiometrical calculation of the reactant and product coefficients from Matrices. ● Symbolic computations with reference to Physical Chemistry. ● With Matplotlib package, interpretation and plotting of the analyzed data in the desired graphical format. ● With various cheminformatics modules, correlate the structure of complex and bulkier molecules. WHO THIS BOOK IS FOR This book is for Chemists, Chemical Engineers, Material Scientists, Bio-chemists, Biotechnologists, and Physicists. Students of Chemistry, Chemical Engineering, Materials Chemistry, Biochemistry, Biotechnology, and Physics will find this book resourceful. TABLE OF CONTENTS 1. Understanding Python Functions for Chemistry 2. Computations in Chemistry with NumPy 3. Interpolation, Physico-chemical Constants, and Units with SciPy 4. SymPy for Symbolic Computations in Chemistry 5. Interactive Plotting of Physico-chemical Data with Matplotlib 6. Introduction to Cheminformatics with RDKit 7. ChemFormula for Atomic and Molecular Data 8. Chemlib for Physico-chemical Parameters 9. ChemPy for Computations in Chemistry 10. Mendeleev Package For Atomic and Ionic Data 11. Computations of Parameters of Electrolytes with PyEQL 12. STK Module for Molecular Structures
Introduction To The Tools Of Scientific Computing
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Author : Einar Smith
language : en
Publisher: Springer Nature
Release Date : 2022-10-27
Introduction To The Tools Of Scientific Computing written by Einar Smith and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-27 with Mathematics categories.
The book provides an introduction to common programming tools and methods in numerical mathematics and scientific computing. Unlike standard approaches, it does not focus on any specific language, but aims to explain the underlying ideas. Typically, new concepts are first introduced in the particularly user-friendly Python language and then transferred and extended in various programming environments from C/C++, Julia and MATLAB to Maple and Mathematica. This includes various approaches to distributed computing. By examining and comparing different languages, the book is also helpful for mathematicians and practitioners in deciding which programming language to use for which purposes. At a more advanced level, special tools for the automated solution of partial differential equations using the finite element method are discussed. On a more experimental level, the basic methods of scientific machine learning in artificial neural networks are explained and illustrated.
Introduction To Numerical Analysis
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Author : J. Stoer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Introduction To Numerical Analysis written by J. Stoer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equa tions and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations.
An Introduction To Numerical Computation
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Author : Wen Shen
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-10-27
An Introduction To Numerical Computation written by Wen Shen and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-27 with Mathematics categories.
Developed during ten years of teaching experience, this book serves as a set of lecture notes for an introductory course on numerical computation, at the senior undergraduate level. These notes contain the material that can be covered in a semester, together with a few optional sections for additional reading. Rather than surveying a large number of algorithms, the book presents the most important computational methods and emphasizes the underlying mathematical ideas. In most chapters, graphs and drawings are relied on, to build up intuition. The notes are written in a rather colloquial style, presenting the subject matter in the same form as it can be explained in a classroom. For instructors, this will minimize the amount of effort required to prepare their blackboard presentations.As prerequisites, the book only relies on standard calculus, an introductory course on matrices, and some basic computer programming skills. As a new feature, these notes are supplemented by two sets of videos from the author's Youtube channel. These videos contain a complete set of live lectures given in Spring 2015, together with a complete set of short tutorials, from 5 to 15 minutes each.A set of homework problems is included at the end of each chapter. Homework projects cover a variety of applications, in connection with population dynamics, engineering, mechanics, image reconstruction, etc. A complete set of solutions is available for instructors, upon request.