Packt+ | Advance your knowledge in tech

0

All Products

Best Sellers

New Releases

Books

Videos

Audiobooks

Free Learning

SciPy Recipes

You're reading from SciPy Recipes A cookbook with over 110 proven recipes for performing mathematical and scientific computations

Product type Paperback

Published in Dec 2017

Publisher Packt

ISBN-13 9781788291460

Length 386 pages

Edition 1st Edition

Languages

Python

Tools

SciPy

Concepts

Data Analysis

Authors (3):

Martins

Ruben Oliva Ramos

V Kishore Ayyadevara

View More author details

Table of Contents (17) Chapters

Title Page

Credits

About the Authors

About the Reviewer

www.PacktPub.com

Customer Feedback

Preface

1. Getting to Know the Tools FREE CHAPTER

2. Getting Started with NumPy

3. Using Matplotlib to Create Graphs

4. Data Wrangling with pandas

5. Matrices and Linear Algebra

6. Solving Equations and Optimization

7. Constants and Special Functions

8. Calculus, Interpolation, and Differential Equations

9. Statistics and Probability

10. Advanced Computations with SciPy

Bessel functions

In this section, we will explore the fundamentals of Bessel functions and their applications.

Getting ready...

The requirement is to have the SymPy library installed to use the following functions.

How to do it...

Take the following steps to use a Bessel function:

Install the proper function
Execute the function
Solve the function
The result will be presented

In the following table we show in the first column the name of the function and the description of each one.

Function	Description
`jv(v, z)`	Bessel function of the first kind of real order and complex argument
`jn(v, z)`	Bessel function of the first kind of real order and complex argument
`jve(v, z)`	Exponentially scaled Bessel function of order `v`
`yn(n, x)`	Bessel function of the second kind of integer order and real argument
`yv(v, z)`	Bessel function of the second kind of real order and complex argument
`yve(v, z)`	Exponentially scaled Bessel function of the second kind of real order
`kn(n, x)`	Modified Bessel function of the second kind of integer order...

The rest of the chapter is locked

Register for a free Packt account to unlock a world of extra content!

A free Packt account unlocks extra newsletters, articles, discounted offers, and much more. Start advancing your knowledge today.

Unlock this book and the full library FREE for 7 days

Get unlimited access to 7000+ expert-authored eBooks and videos courses covering every tech area you can think of

Start free trial

Renews at $15.99/month. Cancel anytime

Authors (3)

Martins

Martins

Luiz Felipe Martins holds a PhD in applied mathematics from Brown University and has worked as a researcher and educator for more than 20 years. His research is mainly in the field of applied probability. He has been involved in developing code for the open source homework system, WeBWorK, where he wrote a library for the visualization of systems of differential equations. He was supported by an NSF grant for this project. Currently, he is an Associate Professor in the Department of Mathematics at Cleveland State University, Cleveland, Ohio, where he has developed several courses in applied mathematics and scientific computing. His current duties include coordinating all first-year calculus sessions.

See other products by Martins

Ruben Oliva Ramos

Ruben Oliva Ramos

Ruben Oliva Ramos is a computer systems engineer from Tecnologico de Leon Institute, with a master's degree in computer and electronic systems engineering and a specialization in teleinformatics and networking from the University of Salle Bajio in Leon, Guanajuato, Mexico. He has more than 5 years of experience of developing web applications to control and monitor devices connected with Arduino and Raspberry Pi, using web frameworks and cloud services to build the Internet of Things applications. He is a mechatronics teacher at the University of Salle Bajio and teaches students of the master's degree in design and engineering of mechatronics systems. Ruben also works at Centro de Bachillerato Tecnologico Industrial 225 teaching subjects such as electronics, robotics and control, automation, and microcontrollers. He is a consultant and developer for projects in areas such as monitoring systems and datalogger data using technologies (such as Android, iOS, HTML5, and ASP.NET), databases (such as SQlite, MongoDB, and MySQL), web servers, hardware programming, and control and monitor systems for data acquisition and programming.

See other products by Ruben Oliva Ramos

V Kishore Ayyadevara

V Kishore Ayyadevara

Kishore Ayyadevara is an entrepreneur and a hands-on leader working at the intersection of technology, data, and AI to identify and solve business problems. With over a decade of experience in leadership roles, Kishore has established and grown successful applied data science teams at American Express and Amazon, as well as a top health insurance company. In his current role, he is building a start-up focused on making AI more accessible to healthcare organizations. Outside of work, Kishore has shared his knowledge through his five books on ML/AI, is an inventor with 12 patents, and has been a speaker at multiple AI conferences.

See other products by V Kishore Ayyadevara

Other recommended products

Related to this chapter

Learning pandas

Learning pandas

Pandas is a popular Python package used for practical, real world data analysis. It provides efficient fast, high-performance data structures that makes data exploration and analysis very easy. This learner's guide will help you through a comprehensive set of features provided by the pandas library to perform efficient data manipulation and analysis.

Jun 2017 14h 52m

Hands-On Data Analysis with NumPy and Pandas

Hands-On Data Analysis with NumPy and Pandas

In this book, you will explore two important Python packages used by Data Analysts, NumPy & pandas. You will dive into different concepts such as reading, sorting, grouping of data, and also learn how to work with different data formats for your data analysis projects.

Jun 2018 5h 36m

Applying Math with Python

Applying Math with Python

Python has a number of powerful packages to help anyone tackle complex mathematical problems in a simple and efficient way. This practical guide explains how to model real-world problems as mathematical objects in Python and how to perform computations, and interpret results. It explores Python lang to solve a variety of math and statistics problems.

Jul 2020 11h 56m

Scientific Computing with Python

Scientific Computing with Python

Python is an efficient tool for coupling scientific computing and mathematics. This book teaches you how to use it for linear algebra, arrays, plotting, iterating, functions, and polynomials. You'll explore task automation and understand essential math concepts and algorithms along with integrations for faster computation in scientific computing.

Jul 2021 13h 4m

Become a Python Data Analyst

Become a Python Data Analyst

Become a Python Data Analyst book introduces you to the mainstream libraries of Python's Data Science stack. With proven examples and real-world datasets, this book teaches how to effectively perform data manipulation, visualize and analyze data patterns and brings you to the ladder of advanced topics like Predictive Analytics.

Aug 2018 5h 56m

Statistics Crash Course for Beginners

Statistics Crash Course for Beginners

Through both theoretical and practical study with Python, this course will get you up to speed with all you need to know about statistics in programming—a core study of machine learning.

Mar 2021 10h 58m

Python Data Analysis

Python Data Analysis

This book takes a practical approach to Python data analysis, showing you how to use Python libraries such as pandas, NumPy, SciPy, and scikit-learn to analyze a variety of data. You'll also get up to speed with everything from data manipulation to visualization systematically.

Feb 2021 15h 56m

Python Data Analysis

Python Data Analysis

This book will show data analysis tasks, ranging from data retrieval, cleaning, manipulation, visualization, and storage to complex analysis and modeling using a variety of modules such as NumPy, SciPy, matplotlib, pandas, scikit-learn, and NLTK. You will be able to analyze different kinds of data including numeric, text, time-series, graph, and social media.

Mar 2017 11h 0m

Mastering Numerical Computing with NumPy

Mastering Numerical Computing with NumPy

Mastering Numerical Computing with Python guides you in performing complex computing with cutting-edge coverage on advanced concepts such as exploratory data analysis and clustering algorithms. You'll become an expert in addressing matrix calculations, and write efficient NumPy codes for implementing algorithms with real-world examples.

Jun 2018 8h 16m

The Statistics and Calculus with Python Workshop

The Statistics and Calculus with Python Workshop

The Statistics and Calculus with Python Workshop is ideal for those who need a refresher in the mathematics that make the practical applications of modern artificial intelligence possible. Starting with foundational mathematical concepts like functions and matrices, the book covers the entire spectrum of calculus and statistics, teaching you the techniques you need to solve mathematical challenges with Python and AI.

Aug 2020 24h 40m

Machine Learning for Developers

Machine Learning for Developers

Most of us have heard about the term Machine Learning, but surprisingly the frequently asked question by developers across the globe is “How do I get started in Machine Learning?”. One reason could be attributed to the vastness of the subject area because of which people often get overwhelmed by the abstractness and of ML and the terms such as regression, supervised learning, probability density function etc. This book will be a systematic guide teaching you can implement various machine learning techniques to their day-to-day application development.

IPython Interactive Computing and Visualization Cookbook

IPython Interactive Computing and Visualization Cookbook

IPython Interactive Computing and Visualization Cookbook, Second Edition shows you how to analyze and visualize data in the Jupyter Notebook. It will help you become an expert in high-performance computing and visualization for data analysis and scientific modeling.

Jan 2018 18h 16m

Personalised recommendations for you

Based on your interests and search pattern

Mathematics of Machine Learning

Mathematics of Machine Learning

Deepen your theoretical knowledge and enhance your ability to solve complex machine learning problems with structured guidance. Gain the confidence to engage with advanced ML literature and tailor algorithms to meet your project requirements.

May 2025 24h 20m

Generative AI with Python and PyTorch

Generative AI with Python and PyTorch

Learn how to create images and text using VAEs, GANs, LSTMs, and transformers. Implement applications in natural language processing and computer vision through practical tutorials.

Mar 2025 15h 0m

Practical Generative AI with ChatGPT

Practical Generative AI with ChatGPT

This book helps you unlock ChatGPT's potential to make your working life better. From prompt engineering to creating custom GPTs, you'll enhance your productivity, creativity, and efficiency with practical insights and advanced techniques.

Apr 2025 12h 52m

Generative AI with LangChain

Generative AI with LangChain

Gain a solid foundation in LangChain, agentic AI, and LangGraph, and learn to build production-ready systems with multi-agent architectures, advanced RAG pipelines, Tree of Thought reasoning, agent handoffs, and fine-grained error handling.

May 2025 15h 52m

Architecting Power BI Solutions in Microsoft Fabric

Architecting Power BI Solutions in Microsoft Fabric

Power BI provides several options to solve common data problems, and designing the correct solution for each scenario can be a daunting task. This book makes it easier by guiding you through designing optimal solutions using Power BI.

Apr 2025 14h 16m

Microsoft Identity and Access Administrator SC-300 Exam Guide

Microsoft Identity and Access Administrator SC-300 Exam Guide

This comprehensive guide covers key topics such as Microsoft Entra ID implementation, authentication and access management, external user management, and hybrid identity solutions, providing practical insights and techniques for SC-300 exam success.

Mar 2025 19h 48m

LLM Design Patterns

LLM Design Patterns

This book helps you gain practical skills to develop and deploy LLMs. You'll learn data prep, training, pruning, quantization, and evaluation, as well as explore RAG, advanced prompting, and optimization to build robust, scalable language models.

May 2025 17h 48m

Tableau Cookbook for Experienced Professionals

Tableau Cookbook for Experienced Professionals

Advance your Tableau knowledge beyond the basics, streamline dashboard performance, tackle advanced geospatial challenges, and unlock API potential while fortifying your corporate data infrastructure with proven best practices.

Apr 2025 12h 24m

Time Series Analysis with Spark

Time Series Analysis with Spark

This book offers a complete guide to time series analysis with Apache Spark and Databricks, covering essential concepts and advanced techniques including Generative AI to equip readers with skills for real-world challenges across industries.

Mar 2025 9h 56m

Hands-On Artificial Intelligence for IoT

Hands-On Artificial Intelligence for IoT

Transform IoT systems with the power of artificial intelligence using this hands-on guide. Dive into practical techniques and expert insights to innovate and optimize your IoT devices, making them smarter and more efficient.

May 2025 15h 44m