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15 Math Concepts Every Data Scientist Should Know
15 Math Concepts Every Data Scientist Should Know

15 Math Concepts Every Data Scientist Should Know: Understand and learn how to apply the math behind data science algorithms

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15 Math Concepts Every Data Scientist Should Know

Part 1: Essential Concepts

In this part, we will introduce the math concepts that you will encounter again and again as a data scientist. These concepts are vital to gain a good understanding of. After a recap of basic math notation, we look at the concepts related to how data is produced and then move through to concepts related to how to transform data, finally building up to our end goal of how to model data. These concepts are essential because you will use and combine them simultaneously in your work. By the end of Part 1, you will be comfortable with the math concepts that underpin almost all data science models and algorithms.

This section contains the following chapters:

  • Chapter 1, Recap of Mathematical Notation and Terminology
  • Chapter 2, Random Variables and Probability Distributions
  • Chapter 3, Matrices and Linear Algebra
  • Chapter 4, Loss Functions and Optimization
  • Anchor 5, Probabilistic Modeling
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Key benefits

  • Understand key data science algorithms with Python-based examples
  • Increase the impact of your data science solutions by learning how to apply existing algorithms
  • Take your data science solutions to the next level by learning how to create new algorithms
  • Purchase of the print or Kindle book includes a free PDF eBook

Description

Data science combines the power of data with the rigor of scientific methodology, with mathematics providing the tools and frameworks for analysis, algorithm development, and deriving insights. As machine learning algorithms become increasingly complex, a solid grounding in math is crucial for data scientists. David Hoyle, with over 30 years of experience in statistical and mathematical modeling, brings unparalleled industrial expertise to this book, drawing from his work in building predictive models for the world's largest retailers. Encompassing 15 crucial concepts, this book covers a spectrum of mathematical techniques to help you understand a vast range of data science algorithms and applications. Starting with essential foundational concepts, such as random variables and probability distributions, you’ll learn why data varies, and explore matrices and linear algebra to transform that data. Building upon this foundation, the book spans general intermediate concepts, such as model complexity and network analysis, as well as advanced concepts such as kernel-based learning and information theory. Each concept is illustrated with Python code snippets demonstrating their practical application to solve problems. By the end of the book, you’ll have the confidence to apply key mathematical concepts to your data science challenges.

Who is this book for?

This book is for data scientists, machine learning engineers, and data analysts who already use data science tools and libraries but want to learn more about the underlying math. Whether you’re looking to build upon the math you already know, or need insights into when and how to adopt tools and libraries to your data science problem, this book is for you. Organized into essential, general, and selected concepts, this book is for both practitioners just starting out on their data science journey and experienced data scientists.

What you will learn

  • Master foundational concepts that underpin all data science applications
  • Use advanced techniques to elevate your data science proficiency
  • Apply data science concepts to solve real-world data science challenges
  • Implement the NumPy, SciPy, and scikit-learn concepts in Python
  • Build predictive machine learning models with mathematical concepts
  • Gain expertise in Bayesian non-parametric methods for advanced probabilistic modeling
  • Acquire mathematical skills tailored for time-series and network data types
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Publication date, Length, Edition, Language, ISBN-13
Publication date : Aug 16, 2024
Length: 510 pages
Edition : 1st
Language : English
ISBN-13 : 9781837634187
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Table of Contents

20 Chapters
Part 1: Essential Concepts Chevron down icon Chevron up icon
Chapter 1: Recap of Mathematical Notation and Terminology Chevron down icon Chevron up icon
Chapter 2: Random Variables and Probability Distributions Chevron down icon Chevron up icon
Chapter 3: Matrices and Linear Algebra Chevron down icon Chevron up icon
Chapter 4: Loss Functions and Optimization Chevron down icon Chevron up icon
Chapter 5: Probabilistic Modeling Chevron down icon Chevron up icon
Part 2: Intermediate Concepts Chevron down icon Chevron up icon
Chapter 6: Time Series and Forecasting Chevron down icon Chevron up icon
Chapter 7: Hypothesis Testing Chevron down icon Chevron up icon
Chapter 8: Model Complexity Chevron down icon Chevron up icon
Chapter 9: Function Decomposition Chevron down icon Chevron up icon
Chapter 10: Network Analysis Chevron down icon Chevron up icon
Part 3: Selected Advanced Concepts Chevron down icon Chevron up icon
Chapter 11: Dynamical Systems Chevron down icon Chevron up icon
Chapter 12: Kernel Methods Chevron down icon Chevron up icon
Chapter 13: Information Theory Chevron down icon Chevron up icon
Chapter 14: Non-Parametric Bayesian Methods Chevron down icon Chevron up icon
Chapter 15: Random Matrices Chevron down icon Chevron up icon
Index Chevron down icon Chevron up icon
Other Books You May Enjoy Chevron down icon Chevron up icon

Customer reviews

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Rating distribution
Full star icon Full star icon Full star icon Full star icon Half star icon 4.3
(6 Ratings)
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4 star 0%
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1 star 16.7%
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Pablo Cepeda Oct 26, 2024
Full star icon Full star icon Full star icon Full star icon Full star icon 5
Nice book
Feefo Verified review Feefo
Amazon Customer Sep 22, 2024
Full star icon Full star icon Full star icon Full star icon Full star icon 5
The book is structured around 15 crucial concepts that form the bedrock of data science. From the very beginning, readers are introduced to foundational topics like random variables and probability distributions. Hoyle's clear explanations help readers grasp why data varies, setting a solid groundwork for the more complex ideas that follow. The transition into matrices and linear algebra is seamless, making complex mathematical concepts accessible even to those who may not have a strong math background.The progression from essential to advanced topics — such as kernel methods, information theory, and Bayesian non-parametric methods — is methodical and well-paced. The inclusion of topics like time series forecasting and network analysis further enriches the book, catering to a diverse range of interests within the data science community.Overall, this book is a significant contribution to the field of data science literature. It not only elucidates the mathematical principles that underpin various algorithms but also empowers readers to become more proficient in applying these concepts to real-world scenarios. For anyone serious about mastering data science, Hoyle’s work is a must-read, offering a blend of theory and practice that is sure to enhance your analytical capabilities.
Amazon Verified review Amazon
Gabriel Preda Sep 27, 2024
Full star icon Full star icon Full star icon Full star icon Full star icon 5
If you got here, you are planning probably to buy and read this book. Which will be an excellent idea, because is giving you the best value for money for this type of books. Let's see why the book structure, its content quality, the quality of printing, all are providing good reasons to do it.Structure: The book is structured in three parts, covering concepts gradually increasing in difficulty, from basic and introductory notions to intermediate and advanced. In the first part the basic principles in random numbers and probability distribution, matrices and linear algebra, loss functions, optimisation, probabilistic modeling are covered. In the second part, the book will tackle time series and forecasting, hypothesis testing, and model complexity, followed by function decomposition, and network analysis. In the last part, the more advanced topics of dynamical systems, kernel methods, information theory, non-parametric Bayesian methods and random matrices are covered.Content quality: The author is a former university professor and you can see that in the consistency of the material he included, as well as in the clear explanations of the notions, so that you can keep pace not only with the introductory chapters but also with the most advanced ones. The book is well documented, the notations are carefully edited, the narative is clear and easy to follow. This easiness to follow the content is supported by the author’s choice to add summaries, example, and further reading recommendations, depending on what is adequate in the specific case, to the end of each chapter. This helps the reader to crystallise his recently learned topics.Typography: When you read this book, you enjoy not only the quality of the content and the way that the author explains rather complex notions so that you can follow, but also the quality of the typography. A beautiful font (I read it on a paperback copy), with clear tables and beautifully rendered images, in color (which for a technical book, especially when graph are presented, is a very useful feature).Summary: An easy to read, well documented, highly recommended reference for those of you that takes seriously the Data Science specialisation. And an excellent introduction in the basic tools for the Data Scientist.
Amazon Verified review Amazon
Steven Fernandes Sep 12, 2024
Full star icon Full star icon Full star icon Full star icon Full star icon 5
Title: Elevate Your Data Science Skills: A Comprehensive GuideReview:This book is a comprehensive toolkit for anyone looking to deepen their data science expertise. It covers foundational concepts and advanced techniques, using real-world challenges to illustrate the application of theories. Practical implementations using Python libraries like NumPy, SciPy, and sci-kit-learn are detailed, alongside guidance on building predictive models and mastering Bayesian methods. It’s especially valuable for those interested in time series and network data. A must-have for aspiring and seasoned data scientists alike.
Amazon Verified review Amazon
Sai Kumar Bysani Oct 18, 2024
Full star icon Full star icon Full star icon Full star icon Full star icon 5
The book encompasses a wide array of mathematical concepts essential for data science, including:1. 𝐑𝐚𝐧𝐝𝐨𝐦 𝐕𝐚𝐫𝐢𝐚𝐛𝐥𝐞𝐬 & 𝐏𝐫𝐨𝐛𝐚𝐛𝐢𝐥𝐢𝐭𝐲 𝐃𝐢𝐬𝐭𝐫𝐢𝐛𝐮𝐭𝐢𝐨𝐧𝐬: Understanding the foundations of randomness and how different distributions impact data interpretation.2. 𝐋𝐢𝐧𝐞𝐚𝐫 𝐀𝐥𝐠𝐞𝐛𝐫𝐚: Key concepts like matrices and vectors that form the backbone of many algorithms used in machine learning and data analysis.3. 𝐋𝐨𝐬𝐬 𝐅𝐮𝐧𝐜𝐭𝐢𝐨𝐧𝐬 & 𝐎𝐩𝐭𝐢𝐦𝐢𝐳𝐚𝐭𝐢𝐨𝐧: Insight into how these elements are crucial for training models and making predictions.4. 𝐏𝐫𝐨𝐛𝐚𝐛𝐢𝐥𝐢𝐬𝐭𝐢𝐜 𝐌𝐨𝐝𝐞𝐥𝐢𝐧𝐠: Techniques for making inferences and predictions based on observed data.5. 𝐇𝐲𝐩𝐨𝐭𝐡𝐞𝐬𝐢𝐬 𝐓𝐞𝐬𝐭𝐢𝐧𝐠: A fundamental aspect of data science that helps in validating assumptions and claims based on data.6. 𝐓𝐢𝐦𝐞 𝐒𝐞𝐫𝐢𝐞𝐬 𝐀𝐧𝐚𝐥𝐲𝐬𝐢𝐬: Methods for analyzing data points collected or recorded at specific time intervals, essential for forecasting....and many more important math concepts!I like how the book combines theory with practical application, providing Python code snippets that help readers see how these concepts are applied in real-world scenarios. This practical focus makes the book particularly beneficial for those who learn best by doing.Whether you’re new to data science or looking to sharpen your skills, this book serves as a solid reference guide and a stepping stone to deeper understanding. It encourages readers to not only grasp the math but to apply it effectively in their data science projects.In conclusion, if you're looking to enhance your mathematical toolkit and elevate your data science skills, I highly recommend picking up this book. It’s a great addition to any data scientist’s library and a fantastic resource for professional growth.
Amazon Verified review Amazon
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