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Mathematics of Machine Learning: Master linear algebra, calculus, and probability for machine learning
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Master linear algebra, calculus, and probability theory for ML.
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- Build a solid foundation in the core math behind machine learning algorithms with this comprehensive guide to linear algebra, calculus, and probability, explained through practical Python examplesPurchase of the print or Kindle book includes a free PDF eBook Key FeaturesMaster linear algebra, calculus, and probability theory for MLBridge the gap between theory and real-world applicationsLearn Python implementations of core mathematical conceptsBook DescriptionMathematics of Machine Learning provides a rigorous yet accessible introduction to the mathematical underpinnings of machine learning, designed for engineers, developers, and data scientists ready to elevate their technical expertise. With this book, you’ll explore the core disciplines of linear algebra, calculus, and probability theory essential for mastering advanced machine learning concepts. PhD mathematician turned ML engineer Tivadar Danka—known for his intuitive teaching style that has attracted 100k+ followers—guides you through complex concepts with clarity, providing the structured guidance you need to deepen your theoretical knowledge and enhance your ability to solve complex machine learning problems. Balancing theory with application, this book offers clear explanations of mathematical constructs and their direct relevance to machine learning tasks. Through practical Python examples, you’ll learn to implement and use these ideas in real-world scenarios, such as training machine learning models with gradient descent or working with vectors, matrices, and tensors. By the end of this book, you’ll have gained the confidence to engage with advanced machine learning literature and tailor algorithms to meet specific project requirements. What you will learnUnderstand core concepts of linear algebra, including matrices, eigenvalues, and decompositionsGrasp fundamental principles of calculus, including differentiation and integrationExplore advanced topics in multivariable calculus for optimization in high dimensionsMaster essential probability concepts like distributions, Bayes' theorem, and entropyBring mathematical ideas to life through Python-based implementationsWho this book is forThis book is for aspiring machine learning engineers, data scientists, software developers, and researchers who want to gain a deeper understanding of the mathematics that drives machine learning. A foundational understanding of algebra and Python, and basic familiarity with machine learning tools are recommended. Table of ContentsVectors and vector spacesThe geometric structure of vector spacesLinear algebra in practice spaces: measuring distancesLinear transformationsMatrices and equationsEigenvalues and eigenvectorsMatrix factorizationsMatrices and graphsFunctionsNumbers, sequences, and seriesTopology, limits, and continuityDifferentiationOptimizationIntegrationMultivariable functionsDerivatives and gradientsOptimization in multiple variablesWhat is probability?Random variables and distributionsThe expected valueThe maximum likelihood estimationIt's just logicThe structure of mathematicsBasics of set theoryComplex numbers
| Publisher | Packt Publishing |
| Publication date | May 30, 2025 |
| Language | English |
| Print length | 730 pages |
| ISBN-10 | 1837027870 |
| ISBN-13 | 978-1837027873 |
| Item Weight | 2.72 pounds (1.23 kg) |
| Dimensions | 7.5 x 1.65 x 9.25 inches (19.1 x 4.2 x 23.5 cm) |
Who Should Buy?
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Aspiring Data Scientists
Ideal for those starting a career in data science seeking foundational knowledge in mathematical concepts for machine learning.
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Undergraduate Students
University students pursuing courses in mathematics, statistics, or computer science will find this material enhances their understanding.
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Machine Learning Enthusiasts
Individuals interested in deepening their knowledge of machine learning frameworks and algorithms through mathematical principles will benefit.
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Beginners Without Background
Complete beginners with no mathematical foundation may struggle and find the concepts too advanced or overwhelming.
PRODUKTO APRAŠYMAS
Klientų klausimai ir atsakymai
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klausimas:
What topics are covered in the Mathematics of Machine Learning book?
Answer: The book covers essential topics including linear algebra, calculus, and probability, which are fundamental for understanding machine learning algorithms. These subjects help build a strong mathematical foundation necessary for grasping complex machine learning concepts. For instance, linear algebra is critical for understanding data structures in machine learning, while calculus is important for optimization techniques. This foundational knowledge enables readers to effectively develop, implement, and troubleshoot machine learning models. -
klausimas:
Who is the target audience for this book?
Answer: This book is designed for students, professionals, and anyone interested in mastering the mathematical concepts behind machine learning. It's ideal for those who already have a basic understanding of mathematics and are looking to deepen their knowledge for practical applications in data science and machine learning projects. By tackling real-world problems and examples, readers can effectively apply mathematical theories to various machine learning scenarios in industries such as finance, healthcare, and technology. -
klausimas:
How can mastering mathematics improve my machine learning skills?
Answer: Mastering mathematics enhances your ability to understand and implement machine learning algorithms more effectively. A strong grasp of linear algebra allows you to manipulate data structures, while calculus helps you optimize models through techniques like gradient descent. Probability enables you to assess model accuracy and uncertainty. This knowledge not only aids in better model performance but also allows you to critically evaluate and troubleshoot existing algorithms in real-world applications. -
klausimas:
Is prior knowledge of mathematics required to read this book?
Answer: While prior exposure to basic mathematical concepts is beneficial, the book provides thorough explanations to accommodate readers with varying levels of expertise. It gradually introduces more complex topics, ensuring that even those with limited backgrounds in mathematics can grasp the essential ideas. This structured approach allows readers to build confidence and gradually tackle more intricate topics relevant to machine learning, making it accessible for self-learners and students alike. -
klausimas:
What practical applications does knowledge from this book enable?
Answer: Knowledge from this book equips you for various applications in fields such as data analysis, artificial intelligence, and predictive modeling. By mastering the underlying mathematical principles, you can design machine learning algorithms, build predictive models, or analyze large datasets effectively. Whether working on a personal project, contributing to a research initiative, or pursuing a career in data science, the skills gained from this book can significantly enhance your ability to solve real-world problems powered by machine learning. -
klausimas:
Can this book help with preparing for machine learning interviews?
Answer: Absolutely! This book is an excellent resource for honing the mathematical skills often assessed in machine learning job interviews. By thoroughly understanding linear algebra, calculus, and probability, you can confidently answer technical questions and tackle case studies related to algorithm design and data interpretation. The comprehensive coverage of mathematical concepts ensures you are well-prepared to demonstrate your analytical capabilities in interviews, making you a strong candidate in the competitive job market of data science. -
klausimas:
How does this book compare to other machine learning resources?
Answer: This book stands out by focusing specifically on the mathematical foundations of machine learning, rather than solely on programming or application tools. Many resources may emphasize case studies or software implementation, while this one prioritizes the underlying mathematics, allowing for a deep understanding of how algorithms function. This unique emphasis prepares readers not just to use machine learning tools, but to innovate and troubleshoot, making it an excellent companion to more application-focused texts. -
klausimas:
Are there exercises or practical examples included in the book?
Answer: Yes, the book includes various exercises and practical examples to reinforce the mathematical concepts covered. These examples not only illustrate the theoretical points but also encourage readers to apply what they have learned to real-world problems. Engaging with these exercises helps to solidify understanding and creates a pathway for learners to connect theory with practice, which is crucial in mastering the application of mathematics in machine learning. -
klausimas:
Where can I buy Mathematics of Machine Learning: Master linear algebra, calculus, and probability for machine learning in Lithuania?
Answer: You can purchase the Mathematics of Machine Learning from Ubuy in Lithuania. Ubuy offers a wide range of books, including those focused on mathematics and machine learning. Shopping through Ubuy provides you with a convenient platform to explore various editions, compare options, and find related products to enhance your knowledge in machine learning. -
klausimas:
What skills can I expect to gain after reading this book?
Answer: After reading this book, you can expect to gain a strong foundation in mathematics that enhances your analytical skills. You’ll learn how to manipulate and analyze data using linear algebra, apply calculus to optimize machine learning models, and understand the principles of probability that underpin data-driven decisions. These skills are vital in various applications, enabling you to tackle complex problems and innovate within the field of machine learning confidently.
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Savybės ir privalumai
- Comprehensive guide to the mathematics behind machine learning.
- Covers linear algebra, calculus, and probability with practical Python examples.
- Written by PhD mathematician and ML engineer Tivadar Danka.
- Ideal for engineers, developers, and data scientists looking to enhance their expertise.
- Balances theory with real-world applications in machine learning.
- Includes a free PDF eBook with the purchase of print or Kindle version.
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