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Practical Discrete Mathematics
Practical Discrete Mathematics

Practical Discrete Mathematics: Discover math principles that fuel algorithms for computer science and machine learning with Python

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Profile Icon Ryan T. White Profile Icon Ray
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€18.99 per month
Full star icon Full star icon Full star icon Full star icon Half star icon 4.6 (16 Ratings)
Paperback Feb 2021 330 pages 1st Edition
eBook
€27.98 €39.99
Paperback
€49.99
Subscription
Free Trial
Renews at €18.99p/m
Arrow left icon
Profile Icon Ryan T. White Profile Icon Ray
Arrow right icon
€18.99 per month
Full star icon Full star icon Full star icon Full star icon Half star icon 4.6 (16 Ratings)
Paperback Feb 2021 330 pages 1st Edition
eBook
€27.98 €39.99
Paperback
€49.99
Subscription
Free Trial
Renews at €18.99p/m
eBook
€27.98 €39.99
Paperback
€49.99
Subscription
Free Trial
Renews at €18.99p/m

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Practical Discrete Mathematics

Part I – Basic Concepts of Discrete Math

Here you will learn the critical vocabulary, notations, and methods of discrete mathematics, including set theory, functions and relations, logic and proofs, arithmetic, counting, and basic probability as applied to computer science.

This part comprises the following chapters:

  • Chapter 1, Key Concepts, Notation, Set Theory, Relations, and Functions
  • Chapter 2, Formal Logic and Constructing Mathematical Proofs
  • Chapter 3, Computing with Base-n Numbers
  • Chapter 4, Combinatorics Using SciPy
  • Chapter 5, Elements of Discrete Probability
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Key benefits

  • Apply the math of countable objects to practical problems in computer science
  • Explore modern Python libraries such as scikit-learn, NumPy, and SciPy for performing mathematics
  • Learn complex statistical and mathematical concepts with the help of hands-on examples and expert guidance

Description

Discrete mathematics deals with studying countable, distinct elements, and its principles are widely used in building algorithms for computer science and data science. The knowledge of discrete math concepts will help you understand the algorithms, binary, and general mathematics that sit at the core of data-driven tasks. Practical Discrete Mathematics is a comprehensive introduction for those who are new to the mathematics of countable objects. This book will help you get up to speed with using discrete math principles to take your computer science skills to a more advanced level. As you learn the language of discrete mathematics, you’ll also cover methods crucial to studying and describing computer science and machine learning objects and algorithms. The chapters that follow will guide you through how memory and CPUs work. In addition to this, you’ll understand how to analyze data for useful patterns, before finally exploring how to apply math concepts in network routing, web searching, and data science. By the end of this book, you’ll have a deeper understanding of discrete math and its applications in computer science, and be ready to work on real-world algorithm development and machine learning.

Who is this book for?

This book is for computer scientists looking to expand their knowledge of discrete math, the core topic of their field. University students looking to get hands-on with computer science, mathematics, statistics, engineering, or related disciplines will also find this book useful. Basic Python programming skills and knowledge of elementary real-number algebra are required to get started with this book.

What you will learn

  • Understand the terminology and methods in discrete math and their usage in algorithms and data problems
  • Use Boolean algebra in formal logic and elementary control structures
  • Implement combinatorics to measure computational complexity and manage memory allocation
  • Use random variables, calculate descriptive statistics, and find average-case computational complexity
  • Solve graph problems involved in routing, pathfinding, and graph searches, such as depth-first search
  • Perform ML tasks such as data visualization, regression, and dimensionality reduction

Product Details

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Publication date : Feb 22, 2021
Length: 330 pages
Edition : 1st
Language : English
ISBN-13 : 9781838983147
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Product Details

Publication date : Feb 22, 2021
Length: 330 pages
Edition : 1st
Language : English
ISBN-13 : 9781838983147
Category :
Languages :
Concepts :
Tools :

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Practical Discrete Mathematics
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Table of Contents

16 Chapters
Part I – Basic Concepts of Discrete Math Chevron down icon Chevron up icon
Chapter 1: Key Concepts, Notation, Set Theory, Relations, and Functions Chevron down icon Chevron up icon
Chapter 2: Formal Logic and Constructing Mathematical Proofs Chevron down icon Chevron up icon
Chapter 3: Computing with Base-n Numbers Chevron down icon Chevron up icon
Chapter 4: Combinatorics Using SciPy Chevron down icon Chevron up icon
Chapter 5: Elements of Discrete Probability Chevron down icon Chevron up icon
Part II – Implementing Discrete Mathematics in Data and Computer Science Chevron down icon Chevron up icon
Chapter 6: Computational Algorithms in Linear Algebra Chevron down icon Chevron up icon
Chapter 7: Computational Requirements for Algorithms Chevron down icon Chevron up icon
Chapter 8: Storage and Feature Extraction of Graphs, Trees, and Networks Chevron down icon Chevron up icon
Chapter 9: Searching Data Structures and Finding Shortest Paths Chevron down icon Chevron up icon
Part III – Real-World Applications of Discrete Mathematics Chevron down icon Chevron up icon
Chapter 10: Regression Analysis with NumPy and Scikit-Learn Chevron down icon Chevron up icon
Chapter 11: Web Searches with PageRank Chevron down icon Chevron up icon
Chapter 12: Principal Component Analysis with Scikit-Learn 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 4.6
(16 Ratings)
5 star 81.3%
4 star 6.3%
3 star 6.3%
2 star 6.3%
1 star 0%
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amazon222 Mar 28, 2021
Full star icon Full star icon Full star icon Full star icon Full star icon 5
I am a 40+ year old software guy, when i ordered it i did it because it said "practical" :) i was still afraid it would just be a book of x's & y's & fancy notations akin to hieroglyphics better suited to CS grads :)Boy was it a surprise.A fantastic perspective on how all the x's & y's have practical use & was just superb.Even though i do own a few CS & algo books this gave me a different insight to stuff i already knew.Kudo to the authors.Superb.
Amazon Verified review Amazon
Ryan Zurrin Jun 03, 2021
Full star icon Full star icon Full star icon Full star icon Full star icon 5
I love this book, I’ll be taking discrete math over the summer and wanted to get a jump start on the subject. I usually use khan academy but seems they didn’t have a dedicated section on this subject I needed to find another way to get introduced to this stuff and this book, with examples in python, has really been great for me. If you don’t have any experience in things like Boolean algebra or logic it may be a bit confusing at first, but if you already got a bit of a foundation in these things this book will be a breeze.
Amazon Verified review Amazon
MLEngineer Mar 28, 2021
Full star icon Full star icon Full star icon Full star icon Full star icon 5
Disclaimer: The publisher asked me if I would review the book.This is a good book in regards to thinking in a mathematical away about ML & AI. Practically, there is a lot of mathematical and programming work to do in regards to ML & AI. For Computer Scientists: it is a nice introduction to continuous spaces and algorithms on those spaces. For the mathematically inclined: it is a nice introduction on how to pragmatically apply math to in-demand ML.I myself have a math-physics degree and have been an ML Engineer the last few years. This is a great book reconciling CS/Math perspectives.
Amazon Verified review Amazon
MLE PINON OLIVIA Apr 05, 2021
Full star icon Full star icon Full star icon Full star icon Full star icon 5
This book presents, through clear, concise and real world examples, key principles of discrete mathematics, making it a must read for practitioners looking to solve practical problems in computer and data sciences. This book is well-organized, allowing the reader to quickly grasp key concepts and test them out using the provided Python examples. Well done!
Amazon Verified review Amazon
Anirudh P Bhat Feb 22, 2021
Full star icon Full star icon Full star icon Full star icon Full star icon 5
This book covers the basics of discrete mathematics which opens avenues to broader computing projects. As an initiate in the study of computer science, I always believed that the mathematics of the "continuous element" was the most interesting part of engineering analysis. Apart from the necessary introduction to the notions of discrete probability, elementary theory of counting, the theory of graphs, and other additional topics, I did not give it the importance that it had. And this book showed me how wrong I was, because it is a special book for those who decide to learn the discipline in a self-taught way.The way of explaining the topics is very clear, concise, rigorous. In particular, combinatorial analysis and graph theory are presented in a way that satisfies the awake reader. The entire book is presented as separate units and is very enjoyable for anyone who wants to take this discipline seriously. It is an excellent introduction to the subject, a preamble to further studies of algorithms and computation.
Amazon Verified review Amazon
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