Mastering Discrete Mathematics
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Mastering Discrete Mathematics
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Author : Gautami Devar
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Mastering Discrete Mathematics written by Gautami Devar and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Mastering Discrete Mathematics" is a comprehensive and accessible resource designed to provide readers with a thorough understanding of the fundamental concepts, techniques, and applications of discrete mathematics. Written for students, educators, researchers, and practitioners, we offer a detailed overview of discrete mathematics, a field that deals with countable, distinct objects and structures. We cover a wide range of topics, including sets, logic, proof techniques, combinatorics, graph theory, recurrence relations, and generating functions. Our clear and concise language makes complex mathematical concepts accessible to readers with varying levels of mathematical background. Each concept is illustrated with examples and applications to demonstrate its relevance and practical significance in various domains. Emphasizing the practical applications of discrete mathematics, we explore its use in computer science, cryptography, optimization, network theory, and other scientific disciplines. Each chapter includes exercises and problems to reinforce learning, test understanding, and encourage further exploration of the material. Additional resources, including supplementary materials, interactive exercises, and solutions to selected problems, are available online to complement the book and facilitate self-study and review. Whether you are a student looking to gain a solid foundation in discrete mathematics, an educator seeking to enhance your teaching materials, or a practitioner interested in applying discrete mathematics techniques to real-world problems, "Mastering Discrete Mathematics" offers valuable insights and resources to support your learning and exploration of this fascinating field.
Discrete Mathematics With Proof
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Author : Eric Gossett
language : en
Publisher: John Wiley & Sons
Release Date : 2009-06-22
Discrete Mathematics With Proof written by Eric Gossett and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-22 with Mathematics categories.
A Trusted Guide to Discrete Mathematics with Proof?Now in a Newly Revised Edition Discrete mathematics has become increasingly popular in recent years due to its growing applications in the field of computer science. Discrete Mathematics with Proof, Second Edition continues to facilitate an up-to-date understanding of this important topic, exposing readers to a wide range of modern and technological applications. The book begins with an introductory chapter that provides an accessible explanation of discrete mathematics. Subsequent chapters explore additional related topics including counting, finite probability theory, recursion, formal models in computer science, graph theory, trees, the concepts of functions, and relations. Additional features of the Second Edition include: An intense focus on the formal settings of proofs and their techniques, such as constructive proofs, proof by contradiction, and combinatorial proofs New sections on applications of elementary number theory, multidimensional induction, counting tulips, and the binomial distribution Important examples from the field of computer science presented as applications including the Halting problem, Shannon's mathematical model of information, regular expressions, XML, and Normal Forms in relational databases Numerous examples that are not often found in books on discrete mathematics including the deferred acceptance algorithm, the Boyer-Moore algorithm for pattern matching, Sierpinski curves, adaptive quadrature, the Josephus problem, and the five-color theorem Extensive appendices that outline supplemental material on analyzing claims and writing mathematics, along with solutions to selected chapter exercises Combinatorics receives a full chapter treatment that extends beyond the combinations and permutations material by delving into non-standard topics such as Latin squares, finite projective planes, balanced incomplete block designs, coding theory, partitions, occupancy problems, Stirling numbers, Ramsey numbers, and systems of distinct representatives. A related Web site features animations and visualizations of combinatorial proofs that assist readers with comprehension. In addition, approximately 500 examples and over 2,800 exercises are presented throughout the book to motivate ideas and illustrate the proofs and conclusions of theorems. Assuming only a basic background in calculus, Discrete Mathematics with Proof, Second Edition is an excellent book for mathematics and computer science courses at the undergraduate level. It is also a valuable resource for professionals in various technical fields who would like an introduction to discrete mathematics.
Mastering The History Of Pure And Applied Mathematics
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Author : Toke Knudsen
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-06-04
Mastering The History Of Pure And Applied Mathematics written by Toke Knudsen and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-04 with History categories.
The present collection of essays are published in honor of the distinguished historian of mathematics Professor Emeritus Jesper Lützen. In a career that spans more than four decades, Professor Lützen's scholarly contributions have enhanced our understanding of the history, development, and organization of mathematics. The essays cover a broad range of areas connected to Professor Lützen's work. In addition to this noteworthy scholarship, Professor Lützen has always been an exemplary colleague, providing support to peers as well as new faculty and graduate students. We dedicate this Festschrift to Professor Lützen—as a scholarly role model, mentor, colleague, and friend.
Ai Mastery Trilogy
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Author : Andrew Hinton
language : en
Publisher: Book Bound Studios
Release Date : 1900
Ai Mastery Trilogy written by Andrew Hinton and has been published by Book Bound Studios this book supported file pdf, txt, epub, kindle and other format this book has been release on 1900 with Business & Economics categories.
Dive into the "AI Mastery Trilogy," the ultimate collection for professionals seeking to conquer the world of artificial intelligence (AI). This 3-in-1 compendium is meticulously crafted to guide you from the foundational principles of AI to the intricate mathematical frameworks and practical coding applications that will catapult your expertise to new heights. Book 1: "AI Basics for Managers" by Andrew Hinton is your gateway to understanding and implementing AI in business. It equips managers with the knowledge to navigate the AI landscape, identify opportunities, and lead their organizations toward a future of innovation and growth. Book 2: "Essential Math for AI" demystifies the mathematical backbone of AI, offering a deep dive into the core concepts that fuel AI systems. From linear algebra to game theory, this book is a treasure trove for anyone eager to grasp the numerical and logical foundations that underpin AI's transformative power. Book 3: "AI and ML for Coders" is the hands-on manual for coders ready to harness AI and machine learning in their projects. It provides a comprehensive overview of AI and ML technologies, practical coding advice, and ethical considerations, ensuring you're well-equipped to create cutting-edge, responsible AI applications. The "AI Mastery Trilogy" is more than just a set of books; it's a comprehensive learning journey designed to empower business leaders, mathematicians, and coders alike. Whether you're looking to lead, understand, or build the future of AI, this collection is an indispensable resource for mastering the art and science of one of the most exciting fields in technology. Embrace the AI revolution and secure your copy of the "AI Mastery Trilogy" today!
Key Concepts In Discrete Mathematics
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Author : Udayan Bhattacharya
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Key Concepts In Discrete Mathematics written by Udayan Bhattacharya and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Key Concepts in Discrete Mathematics" offers a comprehensive introduction to the fascinating realm of discrete mathematics, covering a diverse array of topics essential for students and professionals in computer science, mathematics, engineering, and related fields. Through clear explanations, illustrative examples, and engaging exercises, we provide readers with a solid foundation in discrete mathematics and its practical applications. Our book covers a wide range of topics, from fundamental concepts like sets, relations, and functions to advanced topics such as graph theory, combinatorics, and algorithm analysis. We present complex concepts in a clear and accessible manner, with detailed explanations and step-by-step examples guiding readers through each topic. We emphasize practical applications and real-world examples that demonstrate the relevance of discrete mathematics in various fields, including computer science, cryptography, network theory, and optimization. Abundant exercises and problems, ranging from basic to challenging, allow readers to practice and reinforce their understanding of key concepts and techniques. Additional online resources, including solutions to selected exercises, interactive quizzes, and supplementary materials, enhance the learning experience and provide opportunities for further exploration. Whether used as a textbook in a classroom setting or as a self-study guide, "Key Concepts in Discrete Mathematics" serves as an invaluable resource for students seeking to deepen their understanding and for educators and professionals interested in exploring this essential area of mathematics.
Discrete Mathematics
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Author : Douglas E. Ensley
language : en
Publisher: John Wiley & Sons
Release Date : 2005-10-07
Discrete Mathematics written by Douglas E. Ensley and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-07 with Mathematics categories.
These active and well-known authors have come together to create a fresh, innovative, and timely approach to Discrete Math. One innovation uses several major threads to help weave core topics into a cohesive whole. Throughout the book the application of mathematical reasoning is emphasized to solve problems while the authors guide the student in thinking about, reading, and writing proofs in a wide variety of contexts. Another important content thread, as the sub-title implies, is the focus on mathematical puzzles, games and magic tricks to engage students.
Mastery Through Quizzing
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Author : Stan Skrabut
language : en
Publisher: Stan Skrabut
Release Date : 2025-03-24
Mastery Through Quizzing written by Stan Skrabut and has been published by Stan Skrabut this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-24 with Education categories.
"Clear your desks. You have a quiz!"—Few phrases spark more anxiety in students. The tension, the stomach knots, the panicked glances around the room… We’ve all been there. But what if quizzing wasn’t something to dread? What if it became the key to deeper learning, greater confidence, and real mastery instead? Mastery Through Quizzing isn’t just about testing knowledge but transforming how we learn. Whether you're an educator, administrator, or instructional designer, this book will show you how to turn low-stakes assessments into powerful tools for engagement, retention, and long-term success. Discover how to: ✔ Shift from high-pressure exams to a growth-focused quizzing strategy that reduces anxiety and boosts confidence. ✔ Design questions that drive critical thinking, not just memorization. ✔ Leverage technology and test banks to make quizzes more effective and scalable. ✔ Implement a step-by-step Mastery Quizzing Strategy to help students achieve real understanding. Unlike traditional assessments that measure what students don’t know, mastery quizzing helps them build knowledge step by step—reinforcing what they know and guiding them forward. With decades of experience in instructional technology and education, I’ve seen firsthand how this method can transform classrooms. I’m sharing the approach to help you move beyond outdated testing models and create a learning experience that works. It’s time to rethink quizzing. Let’s turn it from a source of stress into a stepping stone for mastery. Scroll up and grab your copy today!
Basic Maths For Nerds Guide Book Ebook
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Author : Matt Kingsley
language : en
Publisher: Matt Kingsley
Release Date : 2024-11-15
Basic Maths For Nerds Guide Book Ebook written by Matt Kingsley and has been published by Matt Kingsley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-15 with Education categories.
Calling all number nerds, code wizards, and curious minds!Are you ready to unlock the secrets of the universe, one equation at a time? Then grab your copy of "Basic Maths for Nerds: and embark on an epic adventure through the fascinating world of mathematics! This isn't your typical boring textbook. Inside these pages, you'll discover: Crystal-clear explanations: Say goodbye to confusing jargon and hello to easy-to-understand language that makes even the most complex concepts click. Mind-blowing real-world applications: Discover how math powers everything from video games and cryptography to space exploration and artificial intelligence. Engaging examples and challenges: Put your skills to the test with fun and challenging problems that will make you feel like a true math whiz. Motivational pep talks: Get inspired by dynamic, expert advice that will keep you motivated and excited to learn. Whether you're a student, a hobbyist, or just someone who loves to geek out on numbers, this book will equip you with the essential tools and knowledge to conquer any mathematical challenge. So, what are you waiting for? Grab your copy today and unleash your inner math genius!
Mastering Data Modeling
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Author : John Carlis
language : en
Publisher: Addison-Wesley Professional
Release Date : 2000-11-10
Mastering Data Modeling written by John Carlis and has been published by Addison-Wesley Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-10 with Computers categories.
Data modeling is one of the most critical phases in the database application development process, but also the phase most likely to fail. A master data modeler must come into any organization, understand its data requirements, and skillfully model the data for applications that most effectively serve organizational needs. Mastering Data Modeling is a complete guide to becoming a successful data modeler. Featuring a requirements-driven approach, this book clearly explains fundamental concepts, introduces a user-oriented data modeling notation, and describes a rigorous, step-by-step process for collecting, modeling, and documenting the kinds of data that users need. Assuming no prior knowledge, Mastering Data Modeling sets forth several fundamental problems of data modeling, such as reconciling the software developer's demand for rigor with the users' equally valid need to speak their own (sometimes vague) natural language. In addition, it describes the good habits that help you respond to these fundamental problems. With these good habits in mind, the book describes the Logical Data Structure (LDS) notation and the process of controlled evolution by which you can create low-cost, user-approved data models that resist premature obsolescence. Also included is an encyclopedic analysis of all data shapes that you will encounter. Most notably, the book describes The Flow, a loosely scripted process by which you and the users gradually but continuously improve an LDS until it faithfully represents the information needs. Essential implementation and technology issues are also covered. You will learn about such vital topics as: The fundamental problems of data modeling The good habits that help a data modeler be effective and economical LDS notation, which encourages these good habits How to read an LDS aloud--in declarative English sentences How to write a well-formed (syntactically correct) LDS How to get users to name the parts of an LDS with words from their own business vocabulary How to visualize data for an LDS A catalog of LDS shapes that recur throughout all data models The Flow--the template for your conversations with users How to document an LDS for users, data modelers, and technologists How to map an LDS to a relational schema How LDS differs from other notations and why "Story interludes" appear throughout the book, illustrating real-world successes of the LDS notation and controlled evolution process. Numerous exercises help you master critical skills. In addition, two detailed, annotated sample conversations with users show you the process of controlled evolution in action.
Mastering Spacy
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Author : Duygu Altinok
language : en
Publisher: Packt Publishing Ltd
Release Date : 2021-07-09
Mastering Spacy written by Duygu Altinok and has been published by Packt Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-09 with Computers categories.
Build end-to-end industrial-strength NLP models using advanced morphological and syntactic features in spaCy to create real-world applications with ease Key FeaturesGain an overview of what spaCy offers for natural language processingLearn details of spaCy's features and how to use them effectivelyWork through practical recipes using spaCyBook Description spaCy is an industrial-grade, efficient NLP Python library. It offers various pre-trained models and ready-to-use features. Mastering spaCy provides you with end-to-end coverage of spaCy's features and real-world applications. You'll begin by installing spaCy and downloading models, before progressing to spaCy's features and prototyping real-world NLP apps. Next, you'll get familiar with visualizing with spaCy's popular visualizer displaCy. The book also equips you with practical illustrations for pattern matching and helps you advance into the world of semantics with word vectors. Statistical information extraction methods are also explained in detail. Later, you'll cover an interactive business case study that shows you how to combine all spaCy features for creating a real-world NLP pipeline. You'll implement ML models such as sentiment analysis, intent recognition, and context resolution. The book further focuses on classification with popular frameworks such as TensorFlow's Keras API together with spaCy. You'll cover popular topics, including intent classification and sentiment analysis, and use them on popular datasets and interpret the classification results. By the end of this book, you'll be able to confidently use spaCy, including its linguistic features, word vectors, and classifiers, to create your own NLP apps. What you will learnInstall spaCy, get started easily, and write your first Python scriptUnderstand core linguistic operations of spaCyDiscover how to combine rule-based components with spaCy statistical modelsBecome well-versed with named entity and keyword extractionBuild your own ML pipelines using spaCyApply all the knowledge you've gained to design a chatbot using spaCyWho this book is for This book is for data scientists and machine learners who want to excel in NLP as well as NLP developers who want to master spaCy and build applications with it. Language and speech professionals who want to get hands-on with Python and spaCy and software developers who want to quickly prototype applications with spaCy will also find this book helpful. Beginner-level knowledge of the Python programming language is required to get the most out of this book. A beginner-level understanding of linguistics such as parsing, POS tags, and semantic similarity will also be useful.