This introduction to discrete mathematics is aimed primarily at undergraduates in mathematics and computer science at the freshmen and sophomore levels. The text has a distinctly applied orientation and begins with a survey of number systems and elementary set theory. Included are discussions of scientific notation and the representation of numbers in computers. Lists are presented as an example of data structures. An introduction to counting includes the Binomial Theorem and mathematical induction, which serves as a starting point for a brief study of recursion. The basics of probability theory are then covered.Graph study is discussed, including Euler and Hamilton cycles and trees. This is a vehicle for some easy proofs, as well as serving as another example of a data structure. Matrices and vectors are then defined. The book concludes with an introduction to cryptography, including the RSA cryptosystem, together with the necessary elementary number theory, e.g., Euclidean algorithm, Fermat's Little Theorem.Good examples occur throughout. At the end of every section there are two problem sets of equal difficulty. However, solutions are only given to the first set. References and index conclude the work.A math course at the college level is required to handle this text. College algebra would be the most helpful.

TASC Math test takers' #1 Choice! Recommended by Test Prep Experts! Get ready to succeed on the TASC no matter your current understanding of math! The perfect guide for students of every level, TASC Math for Dummies will help you incorporate the most effective methods and all the right strategies to get ready for your TASC Math test! This up-to-date guide reflects the 2023 test guidelines and will set you on the right track to hone your math skills, overcome exam anxiety, and boost your confidence. Are you ready to ace the TASC Math test? TASC Math for Dummies creates confident, knowledgeable students that have all the skills they need to succeed on the TASC. It builds a solid foundation of mathematical concepts through easy-to-understand lessons and basic study guides. Not only does this all-inclusive workbook offer everything you will ever need to conquer the TASC Math test, but it also contains two full-length and realistic TASC Math tests that reflect the format and question types on the TASC to help you check your exam-readiness and identify where you need more practice. With this book, students will learn math through structured lessons, complete with a study guide for each segment to help understand and retain concepts after the lesson is complete. It includes everything from: Content 100% aligned with the 2023 TASC test Written by TASC Math tutors and test experts Complete coverage of all TASC Math concepts and topics on the 2023 TASC test Step-by-step guide for all TASC Math topics Over 500 additional TASC math practice questions in both multiple-choice and grid-in formats with answers grouped by topic (so you can focus on your weak areas) Abundant Math skills building exercises to help test-takers approach unfamiliar question types 2 full-length practice tests (featuring new question types) with detailed answers And much more! With this self-study guide, you won't need a math tutor to pave your path to success. TASC Math for Dummies is the only book you'll ever need to master TASC Math concepts and ace the TASC Math test! Ideal for self-study and classroom usage! Visit www.EffortlessMath.com for Online Math Practice

Olympiad problems help able school students flex their mathematical muscles. Good Olympiad problems are unpredictable: this makes them worthwhile but it also makes them seem hard and even unapproachable. The Mathematical Olympiad Handbook contains some of the problems and solutions from the British Mathematical Olympiads from 1965 to 1996 in a form designed to help bright students overcome this barrier.

Deep Learning is the heart of Artificial Intelligence and will become a most important field in Data Science in the near future. Deep Learning has attracted much attention recently. It is usually carried out by the gradient descent method, which is not always easy to understand for beginners. When one starts studying Deep Learning first hurdles are (1) how to choose the learning rate (2) how to avoid being trapped by local minima (3) what is a deep meaning of the minibatch. In this book I plan to offer intuitive answers to these questions within my understandings. As a matter of course, when beginners study Deep Learning some mathematical knowledge from Calculus, Linear Algebra, Statistics and Information are required. In the book I gave minimum knowledge required for understanding Deep learning. After reading the book, readers are encouraged to challenge advanced books of Deep Learning (or Artificial Intelligence).

Math and Crypto Messages is a fun and challenging math game and puzzle. First complete all of the math problems and then use the appropriate decoding key to decrypt the secret messages. Secret messages include general facts, safety tips and positive reinforcement messages. Alexander Prezioso, the creator and author, has served over 20 years in the United States Army. He and his two sons, Brayden and Landon, developed the concept of Math and Crypto Messages while vacationing at one of their favorite vacation locations.

Grade Level: 3-6 CCSS Level: 4-6 Making fractions make sense! This 23-lesson learning unit is packed with hundreds of sequential fraction activities featuring both computation and word problems. As the third book in a series – following Adding Fractions and Subtracting Fractions – these exercises are designed to build upon what students have already learned. From “writing reciprocals of fractions, whole numbers, and mixed numbers,” to “multiplying a proper fraction by a proper fraction,” and on to “using a banana bread recipe to multiply fractions,” the activities in this book progress from learning basic concepts to mastering an understanding of how to multiply fractions. A Post Test and Answer Key are included.