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Perfect for children aged 10-11 preparing for 11+ Maths and other selective entrance exams, this book contains a huge range of questions at the level of the final tests. The first section of the book focuses on one topic at a time to help children gain understanding and confidence. This is followed by four realistic Assessment Tests to improve their speed and accuracy across a wide range of questions. And if they get stuck or go wrong, the detailed answers make it easy to understand the reasoning behind the questions. This book is ideal for the 11+ tests set by GL Assessment and other test providers, and provides excellent practice for the Kent Test. A separate edition for the CEM tests is also available.
Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebraand today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students. The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.
New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout.
The 11 Plus Maths Question & Answer Book A selection of 400 maths questions that provide realistic and challenging practice for the 11 plus exams. This book is suitable for children aged 10 - 11 and there is a vast variety of question types. These questions are based on the topics from the 11 plus maths specification. The book also has a detailed mark scheme containing answers and clear explanations. Topics covered: - Number and Rounding - The four operations - Fractions, Decimals and Percentages - Ratio - Proportion -Algebra -Sequences -Area, perimeter and circles -Volume and surface area -Angles -Shape and coordinates -Speed, distance and time -Statistics and data -Time, units and conversion -Probability
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.
This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual.
Improve your child's success in class with lots of multiplication and division practice. This book contains problems on multiplication facts, division facts, fill in the blank multiplication for transitioning to division as well as fill in the blank division, multiplying with varying numbers of digits, dividing multiple digit numbers by single and double digit divisors with 1 section having remainders, multiplying and dividing by 10, 100 and 1000 with fill in the blanks. Solutions included.