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A Course in Arithmetic

A Course in Arithmetic
Author: J-P. Serre
Publisher: Springer Science & Business Media
Total Pages: 126
Release: 2012-12-06
Genre: Mathematics
ISBN: 1468498843

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This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.


Instruction in Mathematics

Instruction in Mathematics
Author: Edwin Scott Lide
Publisher:
Total Pages: 88
Release: 1933
Genre: Mathematics
ISBN:

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Arithmetic and Pre-Algebra in 30 Days

Arithmetic and Pre-Algebra in 30 Days
Author: Reza Nazari
Publisher: Reza Nazari
Total Pages: 195
Release: 2018-07-06
Genre: Mathematics
ISBN: 1722443812

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The Best Book to Prepare for Arithmetic and Pre-Algebra Exam! The goal of this book is simple. It will help you incorporate the best method and the right strategies to prepare for the Arithmetic and Pre-Algebra exam FAST and EFFECTIVELY. Arithmetic and Pre-Algebra in 30 Days helps you learn all Math topics that you will need to prepare for the Arithmetic and Pre-Algebra exam. You only need to spend about 90-120 minutes daily in your 30-day period in order to ace the Arithmetic and Pre-Algebra exam. This book with more than 2,500 math questions is all you will ever need to fully prepare for the Arithmetic and Pre-Algebra. Arithmetic and Pre-Algebra in 30 Days provides students with the confidence and math skills they need to succeed on the Arithmetic and Pre-Algebra exams, providing a solid foundation of basic Math topics with abundant exercises for each topic. It is designed to address the needs of Arithmetic and Pre-Algebra takers who must have a working knowledge of basic Math. Whether you are intimidated by math, or even if you were the first to raise your hand in the Math classes, this book can help you accelerate the learning process and put you on the right track. Inside the pages of this comprehensive book, students can learn basic math operations in a structured manner with a complete study program to help them understand essential math skills. It also has many exciting features, including: Dynamic design and easy-to-follow activities Step-by-step guide for all Math topics Targeted, skill-building practices A fun, interactive and concrete learning process Math topics are grouped by category, so you can focus on the topics you struggle on All solutions for the exercises are included, so you will always find the answers Arithmetic and Pre-Algebra in 30 Days is for all Arithmetic and Pre-Algebra course takers. It is a breakthrough in Math learning - offering a winning formula and the most powerful methods for learning basic Math topics confidently. Each section offers step-by-step instruction and helpful hints, with a few topics being tackled each day. Effortlessly and confidently follow the step-by-step instructions in this book to prepare for the Arithmetic and Pre-Algebra in a short period of time. Arithmetic and Pre-Algebra in 30 Days is the only book you'll ever need to master Basic Math topics! It can be used as a self-study course - you do not need to work with a Math tutor. (It can also be used with a Math tutor). You'll be surprised how fast you master the Math topics covering on Arithmetic and Pre-Algebra. Ideal for self-study as well as for classroom usage. Published by: Effortless Math Education www.EffortlessMath.com


Mathematics

Mathematics
Author: Baltimore (Md.). Department of Education
Publisher:
Total Pages: 182
Release: 1924
Genre: Mathematics
ISBN:

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Mathematics for Machine Learning

Mathematics for Machine Learning
Author: Marc Peter Deisenroth
Publisher: Cambridge University Press
Total Pages: 392
Release: 2020-04-23
Genre: Computers
ISBN: 1108569323

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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.


Connecting Arithmetic to Algebra

Connecting Arithmetic to Algebra
Author: Susan Jo Russell
Publisher: Heinemann Educational Books
Total Pages: 0
Release: 2011
Genre: Education
ISBN: 9780325041919

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"To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.


An Elementary Course of Mathematics

An Elementary Course of Mathematics
Author: H. S. Hall
Publisher: Forgotten Books
Total Pages: 364
Release: 2015-06-16
Genre: Mathematics
ISBN: 9781440085871

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Excerpt from An Elementary Course of Mathematics: Comprising Arithmetic, Algebra and Euclid The main purpose of this text-book is to provide in a single and inexpensive volume a short course of Arithmetic, Algebra, and Euclid specially adapted to the needs of a large and increasing class of students: namely, those who after leaving school desire to continue their study of Elementary Mathematics, partly with help derived from evening classes, and partly by means of private work at home. The majority of such students work under somewhat difficult conditions. They have already received a certain training in Arithmetic, but their mathematical education has gone no further; and the problem which meets them is how - with very limited instruction and leisure - to maintain what they have already learned, and at the same time to acquire from the beginning a sound knowledge of Elementary Algebra and Geometry. What is needed by such learners is first of all a course of varied and graduated Exercises in Arithmetic; then a careful exposition of the two new subjects, Algebra and Euclid, arranged and treated in such a way as to smooth the path of a beginner, and to encourage him to overcome difficulties by relying on his own industry and intelligence. These considerations have been kept in view in compiling the following pages. Accordingly the section on Arithmetic is not intended to take the place of an ordinary text-book, but to supplement lectures and aid in the work of revision. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


Mathematical Mindsets

Mathematical Mindsets
Author: Jo Boaler
Publisher: John Wiley & Sons
Total Pages: 320
Release: 2015-10-12
Genre: Education
ISBN: 1118415531

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Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.