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Higher Arithmetic, Or The Science And Application Of Numbers: Combining The Analytic And Synthetic Modes Of Instruction is a comprehensive guide to the study of advanced mathematics. Written by James Bates Thomson, this book covers a range of topics in arithmetic, including fractions, decimals, percentages, and algebraic equations. The book is designed for students who have already mastered basic arithmetic and are looking to develop their skills in more complex mathematical concepts.Thomson's approach to teaching mathematics combines both analytic and synthetic modes of instruction. The analytic mode involves breaking down mathematical problems into simpler components, while the synthetic mode involves combining these components to solve more complex problems. By combining these two modes of instruction, Thomson provides a comprehensive and accessible guide to advanced arithmetic.The book is divided into several sections, each covering a different topic in arithmetic. The first section covers the basics of arithmetic, including addition, subtraction, multiplication, and division. The second section focuses on fractions, decimals, and percentages, while the third section covers algebraic equations and functions. Other sections cover topics such as logarithms, trigonometry, and geometry.Throughout the book, Thomson provides clear explanations of mathematical concepts and uses numerous examples to illustrate how these concepts can be applied in real-world situations. The book also includes exercises and problems to help students practice and reinforce their understanding of the material.Overall, Higher Arithmetic, Or The Science And Application Of Numbers: Combining The Analytic And Synthetic Modes Of Instruction is an invaluable resource for students looking to develop their skills in advanced arithmetic. With its clear explanations, numerous examples, and practical applications, this book is an essential guide for anyone looking to master the science of numbers.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.