An in-depth overview of some of the most readily applicable essentials of modern mathematics, this concise volume is geared toward undergraduates of all backgrounds as well as future math majors. Topics include the natural numbers; sets, variables, and statement forms; mappings and operations; groups; relations and partitions; integers; and rational and real numbers. 1961 edition.

Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.

Whether you are returning to school, studying for an adult numeracy test, helping your kids with homework, or seeking the confidence that a firm maths foundation provides in everyday encounters, Basic Maths For Dummies, UK Edition, provides the content you need to improve your basic maths skills. Based upon the Adult Numeracy Core Curriculum, this title covers such topics as: Getting started with the building blocks of maths and setting yourself up for success Dealing with decimals, percentages and tackling fractions without fear Sizing Up weights, measures, and shapes How to handle statistics and gauge probability Filled with real-world examples and written by a PhD-level mathematician who specialises in tutoring adults and students, Basic Maths For Dummies also provides practical advice on overcoming maths anxiety and a host of tips, tricks, and memory aids that make learning maths (almost) painless - and even fun.

FROM THE PREFACE In the years since the first edition, I have continued to consider ways in which the texts could be improved. In this regard, I researched several topics including how people learn (learning styles, etc.), how the brain functions in storing and retrieving information, and the fundamentals of memory systems. Many of the changes incorporated in this second edition are a result of this research. The changes were field-tested during a three-year period in which I taught a water and wastewater mathematics course for Palomar Community College, San Marcos, California. All the fundamental math concepts and skills needed for daily water/wastewater treatment plant operations. This first volume, ""Basic Math Concepts for Water and Wastewater Plant Operators,"" provides a thorough review of the necessary mathematical concepts and skills encountered in the daily operations of a water and wastewater treatment plant. Each chapter begins with a skills check to allow the student to determine whether or not a review of the topic is needed. Practice problems illustrate the concepts presented in each section.

Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics. The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text. Mathematics teachers and people who want to gain a thorough understanding of the fundamental concepts of mathematics will find this book a good reference.

Emphasizes the mathematical and conceptual skills needed for preparatory and general chemistry

In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Educators of young children who don’t yet know the work of Marian Small are in for a gift—a treasure trove to enhance their teaching and thinking about math. This book focuses on the most important concepts and skills needed to provide early learners (preK–2) with a strong foundation in mathematics, in ways that are fun for both children and educators! For each mathematical concept, professional developer Marian Small provides sample activities and lessons, as well as guidance for using children’s books, games, manipulatives, and electronic devices. This resource also demonstrates how to differentiate instruction using tasks and questions designed to include all students. Like other Marian Small bestsellers, the text features her special brand of lucid explanation of difficult concepts, fresh and engaging teaching examples, troubleshooting tips, and formative assessments. Fun and Fundamental Math for Young Children is separated into special grade level sections for pre-K, kindergarten, first grade, and second grade. It can be used with any early childhood curriculum or as a stand-alone program in preschools. Marian Small is available for in-person and online professional development. “Within the first few pages it quickly became apparent that, whether you are a new or veteran teacher, your knowledge and appreciation of and for primary mathematics will grow page by page.” —From the Foreword by Graham Fletcher, math specialist, Atlanta, Georgia “Marian Small describes the development of major aspects of children’s mathematical thinking and connects them to many interesting and useful classroom activities.” —Herbert Ginsburg, professor emeritus, Teachers College, Columbia University “I love this book! The ideas are invaluable and the attention to detail is amazing.” —Nicki Newton, math consultant

FROM THE PREFACE In the years since the first edition, I have continued to consider ways in which the texts could be improved. In this regard, I researched several topics including how people learn (learning styles, etc.), how the brain functions in storing and retrieving information, and the fundamentals of memory systems. Many of the changes incorporated in this second edition are a result of this research. The changes were field-tested during a three-year period in which I taught a water and wastewater mathematics course for Palomar Community College, San Marcos, California. All the fundamental math concepts and skills needed for daily water/wastewater treatment plant operations. This first volume, "Basic Math Concepts for Water and Wastewater Plant Operators," provides a thorough review of the necessary mathematical concepts and skills encountered in the daily operations of a water and wastewater treatment plant. Each chapter begins with a skills check to allow the student to determine whether or not a review of the topic is needed. Practice problems illustrate the concepts presented in each section.