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Find information about mathematics, which can be as simple as addition or as complex as the abstract field of number theory. Mathematics is used in many areas of learning, from science, engineering, and medicine to the arts, cooking, sports, and a myriad of other areas.

The extent to which mathematics pervades all aspects of life is astonishing. All the major advances in electricity and magnetism, thermodynamics, and so forth were dependent on mathematics. Exploration of space and most of the technological discoveries of the 20th and 21st centuries have been made through the application of mathematics.

All branches of mathematics are interrelated. Mathematics is the study of quantitative relationships. When such relationships are expressed in terms of numbers, that branch of mathematics is called arithmetic; elementary school math, which focuses on addition, subtraction, multiplication, division, and fractions, is considered arithmetic. When relationships are expressed in letters and numbers, with similar rules to arithmetic, the subject is known as algebra. Trigonometry studies relationships between angles. Geometry is concerned with size, shape, area, and volume of objects and position in space.

Calculus deals with the relationship between changing quantities. In differential calculus, the problem is to find the rate at which a known but varying quantity changes. The problem in integral calculus is the reverse of this: to find a quantity when the rate at which it is changing is known. Combinatorics is a branch of mathematics primarily dealing with counting. 

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Mathematics Resources

Gale provides scholarly mathematics resources, including databasesprimary source archives, and eBooks.


Gale databases offer researchers access to credible, up-to-date mathematics publications, journals, research articles, and other online resources for research.

Primary Source Archives

Gale Primary Sources offers mathematics journals and mathematics collections that provide researchers and teachers with firsthand content.

Gale eBooks

Gale offers a variety of mathematics eBooks covering a wide range of topics, including geometry, algebra, statistics, and more. Users can add Gale eBooks to a customized collection and cross-search to pinpoint relevant content. Workflow tools help users easily share, save, and download content.

  • The Foundations of Math: Algebra and Trigonometry, 1st Edition

    The Foundations of Math: Algebra and Trigonometry, 1st Edition

    Britannica Digital Learning | 2018 | ISBN-13: 9781538300381

    Readers learn how calculating and manipulating the unknown has been the enterprise of the field of algebra since its earliest inception in Babylon and ancient Egypt. Trigonometry draws on principles presented in algebra and uses angle measurements to elaborate on geometric calculations. Essential to further mathematical and scientific study, both algebra and trigonometry provide crucial tools in managing variables and understanding the relationships between them. This enlightening volume chronicles their respective histories while addressing the classroom education curriculum requirements of both disciplines.

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  • The Foundations of Math: Geometry, 1st Edition

    The Foundations of Math: Geometry, 1st Edition

    Britannica Digital Learning | 2018 | ISBN-13: 9781538300404

    The field of geometry reflects a conglomeration of discoveries over time. Filled with detailed diagrams, this insightful volume offers students a comprehensive understanding of the fundamentals of geometry, including geometric shapes, axioms, and formulas. In addition, it covers some of the field’s most illustrious minds, from Euclid to Wendelin Werner, figures who have helped produce the various branches of geometry as we know them today. This enlightening volume will help students understand the principles of geometry and also the fascinating story behind the numbers.

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  • The Foundations of Math: Statistics and Probability, 1st Edition

    The Foundations of Math: Statistics and Probability, 1st Edition

    Britannica Digital Learning | 2018 | ISBN-13: 9781538300435

    Adhering to state and national math teaching standards, this informative volume introduces readers to a world they may know little about: statistics and probability. In an effort to better forecast the future for gains and combat the potential losses of uncertainty, numerous areas have come to rely on the power of these disciplines. This book introduces the historical and mathematical basis of statistics and probability, as well as their application to everyday situations. Readers will also meet the prominent thinkers who advanced the field for those who followed.

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  • Got Math!: Magical Mathematical Properties: Commutative, Associative, and Distributive, 1st Edition

    Got Math!: Magical Mathematical Properties: Commutative, Associative, and Distributive, 1st Edition

    Rourke Educational Media LLC | 2015 | ISBN-13: 9781627179409

    Properties aren’t magic! They are special rules that numbers follow so you can solve problems quickly in your head. Using detailed instructions and rhythmic text, students gain understanding of when and how to use mathematical properties. This book will allow students to apply properties of operations as a strategy to add and subtract or multiply and divide.

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  • Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions, 1st Edition

    Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions, 1st Edition

    Springer | 2014 | ISBN-13: 9783642414251

    Spontaneous potential (SP) well-logging is one of the most common and useful well-logging techniques in petroleum exploitation. This monograph is the first of its kind on the mathematical model of SP well-logging and its numerical solutions. The model in this book shows the necessity of introducing Sobolev spaces with fractional power, which seriously increases the difficulty of proving the well-posedness and proposing numerical solution schemes. In this book, in the axisymmetric situation, the well-posedness of the corresponding mathematical model is proved and three efficient schemes of numerical solutions are proposed, supported by a number of numerical examples to meet practical computation needs.

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  • Mathematics Applied to Engineering, 1st Edition

    Mathematics Applied to Engineering, 1st Edition

    Academic Press | 2017 | ISBN-13: 9780128104361

    This book presents a wide array of applied mathematics for a vast range of engineering applications, including acoustics, system engineering, optimization, mechanical engineering, and reliability engineering. Mathematics acts as a foundation for new advances as engineering evolves and develops. This book will be of great interest to postgraduate and senior undergraduate university students and researchers in engineering and mathematics, as well as to engineers, policy makers, teachers, and scientists involved in applied mathematics.

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