Includes bibliographical references and index.

Addition and subtraction -- Agriculture and mathematics -- Algebra -- Algebra in society -- Applied mathematics -- Applied physics -- Architecture and architectural engineering -- Astronomy and mathematics -- Axiomatic systems in mathematics -- Babylonian mathematics -- Binomial theorem -- Biomathematics -- Birthday problem -- Calculators in society -- Calculators in the classroom -- Calculus -- Calculus education -- Calculus in society -- Chinese mathematics -- Climate change analysis and mathematics -- Coding and encryption -- Combinatorics -- Computer science -- Conic sections -- Coordinate geometry -- Crime scene investigation and mathematics -- Cryptology and cryptography -- Crystallography and mathematics -- Cubes and cube roots -- Data mining -- Deforestation and mathematics -- Diagnostic testing and mathematics -- Dice games and mathematics -- Differential equations -- Egyptian mathematics -- Elections and mathematics -- Electricity and mathematics -- Energy and mathematics -- Engineering -- Engineering mathematics -- Exponentials and logarithms -- Extinction and mathematics -- File sharing and mathematics -- Fractal geometry -- Functions -- Game theory -- Genetics and mathematics -- Geometry -- Geometry history and education -- Geometry in society -- Geometry of molecules -- Golden ratio -- Graphs and diagrams -- Greek mathematics -- Incan Mayan mathematics -- Infinity (mathematics) -- Information technology -- Insurance and mathematics -- Interdisciplinary mathematics research -- International system of units -- Internet history and mathematics -- Islamic mathematics -- Maps and mathematical cartography -- Market research and mathematics -- Mathematical certainty -- Mathematical modeling -- Mathematics and accounting -- Mathematics communication -- Mathematics curricula, international -- Mathematics curriculum, college -- Mathematics curriculum, K-12 -- Mathematics of flight -- Mathematics software -- Matrics -- Measurement and units -- Mechanical engineering -- Medical imaging and mathematics -- Medieval mathematics -- Multiplication and devision -- Nanotechnology and mathematics -- Native American mathematics -- Navigation -- Normal distribution -- Number theory -- Numerical analysis -- Optics -- Packing problems -- Parallel computing -- Pattern recognition -- Payroll systems and mathematics -- Permutations and combinations -- Pi -- Polygons -- Polyhedra -- Polynomials -- Predictive mathematical models -- Probability and statistics -- Probability, History of -- Professional mathematical associations -- Proof -- Pythagorean school -- Pythagorean theorem -- Randomness -- Rational and irrational numbers -- Real numbers -- Reasoning and proof in society -- Recycling and mathematics -- Risk analysis and management -- Robotics -- Roman mathematics -- Sample surveys -- Satellites and mathematics -- Scatterplots -- Scheduling and mathematics -- Sequence and series -- Social networks analysis -- Software engineering -- Succeeding in mathematics -- Surfaces -- Symbolic mathematics -- Symmetry -- Systems of measurement -- Telephones and mathematics -- Telescopes and mathematics -- Television technology and mathematics -- Theoretical mathematics -- Tournaments and mathematics -- Transformations -- Traveling salesman problem -- Trigonometry -- Units of area -- Units of length -- Units of mass -- Units of volume -- Vectors -- Vedic mathematics -- Video games and mathematics -- Virtual reality -- Viruses and mathematics -- Vision correction -- Visualization in mathematics -- Voting and mathematics -- Weather forecasting and mathematics -- Weight and mass measurement -- Wind, wind power, and mathematics -- Wireless communication and mathematics -- Zero.

This collection introduces the fundamentals of mathematics. Entries provide an in-depth examination of the topic, and many include illustrations, models, equations, and sample problems. Concepts covered included: Combinatorics; Euclidian Geometry; Linear Algebra; Number Theory; Differential Equations; Game Theory; Mathematical Physics; and Probability and Statistics.