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The classic book that shares the enjoyment of mathematics with readers of all skill levelsWhat is so special about the number 30? Do the prime numbers go on forever? Are there more whole numbers than even numbers? The Enjoyment of Math explores these and other captivating problems and puzzles, introducing readers to some of the most fundamental ideas in mathematics. Written by two eminent mathematicians and requiring only a background in plane geometry and elementary algebra, this delightful book covers topics such as the theory of sets, the four-color problem, regular polyhedrons, Euler’s proof of the infinitude of prime numbers, and curves of constant breadth. Along the way, it discusses the history behind the problems, carefully explaining how each has arisen and, in some cases, how to resolve it. With an incisive foreword by Alex Kontorovich, this Princeton Science Library edition shares the enjoyment of math with a new generation of readers.

Mathematics --- Mathematical recreations. --- Mathematical puzzles --- Number games --- Recreational mathematics --- Recreations, Mathematical --- Puzzles --- Scientific recreations --- Games in mathematics education --- Magic squares --- Magic tricks in mathematics education --- Arbitrarily large. --- Arithmetic. --- Big O notation. --- Binomial theorem. --- Bonse's inequality. --- Circumference. --- Coefficient. --- Combination. --- Complete theory. --- Computation. --- Coprime integers. --- Diameter. --- Divisor. --- Equilateral triangle. --- Euler's formula. --- Euler's theorem. --- Exterior (topology). --- Factorial. --- Factorization. --- Fermat's Last Theorem. --- Fermat's theorem. --- Fourth power. --- Fractional part. --- Geometric mean. --- Geometric series. --- Geometry. --- Hypotenuse. --- Integer factorization. --- Intersection (set theory). --- Irrational number. --- Line segment. --- Logarithm. --- Long division. --- Mathematical induction. --- Mathematics. --- Metric space. --- Natural number. --- Non-Euclidean geometry. --- Number theory. --- Parallelogram. --- Parity (mathematics). --- Pedal triangle. --- Perfect number. --- Polyhedron. --- Power of 10. --- Prime factor. --- Prime number theorem. --- Prime number. --- Prime power. --- Pure mathematics. --- Pythagorean theorem. --- Rational number. --- Rectangle. --- Regular polygon. --- Regular polyhedron. --- Remainder. --- Reuleaux triangle. --- Rhomboid. --- Rhombus. --- Right angle. --- Right triangle. --- Scientific notation. --- Sign (mathematics). --- Special case. --- Straightedge. --- Summation. --- Theorem. --- Transfinite number. --- Variable (mathematics). --- Waring's problem.

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The description for this book, Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27, will be forthcoming.

Isoperimetric inequalities. --- Mathematical physics. --- Approximation error. --- Approximation. --- Arc (geometry). --- Arithmetic mean. --- Axiom. --- Bessel function. --- Big O notation. --- Biharmonic equation. --- Boundary value problem. --- Bounded set (topological vector space). --- Calculation. --- Calculus of variations. --- Cartesian coordinate system. --- Coefficient. --- Complex number. --- Complex plane. --- Computation. --- Conformal map. --- Conjecture. --- Conservative vector field. --- Convex curve. --- Convex set. --- Cylinder (geometry). --- Degeneracy (mathematics). --- Differential equation. --- Differential geometry of surfaces. --- Dirichlet integral. --- Dirichlet problem. --- Dirichlet's principle. --- Dodecahedron. --- Eigenfunction. --- Eigenvalues and eigenvectors. --- Electrostatics. --- Elliptic integral. --- Equation. --- Equilateral triangle. --- Even and odd functions. --- Existence theorem. --- Explicit formulae (L-function). --- Exterior (topology). --- Fourier series. --- Function (mathematics). --- Gaussian curvature. --- Geometric progression. --- Harmonic function. --- Homogeneous coordinates. --- Hypotenuse. --- Intersection (set theory). --- Isoperimetric inequality. --- Isoperimetric problem. --- Linear function. --- Markov chain. --- Mathematical physics. --- Mathematical proof. --- Mathematician. --- Mathematics. --- Maxima and minima. --- Monotonic function. --- Numerical analysis. --- Parallelogram. --- Parametric equation. --- Partial derivative. --- Partial differential equation. --- Partial fraction decomposition. --- Periodic function. --- Poincaré conjecture. --- Point at infinity. --- Polar moment of inertia. --- Polyhedron. --- Polynomial. --- Potential theory. --- Power series. --- Projection (linear algebra). --- Proportionality (mathematics). --- Quadratic form. --- Quantity. --- Rectangle. --- Regular polygon. --- Rhombus. --- Riemann surface. --- Scientific notation. --- Semi-major and semi-minor axes. --- Series (mathematics). --- Sign (mathematics). --- Simply connected space. --- Special case. --- Spheroid. --- Stress functions. --- Summation. --- Symmetrization. --- Tetrahedron. --- Theorem. --- Three-dimensional space (mathematics). --- Trigonometric functions. --- Two-dimensional space. --- Unit sphere. --- Upper and lower bounds. --- Vanish at infinity. --- Variable (mathematics). --- Variational method (quantum mechanics).