Mathematical Omnibus: Thirty Lectures on Classic Mathematics
The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher. -- Back cover.
What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
assume billiard boundary Chebyshev closed curve coefficients computation cone confocal conics Consider construction continued fraction convex coordinates coplanar corresponding Crofton's formula cubic curve cubic equation curvature cuspidal edge cusps deformation Dehn invariant Dehn(P denote developable surface dihedral angles disc domain double points double tangent ellipse ellipsoid envelope equal example Exercise faces fold follows formula function Gauss-Bonnet Theorem geometry graph hence hexagonal horizontal hyperbola hyperboloid infinitely inflection points inside integer intersection point Lecture Lemma length loop mathematics Mobius band n-gon number of sign obtained octahedron orthogonal osculating circle oval pairs parabola parallel translation partition permutations planar polygon polyhedra polyhedron polynomial of degree problem projection Prove quadratic rectangle result roots rotation ruled surfaces Section segment self-intersecting sequence shown in Figure side sign changes solutions space sphere spherical straight lines symmetric tangent lines tiling total number triangle values vector vertex vertices winding number zero