Category: Geometry

  • Introduction to Algebraic Curves by Sigurdur Helgason

    By Sigurdur Helgason

    This publication offers the 1st systematic exposition of geometric research on Riemannian symmetric areas and its dating to the illustration thought of Lie teams. The publication begins with glossy indispensable geometry for double fibrations and treats a number of examples intimately. After discussing the speculation of Radon transforms and Fourier transforms on symmetric areas, inversion formulation, and diversity theorems, Helgason examines purposes to invariant differential equations on symmetric areas, lifestyles theorems, and specific answer formulation, really power conception and wave equations. The canonical multitemporal wave equation on a symmetric house is integrated. The ebook concludes with a bankruptcy on eigenspace representations--that is, representations on answer areas of invariant differential equations. identified for his high quality expositions, Helgason acquired the 1988 Steele Prize for his prior books Differential Geometry, Lie teams and Symmetric areas and teams and Geometric research. Containing workouts (with recommendations) and references to extra effects, this revised version will be appropriate for complicated graduate classes in sleek quintessential geometry, research on Lie teams, and illustration idea of Lie teams.
    Show description

  • Computational Line Geometry (Mathematics and Visualization) by Helmut Pottmann, Johannes Wallner

    By Helmut Pottmann, Johannes Wallner

    From the experiences: " a distinct and engaging mix, that's proven to be priceless for numerous functions, together with robotics, geometrical optics, desktop animation, and geometric layout. The contents of the ebook are visualized via a wealth of conscientiously selected illustrations, making the ebook a shear excitement to learn, or perhaps to simply browse in." Mathematical studies
    Show description