A.D. Alexandrov - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A.D. Alexandrov write by S.S. Kutateladze. This book was released on 2005-07-25. A.D. Alexandrov available in PDF, EPUB and Kindle. A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily from this masterpiece--now available in its entirely for the first time since its 1948 publication in Russian. Alexandrov's treatise begins with an outline of the basic concepts, definitions, and r
A. D. Alexandrov Selected Works
A. D. Alexandrov Selected Works - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A. D. Alexandrov Selected Works write by Yu. G. Reshetnyak. This book was released on 2002-02-21. A. D. Alexandrov Selected Works available in PDF, EPUB and Kindle. Alexandr Danilovich Alexandrov has been called a giant of 20th-century mathematics. This volume contains some of the most important papers by this renowned geometer and hence, some of his most influential ideas. Alexandrov addressed a wide range of modern mathematical problems, and he did so with intelligence and elegance, solving some of the discipline's most difficult and enduring challenges. He was the first to apply many of the tools and methods of the theory of real functions and functional analysis that are now current in geometry. The topics here include convex polyhedrons and closed surfaces, an elementary proof and extension of Minkowski's theorem, Riemannian geometry and a method for Dirichlet problems. This monograph, published in English for the first time, gives unparalleled access to a brilliant mind, and advanced students and researchers in applied mathematics and geometry will find it indispensable.
Convex Polyhedra
Convex Polyhedra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Convex Polyhedra write by A.D. Alexandrov. This book was released on 2005-12-08. Convex Polyhedra available in PDF, EPUB and Kindle. This classic geometry text explores the theory of 3-dimensional convex polyhedra in a unique fashion, with exceptional detail. Vital and clearly written, the book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra that are proved by a new and unified method. This edition includes a comprehensive bibliography by V.A. Zalgaller, and related papers as supplements to the original text.
A. D. Alexandrov Selected Works Part I
A. D. Alexandrov Selected Works Part I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A. D. Alexandrov Selected Works Part I write by Yu. G. Reshetnyak. This book was released on 2002-02-21. A. D. Alexandrov Selected Works Part I available in PDF, EPUB and Kindle. Alexandr Danilovich Alexandrov has been called a giant of 20th-century mathematics. This volume contains some of the most important papers by this renowned geometer and hence, some of his most influential ideas. Alexandrov addressed a wide range of modern mathematical problems, and he did so with intelligence and elegance, solving some of the disci
Alexandrov Geometry
Alexandrov Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Alexandrov Geometry write by Stephanie Alexander. This book was released on 2024-05-24. Alexandrov Geometry available in PDF, EPUB and Kindle. Alexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Depending on the signs of the inequalities, we obtain Alexandrov spaces with curvature bounded above (CBA) and curvature bounded below (CBB). Even though the definitions of the two classes of spaces are similar, their properties and known applications are quite different. The goal of this book is to give a comprehensive exposition of the structure theory of Alexandrov spaces with curvature bounded above and below. It includes all the basic material as well as selected topics inspired by considering Alexandrov spaces with CBA and with CBB simultaneously. The book also includes an extensive problem list with solutions indicated for every problem.
