This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis. Curating the content carefully, the author builds to a proof of the spectral theorem in the early part of the book. Subsequent chapters...Daugiau...
Its main objective is to illustrate how these non-smooth geometries manifest in various mathematical domains, including metric geometry and geometric group theory....Daugiau...
This textbook is intended for an introductory course in the theory of complex analysis and Riemann surfaces. A special feature includes the systematic treatment of complex analysis from the point of view of partial differential equations. The main...Daugiau...
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the...Daugiau...
This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis. Curating the content carefully, the author builds to a proof of the spectral theorem in the early part of the book. Subsequent chapters...Daugiau...
This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis. Curating the content carefully, the author builds to a proof of the spectral theorem in the early part of the book. Subsequent chapters...Daugiau...
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the...Daugiau...
Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einsteins general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory. Th...Daugiau...
This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern-Weil t...Daugiau...
Intended for a one year course, this text serves as a single source, introducing readers to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riem...Daugiau...
Intended for a one year course, this text serves as a single source, introducing readers to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riem...Daugiau...
(Išleidimo metai: 23-Aug-2016, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781493944293)
This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergmans classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, a...Daugiau...
(Išleidimo metai: 19-Sep-2014, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781489994752)
This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangen...Daugiau...
(Išleidimo metai: 21-Sep-2013, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461479239)
This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergmans classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, a...Daugiau...
(Išleidimo metai: 03-Oct-2013, Paperback / softback, Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783662131176)
This treatment of differential geometry and the mathematics required for general relativity makes the subject accessible, for the first time, to anyone familiar with elementary calculus in one variable and with some knowledge of vector algebra. Th...Daugiau...
(Išleidimo metai: 26-Aug-2012, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441999818)
This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangen...Daugiau...
(Išleidimo metai: 04-May-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781468493320)
Ši knyga nebeleidžiama, tačiau mes Jums pranešime naudoto egzemplioriaus kainą
From the Preface: This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short o...Daugiau...
(Išleidimo metai: 22-Jan-2013, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461299257)
This English edition could serve as a text for a first year graduate course on differential geometry, as did for a long time the Chicago Notes of Chern mentioned in the Preface to the German Edition. Suitable references for ordin ary differential eq...Daugiau...
(Išleidimo metai: 28-Oct-2011, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461287568)
This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variati...Daugiau...
(Išleidimo metai: 02-Oct-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461269922)
This book is an introduction to modern differential geometry. The authors begin with the necessary tools from analysis and topology, including Sards theorem, de Rham cohomology, calculus on manifolds, and a degree theory. The general theory is illus...Daugiau...
B. A. Dubrovin, R. G. Burns, A. T. Fomenko, S. P. Novikov
Serija: Graduate Texts in Mathematics
(Išleidimo metai: 30-Sep-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461270119)
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geom...Daugiau...
