Download Full eBooks in PDF
Translations Of Mathematical Monographs Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Translations Of Mathematical Monographs book. This book definitely worth reading, it is an incredibly well-written.
Author : Gennadiĭ Mikhaĭlovich Goluzin
Publisher : American Mathematical Soc.
Page : 690 pages
File Size : 52,7 Mb
Release : 1969
Category : Functions of complex variables
ISBN : 082188655X
Author : Viktor Vasilʹevich Prasolov Vladimir Mikhaĭlovich Tikhomirov
Publisher : American Mathematical Soc.
Page : 276 pages
File Size : 40,6 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 0821897977
This book provides a systematic introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic geometries. Also included is a chapter on infinite-dimensional generalizations of Euclidean and affine geometries. A uniform approach to different geometries, based on Klein's Erlangen Program is suggested, and similarities of various phenomena in all geometries are traced. An important notion of duality of geometric objects is highlighted throughout the book. The authors also include a detailed presentation of the theory of conics and quadrics, including the theory of conics for non-Euclidean geometries. The book contains many beautiful geometric facts and has plenty of problems, most of them with solutions, which nicely supplement the main text. With more than 150 figures illustrating the arguments, the book can be recommended as a textbook for undergraduate and graduate-level courses in geometry.
Author : Olʹga A. Ladyženskaja,Vsevolod Alekseevich Solonnikov
Publisher : American Mathematical Soc.
Page : 74 pages
File Size : 53,8 Mb
Release : 1988
Category : Mathematics
ISBN : 0821815733
Equations of parabolic type are encountered in many areas of mathematics and mathematical physics, and those encountered most frequently are linear and quasi-linear parabolic equations of the second order. In this volume, boundary value problems for such equations are studied from two points of view: solvability, unique or otherwise, and the effect of smoothness properties of the functions entering the initial and boundary conditions on the smoothness of the solutions.
Author : Mitsuo Morimoto
Publisher : American Mathematical Soc.
Page : 296 pages
File Size : 40,7 Mb
Release : 1993
Category : Mathematics
ISBN : 0821845713
This book is a translation, with corrections and an updated bibliography, of Morimoto's 1976 book on the theory of hyperfunctions originally written in Japanese. Since the time that Sato established the theory of hyperfunctions, there have been many important applications to such areas as pseudodifferential operators and S-matrices. Assuming as little background as possible on the part of the reader, Morimoto covers the basic notions of the theory, from hyperfunctions of one variable to Sato's fundamental theorem. This book provides an excellent introduction to this important field of research.
Author : Alekseĭ Vasilʹevich Pogorelov
Publisher : American Mathematical Soc.
Page : 680 pages
File Size : 47,6 Mb
Release : 1973
Category : Mathematics
ISBN : 0821886614
Author : Takashi Sakai
Publisher : American Mathematical Soc.
Page : 378 pages
File Size : 54,6 Mb
Release : 1996-01-01
Category : Mathematics
ISBN : 0821889567
This volume is an English translation of Sakai's textbook on Riemannian Geometry which was originally written in Japanese and published in 1992. The author's intent behind the original book was to provide to advanced undergraduate and graudate students an introduction to modern Riemannian geometry that could also serve as a reference. The book begins with an explanation of the fundamental notion of Riemannian geometry. Special emphasis is placed on understandability and readability, to guide students who are new to this area. The remaining chapters deal with various topics in Riemannian geometry, with the main focus on comparison methods and their applications.
Author : E. M. Landis
Publisher : American Mathematical Soc.
Page : 224 pages
File Size : 41,9 Mb
Release : 1997-12-02
Category : Mathematics
ISBN : 0821897810
Most books on elliptic and parabolic equations emphasize existence and uniqueness of solutions. By contrast, this book focuses on the qualitative properties of solutions. In addition to the discussion of classical results for equations with smooth coefficients (Schauder estimates and the solvability of the Dirichlet problem for elliptic equations; the Dirichlet problem for the heat equation), the book describes properties of solutions to second order elliptic and parabolic equations with measurable coefficients near the boundary and at infinity. The book presents a fine elementary introduction to the theory of elliptic and parabolic equations of second order. The precise and clear exposition is suitable for graduate students as well as for research mathematicians who want to get acquainted with this area of the theory of partial differential equations.
Author : Masaya Yamaguchi,Masayoshi Hata,Jun Kigami
Publisher : American Mathematical Soc.
Page : 104 pages
File Size : 42,7 Mb
Release : 1997
Category : Mathematics
ISBN : 0821805371
This book aims at providing a handy explanation of the notions behind the self-similar sets called "fractals" and "chaotic dynamical systems". The authors emphasize the beautiful relationship between fractal functions (such as Weierstrass's) and chaotic dynamical systems; these nowhere-differentiable functions are generating functions of chaotic dynamical systems. These functions are shown to be in a sense unique solutions of certain boundary problems. The last chapter of the book treats harmonic functions on fractal sets.
Author : Shun-ichi Amari,Hiroshi Nagaoka
Publisher : American Mathematical Soc.
Page : 220 pages
File Size : 49,9 Mb
Release : 2000
Category : Computers
ISBN : 0821843028
Information geometry provides the mathematical sciences with a fresh framework of analysis. This book presents a comprehensive introduction to the mathematical foundation of information geometry. It provides an overview of many areas of applications, such as statistics, linear systems, information theory, quantum mechanics, and convex analysis.
Author : Ichirō Shigekawa
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 42,7 Mb
Release : 2004
Category : Mathematics
ISBN : 0821826263
This book offers a concise introduction to stochastic analysis, particularly the Malliavin calculus. A detailed description is given of all technical tools necessary to describe the theory, such as the Wiener process, the Ornstein-Uhlenbeck process, and Sobolev spaces. Applications of stochastic cal
Author : Shigeyuki Morita
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 49,9 Mb
Release : 2001
Category : Mathematics
ISBN : 9780821821398
Characteristic classes are central to the modern study of the topology and geometry of manifolds. They were first introduced in topology, where, for instance, they could be used to define obstructions to the existence of certain fiber bundles. Characteristic classes were later defined (via the Chern-Weil theory) using connections on vector bundles, thus revealing their geometric side. In the late 1960s new theories arose that described still finer structures. Examples of the so-called secondary characteristic classes came from Chern-Simons invariants, Gelfand-Fuks cohomology, and the characteristic classes of flat bundles. The new techniques are particularly useful for the study of fiber bundles whose structure groups are not finite dimensional. The theory of characteristic classes of surface bundles is perhaps the most developed. Here the special geometry of surfaces allows one to connect this theory to the theory of moduli space of Riemann surfaces, i.e., Teichmüller theory. In this book Morita presents an introduction to the modern theories of characteristic classes.
Author : Ya-Zhe Chen,Lan-Cheng Wu
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 44,9 Mb
Release : 1998
Category : Mathematics
ISBN : 9780821819241
There are two parts to the book. In the first part, a complete introduction of various kinds of a priori estimate methods for the Dirichlet problem of second order elliptic partial differential equations is presented. In the second part, the existence and regularity theories of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced. The book features appropriate materials and is an excellent textbook for graduate students. The volume is also useful as a reference source for undergraduate mathematics majors, graduate students, professors, and scientists.
Author : Israel Gohberg,Mark Grigorʹevich Kreĭn
Publisher : American Mathematical Soc.
Page : 402 pages
File Size : 46,5 Mb
Release : 1978
Category : Mathematics
ISBN : 0821886509
Author : Viktor Vasil_evich Prasolov
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 55,6 Mb
Release : 1994-06-13
Category : Mathematics
ISBN : 9780821802366
There are a number of very good books available on linear algebra. However, new results in linear algebra appear constantly, as do new, simpler, and better proofs of old results. Many of these results and proofs obtained in the past thirty years are accessible to undergraduate mathematics majors, but are usually ignored by textbooks. In addition, more than a few interesting old results are not covered in many books. In this book, the author provides the basics of linear algebra, with an emphasis on new results and on nonstandard and interesting proofs. The book features about 230 problems with complete solutions. It can serve as a supplementary text for an undergraduate or graduate algebra course.
Author : Lev Abramovich Aĭzenberg,Aleksandr Petrovich I︠U︡zhakov
Publisher : American Mathematical Soc.
Page : 283 pages
File Size : 50,5 Mb
Release : 1983
Category : Mathematics
ISBN : 9780821815502
This book deals with integral representations of holomorphic functions of several complex variables, the multidimensional logarithmic residue, and the theory of multidimensional residues. Applications are given to implicit function theory, systems of nonlinear equations, computation of the multiplicity of a zero of a mapping, and computation of combinatorial sums in closed form. Certain applications in multidimensional complex analysis are considered. The monograph is intended for specialists in theoretical and applied mathematics and theoretical physics, and for postgraduate and graduate students interested in multidimensional complex analysis or its applications.
