Translations Of Mathematical Monographs PDF Download
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| Author | : Takashi Sakai |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 378 |
| Release | : 1996-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780821889565 |
Download Riemannian Geometry Book in PDF, ePub and Kindle
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 | : V. V. Prasolov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 274 |
| Release | : 2001-06-12 |
| Genre | : Mathematics |
| ISBN | : 1470425432 |
Download Geometry Book in PDF, ePub and Kindle
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 |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 74 |
| Release | : 1988 |
| Genre | : Mathematics |
| ISBN | : 9780821815731 |
Download Linear and Quasi-linear Equations of Parabolic Type Book in PDF, ePub and Kindle
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 | : Shun-ichi Amari |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 220 |
| Release | : 2000 |
| Genre | : Computers |
| ISBN | : 9780821843024 |
Download Methods of Information Geometry Book in PDF, ePub and Kindle
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 | : Alekseĭ Vasilʹevich Pogorelov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 680 |
| Release | : 1973 |
| Genre | : Mathematics |
| ISBN | : 9780821886618 |
Download Extrinsic Geometry of Convex Surfaces Book in PDF, ePub and Kindle
| Author | : Masaya Yamaguchi |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 104 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 9780821805374 |
Download Mathematics of Fractals Book in PDF, ePub and Kindle
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 | : Gennadiĭ Mikhaĭlovich Goluzin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 690 |
| Release | : 1969 |
| Genre | : Functions of complex variables |
| ISBN | : 9780821886557 |
Download Geometric Theory of Functions of a Complex Variable Book in PDF, ePub and Kindle
| Author | : M. G. Goluzina |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 386 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 9780821897386 |
Download Selected Problems in Real Analysis Book in PDF, ePub and Kindle
This book is intended for students wishing to deepen their knowledge of mathematical analysis and for those teaching courses in this area. It differs from other problem books in the greater difficulty of the problems, some of which are well-known theorems in analysis. Nonetheless, no special preparation is required to solve the majority of the problems. Brief but detailed solutions to most of the problems are given in the second part of the book. This book is unique in that the authors have aimed to systematize a range of problems that are found in sources that are almost inaccessible (especially to students) and in mathematical folklore.
| Author | : V. M. Zolotarev |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 298 |
| Release | : 1986-06-30 |
| Genre | : Mathematics |
| ISBN | : 0821845195 |
Download One-dimensional Stable Distributions Book in PDF, ePub and Kindle
This is the first book specifically devoted to a systematic exposition of the essential facts known about the properties of stable distributions. In addition to its main focus on the analytic properties of stable laws, the book also includes examples of the occurrence of stable distributions in applied problems and a chapter on the problem of statistical estimation of the parameters determining stable laws. A valuable feature of the book is the author's use of several formally different ways of expressing characteristic functions corresponding to these laws.
| Author | : Ya-Zhe Chen |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 266 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 0821819240 |
Download Second Order Elliptic Equations and Elliptic Systems Book in PDF, ePub and Kindle
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.
