American Mathematical Society Translations
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Author |
: V. M. Buchstaber |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 204 |
Release |
: 1997 |
ISBN-10 |
: 0821806661 |
ISBN-13 |
: 9780821806661 |
Rating |
: 4/5 (61 Downloads) |
Synopsis Solitons, Geometry, and Topology: On the Crossroad by : V. M. Buchstaber
Author |
: Shun-ichi Amari |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 220 |
Release |
: 2000 |
ISBN-10 |
: 0821843028 |
ISBN-13 |
: 9780821843024 |
Rating |
: 4/5 (28 Downloads) |
Synopsis Methods of Information Geometry by : Shun-ichi Amari
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 |
ISBN-10 |
: 0821886614 |
ISBN-13 |
: 9780821886618 |
Rating |
: 4/5 (14 Downloads) |
Synopsis Extrinsic Geometry of Convex Surfaces by : Alekseĭ Vasilʹevich Pogorelov
Author |
: Olʹga A. Ladyženskaja |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 74 |
Release |
: 1988 |
ISBN-10 |
: 0821815733 |
ISBN-13 |
: 9780821815731 |
Rating |
: 4/5 (33 Downloads) |
Synopsis Linear and Quasi-linear Equations of Parabolic Type by : Olʹga A. Ladyženskaja
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 |
: Ya-Zhe Chen |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 266 |
Release |
: 1998 |
ISBN-10 |
: 9780821819241 |
ISBN-13 |
: 0821819240 |
Rating |
: 4/5 (41 Downloads) |
Synopsis Second Order Elliptic Equations and Elliptic Systems by : Ya-Zhe Chen
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 |
: Gennadiĭ Mikhaĭlovich Goluzin |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 690 |
Release |
: 1969 |
ISBN-10 |
: 082188655X |
ISBN-13 |
: 9780821886557 |
Rating |
: 4/5 (5X Downloads) |
Synopsis Geometric Theory of Functions of a Complex Variable by : Gennadiĭ Mikhaĭlovich Goluzin
Author |
: V. V. Prasolov |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 274 |
Release |
: 2001-06-12 |
ISBN-10 |
: 9781470425432 |
ISBN-13 |
: 1470425432 |
Rating |
: 4/5 (32 Downloads) |
Synopsis Geometry by : V. V. Prasolov
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 |
: N. N. Cencov |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 514 |
Release |
: 2000-04-19 |
ISBN-10 |
: 0821813471 |
ISBN-13 |
: 9780821813478 |
Rating |
: 4/5 (71 Downloads) |
Synopsis Statistical Decision Rules and Optimal Inference by : N. N. Cencov
None available in plain English.
Author |
: Akira Kōno |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 276 |
Release |
: 2006 |
ISBN-10 |
: 0821835149 |
ISBN-13 |
: 9780821835142 |
Rating |
: 4/5 (49 Downloads) |
Synopsis Generalized Cohomology by : Akira Kōno
Aims to give an exposition of generalized (co)homology theories that can be read by a group of mathematicians who are not experts in algebraic topology. This title starts with basic notions of homotopy theory, and introduces the axioms of generalized (co)homology theory. It also discusses various types of generalized cohomology theories.
Author |
: V. A. Vasilʹev |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 165 |
Release |
: 2001 |
ISBN-10 |
: 9780821821626 |
ISBN-13 |
: 0821821628 |
Rating |
: 4/5 (26 Downloads) |
Synopsis Introduction to Topology by : V. A. Vasilʹev
This English translation of a Russian book presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists. In particular, ideas and results are introduced related to manifolds, cell spaces, coverings and fibrations, homotopy groups, homology and cohomology, intersection index, etc. The author notes, "The lecture note origins of the book left a significant imprint on itsstyle. It contains very few detailed proofs: I tried to give as many illustrations as possible and to show what really occurs in topology, not always explaining why it occurs." He concludes, "As a rule, only those proofs (or sketches of proofs) that are interesting per se and have importantgeneralizations are presented."