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| Author | : V. M. Buchstaber |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 204 |
| Release | : 1997 |
| Genre | : Geometry |
| ISBN | : 9780821806661 |
| Author | : Olʹga A. Ladyženskaja |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 74 |
| Release | : 1988 |
| Genre | : Mathematics |
| ISBN | : 9780821815731 |
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 |
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 | : Takashi Sakai |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 378 |
| Release | : 1996-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780821889565 |
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 | : Viktor Vasil_evich Prasolov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 250 |
| Release | : 1994-06-13 |
| Genre | : Mathematics |
| ISBN | : 0821802364 |
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 | : V. V. Prasolov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 274 |
| Release | : 2001-06-12 |
| Genre | : Mathematics |
| ISBN | : 1470425432 |
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 | : Gennadiĭ Mikhaĭlovich Goluzin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 690 |
| Release | : 1969 |
| Genre | : Functions of complex variables |
| ISBN | : 9780821886557 |
| Author | : Akira Kōno |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 276 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 9780821835142 |
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 | : Alekseĭ Vasilʹevich Pogorelov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 680 |
| Release | : 1973 |
| Genre | : Mathematics |
| ISBN | : 9780821886618 |
| Author | : V. A. Vasilʹev |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 165 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : 0821821628 |
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."
