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Author : Anonim
Publisher : American Mathematical Soc.
Page : 312 pages
File Size : 53,7 Mb
Release : 1966-12-31
Category : Algebra
ISBN : 0821896342
Author : V. M. Buchstaber,Sergeĭ Petrovich Novikov
Publisher : American Mathematical Soc.
Page : 204 pages
File Size : 55,5 Mb
Release : 1997
Category : Geometry
ISBN : 0821806661
Author : M.S. Brodski_
Publisher : American Mathematical Soc.
Page : 308 pages
File Size : 45,6 Mb
Release : 1965-12-31
Category : Mathematics
ISBN : 0821896253
Author : Seán Dineen
Publisher : American Mathematical Soc.
Page : 323 pages
File Size : 45,8 Mb
Release : 2013-05-22
Category : Mathematics
ISBN : 9780821894903
The use of the Black-Scholes model and formula is pervasive in financial markets. There are very few undergraduate textbooks available on the subject and, until now, almost none written by mathematicians. Based on a course given by the author, the goal of
Author : Gennadiĭ Mikhaĭlovich Goluzin
Publisher : American Mathematical Soc.
Page : 690 pages
File Size : 43,6 Mb
Release : 1969
Category : Functions of complex variables
ISBN : 082188655X
Author : Olʹga A. Ladyženskaja,Vsevolod Alekseevich Solonnikov
Publisher : American Mathematical Soc.
Page : 74 pages
File Size : 51,7 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 : Viktor Vasil_evich Prasolov
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 49,5 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 : Takashi Sakai
Publisher : American Mathematical Soc.
Page : 378 pages
File Size : 50,5 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 : Anonim
Publisher : American Mathematical Soc.
Page : 360 pages
File Size : 46,7 Mb
Release : 1963-12-31
Category : Algebraic functions
ISBN : 0821896113
Author : Alekseĭ Vasilʹevich Pogorelov
Publisher : American Mathematical Soc.
Page : 680 pages
File Size : 46,6 Mb
Release : 1973
Category : Mathematics
ISBN : 0821886614
Author : Takeshi Saitō
Publisher : American Mathematical Soc.
Page : 218 pages
File Size : 42,9 Mb
Release : 2013-11-01
Category : Mathematics
ISBN : 9780821898482
This book, together with the companion volume, Fermat's Last Theorem: The Proof, presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the deepest achievements in the history of mathematics.
Author : V. A. Vasilʹev,Victor A. Vasil'ev,Vasil Ev V a 1956-
Publisher : American Mathematical Soc.
Page : 165 pages
File Size : 41,8 Mb
Release : 2001
Category : Topology
ISBN : 9780821821626
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."
Author : Yukio Matsumoto
Publisher : American Mathematical Soc.
Page : 244 pages
File Size : 49,8 Mb
Release : 2002
Category : Mathematics
ISBN : 0821810227
Finite-dimensional Morse theory is easier to present fundamental ideas than in infinite-dimensional Morse theory, which is theoretically more involved. However, finite-dimensional Morse theory has its own significance. This volume explains the finte-dimensional Morse theory.
Author : Akira Kōno,Dai Tamaki
Publisher : American Mathematical Soc.
Page : 276 pages
File Size : 41,5 Mb
Release : 2006
Category : Mathematics
ISBN : 0821835149
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 : Katsuei Kenmotsu
Publisher : American Mathematical Soc.
Page : 156 pages
File Size : 55,8 Mb
Release : 2003
Category : Mathematics
ISBN : 0821834797
The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the three-dimensional space. A surface whose mean curvature is zero at each point is a minimal surface, and it is known that such surfaces are models for soap film. There is a rich and well-known theory of minimal surfaces. A surface whose mean curvature is constant but nonzero is obtained when we try to minimize the area of a closed surface without changing the volume it encloses. An easy example of a surface of constant mean curvature is the sphere. A nontrivial example is provided by the constant curvature torus, whose discovery in 1984 gave a powerful incentive for studying such surfaces. Later, many examples of constant mean curvature surfaces were discovered using various methods of analysis, differential geometry, and differential equations. It is now becoming clear that there is a rich theory of surfaces of constant mean curvature. In this book, the author presents numerous examples of constant mean curvature surfaces and techniques for studying them. Many finely rendered figures illustrate the results and allow the reader to visualize and better understand these beautiful objects. The book is suitable for advanced undergraduates, graduate students and research mathematicians interested in analysis and differential geometry.
