(Izdošanas datums: 11-Dec-2024, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470478964)
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Aimed at undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequisit...Lasīt vairāk
(Izdošanas datums: 03-May-2024, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470476762)
This textbook offers an accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle conn...Lasīt vairāk
(Izdošanas datums: 08-Jan-2024, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470478032)
Differential geometry is a subject related to many fields in mathematics and the sciences. The authors of this book provide a vertically integrated introduction to differential geometry and geometric analysis. The material is presented in three disti...Lasīt vairāk
(Izdošanas datums: 03-Feb-2023, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470472528)
This book provides a gentle introduction to fractional Sobolev spaces which play a central role in the calculus of variations, partial differential equations, and harmonic analysis. The first part deals with fractional Sobolev spaces of one variable....Lasīt vairāk
(Izdošanas datums: 09-Oct-2019, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470453138)
Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynami...Lasīt vairāk
(Izdošanas datums: 03-May-2019, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470451066)
The theory of complex dynamics in one variable, initiated by Fatou and Julia in the early twentieth century, concerns the iteration of a rational function acting on the Riemann sphere. Building on foundational investigations of p-adic dynamics in t...Lasīt vairāk
(Izdošanas datums: 12-Dec-2018, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470450571)
Does entropy really increase no matter what we do? Can light pass through a Big Bang? What is certain about the Heisenberg uncertainty principle? Many laws of physics are formulated in terms of differential equations, and the questions above are abou...Lasīt vairāk
(Izdošanas datums: 12-Nov-2018, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470449964)
Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort...Lasīt vairāk
(Izdošanas datums: 08-Sep-2018, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470447786)
The book is an excellent contribution to the literature concerning the mathematical analysis of the incompressible Navier-Stokes equations. It provides a very good introduction to the subject, covering several important directions, and also presents...Lasīt vairāk
(Izdošanas datums: 08-Aug-2018, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470447762)
Functional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, and physics. This book provides a comprehensive introduction to the field for graduate students and researchers. It begins in Chapter 1 wit...Lasīt vairāk
(Izdošanas datums: 06-Jul-2018, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470447274)
The theory of finite fields encompasses algebra, combinatorics, and number theory and has furnished widespread applications in other areas of mathematics and computer science. This book is a collection of selected topics in the theory of finite field...Lasīt vairāk
(Izdošanas datums: 11-Feb-2017, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470442262)
This book is about differentiation of functions. It is divided into two parts, which can be used as different textbooks, one for an advanced undergraduate course in functions of one variable and one for a graduate course on Sobolev functions. The fir...Lasīt vairāk
(Izdošanas datums: 08-Feb-2017, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470440817)
The theory of modular forms is a fundamental tool used in many areas of mathematics and physics. It is also a very concrete and "e;fun"e; subject in itself and abounds with an amazing number of surprising identities. This comprehensive textbo...Lasīt vairāk
(Izdošanas datums: 12-Jul-2016, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470435936)
Differential Galois theory is an important, fast developing area which appears more and more in graduate courses since it mixes fundamental objects from many different areas of mathematics in a stimulating context. For a long time, the dominant appro...Lasīt vairāk
(Izdošanas datums: 03-Dec-2015, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470422226)
This is an introductory course on the methods of computing asymptotics of probabilities of rare events: the theory of large deviations. The book combines large deviation theory with basic statistical mechanics, namely Gibbs measures with their variat...Lasīt vairāk
(Izdošanas datums: 12-Feb-2015, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470427337)
This book is the testimony of a physical scientist whose language is singular perturbation analysis. Classical mathematical notions, such as matched asymptotic expansions, projections of large dynamical systems onto small center manifolds, and modula...Lasīt vairāk
(Izdošanas datums: 02-Jan-2015, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470418014)
This book is an introduction to Cartans approach to differential geometry. Two central methods in Cartans geometry are the theory of exterior differential systems and the method of moving frames. The book presents thorough and modern treatments of...Lasīt vairāk
(Izdošanas datums: 02-Jan-2015, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470421021)
This fine book by Herb Clemens quickly became a favorite of many algebraic geometers when it was first published in 1980. It has been popular with novices and experts ever since. It is written as a book of "e;impressions"e; of a journey throu...Lasīt vairāk
(Izdošanas datums: 02-Jan-2015, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470420710)
This is an interesting and well-written account of the ergodic theory of stationary processes from the viewpoint of entropy theory. This book is a beautiful and very readable treatment of an important part of ergodic theory. ... strongly recommend th...Lasīt vairāk
(Izdošanas datums: 02-Jan-2015, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470421137)
The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classifi...Lasīt vairāk
