(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
Sangita Jha, Mrinal Kanti Roychowdhury, Saurabh Verma
Sērija : Contemporary Mathematics
(Izdošanas datums: 04-May-2024, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470476106)
This volume contains the proceedings of the virtual AMS Special Session on Fractal Geometry and Dynamical Systems, held from May 14-15, 2022. The content covers a wide range of topics. It includes nonautonomous dynamics of complex polynomials, theory...Lasīt vairāk
When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhauser title by the same author, A Concise Introduction to the Theory of Integration. Appropriate as a primary text for a on...Lasīt vairāk
When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhauser title by the same author, A Concise Introduction to the Theory of Integration. Appropriate as a primary text for a on...Lasīt vairāk
This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Con...Lasīt vairāk
(Izdošanas datums: 04-Dec-2017, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470440480)
This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The au...Lasīt vairāk
(Izdošanas datums: 03-Jun-2016, PDF+DRM, Izdevniecība: Springer London Ltd, ISBN-13: 9781447168119)
This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension. This ap...Lasīt vairāk
Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open proble...Lasīt vairāk
This book develops continuum modeling skills and approaches the topic from three sides: (1) derivation of global integral laws together with the associated local differential equations, (2) design of constitutive laws and (3) modeling boundary proces...Lasīt vairāk
(Izdošanas datums: 02-Jan-2015, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470420963)
Integration is one of the two cornerstones of analysis. Since the fundamental work of Lebesgue, integration has been presented in terms of measure theory. This introductory text starts with the historical development of the notion of the integral and...Lasīt vairāk
(Izdošanas datums: 10-Mar-2012, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9780821891605)
This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can ea...Lasīt vairāk
(Izdošanas datums: 15-Jan-2007, PDF+DRM, Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, ISBN-13: 9783540345145)
Measure theory is a classical area of mathematics born more than two thousand years ago. Nowadays it continues intensive development and has fruitful connections with most other fields of mathematics as well as important applications in physics. This...Lasīt vairāk
(Izdošanas datums: 30-May-2014, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470414115)
From the earliest days of measure theory, invariant measures have held the interests of geometers and analysts alike, with the Haar measure playing an especially delightful role. The aim of this book is to present invariant measures on topological gr...Lasīt vairāk
(Izdošanas datums: 31-Aug-2023, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470474324)
This book gives a self-contained introduction to the modern ideas and problems of harmonic analysis. Intended for third- and fourth-year undergraduates, the book only requires basic knowledge of real analysis, and covers necessary background in measu...Lasīt vairāk
(Izdošanas datums: 30-Oct-2015, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470426231)
Mathematics++ is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, hi...Lasīt vairāk
(Izdošanas datums: 30-Jun-2024, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470477349)
A fundamental question in the theory of discrete and continuous-time population models concerns the conditions for the extinction or persistence of populations - a question that is addressed mathematically by persistence theory. For some time, it has...Lasīt vairāk
David Carfi, Michel L. Lapidus, Erin P. J. Pearse, Machiel van Frankenhuijsen
Sērija : Contemporary Mathematics
(Izdošanas datums: 01-Oct-2013, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470410834)
This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geomet...Lasīt vairāk
(Izdošanas datums: 30-May-2014, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470415266)
The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on the dimension stands at the intersection of classical convex geometry and the local theory of Banach...Lasīt vairāk
(Izdošanas datums: 30-Dec-2015, PDF+DRM, Izdevniecība: American Mathematical Society, ISBN-13: 9781470427375)
A User-Friendly Introduction to Lebesgue Measure and Integration provides a bridge between an undergraduate course in Real Analysis and a first graduate-level course in Measure Theory and Integration. The main goal of this book is to prepare students...Lasīt vairāk
