Mappings

Mappings
Author: Denis Cosgrove
Publisher: Reaktion Books
Total Pages: 326
Release: 1999-04-01
Genre: Education
ISBN: 1861898363

Mappings explores what mapping has meant in the past and how its meanings have altered. How have maps and mapping served to order and represent physical, social and imaginative worlds? How has the practice of mapping shaped modern seeing and knowing? In what ways do contemporary changes in our experience of the world alter the meanings and practice of mapping, and vice versa? In their diverse expressions, maps and the representational processes of mapping have constructed the spaces of modernity since the early Renaissance. The map's spatial fixity, its capacity to frame, control and communicate knowledge through combining image and text, and cartography's increasing claims to scientific authority, make mapping at once an instrument and a metaphor for rational understanding of the world. Among the topics the authors investigate are projective and imaginative mappings; mappings of terraqueous spaces; mapping and localism at the 'chorographic' scale; and mapping as personal exploration. With essays by Jerry Brotton, Paul Carter, Michael Charlesworth, James Corner, Wystan Curnow, Christian Jacob, Luciana de Lima Martins, David Matless, Armand Mattelart, Lucia Nuti and Alessandro Scafi


Polynomial Mappings

Polynomial Mappings
Author: Wladyslaw Narkiewicz
Publisher: Springer
Total Pages: 144
Release: 2006-11-14
Genre: Mathematics
ISBN: 3540492666

The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables. Algebraic properties of the ring Int(R) of polynomials mapping a given ring R into itself are presented in the first part, starting with classical results of Polya, Ostrowski and Skolem. The second part deals with fully invariant sets of polynomial mappings F in one or several variables, i.e. sets X satisfying F(X)=X . This includes in particular a study of cyclic points of such mappings in the case of rings of algebrai integers. The text contains several exercises and a list of open problems.


Mappings with Direct and Inverse Poletsky Inequalities

Mappings with Direct and Inverse Poletsky Inequalities
Author: Evgeny Sevost'yanov
Publisher: Springer Nature
Total Pages: 437
Release: 2023-12-22
Genre: Mathematics
ISBN: 3031454189

The monograph is devoted to the use of the moduli method in mapping theory, in particular, the meaning of direct and inverse modulus inequalities and their possible applications. The main goal is the development of a modulus technique in the Euclidean space and some metric spaces (manifolds, surfaces, quotient spaces, etc.). Particular attention is paid to the local and boundary behavior of mappings, as well as to obtaining modulus inequalities for some classes. The reader is invited to familiarize himself with all the main achievements of the author, synthesized in this book. The results presented here are of a high scientific level, are new and have no analogues in the world with such a degree of generality.


Mappings in Thought and Language

Mappings in Thought and Language
Author: Gilles Fauconnier
Publisher: Cambridge University Press
Total Pages: 228
Release: 1997-06-13
Genre: Language Arts & Disciplines
ISBN: 9780521599535

Meaning in everyday thought and language is constructed at lightning speed. We are not conscious of the staggering complexity of the cognitive operations that drive our simplest behavior. This 1997 book examines a central component of meaning construction: the mappings that link mental spaces. A deep result of the research is that the same principles operate at the highest levels of scientific, artistic, and literary thought, and at the lower levels of elementary understanding and sentence meaning. Some key cognitive operations are analogical mappings, conceptual integration and blending, discourse management, induction and recursion. The analyses are based on a rich array of attested data in ordinary language, humor, action and design, science, and narratives. Phenomena that receive attention include counterfactuals; time, tense, and mood; opacity; metaphor; fictive motion; grammatical constructions; quantification over cognitive domains.


Lectures on Mappings of Finite Distortion

Lectures on Mappings of Finite Distortion
Author: Stanislav Hencl
Publisher: Springer
Total Pages: 182
Release: 2014-01-24
Genre: Mathematics
ISBN: 3319031732

In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects.


Space Mappings with Bounded Distortion

Space Mappings with Bounded Distortion
Author: I_Uri_ Grigor_evich Reshetni_ak
Publisher: American Mathematical Soc.
Total Pages: 384
Release: 1989-12-31
Genre: Mathematics
ISBN: 9780821898215

This book is intended for researchers and students concerned with questions in analysis and function theory. The author provides an exposition of the main results obtained in recent years by Soviet and other mathematicians in the theory of mappings with bounded distortion, an active direction in contemporary mathematics. The mathematical tools presented can be applied to a broad spectrum of problems that go beyond the context of the main topic of investigation. For a number of questions in the theory of partial differential equations and the theory of functions with generalized derivatives, this is the first time they have appeared in an internationally distributed monograph.


Convex and Starlike Mappings in Several Complex Variables

Convex and Starlike Mappings in Several Complex Variables
Author: Sheng Gong
Publisher: Springer Science & Business Media
Total Pages: 220
Release: 2012-12-06
Genre: Mathematics
ISBN: 9401152063

This book deals with the theory of convex and starlike biholomorphic mappings in several complex variables. The underlying theme is the extension to several complex variables of geometric aspects of the classical theory of univalent functions. This is the first book which systematically studies this topic. It gathers together, and presents in a unified manner, the current state of affairs for convex and starlike biholomorphic mappings in several complex variables. The majority of the results presented are due to the author, his co-workers and his students. Audience: This volume will be of interest to research mathematicians whose work involves several complex variables and one complex variable.


On neutrosophic soft continuous mappings

On neutrosophic soft continuous mappings
Author: Taha Yasin Öztürk
Publisher: Infinite Study
Total Pages: 15
Release:
Genre: Mathematics
ISBN:

In this paper, the concept of neutrosophic soft continuous mapping, neutrosophic soft open mapping, neutrosophic soft closed mapping and neutrosophic soft homeomorphism have been introduced along with the investigation of their several characteristics, and verified by proper examples.