Calculus of Variations and Geometric Evolution Problems
Calculus of Variations and Geometric Evolution Problems

Author: F. Bethuel

Publisher: Springer

Published: 2006-11-14

Total Pages: 299

ISBN-13: 3540488138

DOWNLOAD EBOOK

The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory.

Economia Matematica
Economia Matematica

Author: Bruno de Finetti

Publisher: Springer Science & Business Media

Published: 2011-06-08

Total Pages: 143

ISBN-13: 3642110452

DOWNLOAD EBOOK

S.N. Afriat: Economic transformation.- M. Arcelli: Modelli aumentati e principio di corrispondenza nella metodologia di Andreas.- H. Kuhn: Some remarks on games of fair division.- H. Kuhn: On two theorems in international trade.- A.G. Papandreou: Theory, construction and empirical meaning in economics.

A History of Geometrical Methods
A History of Geometrical Methods

Author: Julian Lowell Coolidge

Publisher: Courier Corporation

Published: 2013-02-27

Total Pages: 484

ISBN-13: 0486158535

DOWNLOAD EBOOK

Full and authoritative, this history of the techniques for dealing with geometric questions begins with synthetic geometry and its origins in Babylonian and Egyptian mathematics; reviews the contributions of China, Japan, India, and Greece; and discusses the non-Euclidean geometries. Subsequent sections cover algebraic geometry, starting with the precursors and advancing to the great awakening with Descartes; and differential geometry, from the early work of Huygens and Newton to projective and absolute differential geometry. The author's emphasis on proofs and notations, his comparisons between older and newer methods, and his references to over 600 primary and secondary sources make this book an invaluable reference. 1940 edition.

Galileo Courtier
Galileo Courtier

Author: Mario Biagioli

Publisher: University of Chicago Press

Published: 2018-12-01

Total Pages: 417

ISBN-13: 022621897X

DOWNLOAD EBOOK

Informed by currents in sociology, cultural anthropology, and literary theory, Galileo, Courtier is neither a biography nor a conventional history of science. In the court of the Medicis and the Vatican, Galileo fashioned both his career and his science to the demands of patronage and its complex systems of wealth, power, and prestige. Biagioli argues that Galileo's courtly role was integral to his science—the questions he chose to examine, his methods, even his conclusions. Galileo, Courtier is a fascinating cultural and social history of science highlighting the workings of power, patronage, and credibility in the development of science.

Polyadic Groups
Polyadic Groups

Author: Wieslaw A. Dudek

Publisher: CRC Press

Published: 2024-03-22

Total Pages: 424

ISBN-13: 1040001041

DOWNLOAD EBOOK

This book provides a general, unified approach to the theory of polyadic groups, their normal subgroups and matrix representations. The author focuses on those properties of polyadic groups which are not present in the binary case. These properties indicate a strong relationship between polyadic groups and various group-like algebras, as well as ternary Hopf algebras and n-Lie algebras that are widely used in theoretical physics. The relationships of polyadic groups with special types of binary groups, called covering groups and binary retracts, are described. These relationships allow the study of polyadic groups using these binary groups and their automorphisms. The book also describes the affine geometry induced by polyadic groups and fuzzy subsets defined on polyadic groups. Finally, we discuss the categories of polyadic groups and the relationships between the different varieties of polyadic groups. In many cases, we give elegant new proofs of known theorems. We also give many interesting examples and applications. The book contains many little-known results from articles previously published in hard-to-reach Russian, Ukrainian and Macedonian journals. These articles are not in English.

Topology
Topology

Author: Marco Manetti

Publisher: Springer

Published: 2015-06-19

Total Pages: 315

ISBN-13: 3319169580

DOWNLOAD EBOOK

This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological spaces and continuous functions; connectedness and compactness; Alexandrov compactification; quotient topologies; countability and separation axioms; prebasis and Alexander's theorem; the Tychonoff theorem and paracompactness; complete metric spaces and function spaces; Baire spaces; homotopy of maps; the fundamental group; the van Kampen theorem; covering spaces; Brouwer and Borsuk's theorems; free groups and free product of groups; and basic category theory. While it is very concrete at the beginning, abstract concepts are gradually introduced. It is suitable for anyone needing a basic, comprehensive introduction to general and algebraic topology and its applications.