Topology 1

Basic Topology 1: Metric Spaces and General Topology  eBooks & eLearning

Posted by hill0 at July 6, 2022
Basic Topology 1: Metric Spaces and General Topology

Basic Topology 1: Metric Spaces and General Topology
English | 2022 | ISBN: 9811665087 | 530 Pages | PDF EPUB (True) | 22 MB
An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology

, "An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology"
English | ISBN: 1138553468 | 2017 | 114 pages | EPUB, PDF | 3 MB + 7 MB

Topology Design of Structures  eBooks & eLearning

Posted by AvaxGenius at Jan. 2, 2024
Topology Design of Structures

Topology Design of Structures by Topology Design of Structures
English | PDF | 1993 | 564 Pages | ISBN : 0792320557 | 48.1 MB

This book contains the edited version of lectures and contributed papers presented at the NA TO ADV ANCED RESEARCH WORKSHOP ON TOPOLOGY OPTIMIZATION OF STRUCTURES, held at Hotel do Mar, Sesimbra, Portugal, 20 June to 26 June, 1992, and organised by the Mathematical Institutc, The Technical University of Denmark and bv CEMUL-Center of Mechanics and Materials of the Techmcal University of Lisbon, Fifty participants from' fourteen countries attended the workshop,

Mathematical and Molecular Topology  eBooks & eLearning

Posted by AvaxGenius at July 30, 2023
Mathematical and Molecular Topology

Mathematical and Molecular Topology by Lorentz JÄNTSCHI and Mihaela Tomescu
English | PDF | 2023 | 80 Pages | ISBN : N/A | 5.9 MB

Topology is one of the fundamental tools in relating entities. Topology naturally finds application in all fields of engineering, physical sciences, life sciences, social sciences, medicine, business and even the arts. The motivating insight behind topology is that some geometric problems depend not on the exact shape of the objects involved, but rather on the way they are put together. Circa 1750, Euler stated the polyhedron formula, V − E + F = 2 (where V, E, and F respectively indicate the number of vertices, edges, and faces of the polyhedron), which may be regarded as the first theorem, signaling the birth of topology. Subjects included in topology are algebraic topology and graph theory. A related branch to graph theory is molecular topology (with concerns of either chemical or biological structure).

Introduction to Piecewise-Linear Topology  eBooks & eLearning

Posted by AvaxGenius at Jan. 15, 2024
Introduction to Piecewise-Linear Topology

Introduction to Piecewise-Linear Topology by Colin P. Rourke , Brian J. Sanderson
English | PDF | 1982 | 133 Pages | ISBN : 3540111026 | 14.1 MB

The first five chapters of this book form an introductory course in piece­ wise-linear topology in which no assumptions are made other than basic topological notions. This course would be suitable as a second course in topology with a geometric flavour, to follow a first course in point-set topology, andi)erhaps to be given as a final year undergraduate course. The whole book gives an account of handle theory in a piecewise­ linear setting and could be the basis of a first year postgraduate lecture or reading course. Some results from algebraic topology are needed for handle theory and these are collected in an appendix. In a second appen­ dix are listed the properties of Whitehead torsion which are used in the s-cobordism theorem. These appendices should enable a reader with only basic knowledge to complete the book. The book is also intended to form an introduction to modern geo­ metric topology as a research subject, a bibliography of research papers being included. We have omitted acknowledgements and references from the main text and have collected these in a set of "historical notes" to be found after the appendices.

"Topology: Recent Advances and Applications" ed. by Paul Bracken  eBooks & eLearning

Posted by exLib at Sept. 2, 2023
"Topology: Recent Advances and Applications" ed. by Paul Bracken

"Topology: Recent Advances and Applications" ed. by Paul Bracken
ITexLi | 2023 | ISBN: 183769558X 9781837695584 1837695598 9781837695591 1837695601 9781837695607 | 192 pages | PDF | 12 MB

This volume is dedicated to topology and will contribute to stimulating research in this basic area of mathematics.

Geometric Aspects of General Topology (Repost)  eBooks & eLearning

Posted by step778 at Aug. 21, 2020
Geometric Aspects of General Topology (Repost)

Katsuro Sakai, "Geometric Aspects of General Topology"
English | 2013 | pages: 536 | ISBN: 4431543961 | PDF | 3,2 mb

Topology and Groupoids  eBooks & eLearning

Posted by DZ123 at April 25, 2023
Topology and Groupoids

Ronald Brown, "Topology and Groupoids"
English | 2006 | ISBN: 1419627228 | PDF | pages: 538 | 4.4 mb

Topology of Singular Fibers of Differentiable Maps (Repost)  eBooks & eLearning

Posted by AvaxGenius at March 24, 2022
Topology of Singular Fibers of Differentiable Maps (Repost)

Topology of Singular Fibers of Differentiable Maps by Osamu Saeki
English | PDF | 2004 | 140 Pages | ISBN : 3540230211 | 1.5 MB

The volume develops a thorough theory of singular fibers of generic differentiable maps. This is the first work that establishes the foundational framework of the global study of singular differentiable maps of negative codimension from the viewpoint of differential topology. The book contains not only a general theory, but also some explicit examples together with a number of very concrete applications.

"Topology Advanced Topics" ed. by Francisco Bulnes  eBooks & eLearning

Posted by exLib at Aug. 10, 2022
"Topology Advanced Topics" ed. by Francisco Bulnes

"Topology Advanced Topics" ed. by Francisco Bulnes
ITexLi | 2022 | ISBN: 1803550945 9781803550947 1803550937 9781803550930 1803550953 9781803550954 | 107 pages | PDF | 5 MB

This book discusses various concepts and theories of topology, including diffeomorphisms, immersions, Hausdorff spaces, cobordisms, homotopy theory, symplectic manifolds, topology of quantum field theory, algebraic varieties, dimension theory, Koszul complexes, continuum theory, and metrizability, among others.