Tag: Topology

Free Download Geo-Topology: Theory, Models and Applications
English | 2024 | ISBN: 3031481844 | 321 Pages | PDF EPUB (True) | 54 MB
It shows how topics of geographical research (landscapes, borders, spatial social relationships etc) can be examined by using mathematical concepts and methods of Topology, exposing the realm of geo-topological modelling and visualization through Point-Set Topology, Knot Theory, Reeb graphs, Topological Surfaces (i.e. Möbius bands and Klein bottles), Differential Topology, Network Analysis, Combinatorial Topology, Braid Theory and Ultrametric Topology.

Free Download Algebraic Foundations for Applied Topology and Data Analysis (Mathematics of Data) by Hal Schenck
English | November 22, 2022 | ISBN: 3031066634 | 236 pages | MOBI | 25 Mb
This book gives an intuitive and hands-on introduction to Topological Data Analysis (TDA). Covering a wide range of topics at levels of sophistication varying from elementary (matrix algebra) to esoteric (Grothendieck spectral sequence), it offers a mirror of data science aimed at a general mathematical audience.

Free Download 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,

Free Download Sufian Y. Husseini, "Geometry and Topology of Configuration Spaces"
English | 2001 | ISBN: 3642630774, 3540666699 | DJVU | pages: 329 | 2.0 mb
With applications in mind, this self-contained monograph provides a coherent and thorough treatment of the configuration spaces of Euclidean spaces and spheres, making the subject accessible to researchers and graduates with a minimal background in classical homotopy theory and algebraic topology.

Free Download Homotopical Topology, Second Edition by Anatoly Fomenko , Dmitry Fuchs
English | PDF (True) | 2016 | 635 Pages | ISBN : 3319234870 | 27 MB
This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and is difficult to obtain. Therefore, this updated English edition will be much welcomed by the mathematical community. Distinctive features of this book include: a concise but fully rigorous presentation, supplemented by a plethora of illustrations of a high technical and artistic caliber; a huge number of nontrivial examples and computations done in detail; a deeper and broader treatment of topics in comparison to most beginning books on algebraic topology; an extensive, and very concrete, treatment of the machinery of spectral sequences. The second edition contains an entirely new chapter on K-theory and the Riemann-Roch theorem (after Hirzebruch and Grothendieck).

Free Download Masanori Morishita, "Knots and Primes: An Introduction to Arithmetic Topology"
English | 2011 | pages: 202 | ISBN: 1447121570 | EPUB | 2,7 mb
This is a foundation for arithmetic topology – a new branch of mathematics which is focused upon the analogy between knot theory and number theory. Starting with an informative introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and number fields. Common aspects of both knot theory and number theory, for instance knots in three manifolds versus primes in a number field, are compared throughout the book. These comparisons begin at an elementary level, slowly building up to advanced theories in later chapters. Definitions are carefully formulated and proofs are largely self-contained. When necessary, background information is provided and theory is accompanied with a number of useful examples and illustrations, making this a useful text for both undergraduates and graduates in the field of knot theory, number theory and geometry. ​

Free Download Metric Space Topology : Examples, Exercises and Solutions (441 Pages)
by Wing-Sum Cheung
English | 2042 | ISBN: 9811266972 | 442 pages | True PDF | 11.9 MB

Free Download Topology, 2nd Edition
English | 2023 | ISBN: 3031321413 | 377 Pages | PDF EPUB (True) | 34 MB
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; con- nectedness and compactness; Alexandrov compactification; quotient topol- ogies; 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.

Free Download The Topology of Planning Theories: A Systematization of Planning Knowledge by Meike Levin-Keitel , Lukas Behrend
English | PDF EPUB (True) | 2023 | 123 Pages | ISBN : 3031378563 | 7.1 MB
The book discusses and organizes planning theories in a new way. Building on a foundation in scientific theory, both planning practice and the planning sciences are thereby classified and their inherent importance is organized in terms of knowledge generation. The core of the book is a knowledge-oriented systematization of planning knowledge in the form of planning theories, the topology of planning theories. The target audience of this work are academic as well as practical users from diverse disciplines with spatial impact, such as spatial planning, urban planning, regional planning, landscape planning, geography, urban studies, architecture and landscape architecture.

Free Download Topology: A Very Short Introduction (Audiobook)
English | June 16, 2020 | ASIN: B089B4T6YN | M4B@128 kbps | 4h 45m | 264 MB
Author: Richard Earl | Narrator: Bruce Mann
How is a subway map different from other maps? What makes a knot knotted? What makes the Möbius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century, topology became as broad and fundamental as algebra and geometry, with important implications for science, especially physics.