Invitations To Geometry And Topology PDF Download
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Author | : Martin R. Bridson |
Publisher | : |
Total Pages | : 352 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 9780198507727 |
Download Invitations to Geometry and Topology Book in PDF, ePub and Kindle
This volume presents an array of topics that introduce the reader to key ideas in active areas in geometry and topology. The material is presented in a way that both graduate students and researchers should find accessible and enticing. The topics covered range from Morse theory and complex geometry theory to geometric group theory, and are accompanied by exercises that are designed to deepen the reader's understanding and to guide them in exciting directions for future investigation.
Author | : Maurice Fréchet |
Publisher | : Courier Corporation |
Total Pages | : 148 |
Release | : 2012-08-13 |
Genre | : Mathematics |
ISBN | : 0486147886 |
Download Invitation to Combinatorial Topology Book in PDF, ePub and Kindle
An elementary text that can be understood by anyone with a background in high school geometry, Invitation to Combinatorial Topology offers a stimulating initiation to important topological ideas. This translation from the original French does full justice to the text's coherent presentation as well as to its rich historical content. Subjects include the problems inherent to coloring maps, homeomorphism, applications of Descartes' theorem, and topological polygons. Considerations of the topological classification of closed surfaces cover elementary operations, use of normal forms of polyhedra, reduction to normal form, and application to the geometric theory of functions. 1967 edition. 108 figures. Bibliography. Index.
Author | : K. Parthasarathy |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2022-07-10 |
Genre | : Mathematics |
ISBN | : 9789811694837 |
Download Topology Book in PDF, ePub and Kindle
This book starts with a discussion of the classical intermediate value theorem and some of its uncommon “topological” consequences as an appetizer to whet the interest of the reader. It is a concise introduction to topology with a tinge of historical perspective, as the author’s perception is that learning mathematics should be spiced up with a dash of historical development. All the basics of general topology that a student of mathematics would need are discussed, and glimpses of the beginnings of algebraic and combinatorial methods in topology are provided. All the standard material on basic set topology is presented, with the treatment being sometimes new. This is followed by some of the classical, important topological results on Euclidean spaces (the higher-dimensional intermediate value theorem of Poincaré–Miranda, Brouwer’s fixed-point theorem, the no-retract theorem, theorems on invariance of domain and dimension, Borsuk’s antipodal theorem, the Borsuk–Ulam theorem and the Lusternik–Schnirelmann–Borsuk theorem), all proved by combinatorial methods. This material is not usually found in introductory books on topology. The book concludes with an introduction to homotopy, fundamental groups and covering spaces. Throughout, original formulations of concepts and major results are provided, along with English translations. Brief accounts of historical developments and biographical sketches of the dramatis personae are provided. Problem solving being an indispensable process of learning, plenty of exercises are provided to hone the reader's mathematical skills. The book would be suitable for a first course in topology and also as a source for self-study for someone desirous of learning the subject. Familiarity with elementary real analysis and some felicity with the language of set theory and abstract mathematical reasoning would be adequate prerequisites for an intelligent study of the book.
Author | : Glen E. Bredon |
Publisher | : Springer Science & Business Media |
Total Pages | : 571 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475768486 |
Download Topology and Geometry Book in PDF, ePub and Kindle
This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."—-MATHEMATICAL REVIEWS
Author | : Heather A. Dye |
Publisher | : CRC Press |
Total Pages | : 256 |
Release | : 2018-09-03 |
Genre | : Mathematics |
ISBN | : 1315362384 |
Download An Invitation to Knot Theory Book in PDF, ePub and Kindle
The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. It provides the foundation for students to research knot theory and read journal articles on their own. Each chapter includes numerous examples, problems, projects, and suggested readings from research papers. The proofs are written as simply as possible using combinatorial approaches, equivalence classes, and linear algebra. The text begins with an introduction to virtual knots and counted invariants. It then covers the normalized f-polynomial (Jones polynomial) and other skein invariants before discussing algebraic invariants, such as the quandle and biquandle. The book concludes with two applications of virtual knots: textiles and quantum computation.
Author | : Masoud Khalkhali |
Publisher | : World Scientific |
Total Pages | : 515 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9812814337 |
Download An Invitation to Noncommutative Geometry Book in PDF, ePub and Kindle
A walk in the noncommutative garden / A. Connes and M. Marcolli -- Renormalization of noncommutative quantum field theory / H. Grosse and R. Wulkenhaar -- Lectures on noncommutative geometry / M. Khalkhali -- Noncommutative bundles and instantons in Tehran / G. Landi and W. D. van Suijlekom -- Lecture notes on noncommutative algebraic geometry and noncommutative tori / S. Mahanta -- Lectures on derived and triangulated categories / B. Noohi -- Examples of noncommutative manifolds: complex tori and spherical manifolds / J. Plazas -- D-branes in noncommutative field theory / R. J. Szabo.
Author | : Z. A. Melzak |
Publisher | : John Wiley & Sons |
Total Pages | : 248 |
Release | : 1983 |
Genre | : Mathematics |
ISBN | : |
Download Invitation to Geometry Book in PDF, ePub and Kindle
Author | : Filippo Callegaro |
Publisher | : Springer |
Total Pages | : 379 |
Release | : 2016-08-27 |
Genre | : Mathematics |
ISBN | : 3319315803 |
Download Configuration Spaces Book in PDF, ePub and Kindle
This book collects the scientific contributions of a group of leading experts who took part in the INdAM Meeting held in Cortona in September 2014. With combinatorial techniques as the central theme, it focuses on recent developments in configuration spaces from various perspectives. It also discusses their applications in areas ranging from representation theory, toric geometry and geometric group theory to applied algebraic topology.
Author | : José Luis Cisneros-Molina |
Publisher | : Springer Nature |
Total Pages | : 622 |
Release | : 2023-11-10 |
Genre | : Mathematics |
ISBN | : 3031319257 |
Download Handbook of Geometry and Topology of Singularities IV Book in PDF, ePub and Kindle
This is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of twelve chapters which provide an in-depth and reader-friendly survey of various important aspects of singularity theory. Some of these complement topics previously explored in volumes I to III. Amongst the topics studied in this volume are the Nash blow up, the space of arcs in algebraic varieties, determinantal singularities, Lipschitz geometry, indices of vector fields and 1-forms, motivic characteristic classes, the Hilbert-Samuel multiplicity and comparison theorems that spring from the classical De Rham complex. Singularities are ubiquitous in mathematics and science in general. Singularity theory is a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other subjects. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.
Author | : Charles Terence Clegg Wall |
Publisher | : Courier Corporation |
Total Pages | : 195 |
Release | : 1993-01-01 |
Genre | : Mathematics |
ISBN | : 0486678504 |
Download A Geometric Introduction to Topology Book in PDF, ePub and Kindle
First course in algebraic topology for advanced undergraduates. Homotopy theory, the duality theorem, relation of topological ideas to other branches of pure mathematics. Exercises and problems. 1972 edition.