Geometry and Topology

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Crocheting Adventures with Hyperbolic Planes: Tactile Mathematics, Art and Craft for all to Explore, Second Edition

Daina Taimina
March 29, 2018

Winner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the...

Knot Theory: Second Edition

Vassily Olegovich Manturov
March 29, 2018

Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the...

Integration and Cubature Methods: A Geomathematically Oriented Course

Willi Freeden, Martin Gutting
November 27, 2017

In industry and economics, the most common solutions of partial differential equations involving multivariate numerical integration over cuboids include techniques of iterated one-dimensional approximate integration. In geosciences, however, the integrals are extended over potato-like volumes (such...

Fractals: Concepts and Applications in Geosciences

Behzad Ghanbarian, Allen G. Hunt
November 14, 2017

This book provides theoretical concepts and applications of fractals and multifractals to a broad range of audiences from various scientific communities, such as petroleum, chemical, civil and environmental engineering, atmospheric research, and hydrology. In the first chapter, we introduce...

Handbook of Discrete and Computational Geometry, Third Edition

Csaba D. Toth, Joseph O'Rourke, Jacob E. Goodman
November 09, 2017

The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use...

Willmore Energy and Willmore Conjecture

Magdalena D. Toda
October 13, 2017

This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus...

An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology

Sasho Kalajdzievski, Derek Krepski, Damjan Kalajdzievski
September 12, 2017

This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author. Except for a small number of exercises inthe first few sections, we provide solutions of the (228) odd-numbered problemsappearing in first part of the book (Topology)....

Recent Advances in Operator Theory and Operator Algebras

Hari Bercovici, Elias Katsoulis, David Kerr, Dan Timotin
July 20, 2017

This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent...

Essentials of Topology with Applications

Steven G. Krantz
May 31, 2017

Brings Readers Up to Speed in This Important and Rapidly Growing Area Supported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology....

Exploring Geometry, Second Edition

Michael Hvidsten
December 05, 2016

This text promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role...

Knot Projections

Noboru Ito
December 01, 2016

Knot Projections offers a comprehensive overview of the latest methods in the study of this branch of topology, based on current research inspired by Arnold’s theory of plane curves, Viro’s quantization of the Arnold invariant, and Vassiliev’s theory of knots, among others. The presentation...

Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics

Steinar Johannesen
December 01, 2016

This book provides a systematic presentation of the mathematical foundation of modern physics with applications particularly within classical mechanics and the theory of relativity. Written to be self-contained, Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics provides...