Mathematics

Geometry and Topology

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Fractals: Concepts and Applications in Geosciences

Behzad Ghanbarian, Allen G. Hunt
November 22, 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...

Differential Geometry of Curves and Surfaces

Thomas F. Banchoff, Stephen T. Lovett
October 31, 2017

Students and professors of an undergraduate course in differential geometry will appreciate the clear exposition and comprehensive exercises in this book that focuses on the geometric properties of curves and surfaces, one- and two-dimensional objects in Euclidean space. The problems generally...

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...

Buildings and Schubert Schemes

Carlos Contou-Carrere
November 01, 2016

The first part of this book introduces the Schubert Cells and varieties of the general linear group Gl (k^(r+1)) over a field k according to Ehresmann geometric way. Smooth resolutions for these varieties are constructed in terms of Flag Configurations in k^(r+1) given by linear graphs called...

Introduction to Abelian Model Structures and Gorenstein Homological Dimensions

Marco A. P. Bullones
August 17, 2016

Introduction to Abelian Model Structures and Gorenstein Homological Dimensions provides a starting point to study the relationship between homological and homotopical algebra, a very active branch of mathematics. The book shows how to obtain new model structures in homological algebra by...

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