Mathematics

Geometry and Topology

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Topological Methods for Differential Equations and Inclusions

1st Edition

John R. Graef, Johnny Henderson, Abdelghani Ouahab
October 02, 2018

Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove...

Geometry and Martingales in Banach Spaces

1st Edition

Wojbor A. Woyczynski
September 17, 2018

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts such as...

Gorenstein Homological Algebra

1st Edition

Alina Iacob
August 10, 2018

Gorenstein homological algebra is an important area of mathematics, with applications in commutative and noncommutative algebra, model category theory, representation theory, and algebraic geometry. While in classical homological algebra the existence of the projective, injective, and flat...

Handbook of Geometric Constraint Systems Principles

1st Edition

Meera Sitharam, Audrey St. John, Jessica Sidman
July 25, 2018

The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical and computational tools and techniques of the geometric constraint system (GCS). It functions as a single source containing the core principles and results, accessible to both...

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

2nd 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

2nd 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

1st Edition

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

1st Edition

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

3rd 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

1st Edition

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

1st Edition

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

1st Edition

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...

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