Mathematics

Geometry and Topology

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Sturm-Liouville Problems: Theory and Numerical Implementation

1st Edition

Featured

Ronald B. Guenther, John W Lee
November 8, 2018

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ordinary and partial differential equations. Sturm-Liouville Problems: Theory and Numerical Implementat...

Volumetric Discrete Geometry

1st Edition

Karoly Bezdek, Zsolt Langi
April 24, 2019

Volume of geometric objects plays an important role in applied and theoretical mathematics. This is particularly true in the relatively new branch of discrete geometry, where volume is often used to find new topics for research. Volumetric Discrete Geometry demonstrates the recent aspects of volume...

Curved-Folding Origami Design

1st Edition

Jun Mitani
March 27, 2019

The origami introduced in this book is based on simple techniques. Some were previously known by origami artists and some were discovered by the author. Curved-Folding Origami Design shows a way to explore new area of origami composed of curved folds. Each technique is introduced in a step-by-step...

Handbook of Conformal Mappings and Applications

1st Edition

Prem K. Kythe
March 04, 2019

The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem — for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain...

Pencils of Cubics and Algebraic Curves in the Real Projective Plane

1st Edition

Séverine Fiedler - Le Touzé
November 26, 2018

Pencils of Cubics and Algebraic Curves in the Real Projective Plane thoroughly examines the combinatorial configurations of n generic points in RP². Especially how it is the data describing the mutual position of each point with respect to lines and conics passing through others. The first section...

Sturm-Liouville Problems: Theory and Numerical Implementation

1st Edition

Ronald B. Guenther, John W Lee
November 08, 2018

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ordinary and partial differential equations. Sturm-Liouville Problems: Theory and Numerical...

Planetary Remote Sensing and Mapping

1st Edition

Bo Wu, Kaichang Di, Jürgen Oberst, Irina Karachevtseva
November 06, 2018

The early 21st century marks a new era in space exploration. The National Aeronautics and Space Administration (NASA) of the United States, The European Space Agency (ESA), as well as space agencies of Japan, China, India, and other countries have sent their probes to the Moon, Mars, and other...

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...

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