Robert J. Lang

Twists, Tilings, and Tessellations: Mathematical Methods for Geometric Origami

Paperback
Hardback
December 28, 2017
Reference - 736 Pages
ISBN 9781138563063 -

Description

Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.

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Edited by Mark L. Agranovsky: Bar-Ilan University, Ramat-Gan, Israel,
Matania Ben-Artzi: Hebrew University, Jerusalem, Israel,
Catherine Beneteau: University of South Florida, Tampa, FL,
Lavi Karp: ORT Braude College, Karmiel, Israel,
Dmitry Khavinson: University of South Florida, Tampa, FL,
Simeon Reich: Technion, Haifa, Israel,
David Shoikhet: Holon Institute of Technology, Holon, Israel,
Gilbert Weinstein: Ariel University, Ariel, Israel,
Lawrence Zalcman: Bar-Ilan University, Ramat-Gan, Israel

Complex Analysis and Dynamical Systems VII
This volume contains the proceedings of the Seventh International Conference on Complex Analysis and Dynamical Systems, held from May 10-15, 2015, in Nahariya, Israel.

Contemporary Mathematics, Volume: 699
2017; 293 pp; Softcover
Print ISBN: 978-1-4704-2961-4

The papers in this volume range over a wide variety of topics in the interaction between various branches of mathematical analysis. Taken together, the articles collected here provide the reader with a panorama of activity in complex analysis, geometry, harmonic analysis, and partial differential equations, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis.

Readership

Graduate students and research mathematicians interested in complex analysis and dynamical systems.

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Edited by Alexandre Girouard: Universite Laval, Quebec, Canada,
Dmitry Jakobson: McGill University, Montreal, Quebec, Canada,
Michael Levitin: University of Reading, Reading, United Kingdom,
Nilima Nigam: Simon Frasier University, Burnaby, British Columbia, Canada,
Iosif Polterovich: Universite de Montreal, Montreal, Quebec, Canada,
Frederic Rochon: Universite du Quebec a Montreal, Montreal, Quebec, Canada

Geometric and Computational Spectral Theory

Contemporary Mathematics, Volume: 700
2017; 284 pp;? Softcover
Print ISBN: 978-1-4704-2665-1

The book is a collection of lecture notes and survey papers based on the mini-courses given by leading experts at the 2015 Seminaire de Mathematiques Superieures on Geometric and Computational Spectral Theory, held from June 15?26, 2015, at the Centre de Recherches Mathematiques, Universite de Montreal, Montreal, Quebec, Canada.

The volume covers a broad variety of topics in spectral theory, highlighting its connections to differential geometry, mathematical physics and numerical analysis, bringing together the theoretical and computational approaches to spectral theory, and emphasizing the interplay between the two.

Readership

Graduate students and research mathematicians interested in spectral theory and numerical methods.

Table of Contents

James W. Cannon: Brigham Young University, Provo, UT

Two-Dimensional Spaces, Volumes 1, 2, and 3

2017; 389 pp; Softcover
Print ISBN: 978-1-4704-4323-8

This three-volume collection is devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels who are interested in geometry and topology.

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Felix Klein, Robert Fricke
Translated by Arthur M. DuPre.

Lectures on the Theory of Automorphic Functions: First Volume

Classical Topics in Mathematics, Volume: 3
2017; 539 pp;? Hardcover
Print ISBN: 978-7-04-047840-2

Felix Klein's famous Erlangen program made the theory of group actions into a central part of mathematics. In the spirit of this program, Klein set out to write a grand series of books which unified many different subjects of mathematics, including number theory, geometry, complex analysis, and discrete subgroups.

The first book on icosahedron and the solution of equations of the fifth degree showed closed relations between three seemingly different subjects: the symmetries of the icosahedron, the solution to fifth degree algebraic equations, and the differential equation of hypergeometric functions. It was translated into English in 1888, four years after its original German version was published in 1884. It was followed by two volumes on elliptic modular functions by Klein and Fricke and two more volumes on automorphic functions also by Klein and Fricke.

These four classic books are vast generalizations of the first volume and contain the highly original works of Poincare and Klein on automorphic forms. They have been very influential in the development of mathematics and are now available in English for the first time. These books contain many original ideas, striking examples, explicit computations, and details which are not available anywhere else. They will be very valuable references for people at all levels and allow the reader to see the unity of mathematics through the eyes of one of the most influential mathematicians with vision, Felix Klein.

Readership

Graduate students and research mathematicians interested in the theory of automorphic functions.

Table of Contents

Felix Klein, Robert Fricke
Translated by Arthur M. DuPre.

Lectures on the Theory of Automorphic Functions: Second Volume

Classical Topics in Mathematics, Volume: 4
2017; 563 pp;? Hardcover
Print ISBN: 978-7-04-047839-6

Felix Klein's famous Erlangen program made the theory of group actions into a central part of mathematics. In the spirit of this program, Klein set out to write a grand series of books which unified many different subjects of mathematics, including number theory, geometry, complex analysis, and discrete subgroups.

The first book on icosahedron and the solution of equations of the fifth degree showed closed relations between three seemingly different subjects: the symmetries of the icosahedron, the solution to fifth degree algebraic equations, and the differential equation of hypergeometric functions. It was translated into English in 1888, four years after its original German version was published in 1884. It was followed by two volumes on elliptic modular functions by Klein and Fricke and two more volumes on automorphic functions also by Klein and Fricke.

These four classic books are vast generalizations of the first volume and contain the highly original works of Poincare and Klein on automorphic forms. They have been very influential in the development of mathematics and are now available in English for the first time. These books contain many original ideas, striking examples, explicit computations, and details which are not available anywhere else. They will be very valuable references for people at all levels and allow the reader to see the unity of mathematics through the eyes of one of the most influential mathematicians with vision, Felix Klein.

Readership

Graduate students and research mathematicians interested in the theory of automorphic functions.

Table of Contents