Minimal Surfaces Part 1 The Art
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Minimal Surfaces Part 1 The Art
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Author : Jean Constant
language : en
Publisher: Hermay NM
Release Date : 2022-06-16
Minimal Surfaces Part 1 The Art written by Jean Constant and has been published by Hermay NM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-16 with Art categories.
A two-part book on the exploration of minimal surfaces. In mathematics, a minimal surface is a surface for which the mean curvature H is zero at all points. These elegant and complex shapes found in Nature from butterflies, beetles, or black holes are studied today in statistics, material sciences, and architecture. I explored this singular shape from the perspective of a visual artist for 52 weeks, January-December 2021. Inspiring in many ways, the esthetics of these complex equations borne in the minds of brilliant scientists add a unique all-encompassing perspective to shapes and objects also found in Nature. I structured the project into part 1 – the art inspired by the shape- and part 2 - the plain visualization of the equations that stand in their own right as a beautiful expression of a mathematical mind at work. I included the informal log I kept throughout the journey in both parts. In part 2, I added the mathematical background that helped me understand the particular shape I was working on. Both sides complement each other in helping us appreciate these unrivaled original expressions of our environment.
Prime Number Geometry
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Author : Jean Constant
language : en
Publisher: Hermay NM
Release Date : 2024-08-01
Prime Number Geometry written by Jean Constant and has been published by Hermay NM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-01 with Art categories.
The 52 Illustration Prime Number series is a new chapter in the ongoing Math-Art collection exploring the world of mathematics and art. Inspired by the research of mathematicians from yesterday and today, this project aims to explore the visual aspect of numbers and highlight the unexpected connections between the challenging world of calculus, geometry, and art. Some will find references to ethnomathematics or a reflection on the universal cross-cultural appeal of mathematics; others will find a relation with the world we’re mapping for tomorrow, and hopefully, all will enjoy this unexpected interpretation of numbers from an artistic standpoint.
Polyverse
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Author : Jean Constant
language : en
Publisher: Hermay NM
Release Date : 2023-03-25
Polyverse written by Jean Constant and has been published by Hermay NM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-25 with Art categories.
A 52-illustration, notes, and references book exploring the geometry of H. Coxeter surfaces. Coxeter was instrumental in many discoveries in the field of geometry and computer sciences. He opened the door to the 4th dimension to all studying higher spaces. Exploring these groups has some practical applications in mineralogy, architecture, linear programming, and other areas; mostly, people enjoy contemplating the figures because of their symmetrical shapes and aesthetic appeal. For artists, it is a limitless trove of inspiration. This illustrated book results from some of the most striking Coxeter examples of geometry in higher dimensions.
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Author : Dennis G. Zill
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 2009-12-21
written by Dennis G. Zill and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-21 with categories.
Now with a full-color design, the new Fourth Edition of Zill's Advanced Engineering Mathematics provides an in-depth overview of the many mathematical topics necessary for students planning a career in engineering or the sciences. A key strength of this text is Zill's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Fourth Edition is comprehensive, yet flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. Numerous new projects contributed by esteemed mathematicians have been added. New modern applications and engaging projects makes Zill's classic text a must-have text and resource for Engineering Math students!
Minimal Surfaces From A Complex Analytic Viewpoint
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Author : Antonio Alarcón
language : en
Publisher: Springer Nature
Release Date : 2021-03-10
Minimal Surfaces From A Complex Analytic Viewpoint written by Antonio Alarcón and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-10 with Mathematics categories.
This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed in recent decades as part of the theory of Oka manifolds (the h-principle in complex analysis). It places particular emphasis on the study of the global theory of minimal surfaces with a given complex structure. Advanced methods of holomorphic approximation, interpolation, and homotopy classification of manifold-valued maps, along with elements of convex integration theory, are implemented for the first time in the theory of minimal surfaces. The text also presents newly developed methods for constructing minimal surfaces in minimally convex domains of Rn, based on the Riemann–Hilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These methods also provide major advances in the classical Calabi–Yau problem, yielding in particular minimal surfaces with the conformal structure of any given bordered Riemann surface. Offering new directions in the field and several challenging open problems, the primary audience of the book are researchers (including postdocs and PhD students) in differential geometry and complex analysis. Although not primarily intended as a textbook, two introductory chapters surveying background material and the classical theory of minimal surfaces also make it suitable for preparing Masters or PhD level courses.
Current Topics In Pure And Computational Complex Analysis
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Author : Santosh Joshi
language : en
Publisher: Springer
Release Date : 2014-12-02
Current Topics In Pure And Computational Complex Analysis written by Santosh Joshi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-02 with Mathematics categories.
The book contains 13 articles, some of which are survey articles and others research papers. Written by eminent mathematicians, these articles were presented at the International Workshop on Complex Analysis and Its Applications held at Walchand College of Engineering, Sangli. All the contributing authors are actively engaged in research fields related to the topic of the book. The workshop offered a comprehensive exposition of the recent developments in geometric functions theory, planar harmonic mappings, entire and meromorphic functions and their applications, both theoretical and computational. The recent developments in complex analysis and its applications play a crucial role in research in many disciplines.
Tension Structures
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Author : Wanda J. Lewis
language : en
Publisher: Thomas Telford
Release Date : 2003
Tension Structures written by Wanda J. Lewis and has been published by Thomas Telford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Technology & Engineering categories.
The tension structures discussed in this book are predominantly roofing forms created from pre-stressed cable nets, cable trusses, and continuous membranes (fabric structures). A unique feature in their design is "form-finding" - an interactive process of defining the shape of a structure under tension. The book discusses the role of stable minimal surfaces (minimum energy forms occurring in natural objects, such as soap films) in finding optimal shapes of membrane and cable structures. The discussion of form-finding is extended to structural forms whose shape is supposedly known, such as suspension bridge cables.
Fifth International Congress Of Chinese Mathematicians
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Author : Lizhen Ji
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Fifth International Congress Of Chinese Mathematicians written by Lizhen Ji and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This two-part volume represents the proceedings of the Fifth International Congress of Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.
Minimal Surfaces
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Author : Jean Constant
language : en
Publisher: Hermay NM
Release Date : 2022-08-09
Minimal Surfaces written by Jean Constant and has been published by Hermay NM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-09 with Mathematics categories.
A 52 illustration two-part book on the exploration of minimal surfaces. Part 1 explores the surface from an artistic perspective, and part 2 visually reproduces the equations that stand in their own right as a beautiful expression of pure geometry. Each book includes notes from an informal work-in-progress diary and references directing the reader to the images’ original mathematical source. Both sides complement each other in helping us appreciate better these unrivaled expressions of our environment found in nature, from butterflies to black holes, and studied in statistics, material sciences, and architecture.
Geometric Analysis Around Scalar Curvatures
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Author : Fei Han
language : en
Publisher: World Scientific
Release Date : 2016-04-18
Geometric Analysis Around Scalar Curvatures written by Fei Han and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-18 with Mathematics categories.
This volume contains three expanded lecture notes from the program Scalar Curvature in Manifold Topology and Conformal Geometry that was held at the Institute for Mathematical Sciences from 1 November to 31 December 2014. The first chapter surveys the recent developments on the fourth-order equations with negative exponent from geometric points of view such as positive mass theorem and uniqueness results. The next chapter deals with the recent important progress on several conjectures such as the existence of non-flat smooth hyper-surfaces and Serrin's over-determined problem. And the final chapter induces a new technique to handle the equation with critical index and the sign change coefficient as well as the negative index term. These topics will be of interest to those studying conformal geometry and geometric partial differential equations.