From Riemann Hypothesis To Cps Geometry And
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From Riemann Hypothesis To Cps Geometry And
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Author : Nick Trif
language : en
Publisher: Nick Trif
Release Date :
From Riemann Hypothesis To Cps Geometry And written by Nick Trif and has been published by Nick Trif this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
“From Riemann Hypothesis to CPS Geometry and Back” (Volume 1) offers a new and very intriguing approach to Geometry. Staring from a simple assumption that the geometrical points are infinitesimal spheres crowded together in a close packing of spheres arrangement, filling-up the space, this book investigates the patterns and structure of the space generated by these points. The properties and structure of this space is described by the CPS Geometry. Volume 1 of this geometrical investigation (using points distributed in space according to the close packing of spheres arrangement) makes this geometry very similar with arithmetic. The connection between the world of natural numbers and the CPS Geometry makes this approach richer and a lot more interesting to study than one would expect. Enjoy!
From Kepler Tiling To Penrose Tiling To Cps Geometry
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Author : Nick Trif
language : en
Publisher: Nick Trif
Release Date :
From Kepler Tiling To Penrose Tiling To Cps Geometry written by Nick Trif and has been published by Nick Trif this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
This book is a collection of my handwritten notes I took in the fall of 2021. They are presented the way they were created back then. I believe there is some values in publishing the raw notes, in the format they were taken, before the ideas contained in them were fully developed and have crystallized. To get the most of these notes an understanding of Penrose Tiling and the basic assumptions of the Close Packing of Spheres (CPS) Geometry, is a must. A lot has been written about Penrose Tiling over the years. Regarding the Geometry of Closed Packed Spheres, I highly recommend my book introducing the subject “From Riemann Hypothesis to CPS Geometry and Back: Volume 1” - please see https://www.amazon.com/dp/B08JG1DLCV Also, a lot more on this topic can be found here: http://platonicstructures.com/ Enjoy.
A Heuristic Approach To Explain The Ratio Between The Mass Of The Proton And The Mass Of The Electron
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Author : Nick Trif
language : en
Publisher: Nick Trif
Release Date :
A Heuristic Approach To Explain The Ratio Between The Mass Of The Proton And The Mass Of The Electron written by Nick Trif and has been published by Nick Trif this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
Starting from the ration between the mass of the proton and the mass of the electron, this short booklet comes up with an explanation and a structure for the proton. Fractals, Gosper curve and Close Packing of Singularities (CPS) Geometry are an important part for the explanation provided by this booklet. Nice images make the understanding easy and fun. Enjoy! Beauty makes beautiful things beautiful.
Geometry Of Cauchy Riemann Submanifolds
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Author : Sorin Dragomir
language : en
Publisher: Springer
Release Date : 2016-05-31
Geometry Of Cauchy Riemann Submanifolds written by Sorin Dragomir and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-31 with Mathematics categories.
This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds. Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.
Nuclear Science Abstracts
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Author :
language : en
Publisher:
Release Date : 1969
Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Nuclear energy categories.
Journal Of The Optical Society Of America
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Author :
language : en
Publisher:
Release Date :
Journal Of The Optical Society Of America written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Optical instruments categories.
In Search Of The Riemann Zeros
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Author : Michel Laurent Lapidus
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
In Search Of The Riemann Zeros written by Michel Laurent Lapidus 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 2008 with Mathematics categories.
Formulated in 1859, the Riemann Hypothesis is the most celebrated and multifaceted open problem in mathematics. In essence, it states that the primes are distributed as harmoniously as possible--or, equivalently, that the Riemann zeros are located on a single vertical line, called the critical line.
The Riemann Hypothesis In Characteristic P In Historical Perspective
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Author : Peter Roquette
language : en
Publisher: Springer
Release Date : 2018-09-28
The Riemann Hypothesis In Characteristic P In Historical Perspective written by Peter Roquette and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-28 with Mathematics categories.
This book tells the story of the Riemann hypothesis for function fields (or curves) starting with Artin's 1921 thesis, covering Hasse's work in the 1930s on elliptic fields and more, and concluding with Weil's final proof in 1948. The main sources are letters which were exchanged among the protagonists during that time, found in various archives, mostly the University Library in Göttingen. The aim is to show how the ideas formed, and how the proper notions and proofs were found, providing a particularly well-documented illustration of how mathematics develops in general. The book is written for mathematicians, but it does not require any special knowledge of particular mathematical fields.
On The Hypotheses Which Lie At The Bases Of Geometry
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Author : Bernhard Riemann
language : en
Publisher: Birkhäuser
Release Date : 2016-04-19
On The Hypotheses Which Lie At The Bases Of Geometry written by Bernhard Riemann and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.
The Riemann Hypothesis
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Author : Peter B. Borwein
language : en
Publisher: Springer Science & Business Media
Release Date : 2008
The Riemann Hypothesis written by Peter B. Borwein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
The Riemann Hypothesis has become the Holy Grail of mathematics in the century and a half since 1859 when Bernhard Riemann, one of the extraordinary mathematical talents of the 19th century, originally posed the problem. While the problem is notoriously difficult, and complicated even to state carefully, it can be loosely formulated as "the number of integers with an even number of prime factors is the same as the number of integers with an odd number of prime factors." The Hypothesis makes a very precise connection between two seemingly unrelated mathematical objects, namely prime numbers and the zeros of analytic functions. If solved, it would give us profound insight into number theory and, in particular, the nature of prime numbers. This book is an introduction to the theory surrounding the Riemann Hypothesis. Part I serves as a compendium of known results and as a primer for the material presented in the 20 original papers contained in Part II. The original papers place the material into historical context and illustrate the motivations for research on and around the Riemann Hypothesis. Several of these papers focus on computation of the zeta function, while others give proofs of the Prime Number Theorem, since the Prime Number Theorem is so closely connected to the Riemann Hypothesis. The text is suitable for a graduate course or seminar or simply as a reference for anyone interested in this extraordinary conjecture.