Mathematical Combinatorics My Philosophy Promoted On Science Internationally

Author : Linfan Mao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4./5 ( download)

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Download or read book Mathematical Combinatorics: My Philosophy Promoted on Science Internationally written by Linfan Mao and published by Infinite Study. This book was released on 2024-01-01 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical science is the human recognition on the evolution laws of things that we can understand with the principle of logical consistency by mathematics, i.e., mathematical reality. So, is the mathematical reality equal to the reality of thing? The answer is not because there always exists contradiction between things in the eyes of human, which is only a local or conditional conclusion. Such a situation enables us to extend the mathematics further by combinatorics for the reality of thing from the local reality and then, to get a combinatorial reality of thing. This is the combinatorial conjecture for mathematical science, i.e., CC conjecture that I put forward in my postdoctoral report for Chinese Acade- my of Sciences in 2005, namely any mathematical science can be reconstructed from or made by combinatorialization. After discovering its relation with Smarandache multi-spaces, it is then be applied to generalize mathematics over 1-dimensional topological graphs, namely the mathematical combinatorics that I promoted on science internationally for more than 20 years. This paper surveys how I proposed this conjecture from combinatorial topology, how to use it for characterizing the non-uniform groups or contradictory systems and furthermore, why I introduce the continuity ow GL as a mathematical element, i.e., vectors in Banach space over topological graphs with operations and then, how to apply it to generalize a few of important conclusions in functional analysis for providing the human recognition on the reality of things, including the subdivision of substance into elementary particles or quarks in theoretical physics with a mathematical supporting.

Author : Ernesto Damiani
Publisher : Springer Science & Business Media
ISBN 13 : 0387887539
Total Pages : 267 pages
Book Rating : 4.31/5 ( download)

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Download or read book From Combinatorics to Philosophy written by Ernesto Damiani and published by Springer Science & Business Media. This book was released on 2009-07-24 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Combinatorics to Philosophy: The Legacy of G. -C. Rota provides an assessment of G. -C. Rota's legacy to current international research issues in mathematics, philosophy and computer science. This volume includes chapters by leading researchers, as well as a number of invited research papers. Rota’s legacy connects European and Italian research communities to the USA by providing inspiration to several generations of researchers in combinatorics, philosophy and computer science. From Combinatorics to Philosophy: The Legacy of G. -C. Rota is of valuable interest to research institutions and university libraries worldwide. This book is also designed for advanced-level students in mathematics, computer science, and philosophy.

Author : Ernesto Damiani
Publisher : Springer
ISBN 13 : 9780387888927
Total Pages : 262 pages
Book Rating : 4.26/5 ( download)

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Download or read book From Combinatorics to Philosophy written by Ernesto Damiani and published by Springer. This book was released on 2010-11-03 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Combinatorics to Philosophy: The Legacy of G. -C. Rota provides an assessment of G. -C. Rota's legacy to current international research issues in mathematics, philosophy and computer science. This volume includes chapters by leading researchers, as well as a number of invited research papers. Rota’s legacy connects European and Italian research communities to the USA by providing inspiration to several generations of researchers in combinatorics, philosophy and computer science. From Combinatorics to Philosophy: The Legacy of G. -C. Rota is of valuable interest to research institutions and university libraries worldwide. This book is also designed for advanced-level students in mathematics, computer science, and philosophy.

Author : Hermann Weyl
Publisher :
ISBN 13 :
Total Pages : 311 pages
Book Rating : 4.00/5 ( download)

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Download or read book Philosophy of Mathematics and Natural Science written by Hermann Weyl and published by . This book was released on 1949 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Hermann Weyl
Publisher :
ISBN 13 :
Total Pages : 311 pages
Book Rating : 4.87/5 ( download)

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Download or read book Philosophy of mathematics and natural science written by Hermann Weyl and published by . This book was released on 1959 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Linfan MAO
Publisher : Infinite Study
ISBN 13 :
Total Pages : 135 pages
Book Rating : 4./5 ( download)

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Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES) written by Linfan MAO and published by Infinite Study. This book was released on with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe, motivated by CC Conjecture of Dr.Linfan MAO on mathematical sciences. TheMathematical Combinatorics (International Book Series) is a fully refereed international book series with an ISBN number on each issue, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandachemulti-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

Author : Aaron Sloman
Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.32/5 ( download)

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Download or read book The Computer Revolution in Philosophy written by Aaron Sloman and published by . This book was released on 1978 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ken Ono
Publisher : Springer
ISBN 13 : 3319255681
Total Pages : 238 pages
Book Rating : 4.82/5 ( download)

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Download or read book My Search for Ramanujan written by Ken Ono and published by Springer. This book was released on 2016-04-20 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little praise. Rebelling against his pressure-cooker of a life, Ken determined to drop out of high school to follow his own path. To obtain his father’s approval, he invoked the biography of the famous Indian mathematical prodigy Srinivasa Ramanujan, whom his father revered, who had twice flunked out of college because of his single-minded devotion to mathematics. Ono describes his rocky path through college and graduate school, interweaving Ramanujan’s story with his own and telling how at key moments, he was inspired by Ramanujan and guided by mentors who encouraged him to pursue his interest in exploring Ramanujan’s mathematical legacy. Picking up where others left off, beginning with the great English mathematician G.H. Hardy, who brought Ramanujan to Cambridge in 1914, Ono has devoted his mathematical career to understanding how in his short life, Ramanujan was able to discover so many deep mathematical truths, which Ramanujan believed had been sent to him as visions from a Hindu goddess. And it was Ramanujan who was ultimately the source of reconciliation between Ono and his parents. Ono’s search for Ramanujan ranges over three continents and crosses paths with mathematicians whose lives span the globe and the entire twentieth century and beyond. Along the way, Ken made many fascinating discoveries. The most important and surprising one of all was his own humanity."

Author : Alexander P. Karp
Publisher : World Scientific
ISBN 13 : 9814277061
Total Pages : 398 pages
Book Rating : 4.68/5 ( download)

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Download or read book Russian Mathematics Education written by Alexander P. Karp and published by World Scientific. This book was released on 2010 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This anthology, consisting of two volumes, is intended to equip background researchers, practitioners and students of international mathematics education with intimate knowledge of mathematics education in Russia. Volume I, entitled The History and Relevance of Russian Mathematics Education, consists of several chapters written by distinguished authorities like Jeremy Kilpatrick and Bruce Vogeli. It examines the history of mathematics education in Russia and its relevance to mathematics education throughout the world. The second volume, entitled Programs and Practices will examine specific Russian programs in mathematics, their impact and methodological innovations. Although Russian mathematics education is highly respected for its achievements and was once very influential internationally, it has never been explored in depth. This publication does just that.

Author : Koji Shiga
Publisher : American Mathematical Society
ISBN 13 : 9780821832844
Total Pages : 148 pages
Book Rating : 4.40/5 ( download)

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Download or read book A Mathematical Gift, III written by Koji Shiga and published by American Mathematical Society. This book was released on 2005-07-18 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form).The second chapter discusses the notion of the area of a figure on the plane and the volume of a solid body in space. It includes the proof of the Bolyai-Gerwien theorem about scissors-congruent polynomials and Dehn's solution of the Third Hilbert Problem. This is the third volume originating from a series of lectures given at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and for undergraduate mathematics courses in the sciences and liberal arts. The first and second volumes are available as Volume 19 and Volume 20 in the AMS series, ""Mathematical World"".