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Multiplicative Analytic Geometry

2022-11-24 Mathematics
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Release : 2022-11-24
Genre : Mathematics
Kind : eBook
Book Rating : 896/5 ( reviews)

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Book Synopsis Multiplicative Analytic Geometry by : Svetlin G. Georgiev

Download or read book Multiplicative Analytic Geometry written by Svetlin G. Georgiev. This book was released on 2022-11-24. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to multiplicative analytic geometry. The book reflects recent investigations into the topic. The reader can use the main formulae for investigations of multiplicative differential equations, multiplicative integral equations and multiplicative geometry. The authors summarize the most recent contributions in this area. The goal of the authors is to bring the most recent research on the topic to capable senior undergraduate students, beginning graduate students of engineering and science and researchers in a form to advance further study. The book contains eight chapters. The chapters in the book are pedagogically organized. Each chapter concludes with a section with practical problems. Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. In the period from 1967 till 1970, Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, moving the roles of subtraction and addition to division and multiplication, and thus established a new calculus, called multiplicative calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics and finance. Multiplicative Analytic Geometry builds upon multiplicative calculus and advances the theory to the topics of analytic and differential geometry.

Multiplicative Euclidean and Non-Euclidean Geometry

2022-10-13 Mathematics
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Release : 2022-10-13
Genre : Mathematics
Kind : eBook
Book Rating : 986/5 ( reviews)

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Book Synopsis Multiplicative Euclidean and Non-Euclidean Geometry by : Svetlin G. Georgiev

Download or read book Multiplicative Euclidean and Non-Euclidean Geometry written by Svetlin G. Georgiev. This book was released on 2022-10-13. Available in PDF, EPUB and Kindle. Book excerpt: Differential and integral calculus, the most applicable mathematical theory, was created independently by Isaac Newton and Gottfried Wilhelm Leibnitz in the second half of the 17th century. Later, Leonard Euler redirected calculus by giving a central place to the concept of function, and thus founded analysis. Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. From 1967 until 1970, Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, moving the roles of subtraction and addition to division and multiplication, and thus established a new calculus, called multiplicative calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics and finance. This book is devoted to multiplicative Euclidean and non-Euclidean geometry, summarizing the most recent contributions in this area. It will appeal to a wide audience of specialists such as mathematicians, physicists, engineers and biologists, and can be used as a textbook at the graduate level or as a reference book for several disciplines.

Complex Analytic Geometry

2006-11-14 Mathematics
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Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 21X/5 ( reviews)

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Book Synopsis Complex Analytic Geometry by : Gerd Fischer

Download or read book Complex Analytic Geometry written by Gerd Fischer. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral Theory and Analytic Geometry over Non-Archimedean Fields

2012-08-02 Mathematics
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Release : 2012-08-02
Genre : Mathematics
Kind : eBook
Book Rating : 204/5 ( reviews)

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Book Synopsis Spectral Theory and Analytic Geometry over Non-Archimedean Fields by : Vladimir G. Berkovich

Download or read book Spectral Theory and Analytic Geometry over Non-Archimedean Fields written by Vladimir G. Berkovich. This book was released on 2012-08-02. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to introduce a new notion of analytic space over a non-Archimedean field. Despite the total disconnectedness of the ground field, these analytic spaces have the usual topological properties of a complex analytic space, such as local compactness and local arcwise connectedness. This makes it possible to apply the usual notions of homotopy and singular homology. The book includes a homotopic characterization of the analytic spaces associated with certain classes of algebraic varieties and an interpretation of Bruhat-Tits buildings in terms of these analytic spaces. The author also studies the connection with the earlier notion of a rigid analytic space. Geometrical considerations are used to obtain some applications, and the analytic spaces are used to construct the foundations of a non-Archimedean spectral theory of bounded linear operators. This book requires a background at the level of basic graduate courses in algebra and topology, as well as some familiarity with algebraic geometry. It would be of interest to research mathematicians and graduate students working in algebraic geometry, number theory, and -adic analysis.

Multiplicative Euclidean and Non-Euclidean Geometry

2023 Geometry
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Author :
Release : 2023
Genre : Geometry
Kind : eBook
Book Rating : 971/5 ( reviews)

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Book Synopsis Multiplicative Euclidean and Non-Euclidean Geometry by : Svetlin Georgiev

Download or read book Multiplicative Euclidean and Non-Euclidean Geometry written by Svetlin Georgiev. This book was released on 2023. Available in PDF, EPUB and Kindle. Book excerpt: Differential and integral calculus, the most applicable mathematical theory, was created independently by Isaac Newton and Gottfried Wilhelm Leibnitz in the second half of the 17th century. Later, Leonard Euler redirected calculus by giving a central place to the concept of function, and thus founded analysis. Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. From 1967 until 1970, Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, moving the roles of subtraction and addition to division and multiplication, and thus established a new calculus, called multiplicative calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics and finance. This book is devoted to multiplicative Euclidean and non-Euclidean geometry, summarizing the most recent contributions in this area. It will appeal to a wide audience of specialists such as mathematicians, physicists, engineers and biologists, and can be used as a textbook at the graduate level or as a reference book for several disciplines.

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