Multiplicative Analytic Geometry

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Multiplicative Analytic Geometry

Author : Svetlin G. Georgiev
Publisher : CRC Press
ISBN 13 : 1000720896
Total Pages : 248 pages
Book Rating : 4.0/5 (7 download)

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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 and published by CRC Press. This book was released on 2022-11-24 with total page 248 pages. 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

Author : Svetlin G. Georgiev
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527589986
Total Pages : 371 pages
Book Rating : 4.5/5 (275 download)

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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 and published by Cambridge Scholars Publishing. This book was released on 2022-10-13 with total page 371 pages. 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

Author : Gerd Fischer
Publisher : Springer
ISBN 13 : 354038121X
Total Pages : 208 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Complex Analytic Geometry by : Gerd Fischer

Download or read book Complex Analytic Geometry written by Gerd Fischer and published by Springer. This book was released on 2006-11-14 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral Theory and Analytic Geometry over Non-Archimedean Fields

Author : Vladimir G. Berkovich
Publisher : American Mathematical Soc.
ISBN 13 : 0821890204
Total Pages : 181 pages
Book Rating : 4.8/5 (218 download)

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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 and published by American Mathematical Soc.. This book was released on 2012-08-02 with total page 181 pages. 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

Author : Svetlin Georgiev
Publisher :
ISBN 13 : 9781527589971
Total Pages : 0 pages
Book Rating : 4.5/5 (899 download)

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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 and published by . This book was released on 2023 with total page 0 pages. 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.

Recent Topics in Differential and Analytic Geometry

Author : T. Ochiai
Publisher : Academic Press
ISBN 13 : 1483214680
Total Pages : 462 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Recent Topics in Differential and Analytic Geometry by : T. Ochiai

Download or read book Recent Topics in Differential and Analytic Geometry written by T. Ochiai and published by Academic Press. This book was released on 2014-07-14 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Studies in Pure Mathematics, Volume 18-I: Recent Topics in Differential and Analytic Geometry presents the developments in the field of analytical and differential geometry. This book provides some generalities about bounded symmetric domains. Organized into two parts encompassing 12 chapters, this volume begins with an overview of harmonic mappings and holomorphic foliations. This text then discusses the global structures of a compact Kähler manifold that is locally decomposable as an isometric product of Ricci-positive, Ricci-negative, and Ricci-flat parts. Other chapters consider the most recognized non-standard examples of compact homogeneous Einstein manifolds constructed via Riemannian submersions. This book discusses as well the natural compactification of the moduli space of polarized Einstein–Kähler orbitfold with a given Hilbert polynomials. The final chapter deals with solving a degenerate Monge–Ampère equation by constructing a family of Einstein–Kähler metrics on the smooth part of minimal varieties of general kind. This book is a valuable resource for graduate students and pure mathematicians.

Analytic Geometry and Principles of Algebra

Author : Alexander Ziwet
Publisher :
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.:/5 (2 download)

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Book Synopsis Analytic Geometry and Principles of Algebra by : Alexander Ziwet

Download or read book Analytic Geometry and Principles of Algebra written by Alexander Ziwet and published by . This book was released on 1913 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Higher Geometry

Author : Frederick S. Woods
Publisher : Courier Corporation
ISBN 13 : 0486159566
Total Pages : 442 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Higher Geometry by : Frederick S. Woods

Download or read book Higher Geometry written by Frederick S. Woods and published by Courier Corporation. This book was released on 2013-10-29 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: For students of mathematics with a sound background in analytic geometry and some knowledge of determinants, this volume has long been among the best available expositions of advanced work on projective and algebraic geometry. Developed from Professor Woods' lectures at the Massachusetts Institute of Technology, it bridges the gap between intermediate studies in the field and highly specialized works. With exceptional thoroughness, it presents the most important general concepts and methods of advanced algebraic geometry (as distinguished from differential geometry). It offers a thorough study of one-, two-, three-, and four-dimensional coordinated systems, the concepts they entail, and their associated geometrical elements. This study culminates with a discussion of n-dimensional geometry in an abstract sense, of which the earlier subjects form concrete illustrations. As each system of coordinates is introduced, the meaning of the linear and quadratic equations is studied, with principal emphasis on the interpretation of equations as well as on a knowledge of useful geometrical facts. The principle of duality is kept at the forefront, and the nature of imaginary elements and the conventional character of the locus of infinity, dependent upon the type of coordinates used, are carefully explained.

Non-archimedean Analysis

Author : Siegfried Bosch
Publisher : Springer
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Non-archimedean Analysis by : Siegfried Bosch

Download or read book Non-archimedean Analysis written by Siegfried Bosch and published by Springer. This book was released on 1984 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiplicative Differential Geometry

Author : Svetlin G. Georgiev
Publisher : CRC Press
ISBN 13 : 1000606945
Total Pages : 373 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Multiplicative Differential Geometry by : Svetlin G. Georgiev

Download or read book Multiplicative Differential Geometry written by Svetlin G. Georgiev and published by CRC Press. This book was released on 2022-07-20 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces multiplicative Frenet curves. We define multiplicative tangent, multiplicative normal, and multiplicative normal plane for a multiplicative Frenet curve. We investigate the local behaviours of a multiplicative parameterized curve around multiplicative biregular points, define multiplicative Bertrand curves and investigate some of their properties. A multiplicative rigid motion is introduced. The book is addressed to instructors and graduate students, and also specialists in geometry, mathematical physics, differential equations, engineering, and specialists in applied sciences. The book is suitable as a textbook for graduate and under-graduate level courses in geometry and analysis. Many examples and problems are included. The author introduces the main conceptions for multiplicative surfaces: multiplicative first fundamental form, the main multiplicative rules for differentiations on multiplicative surfaces, and the main multiplicative regularity conditions for multiplicative surfaces. An investigation of the main classes of multiplicative surfaces and second fundamental forms for multiplicative surfaces is also employed. Multiplicative differential forms and their properties, multiplicative manifolds, multiplicative Einstein manifolds and their properties, are investigated as well. Many unique applications in mathematical physics, classical geometry, economic theory, and theory of time scale calculus are offered.

A Second Introduction to Analytic Geometry

Author : Gerhard Paul Hochschild
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis A Second Introduction to Analytic Geometry by : Gerhard Paul Hochschild

Download or read book A Second Introduction to Analytic Geometry written by Gerhard Paul Hochschild and published by . This book was released on 1968 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric and Analytic Number Theory

Author : Edmund Hlawka
Publisher : Springer Science & Business Media
ISBN 13 : 364275306X
Total Pages : 247 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Geometric and Analytic Number Theory by : Edmund Hlawka

Download or read book Geometric and Analytic Number Theory written by Edmund Hlawka and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the English edition, the chapter on the Geometry of Numbers has been enlarged to include the important findings of H. Lenstraj furthermore, tried and tested examples and exercises have been included. The translator, Prof. Charles Thomas, has solved the difficult problem of the German text into English in an admirable way. He deserves transferring our 'Unreserved praise and special thailks. Finally, we would like to express our gratitude to Springer-Verlag, for their commitment to the publication of this English edition, and for the special care taken in its production. Vienna, March 1991 E. Hlawka J. SchoiBengeier R. Taschner Preface to the German Edition We have set ourselves two aims with the present book on number theory. On the one hand for a reader who has studied elementary number theory, and who has knowledge of analytic geometry, differential and integral calculus, together with the elements of complex variable theory, we wish to introduce basic results from the areas of the geometry of numbers, diophantine ap proximation, prime number theory, and the asymptotic calculation of number theoretic functions. However on the other hand for the student who has al ready studied analytic number theory, we also present results and principles of proof, which until now have barely if at all appeared in text books.

Multiplicative Differential Calculus

Author : Svetlin Georgiev
Publisher : CRC Press
ISBN 13 : 1000605426
Total Pages : 217 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Multiplicative Differential Calculus by : Svetlin Georgiev

Download or read book Multiplicative Differential Calculus written by Svetlin Georgiev and published by CRC Press. This book was released on 2022-07-04 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the multiplicative differential calculus. Its seven pedagogically organized chapters summarize the most recent contributions in this area, concluding with a section of practical problems to be assigned or for self-study. 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 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. It is also called an alternative or non-Newtonian calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics, finance, biology, and engineering. Multiplicative Differential Calculus is written to be of interest to a wide audience of specialists such as mathematicians, physicists, engineers, and biologists. It is primarily a textbook at the senior undergraduate and beginning graduate level and may be used for a course on differential calculus. It is also for students studying engineering and science. Authors Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. He is also the author of Dynamic Geometry of Time Scales (CRC Press). He is a co-author of Conformable Dynamic Equations on Time Scales, with Douglas R. Anderson (CRC Press). Khaled Zennir earned his PhD in mathematics from Sidi Bel Abbès University, Algeria. He earned his highest diploma in Habilitation in Mathematics from Constantine University, Algeria. He is currently Assistant Professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior. The authors have also published: Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDE; Boundary Value Problems on Time Scales, Volume 1 and Volume II, all with CRC Press.

Analytic Geometry and the Calculus

Author : Frederick Howell Miller
Publisher : Taylor & Francis
ISBN 13 :
Total Pages : 814 pages
Book Rating : 4./5 ( download)

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Book Synopsis Analytic Geometry and the Calculus by : Frederick Howell Miller

Download or read book Analytic Geometry and the Calculus written by Frederick Howell Miller and published by Taylor & Francis. This book was released on 1958 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus with Analytic Geometry

Author : Richard H. Crowell
Publisher : W W Norton & Company Incorporated
ISBN 13 : 9780393097825
Total Pages : 727 pages
Book Rating : 4.0/5 (978 download)

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Book Synopsis Calculus with Analytic Geometry by : Richard H. Crowell

Download or read book Calculus with Analytic Geometry written by Richard H. Crowell and published by W W Norton & Company Incorporated. This book was released on 1968 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces and develops the differential and integral calculus of functions of one variable.

An Introduction to Analytic Geometry and Calculus

Author : Albert Clark Burdette
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis An Introduction to Analytic Geometry and Calculus by : Albert Clark Burdette

Download or read book An Introduction to Analytic Geometry and Calculus written by Albert Clark Burdette and published by . This book was released on 1973 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonabelian Multiplicative Integration On Surfaces

Author : Amnon Yekutieli
Publisher : World Scientific
ISBN 13 : 9814663867
Total Pages : 186 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Nonabelian Multiplicative Integration On Surfaces by : Amnon Yekutieli

Download or read book Nonabelian Multiplicative Integration On Surfaces written by Amnon Yekutieli and published by World Scientific. This book was released on 2015-07-16 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonabelian multiplicative integration on curves is a classical theory. This volume is about the 2-dimensional case, which is much more difficult. In our construction, the setup is a Lie crossed module: there is a Lie group H, together with an action on it by another Lie group G. The multiplicative integral is an element of H, and it is the limit of Riemann products. Each Riemann product involves a fractal decomposition of the surface into kites (triangles with strings connecting them to the base point). There is a twisting of the integrand, that comes from a 1-dimensional multiplicative integral along the strings, with values in the group G.The main result of this work is the 3-dimensional nonabelian Stokes theorem. This result is new; only a special case of it was predicted (without proof) in papers in mathematical physics. Our constructions and proofs are of a straightforward nature. There are plenty of illustrations to clarify the geometric constructions.Our volume touches on some of the central issues (e.g., descent for nonabelian gerbes) in an unusually down-to-earth manner, involving analysis, differential geometry, combinatorics and Lie theory — instead of the 2-categories and 2-functors that other authors prefer.