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E-BooksOld and New Topics in Geometry Volume II Advanced Euclidean and Hyperbolic Geometry



Old and New Topics in Geometry Volume II Advanced Euclidean and Hyperbolic Geometry
Free Download Old and New Topics in Geometry: Volume II: Advanced Euclidean and Hyperbolic Geometry by Franz Rothe
English | September 28, 2022 | ISBN: 9798887031354, 9798887032504, ASIN: B0BRDR3DHY | True EPUB | 504 pages | 47 MB
A decade long experience of teaching the course "Fundamental of Geometry", many notes for exercises, and endless extra reading are the bases for this bulky work.



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E-BooksMetric Algebraic Geometry



Metric Algebraic Geometry
Free Download Metric Algebraic Geometry
English | 2024 | ISBN: 3031514610 | 225 Pages | PDF (True) | 8 MB
After a short dive into 19th-century geometry of plane curves, we turn to problems expressed by polynomial equations over the real numbers. The solution sets are real algebraic varieties. Many of our metric problems arise in data science, optimization and statistics. These include minimizing Wasserstein distances in machine learning, maximum likelihood estimation, computing curvature, or minimizing the Euclidean distance to a variety.



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E-BooksLectures on Euclidean Geometry – Volume 2



Lectures on Euclidean Geometry – Volume 2
Free Download Lectures on Euclidean Geometry - Volume 2: Circle measurement, Transformations, Space Geometry, Conics
English | 2024 | ISBN: 3031489098 | 453 Pages | PDF (True) | 11 MB
The book is based on lecture notes from more than 30 courses which have been taught over the last 25 years. Using a synthetic approach, it discusses topics in Euclidean geometry ranging from the elementary (axioms and their first consequences), to the complex (the famous theorems of Pappus, Ptolemy, Euler, Steiner, Fermat, Morley, etc.). Through its coverage of a wealth of general and specialized subjects, it provides a comprehensive account of the theory, with chapters devoted to basic properties of simple planar and spatial shapes, transformations of the plane and space, and conic sections. As a result of repeated exposure of the material to students, it answers many frequently asked questions. Particular attention has been given to the didactic method; the text is accompanied by a plethora of figures (more than 2000) and exercises (more than 1400), most of them with solutions or expanded hints. Each chapter also includes numerous references to alternative approaches and specialized literature.



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E-BooksLectures on Euclidean Geometry – Volume 1



Lectures on Euclidean Geometry – Volume 1
Free Download Lectures on Euclidean Geometry - Volume 1: Euclidean Geometry of the Plane
English | 2024 | ISBN: 3031489055 | 608 Pages | PDF (True) | 13 MB
The book is based on lecture notes from more than 30 courses which have been taught over the last 25 years. Using a synthetic approach, it discusses topics in Euclidean geometry ranging from the elementary (axioms and their first consequences), to the complex (the famous theorems of Pappus, Ptolemy, Euler, Steiner, Fermat, Morley, etc.). Through its coverage of a wealth of general and specialized subjects, it provides a comprehensive account of the theory, with chapters devoted to basic properties of simple planar and spatial shapes, transformations of the plane and space, and conic sections. As a result of repeated exposure of the material to students, it answers many frequently asked questions. Particular attention has been given to the didactic method; the text is accompanied by a plethora of figures (more than 2000) and exercises (more than 1400), most of them with solutions or expanded hints. Each chapter also includes numerous references to alternative approaches and specialized literature.



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E-BooksGeometry Snacks Bite Size Problems and How to Solve Them



Geometry Snacks Bite Size Problems and How to Solve Them
Free Download Geometry Snacks: Bite Size Problems and How to Solve Them
by Ed Southall and Vincent Pantaloni
English | 2018 | ISBN: 1911093703 | 98 Pages | True PDF | 6.2 MB



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E-BooksGeometry Smooth Manifolds, Pseudo–Riemannian Geometry, Osserman Manifolds



Geometry Smooth Manifolds, Pseudo–Riemannian Geometry, Osserman Manifolds
Free Download Geometry: Smooth Manifolds, Pseudo-Riemannian Geometry, Osserman Manifolds
Vladica Andrejic
English | 2023 | ISBN: n/a | 236 Pages | True PDF | 2.44 MB



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E-BooksDynamical Systems and Differential Geometry via MAPLE



Dynamical Systems and Differential Geometry via MAPLE
Free Download Dynamical Systems and Differential Geometry via MAPLE
English | 2021 | ISBN: 1527572234 | 255 Pages | PDF (True) | 2 MB
The area of dynamical systems and differential geometry via MAPLE is a field which has become exceedingly technical in recent years. In the field, everything is structured for the benefit of optimizing evolutionary geometric aspects that describe significant physical or engineering phenomena. This book is structured in terms of the importance, accessibility and impact of theoretical notions capable of shaping a future mathematician-computer scientist possessing knowledge of evolutionary dynamical systems. It provides a self-contained and accessible introduction for graduate and advanced undergraduate students in mathematics, engineering, physics, and economic sciences. This book is suitable for both self-study for students and professors with a background in differential geometry and for teaching a semester-long introductory graduate course in dynamical systems and differential geometry via MAPLE.



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E-BooksDifferential Geometry For Physicists



Differential Geometry For Physicists
Free Download Differential Geometry For Physicists By Bo-Yu Hou, Bo-Yuan Hou
1997 | 560 Pages | ISBN: 9810231059 | PDF | 35 MB
This book is divided into fourteen chapters, with 18 appendices as introduction to prerequisite topological and algebraic knowledge, etc. The first seven chapters focus on local analysis. This part can be used as a fundamental textbook for graduate students of theoretical physics. Chapters 8-10 discuss geometry on fibre bundles, which facilitates further reference for researchers. The last four chapters deal with the Atiyah-Singer index theorem, its generalization and its application, quantum anomaly, cohomology field theory and noncommutative geometry, giving the reader a glimpse of the frontier of current research in theoretical physics.



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E-BooksBirkhoff–James Orthogonality and Geometry of Operator Spaces



Birkhoff–James Orthogonality and Geometry of Operator Spaces
Free Download Birkhoff-James Orthogonality and Geometry of Operator Spaces
English | 2024 | ISBN: 9819971101 | 265 Pages | PDF EPUB (True) | 32 MB
This book provides an insight into the geometric aspects of the spaces of operators studied by using the notion of Birkhoff-James orthogonality. It studies the norm attainment set of an operator and its properties, the notion of which plays a very important role in the characterization of B-J orthogonality of operators. The structure of the norm attainment set is studied for Hilbert space operators and is yet to be understood completely for operators between Banach spaces. The book explores the interrelation between B-J orthogonality in the ground space and in the space of operators in its fullest generality. The book further explores the concept of approximate B-J orthogonality and investigated its geometry both in the ground space as well as in the space of operators. It highlights important geometric properties like smoothness and k-smoothness of bounded linear operators, extreme contractions and symmetricity of bounded linear operators defined between Hilbert spaces as well as Banach spaces.



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Video TrainingSymbolism Of Islamic Geometry, Arabesque And Architecture



Symbolism Of Islamic Geometry, Arabesque And Architecture
Free Download Symbolism Of Islamic Geometry, Arabesque And Architecture
Published 2/2024
MP4 | Video: h264, 1920x1080 | Audio: AAC, 44.1 KHz
Language: English | Size: 636.31 MB | Duration: 0h 47m
The Silent Theology of Islamic Art



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