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Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts, Needham Tristan


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Автор: Needham Tristan   (Тристан Нидхам)
Название:  Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts
Перевод названия: Тристан Нидхам: Визуальная дифференциальная геометрия и формы. Математическая драма в пяти действиях
ISBN: 9780691203690
Издательство: Wiley
Классификация:


ISBN-10: 0691203695
Обложка/Формат: Hardcover
Страницы: 584
Вес: 1.11 кг.
Дата издания: 22.06.2021
Язык: English
Иллюстрации: 239 b/w illus.
Размер: 267 x 193 x 48
Читательская аудитория: General (us: trade)
Подзаголовок: A mathematical drama in five acts
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Англии
Описание:

An inviting, intuitive, and visual exploration of differential geometry and forms

Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newtons geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner.

Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gausss famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einsteins field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwells equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartans method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book.

Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.




Micro-enterprise and personalisation: What size is good care?

Автор: Catherine Needham, Kerry Allen, Kelly Hall
Название: Micro-enterprise and personalisation: What size is good care?
ISBN: 1447319222 ISBN-13(EAN): 9781447319221
Издательство: Marston Book Services
Цена: 15838.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: What size is `just right` for a care provider? This book explores size as an independent variable in care services, comparing outcomes and value for money across micro, small, medium and large organisations.

Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts

Автор: Needham Tristan
Название: Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts
ISBN: 0691203709 ISBN-13(EAN): 9780691203706
Издательство: Wiley
Рейтинг:
Цена: 6653.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: An inviting, intuitive, and visual exploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton's geometrical methods to provide geometrical explanations of the classical results.

In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss's famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein's field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell's equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan's method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms.

Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.

Candle Exercises: Macro-Dimension Laboratory Series

Автор: Claude Needham
Название: Candle Exercises: Macro-Dimension Laboratory Series
ISBN: 0895561824 ISBN-13(EAN): 9780895561824
Издательство: Gazelle Book Services
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Цена: 4708.00 р.
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Описание: Candles can be used in meditation, attention training, learning concentration, developing discernment, in refining our natural gifts, in our work on self, and they can even serve as direct portals into other dimensions. This book contains a series of candle exercises with diverse uses in all those categories. Many of these exercises have never before been discussed outside of workshops and/or private training sessions. And some of these exercises were previously available only to a handful of adepts and not offered in public.

Graph Algorithms: Practical Examples in Apache Spark and Neo4j

Автор: Needham Mark, Hodler Amy E.
Название: Graph Algorithms: Practical Examples in Apache Spark and Neo4j
ISBN: 1492047686 ISBN-13(EAN): 9781492047681
Издательство: Wiley
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Цена: 10136.00 р.
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Описание: With this practical guide, developers and data scientists will discover how graph analytics deliver value, whether they`re used for building dynamic network models or forecasting real-world behavior.


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