Visual Differential Geometry and Forms

افزودن به بوکمارک اشتراک گذاری 0 دیدگاه کاربران 5 (1)

A Mathematical Drama in Five Acts

مشارکت: عنوان و توضیح کوتاه هر کتاب را ترجمه کنید این ترجمه بعد از تایید با نام شما در سایت نمایش داده خواهد شد.

ترجمه این کتاب مشاهده همه کتاب های ترجمه نشده

A Mathematical Drama in Five Acts

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 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.

لغو

گزارش تخلف

مغایرت عنوان کتاب با توضیحات و تصویر جلد
عدم رعایت حقوق نشر طبق قوانین جمهوری اسلامی ایران
محتوای مستهجن
توهین به قومیتها و محتوای نژادپرستی
توهین به اقیلیتهای مذهبی
اهانت به مقامات سیاسی و مذهبی
اشاعه ی کودک آزاری
سایر موارد

بستن

فرمت کتاب

ebook

زبان

english

تاریخ انتشار

2021

نویسنده

Tristan Needham

ناشر

Princeton University Press

شابک

0691203695

20,000 تومان

خرید کتاب مطالعه نمونه درخواست ترجمه کتاب

خرید کتاب Visual Differential Geometry and Forms

Visual Differential Geometry and Forms

گزارش تخلف

فرمت کتاب

ebook

زبان

english

تاریخ انتشار

2021

نویسنده

ناشر

شابک

کتاب های مرتبط

Mirror Symmetry. Vol. 5, Proceedings of the Birs Workshop, Calabi-Yau Varieties and Mirror Symmetry, December 6-11, 2003

A First Course in Computational Algebraic Geometry

Symptom to Diagnosis an Evidence Based Guide, Fourth Edition

Symptom to Diagnosis an Evidence Based Guide, Fourth Edition

Differential Diagnosis of Common Complaints [With Access Code]

Differential Geometry

Differential Geometry Applied to Dynamical Systems [With CDROM]

Trends In Differential Geometry, Complex Analysis And Mathematical Physics

Crack the Core Exam - Case Companion

Essentials Of Anatomic Pathology

Hyperkinetic Movement Disorders

Flow Cytometry in Hematopathology

Otolaryngology Cases

Pediatric Radiology Casebase

Geometry and light : the science of invisibility

Differential Diagnosis in Neuroimaging

Nail In Differential Diagnosis

Handbook of Obstetric Medicine

Complex Analysis

Myalgic Encephalomyelitis / Chronic Fatigue Syndrome

Basic Elements of Differential Geometry and Topology

دیدگاه کاربران