Contributions to the Founding of the Theory of Transfinite Numbers

افزودن به بوکمارک اشتراک گذاری 0 دیدگاه کاربران 4 (1)

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

از خودتان درباره کتاب توضیح کوتاهی بنویسید

One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply and clearly: the reader with a good grasp of college mathematics will be able to understand most of the basic ideas and many of the proofs.
Cantor first develops the elementary definitions and operations of cardinal and ordinal numbers and analyzes the concepts of "canlinality" and "ordinality." He covers such topics as the addition, multiplication, and exponentiation of cardinal numbers, the smallest transfinite cardinal number, the ordinal types of simply ordered aggregates, operations on ordinal types, the ordinal type of the linear continuum, and others. He then develops a theory of well-ordered aggregates, and investigates the ordinal numbers of well-ordered aggregates and the properties and extent of the transfinite ordinal numbers.
An 82-page introduction by the eminent mathematical historian Philip E. B. Jourdain first sketches the background of Cantor's theory, discussing the contributions of such predecessors as Veicrstrass, Cauchy, Dedekind, Dirichlet, Riemann, Fourier, and Hankel; it then traces the development of the theory by summarizing and analyzing Cantor's earlier work. A bibliographical note provides information on further investigations in the theory of transfinite numbers by Frege, Peano, Whitehead, Russell, etc.
"Would serve as well as any modern textto initiate a student in this exciting branch of mathematics." — Mathematical Gazette.

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

1955

نویسنده

Georg Cantor

ناشر

Dover Publications

شابک

9780486600451

20,000 تومان

خرید کتاب مطالعه نمونه درخواست ترجمه کتاب

خرید کتاب Contributions to the Founding of the Theory of Transfinite Numbers

Contributions to the Founding of the Theory of Transfinite Numbers

گزارش تخلف

فرمت کتاب

ebook

زبان

english

تاریخ انتشار

1955

نویسنده

ناشر

شابک

کتاب های مرتبط

Leonard Woolf

Diana

Ingles Para Dummies [With CDROM]

La Bella Figura

Existentialism and Human Emotions

I Am Zlatan

The Insidious Dr. Fu Manchu

Arthur and the Anglo-Saxon Wars

Mafia State

Capital 2

Capital

Capital 1

Open Veins of Latin America

Beyond Good and Evil

Englanders and Huns

Longbourn

The Bass Saxophone

Secret Agent

Gratitude

Beachcomber

The Singing Sands

دیدگاه کاربران