Measure and Integration

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

A First Course

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 First Course

This concise text is intended as an introductory course in measure and integration. It covers essentials of the subject, providing ample motivation for new concepts and theorems in the form of discussion and remarks, and with many worked-out examples.

The novelty of Measure and Integration: A First Course is in its style of exposition of the standard material in a student-friendly manner. New concepts are introduced progressively from less abstract to more abstract so that the subject is felt on solid footing. The book starts with a review of Riemann integration as a motivation for the necessity of introducing the concepts of measure and integration in a general setting. Then the text slowly evolves from the concept of an outer measure of subsets of the set of real line to the concept of Lebesgue measurable sets and Lebesgue measure, and then to the concept of a measure, measurable function, and integration in a more general setting. Again, integration is first introduced with non-negative functions, and then progressively with real and complex-valued functions. A chapter on Fourier transform is introduced only to make the reader realize the importance of the subject to another area of analysis that is essential for the study of advanced courses on partial differential equations.

Key Features

Numerous examples are worked out in detail.

Lebesgue measurability is introduced only after convincing the reader of its necessity.

Integrals of a non-negative measurable function is defined after motivating its existence as limits of integrals of simple measurable functions.

Several inquisitive questions and important conclusions are displayed prominently.

A good number of problems with liberal hints is provided at the end of each chapter.

The book is so designed that it can be used as a text for a one-semester course during the first year of a master's program in mathematics or at the senior undergraduate level.

About the Author

M. Thamban Nair is a professor of mathematics at the Indian Institute of Technology Madras, Chennai, India. He was a post-doctoral fellow at the University of Grenoble, France through a French government scholarship, and also held visiting positions at Australian National University, Canberra, University of Kaiserslautern, Germany, University of St-Etienne, France, and Sun Yat-sen University, Guangzhou, China.

The broad area of Prof. Nair's research is in functional analysis and operator equations, more specifically, in the operator theoretic aspects of inverse and ill-posed problems. Prof. Nair has published more than 70 research papers in nationally and internationally reputed journals in the areas of spectral approximations, operator equations, and inverse and ill-posed problems. He is also the author of three books: Functional Analysis: A First Course (PHI-Learning, New Delhi), Linear Operator Equations: Approximation and Regularization (World Scientific, Singapore), and Calculus of One Variable (Ane Books Pvt. Ltd, New Delhi), and he is also co-author of Linear Algebra (Springer, New York).

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

2019

نویسنده

M Thamban Nair

ناشر

CRC Press

شابک

9780367348397

20,000 تومان

خرید کتاب مطالعه نمونه درخواست ترجمه کتاب

خرید کتاب Measure and Integration

Measure and Integration

گزارش تخلف

فرمت کتاب

ebook

زبان

english

تاریخ انتشار

2019

نویسنده

ناشر

شابک

کتاب های مرتبط

Measure, integral, derivative : a course on Lebesgue's theory

Measure and Integration

Autour du centenaire Lebesgue

Measure, Integral, Derivative

A Modern Theory of Integration (Graduate Studies in Mathematics)

Integral Formulas in Riemannian Geometry

A Garden of Integrals

Théorie De La Mesure Et De L'intégration

Counterexamples on Uniform Convergence

Fred Kassak 1

Integraltafel

Eléments de mathématique, Intégration. Chapitre 5

Integration

Wavelets And Singular Integrals On Curves And Surfaces

The Theory and Applications of Harmonic Integrals

Eléments de mathématique, Intégration. Chapitre 5

Approximate Calculation of Integrals

The Theory and Applications of Harmonic Integrals

Cálculo

Integral transforms and their applications

Calculo. Trascendentes Tempranas (Combo) 4ª ed

دیدگاه کاربران