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Course In Analysis, A - Vol. Iii: Measure And Integration Theory, Complex-valued Functions Of A Complex Variable
Language: en
Pages: 784
Authors: Niels Jacob
Categories: Mathematics
Type: BOOK - Published: 2017-06-29 - Publisher: World Scientific Publishing Company

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'It is a great book for a first year (US) graduate student. One of the nice features of the book is that the book contains full solutions for all of the problem
Course In Analysis, A - Vol. Ii: Differentiation And Integration Of Functions Of Several Variables, Vector Calculus
Language: en
Pages: 789
Authors: Niels Jacob
Categories: Mathematics
Type: BOOK - Published: 2016-06-29 - Publisher: World Scientific Publishing Company

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'The authors give many examples, illustrations and exercises to help students digest the theory and they employ use of clear and neat notation throughout. I rea
Course In Analysis, A - Vol V: Functional Analysis, Some Operator Theory, Theory Of Distributions
Language: en
Pages: 854
Authors: Niels Jacob
Categories: Mathematics
Type: BOOK - Published: 2020-01-22 - Publisher: World Scientific

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The book is an advanced textbook and a reference text in functional analysis in the wide sense. It provides advanced undergraduate and graduate students with a
Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable
Language: en
Pages: 769
Authors: Niels Jacob
Categories: Mathematics
Type: BOOK - Published: 2015-08-18 - Publisher: World Scientific Publishing Company

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Part 1 begins with an overview of properties of the real numbers and starts to introduce the notions of set theory. The absolute value and in particular inequal
Course In Analysis, A - Vol. Iv: Fourier Analysis, Ordinary Differential Equations, Calculus Of Variations
Language: en
Pages: 769
Authors: Niels Jacob
Categories: Mathematics
Type: BOOK - Published: 2018-07-19 - Publisher: World Scientific

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In the part on Fourier analysis, we discuss pointwise convergence results, summability methods and, of course, convergence in the quadratic mean of Fourier seri