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  • Analysis (2) (Hindustan Book Agency)

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Terence Tao
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Analysis (2) (Hindustan Book Agency) 4th Edition

by Terence Tao (Author)
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This is part two of a two-volume introduction to real analysis and is intended for honours undergraduates who have already been exposed to calculus. The emphasis is on rigour and on foundations. The material starts at the very beginning--the construction of the number systems and set theory--then goes on to the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. There are also appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of twenty-five to thirty lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory. The fourth edition incorporates a large number of additional corrections reported since the release of the third edition, as well as some additional new exercises.
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  1. ISBN-10
    8195196128
  2. ISBN-13
    978-8195196128
  3. Edition
    4th
  4. Publisher
    Hindustan Book Agency
  5. Publication date
    January 1, 2022
  6. Language
    English
  7. Dimensions
    9.76 x 0.79 x 6.46 inches
  8. Print length
    242 pages
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Product details

  • Publisher ‏ : ‎ Hindustan Book Agency
  • Publication date ‏ : ‎ January 1, 2022
  • Edition ‏ : ‎ 4th
  • Language ‏ : ‎ English
  • Print length ‏ : ‎ 242 pages
  • ISBN-10 ‏ : ‎ 8195196128
  • ISBN-13 ‏ : ‎ 978-8195196128
  • Item Weight ‏ : ‎ 1.18 pounds
  • Reading age ‏ : ‎ 15 years and up
  • Dimensions ‏ : ‎ 9.76 x 0.79 x 6.46 inches
  • Best Sellers Rank: #78,793 in Books (See Top 100 in Books)
  • Customer Reviews:

About the author

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Terence Tao

Terence Tao

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Customer reviews

4.7 out of 5 stars
90 global ratings
Damaged book: it has been wet.
1 out of 5 stars
Damaged book: it has been wet.
The book was clearly damaged by water. All the pages are bent. Moreover, it stinks. It is not worth returning it because of the shipping costs, so I have to keep it. Maybe I'll just throw it into the garbage bin.
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Top review from the United States

  • GADV
    1.0 out of 5 stars Damaged book: it has been wet.
    Reviewed in the United States on April 29, 2024
    Format: HardcoverVerified Purchase
    The book was clearly damaged by water. All the pages are bent. Moreover, it stinks.
    It is not worth returning it because of the shipping costs, so I have to keep it. Maybe I'll just throw it into the garbage bin.
    Customer image
    GADV
    1.0 out of 5 stars
    Damaged book: it has been wet.

    Reviewed in the United States on April 29, 2024
    The book was clearly damaged by water. All the pages are bent. Moreover, it stinks.
    It is not worth returning it because of the shipping costs, so I have to keep it. Maybe I'll just throw it into the garbage bin.
    Images in this review
    Customer image Customer image Customer image
    One person found this helpful
    Helpful
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Top reviews from other countries

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  • Amazon Customer
    5.0 out of 5 stars Leiam
    Reviewed in Brazil on August 2, 2025
    Format: HardcoverVerified Purchase
    Texto muito bem feito. O assunto, análuse é árido, mas é abordado de forma muito agradável e eficiente.
    Vale muito!
    Report
  • Pippex
    5.0 out of 5 stars EXCELENTE LIBRO
    Reviewed in Mexico on November 20, 2024
    Format: HardcoverVerified Purchase
    Excelente libro de Terence Tao. Llegó en perfectas condiciones, la pasta dura es espectacular, la impresión es buena. El contenido del libro es simplemente sorprendente, muy didáctico, lo utilizo para estudiar análisis por mi cuenta. Tiene una cantidad innumerable de ejercicios retadores que mejoraran tu comprendimiento del tema, además de abarcar una gran cantidad de áreas del análisis matemático
    Report
  • Temjensangba
    5.0 out of 5 stars 5 Star for the physical condition of the book. 3 Star for the content.
    Reviewed in India on July 6, 2024
    Format: HardcoverVerified Purchase
    The book came in good condition. The pages are of top-quality paper and the hard cover is tough and durable.

    As for the content, I do not recommend it for self-study, reference and/or teaching purposes. Concepts are made rather confusing than simplifying. Notations are untidy. There are better alternatives for studying the topics in Chapter 1 to 6. However, Chapter 7: Lebesgue Measure and Chapter 8: Lebesgue Integration has been done very well. The concept of outer measure, Lebesgue Measure, measurable sets, measurable functions and Lebesgue Integration have been introduced and discussed in a clean, clear and beginner-friendly manner.
    Report
  • Pragnes
    5.0 out of 5 stars Analysis
    Reviewed in the United Kingdom on March 2, 2026
    Format: HardcoverVerified Purchase
    Very good
    Report
  • Francesco
    5.0 out of 5 stars Ottimo libro
    Reviewed in Italy on September 11, 2024
    Format: HardcoverVerified Purchase
    Non sostituisce un libro di analisi classico ma è un'ottima integrazione per chi vuole approfondire e capire meglio
    Report
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