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  2. Principles of Mathematical Analysis - Wikipedia

    en.wikipedia.org/wiki/Principles_of_Mathematical...

    He completed the manuscript in the spring of 1952, and it was published the year after. Rudin noted that in writing his textbook, his purpose was "to present a beautiful area of mathematics in a well-organized readable way, concisely, efficiently, with complete and correct proofs. It was an aesthetic pleasure to work on it." [2]

  3. List of important publications in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_important...

    The first book on the systematic algebraic solutions of linear and quadratic equations by the Persian scholar Muhammad ibn Mūsā al-Khwārizmī. The book is considered to be the foundation of modern algebra and Islamic mathematics. [10] The word "algebra" itself is derived from the al-Jabr in the title of the book. [11]

  4. Graduate Texts in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Graduate_Texts_in_Mathematics

    Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag.The books in this series, like the other Springer-Verlag mathematics series, are yellow books of a standard size (with variable numbers of pages).

  5. The Princeton Companion to Mathematics - Wikipedia

    en.wikipedia.org/wiki/The_Princeton_Companion_to...

    The book concentrates primarily on modern pure mathematics rather than applied mathematics, although it does also cover both applications of mathematics and the mathematics that relates to those applications; it provides a broad overview of the significant ideas and developments in research mathematics. [2] [4] [7] It is organized into eight ...

  6. Category:Mathematics textbooks - Wikipedia

    en.wikipedia.org/wiki/Category:Mathematics_textbooks

    This category has the following 2 subcategories, out of 2 total. G. ... Pages in category "Mathematics textbooks" The following 83 pages are in this category, out of ...

  7. Undergraduate Texts in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Undergraduate_Texts_in...

    The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size. The books in this series tend to be written at a more elementary level than the similar Graduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and ...

  8. Principia Mathematica - Wikipedia

    en.wikipedia.org/wiki/Principia_Mathematica

    The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by the mathematician–philosophers Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913.

  9. Differential form - Wikipedia

    en.wikipedia.org/wiki/Differential_form

    The form is pulled back to the submanifold, where the integral is defined using charts as before. For example, given a path γ(t) : [0, 1] → R 2, integrating a 1-form on the path is simply pulling back the form to a form f(t) dt on [0, 1], and this integral is the integral of the function f(t) on the interval.