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  2. A Course of Pure Mathematics - Wikipedia

    en.wikipedia.org/wiki/A_Course_of_Pure_Mathematics

    A Course of Pure Mathematics is a classic textbook in introductory mathematical analysis, written by G. H. Hardy. It is recommended for people studying calculus. First published in 1908, it went through ten editions (up to 1952) and several reprints. It is now out of copyright in UK and is downloadable from various internet web sites.

  3. Pure mathematics - Wikipedia

    en.wikipedia.org/wiki/Pure_mathematics

    Pure mathematics studies the properties and structure of abstract objects, [1] such as the E8 group, in group theory. This may be done without focusing on concrete applications of the concepts in the physical world. Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may ...

  4. Category:Mathematics textbooks - Wikipedia

    en.wikipedia.org/wiki/Category:Mathematics_textbooks

    Addison-Wesley Secondary Math: An Integrated Approach: Focus on Algebra; Al-Jabr; Algebra and Tiling; Algebraic Geometry (book) Algorismus (Norse text) Algorithmic Geometry; Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes; Analysis Situs (book) Arithmetic (book) The Art of Mathematics

  5. Surreal number - Wikipedia

    en.wikipedia.org/wiki/Surreal_number

    Conway's construction was introduced in Donald Knuth's 1974 book Surreal Numbers: How Two Ex-Students Turned On to Pure Mathematics and Found Total Happiness. The surreals share many properties with the reals, including the usual arithmetic operations (addition, subtraction, multiplication, and division); as such, they form an ordered field .

  6. Mathematical proof - Wikipedia

    en.wikipedia.org/wiki/Mathematical_proof

    P. Oxy. 29, one of the oldest surviving fragments of Euclid's Elements, a textbook used for millennia to teach proof-writing techniques. The diagram accompanies Book II, Proposition 5. [1] A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion.

  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. Synopsis of Pure Mathematics - Wikipedia

    en.wikipedia.org/wiki/Synopsis_of_Pure_Mathematics

    Synopsis of Pure Mathematics [1] is a book by G. S. Carr, written in 1886. [2] The book attempted to summarize the state of most of the basic mathematics known at the time. The book is noteworthy because it was a major source of information for the legendary and self-taught mathematician Srinivasa Ramanujan who managed to obtain a library ...

  9. G. H. Hardy - Wikipedia

    en.wikipedia.org/wiki/G._H._Hardy

    Hardy regards as "pure" the kinds of mathematics that are independent of the physical world, but also considers some "applied" mathematicians, such as the physicists Maxwell and Einstein, to be among the "real" mathematicians, whose work "has permanent aesthetic value" and "is eternal because the best of it may, like the best literature ...