Basic Mathematics

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Lang’s Algebra … has gained an iconic status, due both to the comprehensiveness of its coverage and its ability to be authoritative and lively at the same time. For the math graduate who wants to broaden his education this is an excellent account; apart from standard topics it picks out many items from other fields … . You'll be able to determine for yourself what is or isn't duplication for you when and if you study these books. This book is the fourth edition, previously published under the different titles of Introduction to Differentiable Manifolds (1962), Differential Manifolds (1972), and Differential and Riemannian Manifolds (1995).

Basic mathematics : Lang, Serge, 1927-2005 : Free Download

I highly recommend this book for either someone who has not learned any of the material covered yet, but wishes for a great introduction, or to someone who has covered most of this material already (like I had), but recognizes that their understanding of that material is shoddy at best, and would like to learn them with more rigor. Images Donate icon An illustration of a heart shape Donate Ellipses icon An illustration of text ellipses. Note I don't like the star rating and as such I only rate books based upon one star or five stars corresponding to the in my opinion preferable rating of thumbs up/down.

a very readable treatment of many modern mainline topics as well as some interesting out-of-the-way items. Gli argomenti trattati sono molteplici e alla fine del libro si riuscirà ad avere una buona idea dei vari campi della matematica e, soprattutto, si sarà molto fluenti in campi specifici come la geometria, l’algebra, e svariati altri argomenti più avanzati, come funzioni, matrici e serie geometriche. By accepting all cookies, you agree to our use of cookies to deliver and maintain our services and site, improve the quality of Reddit, personalize Reddit content and advertising, and measure the effectiveness of advertising. Web icon An illustration of a computer application window Wayback Machine Texts icon An illustration of an open book. My opinion is that few people would benefit from working through a set theory book before Spivak, but it may be helpful to have a general idea of what the steps are in providing a firm logical foundation for mathematics.

Serge Lang - Wikipedia

I learnt a lot of about proofs and how theorems I take for granted work, including those on determinants, complex numbers, geometry, coordinate systems, etc. In summary, "Basic Mathematics" by Serge Lang is a unique book that teaches mathematics from the perspective of an advanced mathematician. The current third edition has grown again … dealing with topics close to the author’s heart from number theory, function theory and algebraic geometry.But the trigonometry and complex number chapters of Parsonson's Pure Mathematics 1 and 2 (which I mentioned to you previously) ought to be quite enough for this. Lang moved with his family to California as a teenager, where he graduated in 1943 from Beverly Hills High School.