یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
Smooth manifolds -- The tangent space -- Regular values -- Vector bundles -- Constructions on vector bundles -- Integrability -- Local phenomena that go global.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
"Preface In his inaugural lecture in 1854, Riemann introduced the concept of an "n fach ausgedehnten Grösse" - roughly something that has "n degrees of freedom" and which we now would call an n-dimensional manifold. Examples of manifolds are all around us and arise in many applications, but formulating the ideas in a satisfying way proved to be a challenge inspiring the creation of beautiful mathematics. As a matter of fact, much of the mathematical language of the 20th century was created with manifolds in mind. Modern texts often leave the readers with the feeling that they are getting the answer before they know there is a problem. Taking the historical approach to this didactic problem has several disadvantages. The pioneers were brilliant mathematicians, but still they struggled for decades getting the concepts right. We must accept that we are standing on the shoulders of giants. The only remedy I see is to give carefully chosen examples to guide the mind to ponder over the questions that you would actually end up wondering about even after spending a disproportionate amount of time; and in this way hopefully appreciating and internalizing the solutions when they are offered. These examples should be concrete. On the other end of the scale, also proofs should be considered as examples: they are examples of successful reasoning"--
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9781108596992
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Differential topology.
موضوع مستند نشده
Differential topology.
موضوع مستند نشده
Differentialtopologie
موضوع مستند نشده
Topologie différentielle.
رده بندی ديویی
شماره
514/
.
72
ويراست
23
رده بندی کنگره
شماره رده
QA613
.
6
نشانه اثر
.
D86
2018
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )