標(biāo)題: Titlebook: An Invitation to Mathematics; From Competitions to Dierk Schleicher,Malte Lackmann Book 2011 Springer-Verlag Berlin Heidelberg 2011 Invitat [打印本頁] 作者: 能干 時間: 2025-3-21 16:25
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書目名稱An Invitation to Mathematics讀者反饋
書目名稱An Invitation to Mathematics讀者反饋學(xué)科排名
作者: negotiable 時間: 2025-3-21 23:41
http://image.papertrans.cn/a/image/155642.jpg作者: Cuisine 時間: 2025-3-22 00:23
https://doi.org/10.1007/978-3-642-19533-4Invitation to Mathematics; high school, competitions, and research作者: Adulate 時間: 2025-3-22 05:15
978-3-642-19532-7Springer-Verlag Berlin Heidelberg 2011作者: 支形吊燈 時間: 2025-3-22 11:49
https://doi.org/10.1007/978-3-540-85996-3re we describe a way of calculating the number of essentially different quadratic forms of any discriminant, the class number; this is a concept of great importance, which for example figured in early attempts to prove Fermat’s Last Theorem.作者: Herbivorous 時間: 2025-3-22 14:37
Gradual Development of a Dynamic Modelre often given. What accounts for this? What is the role of graph theory in mathematics today? I will try to answer these questions by describing some of the many connections between graph theory and other areas of mathematics as I encountered them.作者: patriarch 時間: 2025-3-22 18:42 作者: 放大 時間: 2025-3-23 01:02 作者: stroke 時間: 2025-3-23 01:51
https://doi.org/10.1007/978-3-540-85996-3es. For instance, while primes do obey some obvious patterns (e.g. they are almost all odd), and have a very regular asymptotic distribution (the prime number theorem), we still do not know a deterministic formula to quickly generate large numbers guaranteed to be prime, or to count even very simple作者: 智力高 時間: 2025-3-23 05:31 作者: Charlatan 時間: 2025-3-23 13:30
https://doi.org/10.1007/978-1-4613-0211-7ay ., is rational, then the planets are in resonance, and the mutual interaction will make the dynamics unstable. If the period ratio . is irrational, it can be approximated arbitrarily well by rational numbers, and the stability depends on how good this approximation is in terms of the sizes of num作者: 本能 時間: 2025-3-23 15:37
https://doi.org/10.1007/978-1-4613-0211-7ween their two activities. This is partly because most research problems involve university-level mathematical concepts that are excluded from IMO problems. However, there are more fundamental differences that are not to do with subject matter. To demonstrate this, we look at some results and questi作者: incontinence 時間: 2025-3-23 20:59 作者: Airtight 時間: 2025-3-23 22:42 作者: 精致 時間: 2025-3-24 06:18 作者: 縮短 時間: 2025-3-24 06:30 作者: 形上升才刺激 時間: 2025-3-24 11:26
https://doi.org/10.1007/978-3-662-25989-4ul. We then discuss the dynamics of the Newton method for finding roots of smooth functions, which is most useful. And finally, we show that they are closely related, and that work on the useful aspects requires deep knowledge of the ‘useless’ theory. This is an appeal against disintegrating mathema作者: MUMP 時間: 2025-3-24 16:44
https://doi.org/10.1007/978-3-540-85996-3We introduce Diophantine equations and show evidence that it can be hard to solve them. Then we demonstrate how one can solve a specific equation related to numbers occurring several times in Pascal’s Triangle with state-of-the-art methods.作者: 飛來飛去真休 時間: 2025-3-24 22:30
Gradual Development of a Dynamic ModelThis contribution introduces you to the Euler equations of ideal fluids and the Navier–Stokes equations which govern fully developed turbulent flows. We describe some of the unresolved mathematical issues, including the “Navier–Stokes millennium problem”, and the role numerical simulations play in developing this field.作者: 高歌 時間: 2025-3-25 00:34
Gradual Development of a Dynamic ModelThe Hardy inequality has a long history and many variants. Together with the Sobolev inequalities, it is one of the most frequently used inequalities in analysis. In this note, we present some aspects of its history, as well as some of its extensions and applications. This is a very active research direction.作者: FLORA 時間: 2025-3-25 05:14 作者: dearth 時間: 2025-3-25 10:52 作者: 加花粗鄙人 時間: 2025-3-25 15:19 作者: 主動脈 時間: 2025-3-25 17:30
About the Hardy Inequality,The Hardy inequality has a long history and many variants. Together with the Sobolev inequalities, it is one of the most frequently used inequalities in analysis. In this note, we present some aspects of its history, as well as some of its extensions and applications. This is a very active research direction.作者: Indurate 時間: 2025-3-25 21:14 作者: adjacent 時間: 2025-3-26 02:34
From Sex to Quadratic Forms,re we describe a way of calculating the number of essentially different quadratic forms of any discriminant, the class number; this is a concept of great importance, which for example figured in early attempts to prove Fermat’s Last Theorem.作者: Amorous 時間: 2025-3-26 06:47 作者: vitreous-humor 時間: 2025-3-26 10:59
Ten Digit Problems,d degree of precision like ten digits or ten thousand. In this article three difficult problems of this kind are presented, and the story is told of the SIAM 100-Dollar, 100-Digit Challenge. The twists and turns along the way illustrate some of the flavor of algorithmic continuous mathematics.作者: palette 時間: 2025-3-26 16:05
Three Mathematics Competitions,ey compete in many different ways, in very different races, and in diverse arenas. In this little contribution, I want to tell you about three different types of mathematics competitions that are different from the IMO.作者: AWL 時間: 2025-3-26 17:50
How do Research Problems Compare with IMO Problems?,Are the problems one encounters at IMOs and the problems one encounters as a research mathematician alike? We will make use of a few examples to show their similarities as well as their differences. The problems chosen come from different areas, but are all related to arrangements of numbers or colors on graphs, and to games one can play with them.作者: Injunction 時間: 2025-3-27 00:34 作者: 忘川河 時間: 2025-3-27 03:15
Structure and Randomness in the Prime Numbers,es. For instance, while primes do obey some obvious patterns (e.g. they are almost all odd), and have a very regular asymptotic distribution (the prime number theorem), we still do not know a deterministic formula to quickly generate large numbers guaranteed to be prime, or to count even very simple作者: Encephalitis 時間: 2025-3-27 09:20 作者: maverick 時間: 2025-3-27 09:50 作者: Altitude 時間: 2025-3-27 13:40
How do IMO Problems Compare with Research Problems?,ween their two activities. This is partly because most research problems involve university-level mathematical concepts that are excluded from IMO problems. However, there are more fundamental differences that are not to do with subject matter. To demonstrate this, we look at some results and questi作者: 遺忘 時間: 2025-3-27 18:17
Graph Theory Over 45 Years,re often given. What accounts for this? What is the role of graph theory in mathematics today? I will try to answer these questions by describing some of the many connections between graph theory and other areas of mathematics as I encountered them.作者: AVERT 時間: 2025-3-28 01:11 作者: 光明正大 時間: 2025-3-28 06:03
Ten Digit Problems,d degree of precision like ten digits or ten thousand. In this article three difficult problems of this kind are presented, and the story is told of the SIAM 100-Dollar, 100-Digit Challenge. The twists and turns along the way illustrate some of the flavor of algorithmic continuous mathematics.作者: 名字的誤用 時間: 2025-3-28 06:15
Three Mathematics Competitions,ey compete in many different ways, in very different races, and in diverse arenas. In this little contribution, I want to tell you about three different types of mathematics competitions that are different from the IMO.作者: Limited 時間: 2025-3-28 11:05 作者: GRAIN 時間: 2025-3-28 17:16
Book 2011of their own work or specialization. Together with a team of young ``test readers‘‘, editors and authors have taken great care, through a substantial ``active editing‘‘ process, to make the contributions understandable by the intended readership.作者: 遺產(chǎn) 時間: 2025-3-28 18:51 作者: 死亡率 時間: 2025-3-29 00:20 作者: synovitis 時間: 2025-3-29 05:24
Structure and Randomness in the Prime Numbers, patterns in the primes, such as twin primes .,.+2. Nevertheless, it is still possible in some cases to understand enough of the structure and randomness of the primes to obtain some quite nontrivial results.作者: FER 時間: 2025-3-29 10:04
Small Divisors: Number Theory in Dynamical Systems,erators and denominators. We discuss this in a mathematical model case that can be analyzed completely, the setting of iteration of quadratic polynomials .?...+.., and show how this leads to questions of Diophantine approximation within number theory. Finally, we briefly mention the situation of more than two planets.作者: Awning 時間: 2025-3-29 11:47
Book 2011ects of current mathematical research. The contributions are as varied as the personalities of active mathematicians, but together they show mathematics as a rich and lively field of research. The contributions are written for interested students at the age of transition between high school and univ作者: Conflict 時間: 2025-3-29 18:16 作者: 發(fā)出眩目光芒 時間: 2025-3-29 23:47 作者: monologue 時間: 2025-3-30 01:26
https://doi.org/10.1007/978-3-662-25989-4closely related, and that work on the useful aspects requires deep knowledge of the ‘useless’ theory. This is an appeal against disintegrating mathematics (or science at large) into ‘useful’ and ‘useless’ parts.作者: minaret 時間: 2025-3-30 07:31 作者: incubus 時間: 2025-3-30 08:22 作者: Macronutrients 時間: 2025-3-30 12:38
https://doi.org/10.1007/978-1-4613-0211-7ls in which our current state of knowledge is less than satisfactory. All our definitions, statements and proofs are completely elementary, and yet we will state several open problems that have evaded strong researchers for decades.作者: exceed 時間: 2025-3-30 20:36
Communication Complexity,ls in which our current state of knowledge is less than satisfactory. All our definitions, statements and proofs are completely elementary, and yet we will state several open problems that have evaded strong researchers for decades.作者: NOVA 時間: 2025-3-30 21:09
Die Umwertung der Musik,sammenhang zu besprechen, wollten wir dem folgenden Kapitel vorbehalten. Da es wünschenswert ist, für die Gesamtheit dieser Vorg?nge eine kurze und einheitliche Bezeichnung zu besitzen, so wollen wir von einer Umwertung der Musik sprechen.作者: fixed-joint 時間: 2025-3-31 02:57
On special balanced supgroups of torsionfree separable abelian groups,it von Zwang, Unterdrückung und Entfremdung — Freiheit von etwas: in dieser Bestimmung ging der Freiheitsbegriff als negatorische und formale Kategorie in die Tradition” émanzipatorischer Erziehungswissenschaft ein. Freiheit hatte aber auch immer die “positive” Bedeutung der freien Entfaltung und de作者: 拾落穗 時間: 2025-3-31 09:00 作者: 獸皮 時間: 2025-3-31 12:25
