数学
Leonhardi Euleri Opera Omnia 豆瓣
作者:
Euler, Leonhard; Herzberger, Max;
黎曼的学术遗产:150年巡礼 豆瓣
作者:
季理真
/
Frans Oort
…
出版社:
高等教育出版社
2015
黎曼(1826-1866)对数学有着独特的创造力和广博的洞察力,同时对数学的处理富有强有力的技巧和远见的思想。在他短暂的一生中,黎曼对数学几乎所有的分支都有着广泛的影响。
时至150年后的今日,我们仍然要尝试理解在数学后续发展中的黎曼的工作以及他的数学思想。
《黎曼的学术遗产:150年巡礼(英文版)》邀请了一批具有前沿思想的专家撰写了相关的综述和展望性质的文章,希望这些专题也会是黎曼所感兴趣的。
在《黎曼的学术遗产:150年巡礼(英文版)》中,讨论了若干历史细节,并且着重介绍了黎曼所开创的数学领域的现代发展。
《黎曼的学术遗产:150年巡礼(英文版)》对于希望了解黎曼深邃的数学思想及其对现代数学影响的读者具有重要的参考价值。
时至150年后的今日,我们仍然要尝试理解在数学后续发展中的黎曼的工作以及他的数学思想。
《黎曼的学术遗产:150年巡礼(英文版)》邀请了一批具有前沿思想的专家撰写了相关的综述和展望性质的文章,希望这些专题也会是黎曼所感兴趣的。
在《黎曼的学术遗产:150年巡礼(英文版)》中,讨论了若干历史细节,并且着重介绍了黎曼所开创的数学领域的现代发展。
《黎曼的学术遗产:150年巡礼(英文版)》对于希望了解黎曼深邃的数学思想及其对现代数学影响的读者具有重要的参考价值。
The Road to Reality 豆瓣
作者:
Roger Penrose
出版社:
Knopf
2005
- 2
From one of our greatest living scientists, a magnificent book that provides, for the serious lay reader, the most comprehensive and sophisticated account we have yet had of the physical universe and the essentials of its underlying mathematical theory.
Since the earliest efforts of the ancient Greeks to find order amid the chaos around us, there has been continual accelerated progress toward understanding the laws that govern our universe. And the particularly important advances made by means of the revolutionary theories of relativity and quantum mechanics have deeply altered our vision of the cosmos and provided us with models of unprecedented accuracy.
What Roger Penrose so brilliantly accomplishes in this book is threefold. First, he gives us an overall narrative description of our present understanding of the universe and its physical behaviors–from the unseeable, minuscule movement of the subatomic particle to the journeys of the planets and the stars in the vastness of time and space.
Second, he evokes the extraordinary beauty that lies in the mysterious and profound relationships between these physical behaviors and the subtle mathematical ideas that explain and interpret them.
Third, Penrose comes to the arresting conclusion–as he explores the compatibility of the two grand classic theories of modern physics–that Einstein’s general theory of relativity stands firm while quantum theory, as presently constituted, still needs refashioning.
Along the way, he talks about a wealth of issues, controversies, and phenomena; about the roles of various kinds of numbers in physics, ideas of calculus and modern geometry, visions of infinity, the big bang, black holes, the profound challenge of the second law of thermodynamics, string and M theory, loop quantum gravity, twistors, and educated guesses about science in the near future. In The Road to Reality he has given us a work of enormous scope, intention, and achievement–a complete and essential work of science
从古希腊人探寻我们身边的秩序与混沌的最早期的努力开始,人们对支配着我们生活的宇宙的法则的理解也在不断加速。而通过相对论与量子力学这样的革命性理论而取得的重要进展,已经深刻地改变了我们观察宇宙的视野。在这本书中,作者Roger Penrose首先对我们目前对宇宙的理解给出一个全面的概述,从我们看不到的亚原子粒子的微小运动到漫天星斗的运行。在物质的世界与用以解释和描述它们的微妙的数理概念之间存在一种关系,揭示这一关系中所呈现的美是作者接下来要做的事。在此基础上,作者又进而对现有的理论加以思考。依着这一思路,他在此书讨论了大量的问题、争论以及现象,不仅是前面提到的相对论,还包括正诱惑着科学家们智慧的膜理论等。作者彭罗斯早已为中国读者所熟悉,他曾于1988年与霍金共同分享当年授予物理学家的沃尔夫奖。他的作品《皇帝新脑》、《时空本性》(与霍金合著)此前曾在我国翻译出版。来自《星期天泰晤士报》的评论说,彭罗斯的书揭示了纠结在自然与人类想像力之间的美与精妙之处。
Since the earliest efforts of the ancient Greeks to find order amid the chaos around us, there has been continual accelerated progress toward understanding the laws that govern our universe. And the particularly important advances made by means of the revolutionary theories of relativity and quantum mechanics have deeply altered our vision of the cosmos and provided us with models of unprecedented accuracy.
What Roger Penrose so brilliantly accomplishes in this book is threefold. First, he gives us an overall narrative description of our present understanding of the universe and its physical behaviors–from the unseeable, minuscule movement of the subatomic particle to the journeys of the planets and the stars in the vastness of time and space.
Second, he evokes the extraordinary beauty that lies in the mysterious and profound relationships between these physical behaviors and the subtle mathematical ideas that explain and interpret them.
Third, Penrose comes to the arresting conclusion–as he explores the compatibility of the two grand classic theories of modern physics–that Einstein’s general theory of relativity stands firm while quantum theory, as presently constituted, still needs refashioning.
Along the way, he talks about a wealth of issues, controversies, and phenomena; about the roles of various kinds of numbers in physics, ideas of calculus and modern geometry, visions of infinity, the big bang, black holes, the profound challenge of the second law of thermodynamics, string and M theory, loop quantum gravity, twistors, and educated guesses about science in the near future. In The Road to Reality he has given us a work of enormous scope, intention, and achievement–a complete and essential work of science
从古希腊人探寻我们身边的秩序与混沌的最早期的努力开始,人们对支配着我们生活的宇宙的法则的理解也在不断加速。而通过相对论与量子力学这样的革命性理论而取得的重要进展,已经深刻地改变了我们观察宇宙的视野。在这本书中,作者Roger Penrose首先对我们目前对宇宙的理解给出一个全面的概述,从我们看不到的亚原子粒子的微小运动到漫天星斗的运行。在物质的世界与用以解释和描述它们的微妙的数理概念之间存在一种关系,揭示这一关系中所呈现的美是作者接下来要做的事。在此基础上,作者又进而对现有的理论加以思考。依着这一思路,他在此书讨论了大量的问题、争论以及现象,不仅是前面提到的相对论,还包括正诱惑着科学家们智慧的膜理论等。作者彭罗斯早已为中国读者所熟悉,他曾于1988年与霍金共同分享当年授予物理学家的沃尔夫奖。他的作品《皇帝新脑》、《时空本性》(与霍金合著)此前曾在我国翻译出版。来自《星期天泰晤士报》的评论说,彭罗斯的书揭示了纠结在自然与人类想像力之间的美与精妙之处。
Mathematical Methods in the Physical Sciences 豆瓣
作者:
Mary L. Boas
出版社:
John Wiley & Sons
2005
- 8
Now in its third edition, Mathematical Concepts in the Physical Sciences provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference.
索伯列夫空间 豆瓣
作者:
亚当斯
出版社:
世界图书出版公司
2009
- 8
《索伯列夫空间(第2版)》内容简介:This monograph presents an introductory study of of the properties of certain Ba-nach spaces of weakly differentiable functions of several real variables that arise inconnection with numerous problems in the theory of partial differential equations,approximation theory, and many other areas of pure and applied mathematics.These spaces have become associated with the name of the late Russian mathe-matician S. L. Sobolev, although their origins predate his major contributions totheir development in the late 1930s.
David Hilbert's Lectures on the Foundations of Physics, 1915-1927 豆瓣
作者:
Not Available (NA)
出版社:
Springer Verlag
Elements de Geometrie Algebrique I 豆瓣 谷歌图书
作者:
Alexander Grothendieck
/
Jean Dieudonné
出版社:
Institut des Hautes Études Scientifiques
1971
Philosophy of Mathematics 豆瓣
Includes several classic essays from the first edition, a representative selection of the most influential work of the past twenty years, a substantial introduction, and an extended bibliography. Originally published by Prentice-Hall in 1964.
丈量世界 豆瓣
Die Vermessung der Welt
7.6 (25 个评分)
作者:
[德] 丹尼尔‧凯曼
译者:
文泽尔
出版社:
南海出版公司
2015
- 10
★好奇心比雄心走得更远
★2006年欧洲第一畅销书,超越《哈利• 波特》和《达• 芬奇密码》
★德国20年来最畅销的小说 连续37周《明镜周刊》图书榜冠军
★德国中学指定读物
我们毕生追求的事业到最后都会衰退、会消亡。只有一样是真的,那就是追求知识的乐趣,它值得我们为它献身。像《丈量世界》里的洪堡和高斯。——梁文道《开卷八分钟》
我们今天的教育方式,是努力把关于这个世界已知的知识,恨不得一股脑填进孩子的脑袋。如果仅仅以这个为教育目的,人在只是记忆和计算速度上连一部手机都比不上。人最大的价值是对未知世界的探索。
读这本书,就是参与一个用事实和虚构精心设计的游戏,结局并不重要,乐趣在每一处关卡,每一次缠斗。
——罗辑思维 罗振宇
------------------------------------------------------------------------------------------
洪堡,哥伦布之后最伟大的博物学家、地理学家。
高斯,牛顿以来最伟大的数学天才。
这两位同处一个时代的德国科学家,以截然相反的方式进行各自的研究,最后却走向奇迹般一致的远大目标:丈量世界!
★2006年欧洲第一畅销书,超越《哈利• 波特》和《达• 芬奇密码》
★德国20年来最畅销的小说 连续37周《明镜周刊》图书榜冠军
★德国中学指定读物
我们毕生追求的事业到最后都会衰退、会消亡。只有一样是真的,那就是追求知识的乐趣,它值得我们为它献身。像《丈量世界》里的洪堡和高斯。——梁文道《开卷八分钟》
我们今天的教育方式,是努力把关于这个世界已知的知识,恨不得一股脑填进孩子的脑袋。如果仅仅以这个为教育目的,人在只是记忆和计算速度上连一部手机都比不上。人最大的价值是对未知世界的探索。
读这本书,就是参与一个用事实和虚构精心设计的游戏,结局并不重要,乐趣在每一处关卡,每一次缠斗。
——罗辑思维 罗振宇
------------------------------------------------------------------------------------------
洪堡,哥伦布之后最伟大的博物学家、地理学家。
高斯,牛顿以来最伟大的数学天才。
这两位同处一个时代的德国科学家,以截然相反的方式进行各自的研究,最后却走向奇迹般一致的远大目标:丈量世界!
广义函数论 豆瓣
Theorie des Distributions
作者:
(法) 施瓦兹
译者:
姚家燕
出版社:
高等教育出版社
2010
- 3
《广义函数论》是关于广义函数的第一本专著。全书共分九章。书中系统总结、高度概括了作者L.施瓦兹当年得以获得“菲尔兹奖”的主要工作。讨论了广义函数的各种基本性质、运算与变换,特别是阐明了著名的Dirac函数其实是一个测度而不是一个函数。从而为Dirac测度在量子力学以及其他学科中的广泛应用打下了坚实的数学基础。
《广义函数论》包含了当时与广义函数论有关的许多重要的理论和原始思想。在其法文版首次出版后半个多世纪的今天仍有理论价值和参考价值,尤其适合于数学系高年级本科生或研究生研读。
《广义函数论》包含了当时与广义函数论有关的许多重要的理论和原始思想。在其法文版首次出版后半个多世纪的今天仍有理论价值和参考价值,尤其适合于数学系高年级本科生或研究生研读。
解析函数论初步 豆瓣
作者:
H.嘉当
译者:
余家荣
出版社:
高等教育出版社
2008
- 6
【内容简介】
本书是H.嘉当根据他于二十世纪五十年代后期到六十年代初期在巴黎大学理学院所授复变解析函数课程编写的。包含了单复变函数一些经典的理论,也介绍了多复变函数的解析性和全性,是一本非常经典的解析函数论入门教程。该书先讲收敛幂级数,后讲可导函数及积分,精确地引进了解析空间和黎曼面等概念,讲述了多复变解析函数的概念,在使用工具方面,引进了拓扑及抽象代数中的一些概念。书中还包括很多练习。.
原书已被翻译成中、日、英、俄等多国文字,至今仍为法国务大学复变函数课程主要参考书。..
本书可供我国数学专业及相关专业的研究生、教师参考。...
本书是H.嘉当根据他于二十世纪五十年代后期到六十年代初期在巴黎大学理学院所授复变解析函数课程编写的。包含了单复变函数一些经典的理论,也介绍了多复变函数的解析性和全性,是一本非常经典的解析函数论入门教程。该书先讲收敛幂级数,后讲可导函数及积分,精确地引进了解析空间和黎曼面等概念,讲述了多复变解析函数的概念,在使用工具方面,引进了拓扑及抽象代数中的一些概念。书中还包括很多练习。.
原书已被翻译成中、日、英、俄等多国文字,至今仍为法国务大学复变函数课程主要参考书。..
本书可供我国数学专业及相关专业的研究生、教师参考。...
A Course of Pure Mathematics 豆瓣 Goodreads
There can be few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.
Noncommutative Geometry 豆瓣
作者:
Alain Connes
译者:
Berberian, Sterling K.
出版社:
Academic Press
1995
- 1
This English version of the path-breaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes. Profusely illustrated and invitingly written, this book is ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics, quantization, and elementary particles and fields. It includes features such as: first full treatment of the subject and its applications; written by the pioneer of this field; broad applications in mathematics; of interest across most fields; ideal as an introduction and survey; examples treated include: @subbul; the space of Penrose tilings; the space of leaves of a foliation; the space of irreducible unitary representations of a discrete group; the phase space in quantum mechanics; the Brillouin zone in the quantum Hall effect; and a model of space time.
The Hilbert Challenge 豆瓣
作者:
Gray, Jeremy
出版社:
Oxford Univ Pr
2000
- 11
David Hilbert was arguably the leading mathematician of his generation. He was among the few mathematicians who could reshape mathematics, and was able to because he brought together an impressive technical power and mastery of detail with a vision of where the subject was going and how it should get there. This was the unique combination which he brought to the setting of his famous 23 Problems. Few problems in mathematics have the status of those posed by David Hilbert in 1900. Mathematicians have made their reputations by solving individual ones such as Fermat's last theorem, and several remain unsolved including the Riemann hypotheses, which has eluded all the great minds of this century. A hundred years on, it is timely to take a fresh look at the problems, the man who set them, and the reasons for their lasting impact on the mathematics of the twentieth century. In this fascinating new book, Jeremy Gray and David Rowe consider what has made this the pre-eminent collection of problems in mathematics, what they tell us about what drives mathematicians, and the nature of reputation, influence and power in the world of modern mathematics. The book is written in a clear and lively manner and will appeal both to the general reader with an interest in mathematics and to mathematicians themselves.