The Equations

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出版者:Harvard University Press 作者:Sander Bais 出品人: 页数:96 译者: 出版时间:2005-11-15 价格:USD 18.95 装帧:Hardcover isbn号码:9780674019676 丛书系列:
图书标签
  • English
  • 数学
  • 物理
  • 科学
  • 公式
  • 方程
  • 理论
  • 科普
  • 宇宙
  • 自然
  • 思考
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具体描述

The mysteries of the physical world speak to us through equations - compact statements about the way nature works, expressed in nature's language, mathematics. In this book by the renowned Dutch physicist Sander Bais, the equations that govern our world unfold in all their formal grace - and their deeper meaning as core symbols of our civilisation. Trying to explain science without equations is like trying to explain art without illustrations. Consequently Bais has produced a book that, unlike any other aimed at non-scientists, delves into the details - historical, biographical, practical, philosophical and mathematical - of seventeen equations that form the very basis of what we know of the universe today. A mathematical objet d'art in its own right, the book conveys the transcendent excitement and beauty of these icons of knowledge as they reveal and embody the fundamental truths of physical reality. These are the seventeen equations that represent radical turning points in our understanding - from mechanics to electrodynamics, hydrodynamics to relativity, quantum mechanics to string theory - their meanings revealed through the careful and critical observation of patterns and motions in nature. Mercifully short on dry theoretical elaborations, the book presents these equations as they are - with the information about their variables, history and applications that allows us to chart their critical function, and their crucial place, in the complex web of modern science. Reading The Equations, we can hear nature speaking to us in its native language.

这本书《The Equations》是一部深具学术氛围和理论探讨的作品,旨在为读者提供系统且全面的学习体验。书中内容主要围绕数学与相关学科中的基础概念展开,从核心定义到复杂问题的深入分析,力求用清晰的逻辑链条传达知识的脉络。每一章节都经过细致构建,注重从理论出发,逐步引导读者理解关键思想和方法论。 书籍内容涵盖了广泛的主题,包括基本概念与核心定理,以及对复杂问题的深入剖析。在入门部分,通过简明扼要的解释帮助初学者建立坚实的知识基础,而后续章节则逐步扩展到更高层次的逻辑推导和实际应用。书中不仅注重理论的严谨性,还融入了多样的案例与实例,旨在通过具体的演示使抽象的概念变得更加易懂。 其中一个亮点是书中对复杂问题的分层阐释。例如,在涉及多变量方程或非线性关系时,作者详细解析了每一步推导的递进思路,不仅展示了解决方法,更强调了每个环节的科学依据和实际操作的规范。这种方法帮助读者不仅掌握了知识点,还能够从中提炼出更深层的理解。 书籍还特别关注数学思维的培养,鼓励读者在阅读过程中主动思考、推理并验证自己的理解。通过引入一些常见但具有挑战性的题目,书中不仅让读者锻炼解决问题的能力,也提升了他们对学科核心原则的把握。书中还结合现代数学工具,如图形分析、计算机辅助计算等,进一步丰富了学习内容,使得学习过程更加互动和生动。 此外,该书采用清晰的结构设计,每个章节都有明确的目标与重点,使读者能够系统地掌握知识体系,并在不同部分相互衔接。内容还特别注重语言的简洁与严谨,避免使用过于口语化的表达,确保每一句话都传递出专业性和权威性。 整个书籍的设计理念在于通过严谨的理论与丰富的实例相结合,让读者不仅能获得知识,更能体会到数学研究的魅力和深刻意义。作者用精心编排的内容,引导读者一步步走进专业领域,同时培养批判性思维,激发对学习的持续兴趣。这种以科学为核心、以思维为目标的学习路径,使得每一位读者都能在阅读中获得深刻的启示与成长。 总体而言,这本书不仅仅是一本内容的集合,更是一个探索数学世界的引路人,通过细致入微的讲解和丰富多样的案例,帮助读者建立坚实的理论基础,并在思考与实践中不断进步。

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