Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry

George F. Simmons

  • 出版商: Wipf
  • 出版日期: 2003-01-14
  • 售價: $950
  • 貴賓價: 9.5$903
  • 語言: 英文
  • 頁數: 128
  • 裝訂: Paperback
  • ISBN: 1592441300
  • ISBN-13: 9781592441303
  • 相關分類: 微積分 Calculus
  • 無法訂購

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"Geometry is a very beautiful subject whose qualities of elegance, order, and certainty have exerted a powerful attraction on the human mind for many centuries. . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun." In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.

George Simmons received his undergraduate degree from the California Institute of Technology and his graduate degrees from the University of Chicago and Yale University. His previous books include 'Introduction to Topology and Modern Analysis' (1962) and 'Differential Equations with Applications and Historical Notes' (1972). 'Precalculus Mathematics in a Nutshell' was written after many years of teaching calculus courses convinced the author that a clearly focused, brief review of high school mathematics should be available -- one which highlights the important ideas of geometry, algebra, and trigonometry and makes them easy to understand and remember.

商品描述(中文翻譯)

「描述」
幾何學是一門非常美麗的學科,其優雅、秩序和確定性的特質已經在許多世紀以來對人類的思維產生了強大的吸引力。代數的重要性在於學生的未來,作為科學、工程、經濟學或更高級數學的嚴肅學習的基礎準備。三角學的主要重要性不在於其在測量和導航中的應用,或者在於對三角形進行計算,而是在於對所有類型的振動、旋轉和週期性現象(包括光、聲音、交流電和行星繞太陽運行)的數學描述。在這本簡明寫作的書中,幾何學、代數和三角學的基本知識被整合成三個互補且方便的小節,為任何希望在最少的誤解和浪費時間和精力的情況下準備掌握微積分的人提供了一個很好的預覽和複習。學生和其他讀者將在這裡找到他們所需的一切。

喬治·西蒙斯(George Simmons)獲得加州理工學院的學士學位,並在芝加哥大學和耶魯大學獲得研究生學位。他之前的著作包括《拓撲學和現代分析導論》(1962年)和《帶應用和歷史注釋的微分方程》(1972年)。在多年的教授微積分課程後,西蒙斯教授認為應該提供一個明確而集中的、簡短的高中數學複習材料,突出幾何學、代數和三角學的重要思想,使其易於理解和記憶。因此,他寫了《預備微積分的數學要點》。