This book delves into the realm of elementary mathematical analysis, providing a solid foundation for understanding the fundamental truths of calculus. The author emphasizes the concept of functionality, utilizing illustrations from science to demonstrate the practical applications of mathematical laws in expressing and interpreting real-world phenomena. The book is structured around three fundamental functions: the power function, the simple periodic function, and the exponential function. It presents a novel approach to transforming these functions through theorems on loci, explaining how graphs can be translated, rotated, sheared, and contracted or expanded. The author also explores combinations of these functions and discusses their significance in expressing elementary natural laws. Throughout the book, emphasis is placed on the development of proper habits of work, including neatness, system, and logical thinking. The author recognizes the importance of character building in mathematics education and encourages readers to cultivate these qualities. This book is an ideal resource for students seeking a deeper understanding of elementary mathematical analysis and its applications in science. Its clear explanations, practical examples, and thought-provoking questions make it an invaluable tool for anyone interested in gaining a strong foundation in this essential subject.
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Excerpt from Elementary Mathematical Analysis: A Text Book for First Year College Students
This book is not intended to be a text on Practical Mathe maties in the sense of making use Of scientific material and of fundamental notions not already in the possession of the student, or in the sense of making the principles Of mathematics secondary to its technique. On the contrary, it has been the aim to give the fundamental truths of elementary analysis as much prominence as seems possible in a working course for freshmen.
The emphasis Of the book is intended to be upon the notion of functionality. Illustrations from science are freely used to make this concept prominent. The student should learn early in his course that an important purpose of mathematics is to express and to interpret the laws of actual phenomena and not primarily to secure here and there certain computed results. Mathematics might well be defined as the science that takes the broadest View of all of the sciences - an epitome of quantitative knowledge. The introduction of the student to a broad view Of mathematics can hardly begin too early.
The ideas explained above are developed In accordance with a two-fold plan, as follows: First, the plan is to group the material Of elementary analysis about the consideration Of the three fundamental functions.
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Artikel-Nr. LW-9781330102008
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Artikel-Nr. LW-9781330102008
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