Pre-calculus, calculus, and beyond
Hung-Hsi Wu
Bok · Engelsk · 2020
| Originaltittel | [ Pre-calculus, calculus, and beyond .] Engelsk
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| Omfang | xxxix, 417 sider : illustrasjoner
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| Opplysninger | Trigonometry ; The concept of limit ; The decimal expansion of a number ; Length and area ; 3-dimensional geometry and volume ; Derivatives and integrals ; Exponents and logarithms, revisited. - "This is the last of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. This volume distinguishes itself from others of the same genre in getting the mathematics right. In trigonometry, this volume makes explicit the fact that the trigonometric functions cannot even be defined without the theory of similar triangles. It also provides details for extending the domain of definition of sine and cosine to all real numbers. It explains as well why radians should be used for angle measurements and gives a proof of the conversion formulas between degrees and radians. In calculus, this volume pares the technicalities concerning limits down to the essential minimum to make the proofs of basic facts about differentiation and integration both correct and accessible to school teachers and educators; the exposition may also benefit beginning math majors who are learning to write proofs. An added bonus is a correct proof that one can get a repeating decimal equal to a given fraction by the “long division” of the numerator by the denominator. This proof attends to all three things all at once: what an infinite decimal is, why it is equal to the fraction, and how long division enters the picture. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals."
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| Emner | Calculus.
Precalculus. General -- Instructional exposition (textbooks, tutorial papers, etc.). General -- Research exposition (monographs, survey articles). Vis mer... Mathematics education -- Education and instruction in mathematics -- None of the above, but in this section.
Mathematics education -- General reference works (handbooks, dictionaries, bibliographies, etc.). Mathematics education -- Instructional exposition (textbooks, tutorial papers, etc.). Mathematics education -- Research exposition (monographs, survey articles). Kalkulus Matematikk |
| Dewey | |
| ISBN | 9781470456771
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