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Titlebook: Calculus I; Brian Knight,Roger Adams Book 1975 Springer Science+Business Media New York 1975 curve sketching.differential equation.integra

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發(fā)表于 2025-3-21 16:52:09 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Calculus I
編輯Brian Knight,Roger Adams
視頻videohttp://file.papertrans.cn/221/220847/220847.mp4
圖書封面Titlebook: Calculus I;  Brian Knight,Roger Adams Book 1975 Springer Science+Business Media New York 1975 curve sketching.differential equation.integra
描述Each chapter in this book deals with a single mathematical topic, which ideally should form the basis of a single lecture. The chapter has been designed as a mixture of the following ingredients: -(i) Illustrative examples and notes for the student‘s pre-lecture reading. (ii) Class discussion exercises for study in a lecture or seminar. (iii) Graded problems for assignment work. Contents 1 Sets, functions page 11 2 Limits and continuity 17 3 The exponential and related functions 25 4 Inverse functions 30 5 Differentiation 35 6 Differentiation of implicit functions 44 7 Maxima and minima 50 8 Curve sketching 54 9 Expansion in series 61 10 Newton‘s method 67 11 Area and integration 72 12 Standard integrals 80 13 Applications of the fundamental theorem 87 14 Substitution in integrals 94 15 Use of partial fractions 100 16 Integration by parts 106 Answers to problems 110 Index 116 1 Sets, Functions A set is a collection of distinct objects. The objects be- longing to a set are the elements (or members) of the set. Although the definition of a set given here refers to objects, we shall in fact take objects to be numbers throughout this book, i.e. we are concerned with sets of numbers. Il
出版日期Book 1975
關(guān)鍵詞curve sketching; differential equation; integral; integration; maximum; minimum
版次1
doihttps://doi.org/10.1007/978-1-4615-6594-9
isbn_softcover978-0-04-517011-1
isbn_ebook978-1-4615-6594-9
copyrightSpringer Science+Business Media New York 1975
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沙發(fā)
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DNA Transfection: Calcium Phosphate Methodgral in terms of .. In this case, of course, we must also express . in terms of .; but the rule for this is quite easy since in differential notation: . = ., and we are allowed to make this substitution under the integral sign (see class discussion exercise 2) to give the rule:
地板
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Neural Correlates of Insight Phenomenahe more important of these features to look for in an equation, and illustrate in the examples how the graph may be built up from them. Not all of these points are relevant or necessary for every graph, of course, so that not every point is discussed in each of the illustrative examples.
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Standard Integrals,or the integral here, and in this case it is called an . integral: the right-hand side consequently contains an arbitrary constant . (which can take any value we like) since if the derivative of .(.) equals .(.) then so does the derivative of .(.) + c.
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