<電子ブック>
Applied Calculus with R / by Thomas J. Pfaff
版 | 1st ed. 2023. |
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出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2023 |
本文言語 | 英語 |
大きさ | XIV, 532 p. 269 illus., 151 illus. in color : online resource |
著者標目 | *Pfaff, Thomas J author SpringerLink (Online service) |
件 名 | LCSH:Mathematical statistics LCSH:Computer science -- Mathematics 全ての件名で検索 LCSH:Stochastic processes LCSH:Calculus FREE:Mathematical Statistics FREE:Mathematical Applications in Computer Science FREE:Stochastic Calculus |
一般注記 | A Brief Introduction to R -- Describing a Graph -- The Function Gallery -- I: Change and the Derivative -- How Fast is CO2 Increasing? -- The Idea of the Derivative -- Formulas Quantifying Change.-The Microscope Equation -- Successive Approximations to Estimate Derivatives -- The Derivative Graphically -- The Formal Derivative as a Limit -- Basic Derivative Rules -- Produce Rule -- Quotient Rule -- Chain Rule -- Derivatives with R -- End Behavior of a Function - L'Hospital's Rule -- II: Applications of the Derivative -- How Do We Know the Shape of a Function? -- Finding Extremes -- Optimization -- Derivatives of Functions of Two Variables -- Related Rates -- Surge Function -- Differential Equations - Preliminaries -- Differential Equations - Population Growth Models -- Differential Equations - Predator Prey -- Differential equations - SIR Model -- Project: The Gini Coefficient - Prelude to Section III -- III: Accumulation and the Integral -- Area Under Curves -- The Accumulation Function -- The Fundamental Theorem of Calculus -- Techniques of Integration - The u Substitution -- Techniques of Integration - Integration by Parts -- IV: Appendices - Algebra Review -- Algebra Review - Functions and Graphs -- Algebra Review - Adding and Multiplying Fractions -- Algebra Review - Exponents -- Algebra Review - Lines -- Algebra Review - Expanding, Factoring, and Roots -- Algebra Review - Function Composition -- Glossary -- Answers to Odd Problems -- R Code for Figures This textbook integrates scientific programming with the use of R and uses it both as a tool for applied problems and to aid in learning calculus ideas. Adding R, which is free and used widely outside academia, introduces students to programming and expands the types of problems students can engage. There are no expectations that a student has any coding experience to use this text. While this is an applied calculus text including real world data sets, a student that decides to go on in mathematics should develop sufficient algebraic skills so that they can be successful in a more traditional second semester calculus course. Hopefully, the applications provide some motivation to learn techniques and theory and to take additional math courses. The book contains chapters in the appendix for algebra review as algebra skills can always be improved. Exercise sets and projects are included throughout with numerous exercises based on graphs HTTP:URL=https://doi.org/10.1007/978-3-031-28571-4 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783031285714 |
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電子リソース |
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EB00223999 |