<電子ブック>
Calculus III / by Jerrold Marsden, Alan Weinstein
(Undergraduate Texts in Mathematics. ISSN:21975604)
版 | 2nd ed. 1985. |
---|---|
出版者 | New York, NY : Springer New York : Imprint: Springer |
出版年 | 1985 |
大きさ | XV, 344 p : online resource |
著者標目 | *Marsden, Jerrold author Weinstein, Alan author SpringerLink (Online service) |
件 名 | LCSH:Functions of real variables FREE:Real Functions |
一般注記 | 13 Vectors -- 13.1 Vectors in the Plane -- 13.2 Vectors in Space -- 13.3 Lines and Distance -- 13.4 The Dot Product -- 13.5 The Cross Product -- 13.6 Matrices and Determinants -- 14 Curves and Surfaces -- 14.1 The Conic Sections -- 14.2 Translation and Rotation of Axes -- 14.3 Functions, Graphs, and Level Surfaces -- 14.4 Quadric Surfaces -- 14.5 Cylindrical and Spherical Coordinates -- 14.6 Curves in Space -- 14.7 The Geometry and Physics of Space Curves -- 15 Partial Differentiation -- 15.1 Introduction to Partial Derivatives -- 15.2 Linear Approximations and Tangent Planes -- 15.3 The Chain Rule -- 15.4 Matrix Multiplication and the Chain Rule -- 16 Gradients, Maxima, and Minima -- 16.1 Gradients and Directional Derivatives -- 16.2 Gradients, Level Surfaces, and Implicit Differentiation -- 16.3 Maxima and Minima -- 16.4 Constrained Extrema and Lagrange Multipliers -- 17 Multiple Integration -- 17.1 The Double Integral and Iterated Integral -- 17.2 The Double Integral Over General Regions -- 17.3 Applications of the Double Integral -- 17.4 Triple Integrals -- 17.5 Integrals in Polar, Cylindrical, and Spherical Coordinates -- 17.6 Applications of Triple Integrals -- 18 Vector Analysis -- 18.1 Line Integrals -- 18.2 Path Independence -- 18.3 Exact Differentials -- 18.4 Green’s Theorem -- 18.5 Circulation and Stokes’ Theorem -- 18.6 Flux and the Divergence Theorem -- Answers The goal of this text is to help students learn to use calculus intelligently for solving a wide variety of mathematical and physical problems. This book is an outgrowth of our teaching of calculus at Berkeley, and the present edition incorporates many improvements based on our use of the first edition. We list below some of the key features of the book. Examples and Exercises The exercise sets have been carefully constructed to be of maximum use to the students. With few exceptions we adhere to the following policies . • The section exercises are graded into three consecutive groups: (a) The first exercises are routine, modelled almost exactly on the exam ples; these are intended to give students confidence. (b) Next come exercises that are still based directly on the examples and text but which may have variations of wording or which combine different ideas; these are intended to train students to think for themselves. (c) The last exercises in each set are difficult. These are marked with a star (*) and some will challenge even the best studep,ts. Difficult does not necessarily mean theoretical; often a starred problem is an interesting application that requires insight into what calculus is really about. • The exercises come in groups of two and often four similar ones HTTP:URL=https://doi.org/10.1007/978-1-4612-5028-9 |
目次/あらすじ
所蔵情報を非表示
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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9781461250289 |
|
電子リソース |
|
EB00222874 |
類似資料
この資料の利用統計
このページへのアクセス回数:7回
※2017年9月4日以降