ESSENTIAL MATHEMATICAL METHODS FOR THE PHYSICAL SCIENCES

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Essential Mathematical Methods for the Physical Sciences 作者：K. F. Riley, M. P. Hobson ISBN：9780521761147 版次：1 年份：2012 出版商：Cambridge University 頁數/規格：852頁/精裝單色 Description The mathematical methods that physical scientists need for solving substantial problems in their fields of study are set out clearly and simply in this tutorial-style textbook. Students will develop problem-solving skills through hundreds of worked examples, self-test questions and homework problems. Each chapter concludes with a summary of the main procedures and results and all assumed prior knowledge is summarized in one of the appendices. Over 300 worked examples show how to use the techniques and around 100 self-test questions in the footnotes act as checkpoints to build student confidence. Nearly 400 end-of-chapter problems combine ideas from the chapter to reinforce the concepts. Hints and outline answers to the odd-numbered problems are given at the end of each chapter, with fully-worked solutions to these problems given in the accompanying Student Solutions Manual. Table of Contents 1. Matrices and vector spaces; 2. Vector calculus; 3. Line, surface and volume integrals; 4. Fourier series; 5. Integral transforms; 6. Higher-order ordinary differential equations; 7. Series solutions of ordinary differential equations; 8. Eigenfunction methods for differential equations; 9. Special functions; 10. Partial differential equations; 11. Solution methods for PDEs; 12. Calculus of variations; 13. Integral equations; 14. Complex variables; 15. Applications of complex variables; 16. Probability; 17. Statistics; Appendices; Index.

Essential Mathematics for Economic Analysis (6版)

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Essential Mathematics for Economic Analysis (UK Original) 作 / 譯 者 ： Knut Sydsaeter,Peter Hammond,Arne Strom,Andrés Carvajal I S B N - 13 ： 9781292359281 I S B N - 10 ： 1292359285 類 別： 數理經濟 版 次： 6 版 年 份： 2021 規 格： 952 頁 出 版 商： Pearson Education Acquire the key mathematical skills you need to master and succeed in economics. Essential Mathematics for Economic Analysis, 6th edition by Sydsaeter, Hammond, Strom and Carvajal is a global best-selling text that provides an extensive introduction to all the mathematical tools you need to study economics at intermediate level. This book has been applauded for its scope and covers a broad range of mathematical knowledge, techniques and tools, progressing from elementary calculus to more advanced topics. With a wealth of practice examples, questions and solutions integrated throughout, as well as opportunities to apply them in specific economic situations, this book will help you develop key mathematical skills as your course progresses. 目錄 PART Ⅰ: PRELIMINARIES Ch 1 Essentials of Logic and Set Theory Ch 2 Algebra Ch 3 Solving Equations Ch 4 Functions of One Variable Ch 5 Properties of Functions PART Ⅱ: SINGLE VARIABLE CALCULUS Ch 6 Differentiation Ch 7 Derivatives in Use Ch 8 Concave and Convex Functions Ch 9 Optimization Ch10 Integration Ch11 Topics in Finance and Dynamics PART Ⅲ: MULTIVARIABLE ALGEBRA Ch12 Matrix Algebra Ch13 Determinants, Inverses, and Quadratic Forms PART Ⅳ: MULTIVARIABLE CALCULUS Ch14 Functions of Many Variables Ch15 Partial Derivatives in Use Ch16 Multiple Integrals PART Ⅴ: MULTIVARIABLE OPTIMIZATION Ch17 Unconstrained Optimization Ch18 Equality Constraints Ch19 Linear Programming Ch20 Nonlinear Programming