Advanced Engineering Calculus is a content-rich, user-friendly and compact learning and teaching resource. It offers over 440 problems — many with multiple parts — as well as detailed figures to aid readers in visualizing and understanding the topics covered. Engaging with a wide range of advanced calculus topics and their applications, this book caters to students enrolled in the sciences and applied sciences. Each chapter begins with an accessible summary of the relevant mathematical notions and their properties. Questions are sorted by topic and accompanied by detailed solutions. To further aid readers, precise and consistent mathematical notation and vocabulary are used throughout. This produces a learning resource capable of clearly communicating complex and advanced calculus ideas and their applications. In short, this book serves as a cross between a handbook, a learning guide, and rich teaching resource on a wide range of advanced calculus topics, something that has been missing in the otherwise crowded field of calculus titles. Request Inspection Copy Sample Chapter(s) Preface Chapter 3: Difference Equations Contents: Preface Preliminaries Fourier Analysis Ordinary Differential Equations Difference Equations Laplace Transformation Vector Analysis References Index
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Calculus, Volume 1 2/e ISBN13：9780471000051 出版社：Wiley 作者：APOSTOL 裝訂：精裝 版次：2 出版日：1991/10/00
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高等微積分（下） ISBN13：9789573040682 出版社：超級科技圖書 作者：鍾振凌 裝訂：平裝 規格：23cm*17cm*2cm (高/寬/厚) 出版日：2004/01/01 中國圖書分類：微積分 內容簡介 本書的內容是以清華大學數學系相關的教材編輯而成，內容涵蓋了黎曼積分、魯貝格積分、初等泛涵...等。
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書名：Calculus Volume 2 2/e 作者：APOSTOL 出版社：John Wiley 出版日期：1969/06/20 ISBN：9780471000075 內容簡介 Volume I presents one-variable calculus with an introduction to linear algebra and volume II presents multi-variable calculus and linear algebra, with applications to differential equations and probability 目錄 PART 1 Linear Analysis. 1.Linear Spaces. 2.Linear Transformations and Matrices. 3.Determinants. 4.Eigenvalues and Eigenvectors. 5.Eigenvalues of Operators Acting on Euclidean Spaces. 6.Linear Differential Equations. 7.Systems of Differential Equations. PART 2 Nonlinear Analysis. 8.Differential Calculus of Scalar and Vector Fields. 9.Applications of the Differential Calculus. 10.Line Integrals. 11.Multiple Integrals 12.Surface Integrals PART 3 Special Topics. 13.Set Functions and Elementary Probability. 14.Calculus of Probabilities. 15.Introduction to Numerical Analysis.
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【簡介】 ●Use of Simple Examples: Opt for straightforward examples instead of complex ones, as they can be just as, if not more, effective for teaching purposes. ●Independent Chapters: Allow for adaptable course design to meet specific educational needs. ●Comprehensive Content: Ensure the material is self-contained, with only a few instances where a proof is beyond the book's scope, clearly marked, and referenced. ●Contemporary Notation: Adopt modern standard notation to assist students in other courses and when reading current books, as well as mathematical and engineering journals. 【目錄】 PART A Ordinary Differential Equations (ODEs) CHAPTER 1 First-Order ODEs CHAPTER 2 Second-Order Linear ODEs CHAPTER 3 Higher Order Linear ODEs CHAPTER 4 Systems of ODEs. Phase Plane. Qualitative Methods CHAPTER 5 Series Solutions of ODEs. Special Functions CHAPTER 6 Laplace Transforms PART B Linear Algebra. Vector Calculus CHAPTER 7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems CHAPTER 8 Linear Algebra: Matrix Eigenvalue Problems CHAPTER 9 Vector Differential Calculus. Grad, Div, Curl CHAPTER 10 Vector Integral Calculus. Integral Theorems PART C Fourier Analysis. Partial Differential Equations (PDEs) CHAPTER 11 Fourier Analysis CHAPTER 12 Partial Differential Equations (PDEs) PART D Complex Analysis CHAPTER 13 Complex Numbers and Functions. Complex Differentiation CHAPTER 14 Complex Integration CHAPTER 15 Power Series, Taylor Series CHAPTER 16 Laurent Series. Residue Integration CHAPTER 17 Conformal Mapping CHAPTER 18 Complex Analysis and Potential Theory PART E Numeric Analysis CHAPTER 19 Numerics in General CHAPTER 20 Numeric Linear Algebra CHAPTER 21 Numerics for ODEs and PDEs PART F Optimization, Graphs CHAPTER 22 Unconstrained Optimization. Linear Programming CHAPTER 23 Graphs. Combinatorial Optimization PART G Probability, Statistics (available online) CHAPTER 24 Data Analysis. Probability Theory CHAPTER 25 Mathematical Statistics APPENDIX 1 References APPENDIX 2 Answers to Selected Problems (available online) APPENDIX 3 Auxiliary Material APPENDIX 4 Additional Proofs APPENDIX 5 Tables APPENDIX 6 Emerging Topics in Applied Mathematics
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【簡介】 The seventh edition of Advanced Engineering Mathematics provides learners with a modern and comprehensive compendium of topics that are most often covered in courses in engineering mathematics, and is extremely flexible to meet the unique needs of courses ranging from ordinary differential equations, to vector calculus, to partial differential equations. Acclaimed author, Dennis G. Zill's accessible writing style and strong pedagogical aids, guide students through difficult concepts with thoughtful explanations, clear examples, interesting applications, and contributed project problems. Each new print copy includes a Navigate Companion Website with access to interactive and informative learning resources that gauge understanding and help students study more effectively. 【目錄】 Chapter 1 Introduction to Differential Equations Chapter 2 First-Order Differential Equations Chapter 3 Higher-Order Differential Equations Chapter 4 The Laplace Transform Chapter 5 Series Solutions of Linear Equations Chapter 6 Numerical Solutions of Ordinary Differential Equations Chapter 7 Vectors Chapter 8 Matrices Chapter 9 Vector Calculus Chapter 10 Systems of Linear Differential Equations Chapter 11 Systems of Nonlinear Differential Equations Chapter 12 Fourier Series Chapter 13 Boundary-Value Problems in Rectangular Coordinates Chapter 14 Boundary-Value Problems in Other Coordinate Systems Chapter 15 Integral Transforms Chapter 16 Numerical Solutions of Partial Differential Equations Chapter 17 Functions of a Complex Variable Chapter 18 Integration in the Complex Plane Chapter 19 Series and Residues Chapter 20 Conformal Mappings
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【簡介】 Balanis’ third edition of Advanced Engineering Electromagnetics - a global best-seller for over 30 years - covers the advanced knowledge engineers involved in electromagnetics need to know, particularly as the topic relates to the fast-moving, continuously evolving, and rapidly expanding field of wireless communications. The immense interest in wireless communications and the expected increase in wireless communications systems projects (antennas, microwaves and wireless communications) points to an increase in the number of engineers needed to specialize in this field.Highlights of the 3rd Edition include: ●A new chapter, on Artificial Impedance Surfaces (AIS), contains material on current and advanced EM technologies, including the exciting and fascinating topic of metasurfaces for: 1.Control and broadband RCS reduction using checkerboard designs. 2.Optimization of antenna fundamental parameters, such as: input impedance, directivity, realized gain, amplitude radiation pattern. 3.Leaky-wave antennas using 1-D and 2-D polarization diverse-holographic high impedance metasurfaces for antenna radiation control and optimization. 4.Associated MATLAB programs for the design of checkerboard metasurfaces for RCS reduction, and metasurface printed antennas and holographic L WA for radiation control and optimization. ●Throughout the book, there are: 1.Additional examples, numerous end-of-chapter problems, and PPT notes. 2.Fifty three MATLAB computer programs for computations, graphical visualizations and animations. 3.Nearly 4,500 multicolor PowerPoint slides are available for self-study or lecture use. CONSTANTINE A. BALANIS is Regents Professor Emeritus of Electrical Engineering at Arizona State University, USA. He received his BSEE from Virginia Tech in 1964, his MEE from the University of Virginia in 1966, his PhD in Electrical Engineering from The Ohio State University in 1969, and an honorary doctorate from the Aristotle University of Thessaloniki (AUTH). Professor Balanis is a Life Fellow of IEEE, author of Antenna Theory: Analysis and Design, and editor of Modern Antenna Handbook, both published by Wiley. 【目錄】 1 Time-Varying and Time-Harmonic Electromagnetic Fields 2 Electrical Properties of Matter 3 Wave Equation and Its Solutions 4 Wave Propagation and Polarization 5 Reflection and Transmission 6 Auxiliary Vector Potentials, Construction of Solutions, and Radiation and Scattering Equations 7 Electromagnetic Theorems and Principles 8 Rectangular Cross-Section Waveguides and Cavities 9 Circular Cross-Section Waveguides and Cavities 10 Spherical Transmission Lines and Cavities 11 Scattering 12 Integral Equations and the Moment Method 13 Geometrical Theory of Diffraction 14 Diffraction by a Wedge with Impedance Surfaces 15 Green’s Functions 16 Artificial Impedance Surfaces Appendix I Identities Appendix II Vector Analysis Appendix III Fresnel Integrals Appendix IV Bessel Functions Appendix V Legendre Polynomials and Functions Appendix VI the Method of Steepest Descent (saddle-point Method)
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