Engineering Mathematics with Examples and Applications /:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Place of publication not identified] :
Academic Press,
2016.
|
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Beschreibung: | 1. Fundamentals 2. Complex Roots 3. Vectors and Matrices 4. Calculus 5. Fourier and Laplace Transforms 6. Statistics and Curve Fitting 7. Numerical Methods 8. Optimization 9. Advanced Topics 10. Mathematical Modeling with Case Studies. |
| Beschreibung: | 1 online resource (400 pages) |
| ISBN: | 9780128099025 012809902X |
Internformat
MARC
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| 245 | 1 | 0 | |a Engineering Mathematics with Examples and Applications / |c Xin-She Yang. |
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| 500 | |a 1. Fundamentals 2. Complex Roots 3. Vectors and Matrices 4. Calculus 5. Fourier and Laplace Transforms 6. Statistics and Curve Fitting 7. Numerical Methods 8. Optimization 9. Advanced Topics 10. Mathematical Modeling with Case Studies. | ||
| 505 | 0 | |a Front Cover; Engineering Mathematics with Examples and Applications; Copyright; Contents; About the Author; Preface; Acknowledgment; Part I Fundamentals; 1 Equations and Functions; 1.1 Numbers and Real Numbers; 1.2 Equations; 1.3 Functions; 1.4 Quadratic Equations; 1.5 Simultaneous Equations; Exercises; 2 Polynomials and Roots; 2.1 Index Notation; 2.2 Floating Point Numbers; 2.3 Polynomials; 2.4 Roots; Exercises; 3 Binomial Theorem and Expansions; 3.1 Binomial Expansions; 3.2 Factorials; 3.3 Binomial Theorem and Pascal's Triangle; Exercises; 4 Sequences; 4.1 Simple Sequences. | |
| 505 | 8 | |a 4.2 Fibonacci Sequence4.3 Sum of a Series; 4.4 In nite Series; Exercises; 5 Exponentials and Logarithms; 5.1 Exponential Function; 5.2 Logarithm; 5.3 Change of Base for Logarithm; Exercises; 6 Trigonometry; 6.1 Angle; 6.2 Trigonometrical Functions; 6.3 Sine Rule; 6.4 Cosine Rule; Exercises; Part II Complex Numbers; 7 Complex Numbers; 7.1 Why Do Need Complex Numbers?; 7.2 Complex Numbers; 7.3 Complex Algebra; 7.4 Euler's Formula; 7.5 Hyperbolic Functions; Exercises; Part III Vectors and Matrices; 8 Vectors and Vector Algebra; 8.1 Vectors; 8.2 Vector Algebra; 8.3 Vector Products. | |
| 505 | 8 | |a 8.4 Triple Product of Vectors Exercises; 9 Matrices; 9.1 Matrices; 9.2 Matrix Addition and Multiplication; 9.3 Transformation and Inverse; 9.4 System of Linear Equations; 9.5 Eigenvalues and Eigenvectors; Exercises; Part IV Calculus; 10 Differentiation; 10.1 Gradient and Derivative; 10.2 Differentiation Rules; 10.3 Series Expansions and Taylor Series; Exercises; 11 Integration; 11.1 Integration; 11.2 Integration by Parts; 11.3 Integration by Substitution; Exercises; 12 Ordinary Differential Equations; 12.1 Differential Equations; 12.2 First-Order Equations; 12.3 Second-Order Equations. | |
| 505 | 8 | |a 12.4 Higher-Order ODEs12.5 System of Linear ODEs; Exercises; 13 Partial Differentiation; 13.1 Partial Differentiation; 13.2 Differentiation of Vectors; 13.3 Polar Coordinates; 13.4 Three Basic Operators; Exercises; 14 Multiple Integrals and Special Integrals; 14.1 Line Integral; 14.2 Multiple Integrals; 14.3 Jacobian; 14.4 Special Integrals; Exercises; 15 Complex Integrals; 15.1 Analytic Functions; 15.2 Complex Integrals; Exercises; Part V Fourier and Laplace Transforms; 16 Fourier Series and Transform; 16.1 Fourier Series; 16.2 Fourier Transforms. | |
| 505 | 8 | |a 16.3 Solving Differential Equations Using Fourier Transforms16.4 Discrete and Fast Fourier Transforms; Exercises; 17 Laplace Transforms; 17.1 Laplace Transform; 17.2 Transfer Function; 17.3 Solving ODE via Laplace Transform; 17.4 Z-Transform; 17.5 Relationships between Fourier, Laplace and Z-transforms; Exercises; Part VI Statistics and Curve Fitting; 18 Probability and Statistics; 18.1 Random Variables; 18.2 Mean and Variance; 18.3 Binomial and Poisson Distributions; 18.4 Gaussian Distribution; 18.5 Other Distributions; 18.6 The Central Limit Theorem; 18.7 Weibull Distribution; Exercises. | |
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| adam_text | |
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| author | Yang, Xin-She |
| author_facet | Yang, Xin-She |
| author_role | aut |
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| author_variant | x s y xsy |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | T - Technology |
| callnumber-label | TA330 |
| callnumber-raw | TA330 |
| callnumber-search | TA330 |
| callnumber-sort | TA 3330 |
| callnumber-subject | TA - General and Civil Engineering |
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| contents | Front Cover; Engineering Mathematics with Examples and Applications; Copyright; Contents; About the Author; Preface; Acknowledgment; Part I Fundamentals; 1 Equations and Functions; 1.1 Numbers and Real Numbers; 1.2 Equations; 1.3 Functions; 1.4 Quadratic Equations; 1.5 Simultaneous Equations; Exercises; 2 Polynomials and Roots; 2.1 Index Notation; 2.2 Floating Point Numbers; 2.3 Polynomials; 2.4 Roots; Exercises; 3 Binomial Theorem and Expansions; 3.1 Binomial Expansions; 3.2 Factorials; 3.3 Binomial Theorem and Pascal's Triangle; Exercises; 4 Sequences; 4.1 Simple Sequences. 4.2 Fibonacci Sequence4.3 Sum of a Series; 4.4 In nite Series; Exercises; 5 Exponentials and Logarithms; 5.1 Exponential Function; 5.2 Logarithm; 5.3 Change of Base for Logarithm; Exercises; 6 Trigonometry; 6.1 Angle; 6.2 Trigonometrical Functions; 6.3 Sine Rule; 6.4 Cosine Rule; Exercises; Part II Complex Numbers; 7 Complex Numbers; 7.1 Why Do Need Complex Numbers?; 7.2 Complex Numbers; 7.3 Complex Algebra; 7.4 Euler's Formula; 7.5 Hyperbolic Functions; Exercises; Part III Vectors and Matrices; 8 Vectors and Vector Algebra; 8.1 Vectors; 8.2 Vector Algebra; 8.3 Vector Products. 8.4 Triple Product of Vectors Exercises; 9 Matrices; 9.1 Matrices; 9.2 Matrix Addition and Multiplication; 9.3 Transformation and Inverse; 9.4 System of Linear Equations; 9.5 Eigenvalues and Eigenvectors; Exercises; Part IV Calculus; 10 Differentiation; 10.1 Gradient and Derivative; 10.2 Differentiation Rules; 10.3 Series Expansions and Taylor Series; Exercises; 11 Integration; 11.1 Integration; 11.2 Integration by Parts; 11.3 Integration by Substitution; Exercises; 12 Ordinary Differential Equations; 12.1 Differential Equations; 12.2 First-Order Equations; 12.3 Second-Order Equations. 12.4 Higher-Order ODEs12.5 System of Linear ODEs; Exercises; 13 Partial Differentiation; 13.1 Partial Differentiation; 13.2 Differentiation of Vectors; 13.3 Polar Coordinates; 13.4 Three Basic Operators; Exercises; 14 Multiple Integrals and Special Integrals; 14.1 Line Integral; 14.2 Multiple Integrals; 14.3 Jacobian; 14.4 Special Integrals; Exercises; 15 Complex Integrals; 15.1 Analytic Functions; 15.2 Complex Integrals; Exercises; Part V Fourier and Laplace Transforms; 16 Fourier Series and Transform; 16.1 Fourier Series; 16.2 Fourier Transforms. 16.3 Solving Differential Equations Using Fourier Transforms16.4 Discrete and Fast Fourier Transforms; Exercises; 17 Laplace Transforms; 17.1 Laplace Transform; 17.2 Transfer Function; 17.3 Solving ODE via Laplace Transform; 17.4 Z-Transform; 17.5 Relationships between Fourier, Laplace and Z-transforms; Exercises; Part VI Statistics and Curve Fitting; 18 Probability and Statistics; 18.1 Random Variables; 18.2 Mean and Variance; 18.3 Binomial and Poisson Distributions; 18.4 Gaussian Distribution; 18.5 Other Distributions; 18.6 The Central Limit Theorem; 18.7 Weibull Distribution; Exercises. |
| ctrlnum | (OCoLC)973048447 |
| dewey-full | 620.001/51 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.001/51 |
| dewey-search | 620.001/51 |
| dewey-sort | 3620.001 251 |
| dewey-tens | 620 - Engineering and allied operations |
| format | Electronic eBook |
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| indexdate | 2024-11-27T13:27:40Z |
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| publisher | Academic Press, |
| record_format | marc |
| spelling | Yang, Xin-She, author School of Science and Technology, Middlesex University, UK Engineering Mathematics with Examples and Applications / Xin-She Yang. [Place of publication not identified] : Academic Press, 2016. 1 online resource (400 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier 1. Fundamentals 2. Complex Roots 3. Vectors and Matrices 4. Calculus 5. Fourier and Laplace Transforms 6. Statistics and Curve Fitting 7. Numerical Methods 8. Optimization 9. Advanced Topics 10. Mathematical Modeling with Case Studies. Front Cover; Engineering Mathematics with Examples and Applications; Copyright; Contents; About the Author; Preface; Acknowledgment; Part I Fundamentals; 1 Equations and Functions; 1.1 Numbers and Real Numbers; 1.2 Equations; 1.3 Functions; 1.4 Quadratic Equations; 1.5 Simultaneous Equations; Exercises; 2 Polynomials and Roots; 2.1 Index Notation; 2.2 Floating Point Numbers; 2.3 Polynomials; 2.4 Roots; Exercises; 3 Binomial Theorem and Expansions; 3.1 Binomial Expansions; 3.2 Factorials; 3.3 Binomial Theorem and Pascal's Triangle; Exercises; 4 Sequences; 4.1 Simple Sequences. 4.2 Fibonacci Sequence4.3 Sum of a Series; 4.4 In nite Series; Exercises; 5 Exponentials and Logarithms; 5.1 Exponential Function; 5.2 Logarithm; 5.3 Change of Base for Logarithm; Exercises; 6 Trigonometry; 6.1 Angle; 6.2 Trigonometrical Functions; 6.3 Sine Rule; 6.4 Cosine Rule; Exercises; Part II Complex Numbers; 7 Complex Numbers; 7.1 Why Do Need Complex Numbers?; 7.2 Complex Numbers; 7.3 Complex Algebra; 7.4 Euler's Formula; 7.5 Hyperbolic Functions; Exercises; Part III Vectors and Matrices; 8 Vectors and Vector Algebra; 8.1 Vectors; 8.2 Vector Algebra; 8.3 Vector Products. 8.4 Triple Product of Vectors Exercises; 9 Matrices; 9.1 Matrices; 9.2 Matrix Addition and Multiplication; 9.3 Transformation and Inverse; 9.4 System of Linear Equations; 9.5 Eigenvalues and Eigenvectors; Exercises; Part IV Calculus; 10 Differentiation; 10.1 Gradient and Derivative; 10.2 Differentiation Rules; 10.3 Series Expansions and Taylor Series; Exercises; 11 Integration; 11.1 Integration; 11.2 Integration by Parts; 11.3 Integration by Substitution; Exercises; 12 Ordinary Differential Equations; 12.1 Differential Equations; 12.2 First-Order Equations; 12.3 Second-Order Equations. 12.4 Higher-Order ODEs12.5 System of Linear ODEs; Exercises; 13 Partial Differentiation; 13.1 Partial Differentiation; 13.2 Differentiation of Vectors; 13.3 Polar Coordinates; 13.4 Three Basic Operators; Exercises; 14 Multiple Integrals and Special Integrals; 14.1 Line Integral; 14.2 Multiple Integrals; 14.3 Jacobian; 14.4 Special Integrals; Exercises; 15 Complex Integrals; 15.1 Analytic Functions; 15.2 Complex Integrals; Exercises; Part V Fourier and Laplace Transforms; 16 Fourier Series and Transform; 16.1 Fourier Series; 16.2 Fourier Transforms. 16.3 Solving Differential Equations Using Fourier Transforms16.4 Discrete and Fast Fourier Transforms; Exercises; 17 Laplace Transforms; 17.1 Laplace Transform; 17.2 Transfer Function; 17.3 Solving ODE via Laplace Transform; 17.4 Z-Transform; 17.5 Relationships between Fourier, Laplace and Z-transforms; Exercises; Part VI Statistics and Curve Fitting; 18 Probability and Statistics; 18.1 Random Variables; 18.2 Mean and Variance; 18.3 Binomial and Poisson Distributions; 18.4 Gaussian Distribution; 18.5 Other Distributions; 18.6 The Central Limit Theorem; 18.7 Weibull Distribution; Exercises. Engineering mathematics. http://id.loc.gov/authorities/subjects/sh85043235 Mathématiques de l'ingénieur. TECHNOLOGY & ENGINEERING Engineering (General) bisacsh TECHNOLOGY & ENGINEERING Reference. bisacsh Engineering mathematics fast Electronic book. Print version: Yang, Xin-She. Engineering mathematics with examples and applications. London : Academic Press, 2017 0128097302 9780128097304 (OCoLC)964303424 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1204228 Volltext FWS01 ZDB-4-EBA FWS_PDA_EBA https://www.sciencedirect.com/science/book/9780128097304 Volltext |
| spellingShingle | Yang, Xin-She Engineering Mathematics with Examples and Applications / Front Cover; Engineering Mathematics with Examples and Applications; Copyright; Contents; About the Author; Preface; Acknowledgment; Part I Fundamentals; 1 Equations and Functions; 1.1 Numbers and Real Numbers; 1.2 Equations; 1.3 Functions; 1.4 Quadratic Equations; 1.5 Simultaneous Equations; Exercises; 2 Polynomials and Roots; 2.1 Index Notation; 2.2 Floating Point Numbers; 2.3 Polynomials; 2.4 Roots; Exercises; 3 Binomial Theorem and Expansions; 3.1 Binomial Expansions; 3.2 Factorials; 3.3 Binomial Theorem and Pascal's Triangle; Exercises; 4 Sequences; 4.1 Simple Sequences. 4.2 Fibonacci Sequence4.3 Sum of a Series; 4.4 In nite Series; Exercises; 5 Exponentials and Logarithms; 5.1 Exponential Function; 5.2 Logarithm; 5.3 Change of Base for Logarithm; Exercises; 6 Trigonometry; 6.1 Angle; 6.2 Trigonometrical Functions; 6.3 Sine Rule; 6.4 Cosine Rule; Exercises; Part II Complex Numbers; 7 Complex Numbers; 7.1 Why Do Need Complex Numbers?; 7.2 Complex Numbers; 7.3 Complex Algebra; 7.4 Euler's Formula; 7.5 Hyperbolic Functions; Exercises; Part III Vectors and Matrices; 8 Vectors and Vector Algebra; 8.1 Vectors; 8.2 Vector Algebra; 8.3 Vector Products. 8.4 Triple Product of Vectors Exercises; 9 Matrices; 9.1 Matrices; 9.2 Matrix Addition and Multiplication; 9.3 Transformation and Inverse; 9.4 System of Linear Equations; 9.5 Eigenvalues and Eigenvectors; Exercises; Part IV Calculus; 10 Differentiation; 10.1 Gradient and Derivative; 10.2 Differentiation Rules; 10.3 Series Expansions and Taylor Series; Exercises; 11 Integration; 11.1 Integration; 11.2 Integration by Parts; 11.3 Integration by Substitution; Exercises; 12 Ordinary Differential Equations; 12.1 Differential Equations; 12.2 First-Order Equations; 12.3 Second-Order Equations. 12.4 Higher-Order ODEs12.5 System of Linear ODEs; Exercises; 13 Partial Differentiation; 13.1 Partial Differentiation; 13.2 Differentiation of Vectors; 13.3 Polar Coordinates; 13.4 Three Basic Operators; Exercises; 14 Multiple Integrals and Special Integrals; 14.1 Line Integral; 14.2 Multiple Integrals; 14.3 Jacobian; 14.4 Special Integrals; Exercises; 15 Complex Integrals; 15.1 Analytic Functions; 15.2 Complex Integrals; Exercises; Part V Fourier and Laplace Transforms; 16 Fourier Series and Transform; 16.1 Fourier Series; 16.2 Fourier Transforms. 16.3 Solving Differential Equations Using Fourier Transforms16.4 Discrete and Fast Fourier Transforms; Exercises; 17 Laplace Transforms; 17.1 Laplace Transform; 17.2 Transfer Function; 17.3 Solving ODE via Laplace Transform; 17.4 Z-Transform; 17.5 Relationships between Fourier, Laplace and Z-transforms; Exercises; Part VI Statistics and Curve Fitting; 18 Probability and Statistics; 18.1 Random Variables; 18.2 Mean and Variance; 18.3 Binomial and Poisson Distributions; 18.4 Gaussian Distribution; 18.5 Other Distributions; 18.6 The Central Limit Theorem; 18.7 Weibull Distribution; Exercises. Engineering mathematics. http://id.loc.gov/authorities/subjects/sh85043235 Mathématiques de l'ingénieur. TECHNOLOGY & ENGINEERING Engineering (General) bisacsh TECHNOLOGY & ENGINEERING Reference. bisacsh Engineering mathematics fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85043235 |
| title | Engineering Mathematics with Examples and Applications / |
| title_auth | Engineering Mathematics with Examples and Applications / |
| title_exact_search | Engineering Mathematics with Examples and Applications / |
| title_full | Engineering Mathematics with Examples and Applications / Xin-She Yang. |
| title_fullStr | Engineering Mathematics with Examples and Applications / Xin-She Yang. |
| title_full_unstemmed | Engineering Mathematics with Examples and Applications / Xin-She Yang. |
| title_short | Engineering Mathematics with Examples and Applications / |
| title_sort | engineering mathematics with examples and applications |
| topic | Engineering mathematics. http://id.loc.gov/authorities/subjects/sh85043235 Mathématiques de l'ingénieur. TECHNOLOGY & ENGINEERING Engineering (General) bisacsh TECHNOLOGY & ENGINEERING Reference. bisacsh Engineering mathematics fast |
| topic_facet | Engineering mathematics. Mathématiques de l'ingénieur. TECHNOLOGY & ENGINEERING Engineering (General) TECHNOLOGY & ENGINEERING Reference. Engineering mathematics Electronic book. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1204228 https://www.sciencedirect.com/science/book/9780128097304 |
| work_keys_str_mv | AT yangxinshe engineeringmathematicswithexamplesandapplications |