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Titre : Advanced Electromagnetic Wave Propagation Methods Type de document : texte imprimé Auteurs : Guillermo Gonzalez, Auteur Mention d'édition : 1éd. Editeur : Francis :CRC Press Année de publication : 2022 Importance : 702p. Présentation : Couverture externe,figures Format : 24X16cm ISBN/ISSN/EAN : 978-1-03-211400-2 Note générale : Guillermo Gonzalez, PhD, is a professor emeritus in the Department of Electrical Engineering at the University of Miami. He earned an M.S. in electrical engineering from the University of Miami and a PhD from the University of Arizona. His research interests include RF and microwave electronics and electromagnetic theory. Langues : Anglais moyen (ca.1100-1500) (enm) Langues originales : Anglais moyen (ca.1100-1500) (enm) Catégories : 2 Science Mots-clés : Electromagnetic,plane waves Index. décimale : 539 Physique moderne : physique moléculaire, atomique, nucléaire, quantique Résumé : This textbook provides a solid foundation into many approaches that are used in the analysis of advanced electromagnetic wave propagation problems. The techniques discussed are essential to obtain closed-form solutions or asymptotic solutions and meet an existing need for instructors and students in electromagnetic theory. The book covers various advanced mathematical methods used in the evaluation of the electromagnetic fields in rectangular, cylindrical and spherical geometries. The mathematics of special functions (i.e., Bessel, Hankel, Airy, Legendre, Error, etc.) are covered in depth, including appropriate Appendices. The author takes particular care to provide detailed explanations of auxiliary potentials, Hertz’s vectors, Debye potentials, as well as the use of Green functions, the Watson transformation and the method of steepest descent in the solution of electromagnetic problems. Overall, Advanced Electromagnetic Wave Propagation Methods is a good source for the many skills required in obtaining closed form and asymptotic solution, which in many instances cannot be obtained using computer codes of Maxwell’s equations. Thus, it provides an excellent training for preparing graduate students in their research work. This book is intended for a graduate course in electromagnetic theory for students in electrical engineering. Students in physics and professionals will also find it appropriate and useful.
Provides a comprehensive and unified treatment of radiation and propagation problems Presents a detailed explanation in the use of Green functions, the Watson transformation and the method of steepest descent as they apply to electromagnetic problems
Demonstrates various advanced mathematical techniques used in the evaluation of the electromagnetic fields
Details how to formulate and obtain a closed-form solution or an asymptotic solution
Includes appendices for Bessel, Legendre, Airy and Error functionsNote de contenu : 1. Maxwell’s Equations.
2. Radiation Fields.
3. Plane Waves.
4. Solutions to the Wave Equation.
5. Sturm-Liouville Equation And Green Functions.
6. Integral Transforms for Green Functions.
7. Some Mathematical Method.
8. Further Studies of Electromagnetic Waves in Rectangular Geometries.
9. Further Studies of Electromagnetic Waves in Cylindrical Geometries.
10. Further Studies of Electromagnetic Waves in Spherical Geometries.
11. Appendices.Advanced Electromagnetic Wave Propagation Methods [texte imprimé] / Guillermo Gonzalez, Auteur . - 1éd. . - [S.l.] : Francis :CRC Press, 2022 . - 702p. : Couverture externe,figures ; 24X16cm.
ISBN : 978-1-03-211400-2
Guillermo Gonzalez, PhD, is a professor emeritus in the Department of Electrical Engineering at the University of Miami. He earned an M.S. in electrical engineering from the University of Miami and a PhD from the University of Arizona. His research interests include RF and microwave electronics and electromagnetic theory.
Langues : Anglais moyen (ca.1100-1500) (enm) Langues originales : Anglais moyen (ca.1100-1500) (enm)
Catégories : 2 Science Mots-clés : Electromagnetic,plane waves Index. décimale : 539 Physique moderne : physique moléculaire, atomique, nucléaire, quantique Résumé : This textbook provides a solid foundation into many approaches that are used in the analysis of advanced electromagnetic wave propagation problems. The techniques discussed are essential to obtain closed-form solutions or asymptotic solutions and meet an existing need for instructors and students in electromagnetic theory. The book covers various advanced mathematical methods used in the evaluation of the electromagnetic fields in rectangular, cylindrical and spherical geometries. The mathematics of special functions (i.e., Bessel, Hankel, Airy, Legendre, Error, etc.) are covered in depth, including appropriate Appendices. The author takes particular care to provide detailed explanations of auxiliary potentials, Hertz’s vectors, Debye potentials, as well as the use of Green functions, the Watson transformation and the method of steepest descent in the solution of electromagnetic problems. Overall, Advanced Electromagnetic Wave Propagation Methods is a good source for the many skills required in obtaining closed form and asymptotic solution, which in many instances cannot be obtained using computer codes of Maxwell’s equations. Thus, it provides an excellent training for preparing graduate students in their research work. This book is intended for a graduate course in electromagnetic theory for students in electrical engineering. Students in physics and professionals will also find it appropriate and useful.
Provides a comprehensive and unified treatment of radiation and propagation problems Presents a detailed explanation in the use of Green functions, the Watson transformation and the method of steepest descent as they apply to electromagnetic problems
Demonstrates various advanced mathematical techniques used in the evaluation of the electromagnetic fields
Details how to formulate and obtain a closed-form solution or an asymptotic solution
Includes appendices for Bessel, Legendre, Airy and Error functionsNote de contenu : 1. Maxwell’s Equations.
2. Radiation Fields.
3. Plane Waves.
4. Solutions to the Wave Equation.
5. Sturm-Liouville Equation And Green Functions.
6. Integral Transforms for Green Functions.
7. Some Mathematical Method.
8. Further Studies of Electromagnetic Waves in Rectangular Geometries.
9. Further Studies of Electromagnetic Waves in Cylindrical Geometries.
10. Further Studies of Electromagnetic Waves in Spherical Geometries.
11. Appendices.Exemplaires (1)
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Titre : Advanced Problem Solving with Maple : A First Course Type de document : texte imprimé Auteurs : William P. Fox, Auteur ; William C. Bauldry, Auteur Mention d'édition : 1éd. Editeur : Francis :CRC Press Année de publication : 2019 Collection : TEXTBOOKS IN MATHEMATICS, ISSN 2018061709 Importance : 334p. Présentation : Couverture externe,tableaux,figures Format : 24X16cm ISBN/ISSN/EAN : 978-1-138-60185-7 Note générale : Dr. William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. Currently, he is an adjunct professor, Department of Mathematics, the College of William and Mary. He received his Ph.D. at Clemson University and has many publications and scholarly activities including twenty books and over one hundred and fifty journal articles.
William C. Bauldry, Prof. Emeritus and Adjunct Research Prof. of Mathematics at Appalachian State University, received his PhD in Approximation Theory from Ohio State. He has published many papers on pedagogy and technology, often using Maple, and has been the PI of several NSF-funded projects incorporating technology and modeling into math courses. He currently serves as Associate Director of COMAP’s Math Contest in Modeling (MCM).
Index:p.331Langues : Anglais moyen (ca.1100-1500) (enm) Langues originales : Anglais moyen (ca.1100-1500) (enm) Catégories : 2 Science Mots-clés : MATHÉMATIQUES,Probem solving,textbooks Index. décimale : 519 Résumé : Problem Solving is essential to solve real-world problems. Advanced Problem Solving with Maple: A First Course applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models. It is intended for a course introducing students to mathematical topics they will revisit within their further studies.
The authors present mathematical modeling and problem-solving topics using Maple as the computer algebra system for mathematical explorations, as well as obtaining plots that help readers perform analyses. The book presents cogent applications that demonstrate an effective use of Maple, provide discussions of the results obtained using Maple, and stimulate thought and analysis of additional applications.
Highlights:
The book’s real-world case studies prepare the student for modeling applications
Bridges the study of topics and applications to various fields of mathematics, science, and engineering
Features a flexible format and tiered approach offers courses for students at various levels
The book can be used for students with only algebra or calculus behind themNote de contenu : Preface
1 Introduction to Problem Solving and Maple
1.1 Problem Solving
1.2 Introduction to Maple
1.3 The Structure of Maple
1.4 General Introduction to Maple
1.5 Maple Training
1.6 Maple Applications Center
2 Introduction, Basic Concepts, and Techniques in Problem Solving with First-Order, Ordinary Differential Equations
2.1 Introduction
2.2 Applied First-Order Differential Equations and Solution Methods
2.3 Slope Fields and Qualitative Assessments
2.4 Analytical Solution of First-Order Ordinary Differential Equations
2.5 First-Order Ordinary Differential Equations and Maple
2.6 Numerical Methods for First-Order Ordinary Differential Equations
3 Introduction, Basic Concepts, and Techniques in Problem Solving with Systems of Ordinary Differential Equations
3.1 Systems of Differential Equations
3.2 Applied Systems of Differential Equations
3.3 Phase Portraits and Qualitative Assessment
3.4 Solving Homogeneous and Nonhomogeneous Systems of ODEs
3.5 Numerical Solutions to Systems of Ordinary Differential Equations
4 Problem Solving with Linear, Integer, and Mixed Integer Programming
4.1 Formulating Linear Programming Problems
4.2 Understanding Two-Variable Linear Programming: A Graphical Simplex
4.3 Solving the Linear Program: The Simplex Method and Maple
4.4 Linear Programming with Maple’s Commands
4.5 Sensitivity Analysis with Maple
4.6 Integer and Mixed Integer Problems with Maple
5 Model Fitting and Linear Regression
5.1 Introduction
5.2 The Different Curve Fitting Criterion
5.3 Plotting the Residuals for a Least-Squares Fit
5.4 Case Studies
6 Statistical and Probabilistic Problem Solving with Maple
6.1 Introduction
6.2 Basic Statistics: Univariate Data
6.3 Introduction to Classical Probability
6.4 Reliability in Engineering and Business
6.5 Case Study: Airlines Overbooking Model
6.6 Continuous Probability Models
6.7 The Normal Distribution
6.8 Confidence Intervals and Hypothesis Testing
7 Problem Solving with Simulation
7.1 Introduction
7.2 Monte Carlo Simulation
7.3 Probability and Monte Carlo Simulation Using Deterministic Behavior
7.4 Probability and Monte Carlo Simulation Using Probabilistic Behavior
7.5 Case Studies: Applied Simulation Models
Advanced Problem Solving with Maple : A First Course [texte imprimé] / William P. Fox, Auteur ; William C. Bauldry, Auteur . - 1éd. . - [S.l.] : Francis :CRC Press, 2019 . - 334p. : Couverture externe,tableaux,figures ; 24X16cm. - (TEXTBOOKS IN MATHEMATICS, ISSN 2018061709) .
ISBN : 978-1-138-60185-7
Dr. William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. Currently, he is an adjunct professor, Department of Mathematics, the College of William and Mary. He received his Ph.D. at Clemson University and has many publications and scholarly activities including twenty books and over one hundred and fifty journal articles.
William C. Bauldry, Prof. Emeritus and Adjunct Research Prof. of Mathematics at Appalachian State University, received his PhD in Approximation Theory from Ohio State. He has published many papers on pedagogy and technology, often using Maple, and has been the PI of several NSF-funded projects incorporating technology and modeling into math courses. He currently serves as Associate Director of COMAP’s Math Contest in Modeling (MCM).
Index:p.331
Langues : Anglais moyen (ca.1100-1500) (enm) Langues originales : Anglais moyen (ca.1100-1500) (enm)
Catégories : 2 Science Mots-clés : MATHÉMATIQUES,Probem solving,textbooks Index. décimale : 519 Résumé : Problem Solving is essential to solve real-world problems. Advanced Problem Solving with Maple: A First Course applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models. It is intended for a course introducing students to mathematical topics they will revisit within their further studies.
The authors present mathematical modeling and problem-solving topics using Maple as the computer algebra system for mathematical explorations, as well as obtaining plots that help readers perform analyses. The book presents cogent applications that demonstrate an effective use of Maple, provide discussions of the results obtained using Maple, and stimulate thought and analysis of additional applications.
Highlights:
The book’s real-world case studies prepare the student for modeling applications
Bridges the study of topics and applications to various fields of mathematics, science, and engineering
Features a flexible format and tiered approach offers courses for students at various levels
The book can be used for students with only algebra or calculus behind themNote de contenu : Preface
1 Introduction to Problem Solving and Maple
1.1 Problem Solving
1.2 Introduction to Maple
1.3 The Structure of Maple
1.4 General Introduction to Maple
1.5 Maple Training
1.6 Maple Applications Center
2 Introduction, Basic Concepts, and Techniques in Problem Solving with First-Order, Ordinary Differential Equations
2.1 Introduction
2.2 Applied First-Order Differential Equations and Solution Methods
2.3 Slope Fields and Qualitative Assessments
2.4 Analytical Solution of First-Order Ordinary Differential Equations
2.5 First-Order Ordinary Differential Equations and Maple
2.6 Numerical Methods for First-Order Ordinary Differential Equations
3 Introduction, Basic Concepts, and Techniques in Problem Solving with Systems of Ordinary Differential Equations
3.1 Systems of Differential Equations
3.2 Applied Systems of Differential Equations
3.3 Phase Portraits and Qualitative Assessment
3.4 Solving Homogeneous and Nonhomogeneous Systems of ODEs
3.5 Numerical Solutions to Systems of Ordinary Differential Equations
4 Problem Solving with Linear, Integer, and Mixed Integer Programming
4.1 Formulating Linear Programming Problems
4.2 Understanding Two-Variable Linear Programming: A Graphical Simplex
4.3 Solving the Linear Program: The Simplex Method and Maple
4.4 Linear Programming with Maple’s Commands
4.5 Sensitivity Analysis with Maple
4.6 Integer and Mixed Integer Problems with Maple
5 Model Fitting and Linear Regression
5.1 Introduction
5.2 The Different Curve Fitting Criterion
5.3 Plotting the Residuals for a Least-Squares Fit
5.4 Case Studies
6 Statistical and Probabilistic Problem Solving with Maple
6.1 Introduction
6.2 Basic Statistics: Univariate Data
6.3 Introduction to Classical Probability
6.4 Reliability in Engineering and Business
6.5 Case Study: Airlines Overbooking Model
6.6 Continuous Probability Models
6.7 The Normal Distribution
6.8 Confidence Intervals and Hypothesis Testing
7 Problem Solving with Simulation
7.1 Introduction
7.2 Monte Carlo Simulation
7.3 Probability and Monte Carlo Simulation Using Deterministic Behavior
7.4 Probability and Monte Carlo Simulation Using Probabilistic Behavior
7.5 Case Studies: Applied Simulation Models
Exemplaires (1)
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Titre : AI by Design : A Plan for Living with Artificial Intelligence Type de document : texte imprimé Auteurs : Catriona Campbell, Auteur Mention d'édition : 1éd. Editeur : Francis :CRC Press Année de publication : 2022 Collection : Chapman & Hall/CRC Artificial Intelligence and Robotics Series Importance : 144p. Présentation : Couverture externe,tableaux,figures Format : 20X13cm ISBN/ISSN/EAN : 978-1-03-219666-4 Langues : Anglais moyen (ca.1100-1500) (enm) Langues originales : Anglais moyen (ca.1100-1500) (enm) Catégories : 4 Sciences sociales et humaines Index. décimale : 006 Méthodes d'informatiques spéciales Résumé : This book introduces the reader to Artificial Intelligence and its importance to our future. Campbell uses behavioural psychology, explores technology, economics, real-life and historical examples to predict five future scenarios with AI. Illustrating through speculative fiction, she describes possible futures after AI exceeds human capabilities. We are at a tipping point in history and must plan to ensure a successful co-existence with artificial intelligence. This book explains how to design for a future with AI so that, rather than herald our downfall, it helps us achieve a new renaissance. AI by Design : A Plan for Living with Artificial Intelligence [texte imprimé] / Catriona Campbell, Auteur . - 1éd. . - [S.l.] : Francis :CRC Press, 2022 . - 144p. : Couverture externe,tableaux,figures ; 20X13cm. - (Chapman & Hall/CRC Artificial Intelligence and Robotics Series) .
ISBN : 978-1-03-219666-4
Langues : Anglais moyen (ca.1100-1500) (enm) Langues originales : Anglais moyen (ca.1100-1500) (enm)
Catégories : 4 Sciences sociales et humaines Index. décimale : 006 Méthodes d'informatiques spéciales Résumé : This book introduces the reader to Artificial Intelligence and its importance to our future. Campbell uses behavioural psychology, explores technology, economics, real-life and historical examples to predict five future scenarios with AI. Illustrating through speculative fiction, she describes possible futures after AI exceeds human capabilities. We are at a tipping point in history and must plan to ensure a successful co-existence with artificial intelligence. This book explains how to design for a future with AI so that, rather than herald our downfall, it helps us achieve a new renaissance. Exemplaires (1)
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Titre : AI for Physics Type de document : texte imprimé Auteurs : Volker Knecht, Auteur Mention d'édition : 1éd. Editeur : Francis :CRC Press Année de publication : 2023 Importance : 130p. Présentation : Couverture externe,figures Format : 20X13cm ISBN/ISSN/EAN : 978-1-03-215169-4 Langues : Anglais moyen (ca.1100-1500) (enm) Langues originales : Anglais moyen (ca.1100-1500) (enm) Catégories : 2 Science Mots-clés : SCIENCE,physique Index. décimale : 539 Physique moderne : physique moléculaire, atomique, nucléaire, quantique Résumé : Written in accessible language without mathematical formulas, this short book provides an overview of the wide and varied applications of artificial intelligence (AI) across the spectrum of physical sciences. Focusing in particular on AI's ability to extract patterns from data, known as machine learning (ML), the book includes a chapter on important machine learning algorithms and their respective applications in physics. It then explores the use of ML across a number of important sub-fields in more detail, ranging from particle, molecular and condensed matter physics, to astrophysics, cosmology and the theory of everything. The book covers such applications as the search for new particles and the detection of gravitational waves from the merging of black holes, and concludes by discussing what the future may hold Note de contenu : Part I: Opening
1. Gathering the Team Volker Knecht
2. Teamplay Volker Knecht
3. The Rules of the Game Volker Knecht and Kilian Hikaru Scheutwinkel
Part II: Machine-Learning the World from Subatomic to Cosmic Scales
4. AI for Particle Physics Mario Campanelli and Volker Knecht
5. AI for Molecular Physics Mayank Agrawal and Volker Knecht
6. AI for Condensed Matter Physics Álvaro Díaz Fernández, Chao Fang, and Volker Knecht
7. AI for Cosmology Kilian Hikaru Scheutwinkel, Daniel Grün, Bernard Jones, Jimena González Lozano, and Volker Knecht
Part III: Showdown
8. AI for Theory of Everything Yang-Hui He and Volker Knecht
9. Conclusion and Outlook Volker Knecht
Appendix:Table of contents for electronic supplement
Index:p.121AI for Physics [texte imprimé] / Volker Knecht, Auteur . - 1éd. . - [S.l.] : Francis :CRC Press, 2023 . - 130p. : Couverture externe,figures ; 20X13cm.
ISBN : 978-1-03-215169-4
Langues : Anglais moyen (ca.1100-1500) (enm) Langues originales : Anglais moyen (ca.1100-1500) (enm)
Catégories : 2 Science Mots-clés : SCIENCE,physique Index. décimale : 539 Physique moderne : physique moléculaire, atomique, nucléaire, quantique Résumé : Written in accessible language without mathematical formulas, this short book provides an overview of the wide and varied applications of artificial intelligence (AI) across the spectrum of physical sciences. Focusing in particular on AI's ability to extract patterns from data, known as machine learning (ML), the book includes a chapter on important machine learning algorithms and their respective applications in physics. It then explores the use of ML across a number of important sub-fields in more detail, ranging from particle, molecular and condensed matter physics, to astrophysics, cosmology and the theory of everything. The book covers such applications as the search for new particles and the detection of gravitational waves from the merging of black holes, and concludes by discussing what the future may hold Note de contenu : Part I: Opening
1. Gathering the Team Volker Knecht
2. Teamplay Volker Knecht
3. The Rules of the Game Volker Knecht and Kilian Hikaru Scheutwinkel
Part II: Machine-Learning the World from Subatomic to Cosmic Scales
4. AI for Particle Physics Mario Campanelli and Volker Knecht
5. AI for Molecular Physics Mayank Agrawal and Volker Knecht
6. AI for Condensed Matter Physics Álvaro Díaz Fernández, Chao Fang, and Volker Knecht
7. AI for Cosmology Kilian Hikaru Scheutwinkel, Daniel Grün, Bernard Jones, Jimena González Lozano, and Volker Knecht
Part III: Showdown
8. AI for Theory of Everything Yang-Hui He and Volker Knecht
9. Conclusion and Outlook Volker Knecht
Appendix:Table of contents for electronic supplement
Index:p.121Exemplaires (1)
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Titre : An Introduction to Fourier Analysis Type de document : texte imprimé Auteurs : Russell L. Herman, Auteur Mention d'édition : 1éd. Editeur : Francis :CRC Press Année de publication : 2022 Importance : 386p. Présentation : Couverture externe,tableaux,figures Format : 28X12cm ISBN/ISSN/EAN : 978-1-03-247725-1 Note générale : Dr. Russell L. Herman is a professor of Mathematics and Professor of Physics at the University of North Carolina Wilmington. A recipient of several teaching awards, he has taught introductory through graduate courses in several areas including applied mathematics, partial differential equations, mathematical physics, quantum theory, optics, cosmology, and general relativity. His research interests include topics in nonlinear wave equations, soliton perturbation theory, fluid dynamics, relativity, chaos and dynamical systems.
index:p.381
Bibloigraphy:p.379Langues : Anglais moyen (ca.1100-1500) (enm) Langues originales : Anglais moyen (ca.1100-1500) (enm) Catégories : 2 Science Mots-clés : Analysis,infinite series Index. décimale : 515 Résumé : This book helps students explore Fourier analysis and its related topics, helping them appreciate why it pervades many fields of mathematics, science, and engineering.
This introductory textbook was written with mathematics, science, and engineering students with a background in calculus and basic linear algebra in mind. It can be used as a textbook for undergraduate courses in Fourier analysis or applied mathematics, which cover Fourier series, orthogonal functions, Fourier and Laplace transforms, and an introduction to complex variables. These topics are tied together by the application of the spectral analysis of analog and discrete signals, and provide an introduction to the discrete Fourier transform. A number of examples and exercises are provided including implementations of Maple, MATLAB, and Python for computing series expansions and transforms.
After reading this book, students will be familiar with:
• Convergence and summation of infinite series
• Representation of functions by infinite series
• Trigonometric and Generalized Fourier series
• Legendre, Bessel, gamma, and delta functions
• Complex numbers and functions
• Analytic functions and integration in the complex plane
• Fourier and Laplace transforms.
• The relationship between analog and digital signals
Note de contenu : 1-Review of Sequences and Infinite Series.
2- Fourier Trigonometric Series.
3- Generalized Fourier Series and Function Spaces.
4- Complex Analysis.
5-Fourier and Laplace Transforms.
6- From continuous to Discrete Signals.
7-Signal Analysis.An Introduction to Fourier Analysis [texte imprimé] / Russell L. Herman, Auteur . - 1éd. . - [S.l.] : Francis :CRC Press, 2022 . - 386p. : Couverture externe,tableaux,figures ; 28X12cm.
ISBN : 978-1-03-247725-1
Dr. Russell L. Herman is a professor of Mathematics and Professor of Physics at the University of North Carolina Wilmington. A recipient of several teaching awards, he has taught introductory through graduate courses in several areas including applied mathematics, partial differential equations, mathematical physics, quantum theory, optics, cosmology, and general relativity. His research interests include topics in nonlinear wave equations, soliton perturbation theory, fluid dynamics, relativity, chaos and dynamical systems.
index:p.381
Bibloigraphy:p.379
Langues : Anglais moyen (ca.1100-1500) (enm) Langues originales : Anglais moyen (ca.1100-1500) (enm)
Catégories : 2 Science Mots-clés : Analysis,infinite series Index. décimale : 515 Résumé : This book helps students explore Fourier analysis and its related topics, helping them appreciate why it pervades many fields of mathematics, science, and engineering.
This introductory textbook was written with mathematics, science, and engineering students with a background in calculus and basic linear algebra in mind. It can be used as a textbook for undergraduate courses in Fourier analysis or applied mathematics, which cover Fourier series, orthogonal functions, Fourier and Laplace transforms, and an introduction to complex variables. These topics are tied together by the application of the spectral analysis of analog and discrete signals, and provide an introduction to the discrete Fourier transform. A number of examples and exercises are provided including implementations of Maple, MATLAB, and Python for computing series expansions and transforms.
After reading this book, students will be familiar with:
• Convergence and summation of infinite series
• Representation of functions by infinite series
• Trigonometric and Generalized Fourier series
• Legendre, Bessel, gamma, and delta functions
• Complex numbers and functions
• Analytic functions and integration in the complex plane
• Fourier and Laplace transforms.
• The relationship between analog and digital signals
Note de contenu : 1-Review of Sequences and Infinite Series.
2- Fourier Trigonometric Series.
3- Generalized Fourier Series and Function Spaces.
4- Complex Analysis.
5-Fourier and Laplace Transforms.
6- From continuous to Discrete Signals.
7-Signal Analysis.Exemplaires (1)
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