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1 Tohyama, Mikio Phase Analysis of Sound Fields I13180 2024 eBook  
2 Dhurandhar, Sanjeev Understanding Mathematical Concepts in Physics I13100 2024 eBook  
3 Cicogna, Giampaolo Exercises and Problems in Mathematical Methods of Physics I09803 2018 eBook  
4 Bera, Rajendra K The Amazing World of Quantum Computing I09005 2020 eBook  
5 Cicogna, Giampaolo Exercises and Problems in Mathematical Methods of Physics I08828 2020 eBook  
6 Lokshin, Alexander A Tauberian Theory of Wave Fronts in Linear Hereditary Elasticity I08626 2020 eBook  
7 Cohen Tenoudji, Fr??d??ric Analog and Digital Signal Analysis I08545 2016 eBook  
8 Cicogna, Giampaolo Metodi matematici della Fisica I07356 2015 eBook  
9 Cicogna, Giampaolo Metodi matematici della Fisica I06219 2008 eBook  
10 Kido, Ken'iti Digital Fourier Analysis: Advanced Techniques I05765 2015 eBook  
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TitlePhase Analysis of Sound Fields : A System-Theoretical Approach
Author(s)Tohyama, Mikio
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXVII, 318 p. 159 illus., 4 illus. in color : online resource
Abstract NoteThis book deals with the phase properties in the context such as sound fields in rooms from a perspective of transfer functions for sound paths. Phase analysis, i.e., investigations of zeros of transfer functions, is a qualitative or system theoretic approach to sound fields rather than the wave-theoretic power spectral analysis. The examination of phase responses offers new insights into sound fields and yields results that the standard power spectral analysis cannot provide. This book presents experimental data and numerical examples based on the mathematical formulations. It shows the mathematical formulations of acoustics and communication systems for engineers and physicists to get familiar with the basics of science. Chapters 1???5 provide the theoretical basis on the system theoretic approach to sound fields where Chapters 1 and 2 are introductions to discrete acoustic systems, Chapters 3???5 summarize wave equations, geometrical and random theories of room acoustics, and Chapters 6???10 develop details of transfer functions in sound
ISBN,Price9783031678103
Keyword(s)1. ACOUSTICS 2. ARCHITECTURAL ACOUSTICS 3. EBOOK 4. EBOOK - SPRINGER 5. FOURIER ANALYSIS
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TitleUnderstanding Mathematical Concepts in Physics : Insights from Geometrical and Numerical Approaches
Author(s)Dhurandhar, Sanjeev
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXVI, 351 p. 57 illus., 42 illus. in color : online resource
Abstract NoteModern mathematics has become an essential part of today???s physicist???s arsenal and this book covers several relevant such topics. The primary aim of this book is to present key mathematical concepts in an intuitive way with the help of geometrical and numerical methods - understanding is the key. Not all differential equations can be solved with standard techniques. Examples illustrate how geometrical insights and numerical methods are useful in understanding differential equations in general but are indispensable when extracting relevant information from equations that do not yield to standard methods. Adopting a numerical approach to complex analysis it is shown that Cauchy???s theorem, the Cauchy integral formula, the residue theorem, etc. can be verified by performing hands-on computations with Python codes. Figures elucidate the concept of poles and essential singularities. Further the book covers topology, Hilbert spaces, Fourier transforms (discussing how fast Fourier transform works), modern differential geometry, Lie groups and Lie algebras, probability and useful probability distributions, and statistical detection of signals. Novel features include: (i) Topology is introduced via the notion of continuity on the real line which then naturally leads to topological spaces. (ii) Data analysis in a differential geometric framework and a general description of ??2 discriminators in terms of vector bundles. This book is targeted at physics graduate students and at theoretical (and possibly experimental) physicists. Apart from research students, this book is also useful to active physicists in their research and teaching
ISBN,Price9783031603945
Keyword(s)1. ANALYSIS 2. DIFFERENTIAL EQUATIONS 3. EBOOK 4. EBOOK - SPRINGER 5. FOURIER ANALYSIS 6. LIE GROUPS 7. MATHEMATICAL ANALYSIS 8. MATHEMATICAL PHYSICS 9. Theoretical, Mathematical and Computational Physics 10. TOPOLOGICAL GROUPS 11. Topological Groups and Lie Groups
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TitleExercises and Problems in Mathematical Methods of Physics
Author(s)Cicogna, Giampaolo
PublicationCham, Springer International Publishing, 2018.
DescriptionX, 182 p. 8 illus : online resource
Abstract NoteThis book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based. The exercises and problems are proposed not in a random order but rather in a sequence that maximizes their educational value. Each section and subsection starts with exercises based on first definitions, followed by groups of problems devoted to intermediate and, subsequently, more elaborate situations. Some of the problems are unavoidably "routine", but others bring to the forenontrivial properties that are often omitted or barely mentioned in textbooks. There are also problems where the reader is guided to obtain important results that are usually stated in textbooks without complete proofs. In all, some 350 solved problems covering all mathematical notions useful to physics are included. While the book is intended primarily for undergraduate students of physics, students of mathematics, chemistry, and engineering, as well as their teachers, will also find it of value.
ISBN,Price9783319761657
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. GROUP THEORY 7. Group Theory and Generalizations 8. INTEGRAL TRANSFORMS 9. Integral Transforms, Operational Calculus 10. Mathematical Methods in Physics 11. Operational calculus 12. OPERATOR THEORY 13. PHYSICS
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TitleThe Amazing World of Quantum Computing
Author(s)Bera, Rajendra K
PublicationSingapore, Springer Singapore, 2020.
DescriptionXVII, 265 p. 28 illus., 7 illus. in color : online resource
Abstract NoteThis book discusses the application of quantum mechanics to computing. It explains the fundamental concepts of quantum mechanics and then goes on to discuss various elements of mathematics required for quantum computing. Quantum cryptography, waves and Fourier analysis, measuring quantum systems, comparison to classical mechanics, quantum gates, and important algorithms in quantum computing are among the topics covered. The book offers a valuable resource for graduate and senior undergraduate students in STEM (science, technology, engineering, and mathematics) fields with an interest in designing quantum algorithms. Readers are expected to have a firm grasp of linear algebra and some familiarity with Fourier analysis.
ISBN,Price9789811524714
Keyword(s)1. ALGORITHMS 2. CLASSICAL MECHANICS 3. EBOOK 4. EBOOK - SPRINGER 5. FOURIER ANALYSIS 6. MECHANICS 7. QUANTUM COMPUTERS 8. Quantum computing 9. Quantum Field Theories, String Theory 10. QUANTUM FIELD THEORY 11. QUANTUM PHYSICS 12. STRING THEORY
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5.     
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TitleExercises and Problems in Mathematical Methods of Physics
Author(s)Cicogna, Giampaolo
PublicationCham, Springer International Publishing, 2020.
DescriptionXII, 218 p. 9 illus : online resource
Abstract NoteThis book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book. The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible.
ISBN,Price9783030594725
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. GROUP THEORY 7. Group Theory and Generalizations 8. INTEGRAL TRANSFORMS 9. Integral Transforms, Operational Calculus 10. Mathematical Methods in Physics 11. Operational calculus 12. OPERATOR THEORY 13. PHYSICS
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TitleTauberian Theory of Wave Fronts in Linear Hereditary Elasticity
Author(s)Lokshin, Alexander A
PublicationSingapore, Springer Singapore, 2020.
DescriptionXI, 136 p. 10 illus : online resource
Abstract NoteThe objective of this book is to construct a rigorous mathematical approach to linear hereditary problems of wave propagation theory and demonstrate the efficiency of mathematical theorems in hereditary mechanics. By using both real end complex Tauberian techniques for the Laplace transform, a classification of near-front asymptotics of solutions to considered equations is given???depending on the singularity character of the memory function. The book goes on to derive the description of the behavior of these solutions and demonstrates the importance of nonlinear Laplace transform in linear hereditary elasticity. This book is of undeniable value to researchers working in areas of mathematical physics and related fields
ISBN,Price9789811585784
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. INTEGRAL TRANSFORMS 5. Integral Transforms, Operational Calculus 6. MATHEMATICAL PHYSICS 7. MECHANICS 8. Mechanics, Applied 9. Operational calculus 10. Theoretical and Applied Mechanics
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7.     
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TitleAnalog and Digital Signal Analysis : From Basics to Applications
Author(s)Cohen Tenoudji, Fr??d??ric
PublicationCham, Springer International Publishing, 2016.
DescriptionXXIII, 608 p. 256 illus., 9 illus. in color : online resource
Abstract NoteThis book provides comprehensive, graduate-level treatment of analog and digital signal analysis suitable for course use and self-guided learning. This expert text guides the reader from the basics of signal theory through a range of application tools for use in acoustic analysis, geophysics, and data compression. Each concept is introduced and explained step by step, and the necessary mathematical formulae are integrated in an accessible and intuitive way. The first part of the book explores how analog systems and signals form the basics of signal analysis. This section covers Fourier series and integral transforms of analog signals, Laplace and Hilbert transforms, the main analog filter classes, and signal modulations. Part II covers digital signals, demonstrating their key advantages. It presents z and Fourier transforms, digital filtering, inverse filters, deconvolution, and parametric modeling for deterministic signals. Wavelet decomposition and reconstruction of non-stationary signals are also discussed. The third part of the book is devoted to random signals, including spectral estimation, parametric modeling, and Tikhonov regularization. It covers statistics of one and two random variables and the principles and methods of spectral analysis. Estimation of signal properties is discussed in the context of ergodicity conditions and parameter estimations, including the use of Wiener and Kalman filters. Two appendices cover the basics of integration in the complex plane and linear algebra. A third appendix presents a basic Matlab toolkit for computer signal analysis. This expert text provides both a solid theoretical understanding and tools for real-world applications. Presents the core principles of analog and digital signal analysis Discusses applications to geophysics, acoustic analysis, and data compression Features worked examples, problem sets, and extensive appendices
ISBN,Price9783319423821
Keyword(s)1. ACOUSTICS 2. Communications Engineering, Networks 3. EBOOK 4. EBOOK - SPRINGER 5. ELECTRICAL ENGINEERING 6. FOURIER ANALYSIS 7. IMAGE PROCESSING 8. Information and Communication, Circuits 9. INFORMATION THEORY 10. SIGNAL PROCESSING 11. Signal, Image and Speech Processing 12. Speech processing systems
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8.     
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TitleMetodi matematici della Fisica
Author(s)Cicogna, Giampaolo
PublicationMilano, Springer Milan, 2015.
DescriptionX, 258 pagg. 22 figg : online resource
Abstract NoteQuesto libro trae la sua origine dagli appunti preparati per le lezioni di Metodi Matematici della Fisica tenute al Dipartimento di Fisica dell'Universit?? di Pisa, e via via sistemati, raffinati e aggiornati nel corso di molti anni di insegnamento. L'intento generale ?? di fornire una presentazione per quanto possibile semplice e diretta dei metodi matematici basilari e rilevanti per la Fisica. Anche allo scopo di mantenere questo testo entro i limiti di un manuale di dimensioni contenute e di agevole consultazione, sono stati spesso sacrificati i dettagli tecnici delle dimostrazioni matematiche (o anzi le dimostrazioni per intero) e anche i formalismi eccessivi, che tendono a nascondere la vera natura dei problemi. Al contrario, si ?? cercato di evidenziare ??? per quanto possibile ??? le idee sottostanti e le motivazioni che conducono ai diversi procedimenti. L'obiettivo principale e quello di mettere in condizione chi ha letto questo libro di acquisire gli strumenti adatti e le conoscenze di base che gli permettano di affrontare senza difficolt?? anche testi pi?? avanzati e impegnativi. Questa nuova Edizione conserva la struttura generale della prima Edizione, ma ?? arricchita dall'inserimento di numerosi esempi (e controesempi), con nuove osservazioni e chiarimenti su tutti gli argomenti proposti: Serie di Fourier, Spazi di Hilbert, Operatori lineari, Funzioni di Variabile complessa, Trasformate di Fourier e di Laplace, Distribuzioni. Inoltre, le prime nozioni della Teoria dei Gruppi, delle Algebre di Lie e delle Simmetrie in Fisica (che erano confinate in una Appendice nella Prima Edizione) vengono ora proposte in una forma sensibilmente ampliata, con vari esempi in vista delle applicazioni alla Fisica. In particolare, due nuovi Capitoli sono dedicati allo studio delle propriet?? di simmetria dell'atomo di idrogeno e dell'oscillatore armonico in Meccanica Quantistica
ISBN,Price9788847056848
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. FUNCTIONAL ANALYSIS 5. Functions of a Complex Variable 6. FUNCTIONS OF COMPLEX VARIABLES 7. GROUP THEORY 8. Group Theory and Generalizations 9. Mathematical Methods in Physics 10. PHYSICS
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9.     
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TitleMetodi matematici della Fisica
Author(s)Cicogna, Giampaolo
PublicationMilano, Springer Milan, 2008.
DescriptionX, 242 pagg : online resource
Abstract NoteQuesto testo trae la sua origine da miei vecchi appunti, preparati per il corso di Metodi Matematici della Fisica e via via sistemati, raffinati e aggiornati nel corso di molti anni di insegnamento. L'obiettivo???? stato sempre quello di fornire una presentazione per quanto possibile semplice e diretta dei metodi matematici rilevanti per la Fisica: serie di Fourier, spazi di Hilbert, operatori lineari, funzioni di variabile complessa, trasformata di Fourier e di Laplace, distribuzioni. Oltre a questi argomenti di base, viene presentata, in Appendice, una breve introduzione alle prime nozioni di teoria dei gruppi, delle algebre di Lie e delle simmetrie in vista delle loro applicazioni alla Fisica. Anche allo scopo di mantenere il libro nei limiti ragionevoli di un manuale di dimensioni contenute e di agevole consultazione, sono stati spesso tralasciati i dettagli tecnici delle dimostrazioni matematiche (o anzi le dimostrazioni per intero) e tutti i formalismi eccessivi che spesso nascondono la vera natura del problema e del metodo necessario per affrontarlo. Al contrario, si???? cercato di chiarire le "idee sottostanti" ai diversi procedimenti; anche le applicazioni proposte sono quelle che meglio e piu' direttamente illustrano i procedimenti stessi, tralasciando altre applicazioni (Meccanica Quantistica, Elettromagnetismo, Equazioni alle Derivate Parziali, Funzioni Speciali, tanto per fare qualche esempio) che sconfinano in differenti discipline. Riassumendo, lo scopo principale e' quello di mettere in condizione chi legge questo libro di acquisire le conoscenze di base che gli permettano di affrontare senza difficolt?? anche testi ben pi?? avanzati e impegnativi
ISBN,Price9788847008342
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. FUNCTIONAL ANALYSIS 5. Functions of a Complex Variable 6. FUNCTIONS OF COMPLEX VARIABLES 7. GROUP THEORY 8. Group Theory and Generalizations 9. Mathematical Methods in Physics 10. PHYSICS
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10.    
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TitleDigital Fourier Analysis: Advanced Techniques
Author(s)Kido, Ken'iti
PublicationNew York, NY, Springer New York, 2015.
DescriptionXIII, 178 p. 100 illus. in color : online resource
Abstract NoteThis textbook is a thorough, accessible introduction to advanced digital Fourier analysis for advanced undergraduate and graduate students.??Assuming knowledge of the Fast Fourier Transform, this book covers advanced topics including the Hilbert transform, cepstrum analysis, and the two-dimensional Fourier transform. Saturated with clear, coherent illustrations, "Digital Fourier Analysis - Advanced Techniques" includes practice problems and thorough Appendices. As a central feature, the book includes interactive applets (available online) that mirror the illustrations.??These user-friendly applets animate concepts interactively, allowing the user to experiment with the underlying mathematics.??The applet source code in Visual Basic is provided online, enabling advanced students to tweak and change the programs for more sophisticated results. A complete, intuitive guide, "Digital Fourier Analysis - Advanced Techniques" is an essential reference for students in science and engineering
ISBN,Price9781493911271
Keyword(s)1. APPLIED MATHEMATICS 2. EBOOK 3. EBOOK - SPRINGER 4. ENGINEERING MATHEMATICS 5. FOURIER ANALYSIS 6. Mathematical and Computational Engineering 7. Mathematical Methods in Physics 8. Numeric Computing 9. NUMERICAL ANALYSIS 10. PHYSICS
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