An Introduction to Metric Spaces / Dhananjay Gopal (2021) / 978-0-367-49349-3

Public ISBD Titre : An Introduction to Metric Spaces Type de document : texte imprimé Auteurs : Dhananjay Gopal, Auteur ; Aniruddha Deshmukh, Auteur ; Ranadive, Abhay S., Auteur ; Shubham Yadav, Auteur Editeur : New York : CRC press Année de publication : 2021 Importance : 302 p. Présentation : couv:ill. Format : 25cm ISBN/ISSN/EAN : 978-0-367-49349-3 Langues : Anglais (eng) Catégories : 51 Mathématiques :517 Analyse mathématique :517.9 Equation différentielles. Equations intégrales fonctionnelles Mots-clés : Metric spaces Topological concepts Completeness Compactness Connectedness Continuous functions Fixed point theorems Mathematical analysis Geometric approach Topology Index. décimale : 517 Analyse Mathématiques Résumé : This book serves as a textbook for an introductory course in metric spaces for undergraduate or graduate students. The goal is to present the basics of metric spaces in a natural and intuitive way and encourage students to think geometrically while actively participating in the learning of this subject. In this book, the authors illustrated the strategy of the proofs of various theorems that motivate readers to complete them on their own. Bits of pertinent history are infused in the text, including brief biographies of some of the central players in the development of metric spaces. The textbook is divided into seven chapters that contain the main materials on metric spaces; namely, introductory concepts, completeness, compactness, connectedness, continuous functions and metric fixed point theorems with applications. Some of the noteworthy features of this book include - Diagrammatic illustrations that encourage readers to think geometrically - Focus on systematic strategy to generate ideas for the proofs of theorems - A wealth of remarks, observations along with a variety of exercises - Historical notes and brief biographies appearing throughout the text An Introduction to Metric Spaces [texte imprimé] / Dhananjay Gopal, Auteur ; Aniruddha Deshmukh, Auteur ; Ranadive, Abhay S., Auteur ; Shubham Yadav, Auteur . - New York : CRC press, 2021 . - 302 p. : couv:ill. ; 25cm. ISBN : 978-0-367-49349-3 Langues : Anglais (eng) Catégories : 51 Mathématiques :517 Analyse mathématique :517.9 Equation différentielles. Equations intégrales fonctionnelles Mots-clés : Metric spaces Topological concepts Completeness Compactness Connectedness Continuous functions Fixed point theorems Mathematical analysis Geometric approach Topology Index. décimale : 517 Analyse Mathématiques Résumé : This book serves as a textbook for an introductory course in metric spaces for undergraduate or graduate students. The goal is to present the basics of metric spaces in a natural and intuitive way and encourage students to think geometrically while actively participating in the learning of this subject. In this book, the authors illustrated the strategy of the proofs of various theorems that motivate readers to complete them on their own. Bits of pertinent history are infused in the text, including brief biographies of some of the central players in the development of metric spaces. The textbook is divided into seven chapters that contain the main materials on metric spaces; namely, introductory concepts, completeness, compactness, connectedness, continuous functions and metric fixed point theorems with applications. Some of the noteworthy features of this book include - Diagrammatic illustrations that encourage readers to think geometrically - Focus on systematic strategy to generate ideas for the proofs of theorems - A wealth of remarks, observations along with a variety of exercises - Historical notes and brief biographies appearing throughout the text

Exemplaires(1)

Code-barres	Date d'acquisition	Origine	Cote	Support	Localisation	Section	Disponibilité
FSSA7398	517.98 GOP1	Livre	BIB-SE	BIB-SE	Disponible	31/12/2024

An Introduction to Partial Differential Equations / Daniel J Arrigo / 978-3-031-22086-9

Public ISBD Titre : An Introduction to Partial Differential Equations Type de document : texte imprimé Auteurs : Daniel J Arrigo, Auteur Mention d'édition : 2?eme ?Edition Editeur : Cham : Springer International Publishing Collection : Synthesis Lectures on Mathematics & Statistics, ISSN 1938-1743 Importance : 1 volume (v-x, 203p.) Présentation : illustrations Format : 25 cm ISBN/ISSN/EAN : 978-3-031-22086-9 Langues : Anglais (eng) Catégories : 51 Mathématiques :517 Analyse mathématique :517.9 Equation différentielles. Equations intégrales fonctionnelles Mots-clés : Partial differential equations PDEs Boundary value problems Elliptic equations Parabolic equations Hyperbolic equations Wave equation Heat equation Laplace equation Method of characteristics Fourier series Separation of variables Green's functions Sobolev spaces Numerical methods for PDEs Index. décimale : 517 Analyse Mathématiques Résumé : This textbook is an introduction to the methods needed to solve partial differential equations (PDEs). Readers are introduced to PDEs that come from a variety of fields in engineering and the natural sciences. The chapters include the following topics: First Order PDEs, Second Order PDEs, Fourier Series, Separation of Variables, the Fourier Transform, and higher dimensional problems. Readers are guided through these chapters where techniques for solving first and second order PDEs are introduced. Each chapter ends with series of exercises to facilitate learning as well as illustrate the material presented in each chapter. In addition, this book: Introduces methods and techniques for solving first and second order PDEs Presents the main four PDEs (the advection equation, the diffusion equation, Laplace?s equation, and the wave equation), which are considered to be the cornerstone of Applied Mathematics Contains numerous exercises throughout to facilitate learning and has been class tested over the past 10 years An Introduction to Partial Differential Equations [texte imprimé] / Daniel J Arrigo, Auteur  . -  2?eme ?Edition . - Cham : Springer International Publishing, [s.d.] . - 1 volume (v-x, 203p.) : illustrations ; 25 cm. - (Synthesis Lectures on Mathematics & Statistics, ISSN 1938-1743) . ISBN : 978-3-031-22086-9 Langues : Anglais (eng) Catégories : 51 Mathématiques :517 Analyse mathématique :517.9 Equation différentielles. Equations intégrales fonctionnelles Mots-clés : Partial differential equations PDEs Boundary value problems Elliptic equations Parabolic equations Hyperbolic equations Wave equation Heat equation Laplace equation Method of characteristics Fourier series Separation of variables Green's functions Sobolev spaces Numerical methods for PDEs Index. décimale : 517 Analyse Mathématiques Résumé : This textbook is an introduction to the methods needed to solve partial differential equations (PDEs). Readers are introduced to PDEs that come from a variety of fields in engineering and the natural sciences. The chapters include the following topics: First Order PDEs, Second Order PDEs, Fourier Series, Separation of Variables, the Fourier Transform, and higher dimensional problems. Readers are guided through these chapters where techniques for solving first and second order PDEs are introduced. Each chapter ends with series of exercises to facilitate learning as well as illustrate the material presented in each chapter. In addition, this book: Introduces methods and techniques for solving first and second order PDEs Presents the main four PDEs (the advection equation, the diffusion equation, Laplace?s equation, and the wave equation), which are considered to be the cornerstone of Applied Mathematics Contains numerous exercises throughout to facilitate learning and has been class tested over the past 10 years

Exemplaires(1)

Code-barres	Date d'acquisition	Origine	Cote	Support	Localisation	Section	Disponibilité
FSSA7399	517.956 ARR	Livre	BIB-SE	BIB-SE	Disponible	31/12/2024

An Introduction to the Mathematical Theory of Inverse Problems / kirsch Andreas (2022) / 978-3-030-63345-5

Public ISBD Titre : An Introduction to the Mathematical Theory of Inverse Problems Type de document : texte imprimé Auteurs : kirsch Andreas, Auteur Mention d'édition : THIRD EDITION Editeur : new york [USA] : SPINGER Année de publication : 2022 Importance : 324p. Présentation : couv:ill. Format : 15.5 x 1.85 x 23.5 cm. ISBN/ISSN/EAN : 978-3-030-63345-5 Langues : Anglais (eng) Catégories : 51 Mathématiques :517 Analyse mathématique :517.9 Equation différentielles. Equations intégrales fonctionnelles Mots-clés : problèmes inverses  problèmes mal posés  régularisation  théorie de Tikhonov  mathématiques appliquées  équations aux dérivées partielles  analyse fonctionnelle  méthodes numériques  imagerie  géophysique  diffusion  analyse mathématique  problèmes non linéaires  Hadamard  optimisation Index. décimale : 517 Analyse Mathématiques Résumé : This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill-posed problems. Basic properties of regularization methods for linear ill-posed problems are studied by means of several simple analytical and numerical examples. The second part of the book presents two special nonlinear inverse problems in detail - the inverse spectral problem and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Then some theoretical results as well as numerical procedures for the inverse problems are discussed. The choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students. Basic knowledge of real analysis is assumed. In this new edition, the Factorization Method is included as one of the prominent members in this monograph. Since the Factorization Method is particularly simple for the problem of EIT and this field has attracted a lot of attention during the past decade a chapter on EIT has been added in this monograph as Chapter 5 while the chapter on inverse scattering theory is now Chapter 6.The main changes of this second edition compared to the first edition concern only Chapters 5 and 6 and the Appendix A. Chapter 5 introduces the reader to the inverse problem of electrical impedance tomography. An Introduction to the Mathematical Theory of Inverse Problems [texte imprimé] / kirsch Andreas, Auteur  . -  THIRD EDITION . - new york [USA] : SPINGER, 2022 . - 324p. : couv:ill. ; 15.5 x 1.85 x 23.5 cm. ISBN : 978-3-030-63345-5 Langues : Anglais (eng) Catégories : 51 Mathématiques :517 Analyse mathématique :517.9 Equation différentielles. Equations intégrales fonctionnelles Mots-clés : problèmes inverses  problèmes mal posés  régularisation  théorie de Tikhonov  mathématiques appliquées  équations aux dérivées partielles  analyse fonctionnelle  méthodes numériques  imagerie  géophysique  diffusion  analyse mathématique  problèmes non linéaires  Hadamard  optimisation Index. décimale : 517 Analyse Mathématiques Résumé : This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill-posed problems. Basic properties of regularization methods for linear ill-posed problems are studied by means of several simple analytical and numerical examples. The second part of the book presents two special nonlinear inverse problems in detail - the inverse spectral problem and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Then some theoretical results as well as numerical procedures for the inverse problems are discussed. The choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students. Basic knowledge of real analysis is assumed. In this new edition, the Factorization Method is included as one of the prominent members in this monograph. Since the Factorization Method is particularly simple for the problem of EIT and this field has attracted a lot of attention during the past decade a chapter on EIT has been added in this monograph as Chapter 5 while the chapter on inverse scattering theory is now Chapter 6.The main changes of this second edition compared to the first edition concern only Chapters 5 and 6 and the Appendix A. Chapter 5 introduces the reader to the inverse problem of electrical impedance tomography.

Exemplaires(1)

Code-barres	Date d'acquisition	Origine	Cote	Support	Localisation	Section	Disponibilité
FSSA7367	517.98 AND	Livre	BIB-SE	BIB-SE	Exclu du prêt	31/12/2024

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