Algebra and Analysis for Engineers and Scientists
"This is an intermediate level text, with exercises, whose avowed purpose is to provide the science and engineering graduate student with an appropriate modern mathematical (analysis and algebra) background in a succinct, but nontrivial, manner.... [T]he book is quite thorough and can serve as...
محفوظ في:
| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Boston, MA :
Birkhäuser Boston
2007.
Cham : Springer Nature |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Algebra and Analysis for Engineers and Scientists, Texte imprimé, 9780817647063 • Algebra and Analysis for Engineers and Scientists, Texte imprimé, 9780817672225 |
| LEADER | 05334nam a22004577a 4500 | ||
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| 020 | |a 9780817647070 | ||
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| 084 | |a 46-01. 2010 | ||
| 084 | |a 47-01. 2010 | ||
| 084 | |a 54-01. 2010 | ||
| 100 | 1 | |a Michel, Anthony N., |d 1935-2020. | |
| 245 | 1 | 0 | |a Algebra and Analysis for Engineers and Scientists |c Anthony N. Michel, Charles J. Herget. |
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c 2007. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Fundamental Concepts -- Algebraic Structures -- Vector Spaces and Linear Transformations -- Finite-Dimensional Vector Spaces and Matrices -- Metric Spaces -- Normed Spaces and Inner Product Spaces -- Linear Operators. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a "This is an intermediate level text, with exercises, whose avowed purpose is to provide the science and engineering graduate student with an appropriate modern mathematical (analysis and algebra) background in a succinct, but nontrivial, manner.... [T]he book is quite thorough and can serve as a text, for self-study, or as a reference." Mathematical Reviews Written for graduate and advanced undergraduate students in engineering and science, this classic book focuses primarily on set theory, algebra, and analysis. Useful as a course textbook, for self-study, or as a reference, the work is intended to: * provide readers with appropriate mathematical background for graduate study in engineering or science; * allow students in engineering or science to become familiar with a great deal of pertinent mathematics in a rapid and efficient manner without sacrificing rigor; * give readers a unified overview of applicable mathematics, enabling them to choose additional, advanced topical courses in mathematics more intelligently. Whereas these objectives for writing this book were certainly pertinent over twenty years ago when the work was first published, they are even more compelling now. Today s graduate students in engineering or science are expected to be more knowledgeable and sophisticated in mathematics than students in the past. Moreover, today s graduate students in engineering or science are expected to be familiar with a great deal of ancillary material (primarily in the computer science area), acquired in courses that did not even exist a couple of decades ago. The book is divided into three parts: set theory (Chapter 1), algebra (Chapters 2 4), and analysis (Chapters 5 7). The first two chapters deal with the fundamental concepts of sets, functions, relations and equivalence relations, and algebraic structures. Chapters 3 and 4 cover vector spaces and linear transformations, and finite-dimensional vector spaces and matrices. The last three chapters investigate metric spaces, normed and inner product spaces, and linear operators. Because of its flexible structure, Algebra and Analysis for Engineers and Scientists may be used either in a one- or two-semester course by deleting appropriate sections, taking into account the students backgrounds and interests. A generous number of exercises have been integrated into the text, and a section of references and notes is provided at the end of each chapter. Applications of algebra and analysis having a broad appeal are also featured, including topics dealing with ordinary differential equations, integral equations, applications of the contraction mapping principle, minimization of functionals, an example from optimal control, and estimation of random variables. Supplementary material for students and instructors is available at http://Michel.Herget.net. | ||
| 650 | |a Analyse fonctionnelle | ||
| 650 | |a Théorie des opérateurs | ||
| 650 | |a Topologie ensembliste | ||
| 650 | |a Espaces linéaires normés | ||
| 650 | |a Espaces métriques | ||
| 650 | |a Espaces vectoriels | ||
| 650 | |a Espaces à produit scalaire | ||
| 650 | |a Opérateurs linéaires | ||
| 700 | 1 | |a Herget, Charles J., |d 1937- |4 aut | |
| 776 | 0 | |t Algebra and Analysis for Engineers and Scientists |b Texte imprimé |z 9780817647063 | |
| 776 | 0 | |t Algebra and Analysis for Engineers and Scientists |b Texte imprimé |z 9780817672225 | |
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