Analysis I

Logical thinking, the analysis of complex relationships, the recognition of und- lying simple structures which are common to a multitude of problems these are the skills which are needed to do mathematics, and their development is the main goal of mathematics education. Of course, these skills canno...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Amann, Herbert, 1938-, Escher, Joachim, 1962- (مؤلف)
مؤلفون آخرون: Brookfield, Gary, 19..- (المترجم)
التنسيق: Livre numérique
اللغة:Anglais
منشور في: Basel : Birkhäuser Basel : Springer e-books [20..].
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
Variante du titre:Analysis 1
Edition sous un autre format:• Analysis I, Herbert Amann, Joachim Escher, 2005, Basel, Birkhäuser Verlag, 1 vol. (XV-426 p.), 3-7643-7153-6
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505 1 |a Foundations Convergence Continuous Functions Differentiation in One Variable Sequences of Functions 
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520 |a Logical thinking, the analysis of complex relationships, the recognition of und- lying simple structures which are common to a multitude of problems these are the skills which are needed to do mathematics, and their development is the main goal of mathematics education. Of course, these skills cannot be learned in a vacuum . Only a continuous struggle with concrete problems and a striving for deep understanding leads to success. A good measure of abstraction is needed to allow one to concentrate on the essential, without being distracted by appearances and irrelevancies. The present book strives for clarity and transparency. Right from the beg- ning, it requires from the reader a willingness to deal with abstract concepts, as well as a considerable measure of self-initiative. For these e?orts, the reader will be richly rewarded in his or her mathematical thinking abilities, and will possess the foundation needed for a deeper penetration into mathematics and its applications. Thisbookisthe?rstvolumeofathreevolumeintroductiontoanalysis.It- veloped from courses that the authors have taught over the last twenty six years at theUniversitiesofBochum,Kiel,Zurich,BaselandKassel.Sincewehopethatthis book will be used also for self-study and supplementary reading, we have included far more material than can be covered in a three semester sequence. This allows us to provide a wide overview of the subject and to present the many beautiful and important applications of the theory. We also demonstrate that mathematics possesses, not only elegance and inner beauty, but also provides e?cient methods for the solution of concrete problems 
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