E Book

Analysis I

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Foundations -- Convergence -- Continuous Functions -- Differentiation in One Variable -- Sequences of Functions.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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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

Basel : Birkhauser., 2005

Deskripsi Fisik

XV, 426 p.online resource.

Bahasa

English

ISBN/ISSN

9783764373238

Klasifikasi

515

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

1st ed. 2005.

Subjek

Mathematical analysis.
Analysis (Mathematics).
Analysis.

Info Detail Spesifik

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Pernyataan Tanggungjawab

Herbert Amann, Joachim Escher.

Versi lain/terkait

Lampiran Berkas

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