Perpustakaan ITB

Judul Penulis / Pembimbing TA Tahun Penerbit Perpustakaan

Foundations Real and Abstract Analysis

Nomor Panggil Matematika

515 BRI f


BRIDGES, Douglas



Tahun Terbit



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1 202013030 RO Koleksi Perpustakaan Matematika
2 202013031 RO Koleksi Perpustakaan Matematika


ISBN : 9781475771619
Materi Koleksi : Buku-Bacaan Wajib
Bahasa : Inggris
Subjek : Analysis
Keterangan : A complete course on metric, normed, and Hilbert spaces, including many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format, including elementary real analysis, Lebesgue integration on R, and an introduction to functional analysis. The book begins with a fast-paced course on real analysis, followed by an introduction to the Lebesgue integral. This provides a reference for later chapters as well as a preparation for students with only the typical sequence of undergraduate calculus courses as prerequisites. Other features include a chapter introducing functional analysis, the Hahn-Banach theorem and duality, separation theorems, the Baire Category Theorem, the Open Mapping Theorem and their consequences, and unusual applications. Of special interest are the 750 exercises, many with guidelines for their solutions, applications and extensions of the main propositions and theorems, pointers to new branches of the subject, and difficult challenges for the very best students.