{"product_id":"mathematical-analysis-linear-and-metric-structures-and-continuity-9780817643751","title":"Mathematical Analysis: Linear and Metric Structures and Continuity","description":"\u003cp\u003e • Author(s): Mariano Giaquinta\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces.\u003c\/p\u003e \u003cp\u003eThe book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self-adjoint and normal operators. The second part examines the role of general topology in the context of metric spaces and includes the notions of homotopy and degree. The third and final part is a discussion on Banach spaces of continuous functions, Hilbert spaces and the spectral theory of compact operators.\u003c\/p\u003e \u003cp\u003e\u003cem\u003eMathematical Analysis: Linear and Metric Structures and Continuity\u003c\/em\u003e motivates the study of linear and metric structures with examples, observations, exercises, and illustrations. It may be used in the classroom setting or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering.\u003c\/p\u003e \u003cp\u003eOther books recently published by the authors include: \u003cem\u003eMathematical Analysis: Functions of One Variable\u003c\/em\u003e, and \u003cem\u003eMathematical Analysis: Approximation and Discrete Processes\u003c\/em\u003e. This book builds upon the discussion in these books to provide the reader with a strong foundation in modern-day analysis.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45276980052119,"sku":"9780817643751","price":5509.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780817643751.webp?v=1769287158","url":"https:\/\/atlanticbooks.com\/products\/mathematical-analysis-linear-and-metric-structures-and-continuity-9780817643751","provider":"Atlantic Books","version":"1.0","type":"link"}