logo

Home

|

Products

|

9789356962026

Image of - Metric Spaces (Sie) | Paperback
Metric Spaces (Sie) | Paperback

Metric Spaces (Sie) | Paperback

by Shirali S.

This volume provides a complete introduction to metric space theory for undergraduates. It covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and includes results such as the Tietze-Urysohn extension theorem, Picard's theorem on ordinary differential equations, and the set of discontinuities of the pointwise limit of a sequence of continuous functions. Key features include: a full chapter on product metric spaces, including a proof of Tychonoffs Theorem, a wealth of examples and counter-examples from real analysis, sequence spaces and spaces of continuous functions, numerous exercises “ with solutions to most of them “ to test understanding. The only prerequisite is a familiarity with the basics of real analysis: the authors take care to ensure that no prior knowledge of measure theory, Banach spaces or Hilbert spaces is assumed. The material is developed at a leisurely pace and applications of the theory are discussed throughout, making this book ideal as a classroom text for third- and fourth-year undergraduates or as a self-study resource for graduate students and researchers.

Highlights

  • binding-icon

    9788184892505

    ISBN:

  • binding-icon

    Shirali S.

    Author:

  • binding-icon

    230

    Pages:

  • binding-icon

    500 gm

    Weight:

  • langauage-icon

    English

    Language:

  • date-icon

    2014

    Year:

  • edition-icon

    N/A

    Edition:

  • binding-icon

    Paperback

    Binding:

₹316

₹395

This volume provides a complete introduction to metric space theory for undergraduates. It covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and includes results such as the Tietze-Urysohn extension theorem, Picard's theorem on ordinary differential equations, and the set of discontinuities of the pointwise limit of a sequence of continuous functions. Key features include: a full chapter on product metric spaces, including a proof of Tychonoffs Theorem, a wealth of examples and counter-examples from real analysis, sequence spaces and spaces of continuous functions, numerous exercises “ with solutions to most of them “ to test understanding. The only prerequisite is a familiarity with the basics of real analysis: the authors take care to ensure that no prior knowledge of measure theory, Banach spaces or Hilbert spaces is assumed. The material is developed at a leisurely pace and applications of the theory are discussed throughout, making this book ideal as a classroom text for third- and fourth-year undergraduates or as a self-study resource for graduate students and researchers.

Loading...

Online store of medical books

Discover a comprehensive range of medical books at our online store. From anatomy and physiology to the latest clinical guidelines, we've got you covered.

Trusted by students, educators, and healthcare professionals worldwide. Browse top publishers and expert-authored titles in every medical specialty. Enjoy fast shipping, secure payments, and easy returns. Your one-stop destination for quality medical knowledge at your fingertips.

Whether you're preparing for exams or expanding your clinical expertise, our curated collection ensures you have the right resources at hand. Dive into detailed illustrations, case studies, and up-to-date research that enhance your understanding and practical skills.

We regularly update our inventory to include the latest editions and newly released titles, helping you stay current in the ever-evolving medical field. Our advanced search and filtering tools make finding the perfect book quick and hassle-free.

Join our community of lifelong learners and medical enthusiasts. Sign up for exclusive discounts, early access to new arrivals, and personalized book recommendations tailored to your professional interests.