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A Course in Real Analysis, Second Edition

McDonald, John N., Weiss, Neil A.

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ISBN 10: 0123877741 / ISBN 13: 9780123877741
Editorial: Academic Press, 2012
Nuevos Condición: New Encuadernación de tapa dura
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Descripción

2012. 2nd Edition. Hardcover. Provides a foundation of real analysis concepts and principles. Balancing theory and applications with a wealth of examples and exercises, this book takes a progressive approach of skill building to help students learn to absorb the abstract. It includes real world applications, probability theory, harmonic analysis, and dynamical systems theory. Num Pages: 688 pages, figures. BIC Classification: PBKB. Category: (U) Tertiary Education (US: College). Dimension: 241 x 195 x 28. Weight in Grams: 1286. 688 pages, illustrations. Provides a foundation of real analysis concepts and principles. Balancing theory and applications with a wealth of examples and exercises, this book takes a progressive approach of skill building to help students learn to absorb the abstract. It includes real world applications, probability theory, harmonic analysis, and dynamical systems theory. Cateogry: (U) Tertiary Education (US: College). BIC Classification: PBKB. Dimension: 241 x 195 x 28. Weight: 1204. . . . . . . N° de ref. de la librería V9780123877741

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Detalles bibliográficos

Título: A Course in Real Analysis, Second Edition

Editorial: Academic Press

Año de publicación: 2012

Encuadernación: Hardcover

Condición del libro:New

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Sinopsis:

The second edition of A Course in Real Analysis provides a solid foundation of real analysis concepts and principles, presenting a broad range of topics in a clear and concise manner. The book is excellent at balancing theory and applications with a wealth of examples and exercises. The authors take a progressive approach of skill building to help students learn to absorb the abstract. Real world applications, probability theory, harmonic analysis, and dynamical systems theory are included, offering considerable flexibility in the choice of material to cover in the classroom. The accessible exposition not only helps students master real analysis, but also makes the book useful as a reference.

  • New chapter on Hausdorff Measure and Fractals
  • Key concepts and learning objectives give students a deeper understanding of the material to enhance learning
  • More than 200 examples (not including parts) are used to illustrate definitions and results
  • Over 1300 exercises (not including parts) are provided to promote understanding
  • Each chapter begins with a brief biography of a famous mathematician

From the Back Cover:

Now in its second edition,A Course in Real Analysisprovides students with a modern, engaging, and thorough treatment of real analysis. Graduate and advanced undergraduate students, instructors, and researchers will appreciate the motivation of key concepts and wealth of examples, exercises, and applications offered in this book.

Professors McDonald and Weiss present the elements of measure and integration by first discussing the Lebesgue theory on the line and then the abstract theory. They go on to discuss elements of probability theory, differentiation and absolute continuity, signed and complex measures, and topological, metric, and normed spaces. The book concludes with valuable application chapters on harmonic analysis and measurable dynamical systems as well as a brand new chapter on Hausdorff measure and fractals.

Key features:

  • Motivation of key concepts the significance and rationale of main ideas are underscored throughout the text.
  • Detailed theoretical discussion proofs of most results are provided, while some are assigned as exercises to fully engage the reader.
  • Illustrative examples and abundant exercises roughly 200 examples and over 1300 widely varied exercises solidify understanding.
  • Diverse applications these appear throughout as examples and as entire sections or chapters, such as the applications to probability theory that pervade the text.
  • Biographies each chapter begins with a brief biography of a famous mathematician.

"Sobre este título" puede pertenecer a otra edición de este libro.

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Kennys.ie is the largest exporter of books from Ireland currently exporting to approximately 100 countries around the world. Kennys Bookshop houses hundreds of thousands of books and specialises in collection development and library services, supplying booksellers and state and university libraries on a global scale including the U.S.A.,Japan and Europe. Kennys.ie is Ireland's Largest Online Bookshop.

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