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Concrete Introduction to Real Analysis

Concrete Introduction to Real Analysis

          
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A Concrete Introduction to Analysis, Second Edition offers a major reorganization of the previous edition with the goal of making it a much more comprehensive and accessible for students.

The standard, austere approach to teaching modern mathematics with its emphasis on formal proofs can be challenging and discouraging for many students. To remedy this situation, the new edition is more rewarding and inviting. Students benefit from the text by gaining a solid foundational knowledge of analysis, which they can use in their fields of study and chosen professions.

The new edition capitalizes on the trend to combine topics from a traditional transition to proofs course with a first course on analysis. Like the first edition, the text is appropriate for a one- or two-semester introductory analysis or real analysis course. The choice of topics and level of coverage is suitable for mathematics majors, future teachers, and students studying engineering or other fields requiring a solid, working knowledge of undergraduate mathematics.

Key highlights:

  • Offers integration of transition topics to assist with the necessary background for analysis
  • Can be used for either a one- or a two-semester course
  • Explores how ideas of analysis appear in a broader context
  • Provides as major reorganization of the first edition
  • Includes solutions at the end of the book

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About the Book

Most volumes in analysis plunge students into a challenging new mathematical environment, replete with axioms, powerful abstractions, and an overriding emphasis on formal proofs. This can lead even students with a solid mathematical aptitude to often feel bewildered and discouraged by the theoretical treatment. Avoiding unnecessary abstractions to provide an accessible presentation of the material, A Concrete Introduction to Real Analysis supplies the crucial transition from a calculations-focused treatment of mathematics to a proof-centered approach. Drawing from the history of mathematics and practical applications, this volume uses problems emerging from calculus to introduce themes of estimation, approximation, and convergence. The book covers discrete calculus, selected area computations, Taylor's theorem, infinite sequences and series, limits, continuity and differentiability of functions, the Riemann integral, and much more. It contains a large collection of examples and exercises, ranging from simple problems that allow students to check their understanding of the concepts to challenging problems that develop new material. Providing a solid foundation in analysis, A Concrete Introduction to Real Analysis demonstrates that the mathematical treatments described in the text will be valuable both for students planning to study more analysis and for those who are less inclined to take another analysis class.


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Product Details
  • ISBN-13: 9781584886549
  • Publisher: Chapman & Hall/CRC
  • Binding: Hardcover
  • Language: English
  • Series Title: English
  • Weight: 572 gr
  • ISBN-10: 1584886544
  • Publisher Date: 01 May 2006
  • Height: 233 mm
  • No of Pages: 296
  • Spine Width: 22 mm
  • Width: 162 mm


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