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Allan C Peterson

    Discrete Fractional Calculus
    Pursuing the Good Life
    • Pursuing the Good Life

      • 341pages
      • 12 heures de lecture
      3,8(136)Évaluer

      Peterson takes readers on a lively tour of the sunny side of the psychological street. What are the roles played by positive emotions and happiness, by strengths of character, by optimism, and by good relationships with others? He explores such diverse topics as the difference between employment and work, the value of doing the right thing, and why books matter, among other subjects.

      Pursuing the Good Life
    • Discrete Fractional Calculus

      • 556pages
      • 20 heures de lecture

      This text offers a comprehensive treatment of discrete fractional calculus, serving as a valuable reference for experienced researchers and a solid starting point for students. Each chapter includes exercises, with select answers provided at the end of the book, fostering independent study and flexibility for various courses. The authors present a novel approach by simultaneously addressing fractional- and integer-order difference calculus across different time scales, including forward and backward difference operators. Readers will gain a foundational understanding of classical discrete calculus while exploring recent developments in the field. Chapters can be tailored to the student's background; for instance, those with prior knowledge in elementary real analysis may quickly cover the introductory Chapters 1-2 and proceed to Chapters 6-7, which delve into fractional boundary value problems (FBVPs). These chapters, alongside current literature referenced in the Bibliography, can support a seminar on FBVP theory. For a two-semester course, an in-depth exploration of Chapters 1-5 offers a thorough introduction to both discrete fractional and integer-order calculus.

      Discrete Fractional Calculus