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New Mathematical Monographs

This series delves into substantial areas of mathematics, offering insights that are both profound and accessible. Each volume meticulously synthesizes key research findings, bringing readers to the forefront of the field. Designed to be valuable for both newcomers and seasoned researchers, these books provide motivational material and broad mathematical context. They serve as essential resources for anyone seriously engaged with advanced mathematical topics.

Categorical Homotopy Theory
Convergence of One-parameter Operator Semigroups

Recommended Reading Order

  • Focusing on the classical theory of convergence of semigroups, this book explores its applications across pure and applied mathematics, particularly in mathematical biology. It provides real-world examples that introduce biological concepts in an accessible manner. With numerous short chapters, readers can easily navigate topics of interest, while the inclusion of 160 end-of-chapter exercises allows for self-assessment of comprehension. The work also features new results related to various biological phenomena, making it a valuable reference for students and researchers alike.

    Convergence of One-parameter Operator Semigroups
  • Categorical Homotopy Theory

    • 372 pages
    • 14 hours of reading

    Focusing on a categorical perspective, the book enhances the understanding of key concepts in homotopy theory, including derived functors, homotopy limits and colimits, and model categories. It aims to clarify and streamline these complex topics, making them more accessible for readers.

    Categorical Homotopy Theory