It takes the average reader 5 hours and 48 minutes to read Applied Picard-Lefschetz Theory by Viktor Anatol’evich Vasil’ev
Assuming a reading speed of 250 words per minute. Learn more
Many important functions of mathematical physics are defined as integrals depending on parameters. The Picard-Lefschetz theory studies how analytic and qualitative properties of such integrals (regularity, algebraicity, ramification, singular points, etc.) depend on the monodromy of corresponding integration cycles. In this book, V. A. Vassiliev presents several versions of the Picard-Lefschetz theory, including the classical local monodromy theory of singularities and completeintersections, Pham's generalized Picard-Lefschetz formulas, stratified Picard-Lefschetz theory, and also twisted versions of all these theories with applications to integrals of multivalued forms. The author also shows how these versions of the Picard-Lefschetz theory are used in studying a variety ofproblems arising in many areas of mathematics and mathematical physics. In particular, he discusses the following classes of functions: volume functions arising in the Archimedes-Newton problem of integrable bodies; Newton-Coulomb potentials; fundamental solutions of hyperbolic partial differential equations; multidimensional hypergeometric functions generalizing the classical Gauss hypergeometric integral. The book is geared toward a broad audience of graduate students, research mathematiciansand mathematical physicists interested in algebraic geometry, complex analysis, singularity theory, asymptotic methods, potential theory, and hyperbolic operators.
Applied Picard-Lefschetz Theory by Viktor Anatol’evich Vasil’ev is 338 pages long, and a total of 87,204 words.
This makes it 114% the length of the average book. It also has 107% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 7 hours and 56 minutes to read Applied Picard-Lefschetz Theory aloud.
Applied Picard-Lefschetz Theory is suitable for students ages 12 and up.
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