types of functions in mathematics

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Real World Haskell

Author : Bryan O'Sullivan
ISBN : 0596554303
Genre : Computers
File Size : 51. 19 MB
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This easy-to-use, fast-moving tutorial introduces you to functional programming with Haskell. You'll learn how to use Haskell in a variety of practical ways, from short scripts to large and demanding applications. Real World Haskell takes you through the basics of functional programming at a brisk pace, and then helps you increase your understanding of Haskell in real-world issues like I/O, performance, dealing with data, concurrency, and more as you move through each chapter.

Spectral Functions In Mathematics And Physics

Author : Klaus Kirsten
ISBN : 9781420035469
Genre : Science
File Size : 20. 19 MB
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The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra. The same is not true, however, for situations where the spectra are not explicitly known. Over the last several years, the author and his colleagues have developed new, innovative methods for the exact analysis of a variety of spectral functions occurring in spectral geometry and under external conditions in statistical mechanics and quantum field theory. Spectral Functions in Mathematics and Physics presents a detailed overview of these advances. The author develops and applies methods for analyzing determinants arising when the external conditions originate from the Casimir effect, dielectric media, scalar backgrounds, and magnetic backgrounds. The zeta function underlies all of these techniques, and the book begins by deriving its basic properties and relations to the spectral functions. The author then uses those relations to develop and apply methods for calculating heat kernel coefficients, functional determinants, and Casimir energies. He also explores applications in the non-relativistic context, in particular applying the techniques to the Bose-Einstein condensation of an ideal Bose gas. Self-contained and clearly written, Spectral Functions in Mathematics and Physics offers a unique opportunity to acquire valuable new techniques, use them in a variety of applications, and be inspired to make further advances.

A Modern Perspective On Type Theory

Author : F.D. Kamareddine
ISBN : 9781402023354
Genre : Mathematics
File Size : 46. 89 MB
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This book provides an overview of type theory. The first part of the book is historical, yet at the same time, places historical systems in the modern setting. The second part deals with modern type theory as it developed since the 1940s, and with the role of propositions as types (or proofs as terms. The third part proposes new systems that bring more advantages together.

Canadian Journal Of Mathematics

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File Size : 29. 60 MB
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Mathematics Of Program Construction

Author : Eerke A. Boiten
ISBN : 9783540454427
Genre : Computers
File Size : 58. 65 MB
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Business Mathematics

Author : Trivedi Kashyap
ISBN : 8131732185
Genre : Business mathematics
File Size : 45. 24 MB
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A Text Book Of Mathematics Xii Vol 1

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ISBN : 8171338976
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