Introduction to Stochastic Calculus

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This book sheds new light on stochastic calculus, the branch of mathematics that is most widely applied in financial engineering and mathematical finance. The first book to introduce pathwise formulae for the stochastic integral, it provides a simple but rigorous treatment of the subject, including a range of advanced topics. The book discusses in-depth topics such as quadratic variation, Ito formula, and Emery topology. The authors briefly addresses continuous semi-martingales to obtain growth estimates and study solution of a stochastic differential equation (SDE) by using the technique of random time change. Later, by using Metivier–Pellaumail inequality, the solutions to SDEs driven by general semi-martingales are discussed. The connection of the theory with mathematical finance is briefly discussed and the book has extensive treatment on the representation of martingales as stochastic integrals and a second fundamental theorem of asset pricing. Intended for undergraduate- and beginning graduate-level students in the engineering and mathematics disciplines, the book is also an excellent reference resource for applied mathematicians and statisticians looking for a review of the topic.

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Ketersediaan

23/UP/02489

519.23 KAR i

PERPUSTAKAAN UNPAM (500)

Tersedia

Informasi Detail

Judul Seri

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No. Panggil

519.23 KAR i

Penerbit

SINGAPORE : Springer., 2018

Deskripsi Fisik

xii, 441 hlm.

Bahasa

English

ISBN/ISSN

978-981-10-8317-4

Klasifikasi

519.23

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

Ed. 1

Subjek

Stochastic Processes
Stochastic analysis
Mathematical statistics
Distribution (Probability theory)

Info Detail Spesifik

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Pernyataan Tanggungjawab

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Versi lain/terkait

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