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 #  AuthorTitleAccn#YearItem Type Claims
1 Sheldon M. Ross Introduction to probability models 026874 2019 Book  
2 Gopinath Kallianpur Stochastic filtering theory: Applications of Mathematics 026705 1980 Book  
3 Bernt Oksendal Stochastic differential equations: An Introduction with Applications 026706 2003 Book  
4 Hiroshi Sugita Probability and random number: A First Guide to Randomness 026255 2014 Book  
5 John B. Walsh Knowing the odds: An Introduction to Probability 026067 2012 Book  
6 Mou-Hsiung Chang Quantum stochastics 026054 2015 Book  
7 M. D. Springer Algebra of random variables 024671 1979 Book  
8 Henk Tijms Understanding probability : Chance rules in everyday life 020206 2004 Book  
9 E.T. Jaynes Probability theory : The logic of science 019356 2003 Book  
10 STIRZAKER, DAVID Elementary probability 009924 1994, 1996, 2003 Book  
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TitleIntroduction to probability models
Author(s)Sheldon M. Ross
Edition12th ed.
PublicationLondon, Academic press, 2019.
Descriptionxv, 826p.
ISBN,Price9780128143469 : $ 107.00(HB)
Classification519.21
Keyword(s)1. ELEMENTARY PROBABILITY MODELLING 2. PROBABILITY THEORY 3. STOCHASTIC PROCESSES
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026874   519.21/ROSS/026874  On Shelf    

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TitleStochastic filtering theory: Applications of Mathematics
Author(s)Gopinath Kallianpur
PublicationNew York, Springer-Verlag, 1980.
Descriptionxvi, 316p.
Series(Applications of Mathematics)
Abstract NoteThis book is based on a seminar given at the University of California at Los Angeles in the Spring of 1975. The choice of topics reflects my interests at the time and the needs of the students taking the course. Initially the lectures were written up for publication in the Lecture Notes series. How­ ever, when I accepted Professor A. V. Balakrishnan's invitation to publish them in the Springer series on Applications of Mathematics it became necessary to alter the informal and often abridged style of the notes and to rewrite or expand much of the original manuscript so as to make the book as self-contained as possible. Even so, no attempt has been made to write a comprehensive treatise on filtering theory, and the book still follows the original plan of the lectures. While this book was in preparation, the two-volume English translation of the work by R. S. Liptser and A. N. Shiryaev has appeared in this series. The first volume and the present book have the same approach to the sub­ ject, viz. that of martingale theory. Liptser and Shiryaev go into greater detail in the discussion of statistical applications and also consider inter­ polation and extrapolation as well as filtering.
ISBN,Price9780387904450 : Eur 129.99(HB)
Classification519.21
Keyword(s)1. STOCHASTIC CALCULUS 2. STOCHASTIC EQUATION 3. STOCHASTIC FILTERING THEORY 4. STOCHASTIC PROCESSES
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026705   519.21/KAL/026705  On Shelf    

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TitleStochastic differential equations: An Introduction with Applications
Author(s)Bernt Oksendal
Edition6th ed.
PublicationHeidelberg, Springer, 2003.
Descriptionxxxi, 379p.
Series(Universitext)
Abstract NoteThis book provides an introduction to the theory of stochastic partial differential equations (SPDEs) of evolutionary type. SPDEs are one of the main research directions in probability theory with several wide ranging applications. Many types of dynamics with stochastic influence in nature or man-made complex systems can be modelled by such equations. The theory of SPDEs is based both on the theory of deterministic partial differential equations, as well as on modern stochastic analysis. Whilst this volume mainly follows the ‘variational approach’, it also contains a short account on the ‘semigroup (or mild solution) approach’. In particular, the volume contains a complete presentation of the main existence and uniqueness results in the case of locally monotone coefficients. Various types of generalized coercivity conditions are shown to guarantee non-explosion, but also a systematic approach to treat SPDEs with explosion in finite time is developed. It is, so far, the only book where the latter and the ‘locally monotone case’ is presented in a detailed and complete way for SPDEs. The extension to this more general framework for SPDEs, for example, in comparison to the well-known case of globally monotone coefficients, substantially widens the applicability of the results.
ISBN,Price9783540047582 : Eur 51.99(PB)
Classification519.21
Keyword(s)1. DIFFUSION THEORY 2. MATHEMATICAL FINANCE 3. STOCHASTIC CALCULUS 4. STOCHASTIC DIFFERENTIAL EQUATIONS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026706   519.21/OKS/026706  On Shelf    

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TitleProbability and random number: A First Guide to Randomness
Author(s)Hiroshi Sugita
PublicationSingapore, World Scientific, 2014.
Descriptionxi, 125p
Abstract NoteThis is a book of elementary probability theory that includes a chapter on algorithmic randomness. It rigorously presents definitions and theorems in computation theory, and explains the meanings of the theorems by comparing them with mechanisms of the computer, which is very effective in the current computer age. Random number topics have not been treated by any books on probability theory, only some books on computation theory. However, the notion of random number is necessary for understanding the essential relation between probability and randomness. The field of probability has changed very much, thus this book will make and leave a big impact even to expert probabilists. Readers from applied sciences will benefit from this book because it presents a very proper foundation of the Monte Carlo method with practical solutions, keeping the technical level no higher than 1st year university calculus.
ISBN,Price9789813228252 : 48.00
Classification519.21
Keyword(s)1. COMPUTATION THEORY 2. MONTE CARLO METHODS 3. PROBABILITY THEORY 4. RANDOM NUMBERS 5. RANDOMNESS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026255   519.21/SUG/026255  On Shelf    

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TitleKnowing the odds: An Introduction to Probability
Author(s)John B. Walsh
PublicationProvidence, American Mathematical Society, 2012.
Descriptionxvi, 421p.
Series(Graduate Studies in Mathematics)
Abstract NoteThis book covers in a leisurely manner all the standard material that one would want in a full year probability course with a slant towards applications in financial analysis at the graduate or senior undergraduate honors level. It contains a fair amount of measure theory and real analysis built in but it introduces sigma-fields, measure theory, and expectation in an especially elementary and intuitive way. A large variety of examples and exercises in each chapter enrich the presentation in the text.
ISBN,Price9781470425852 : Rs. 1140.00(PB)
Classification519.21
Keyword(s)1. BROWNIAN MOTION 2. COVERGENCE 3. PROBABILITY 4. RANDOM VARIABLES
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026067   519.21/WAL/026067  On Shelf    

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TitleQuantum stochastics
Author(s)Mou-Hsiung Chang
PublicationCambridge, Cambridge University Press, 2015.
Descriptionxii, 412p.
Series(Cambridge Series in Statistical and Probabilistic Mathematics)
Abstract NoteDescription Contents Resources Courses About the Authors The classical probability theory initiated by Kolmogorov and its quantum counterpart, pioneered by von Neumann, were created at about the same time in the 1930s, but development of the quantum theory has trailed far behind. Although highly appealing, the quantum theory has a steep learning curve, requiring tools from both probability and analysis and a facility for combining the two viewpoints. This book is a systematic, self-contained account of the core of quantum probability and quantum stochastic processes for graduate students and researchers. The only assumed background is knowledge of the basic theory of Hilbert spaces, bounded linear operators, and classical Markov processes. From there, the book introduces additional tools from analysis, and then builds the quantum probability framework needed to support applications to quantum control and quantum information and communication. These include quantum noise, quantum stochastic calculus, stochastic quantum differential equations, quantum Markov semigroups and processes, and large-time asymptotic behavior of quantum Markov semigroups.
ISBN,Price9781107069190 : UKP 55.00(HB)
Classification519.21
Keyword(s)1. ERGODIC THEORY 2. QUANTUM MARKOV PROCESSES 3. QUANTUM PROBABILITY 4. QUANTUM STOCHASTIC
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026054   519.21/CHA/026054  On Shelf    

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TitleAlgebra of random variables
Author(s)M. D. Springer
PublicationNew York, John Wiley and Sons, 1979.
Descriptionxix, 470p.
ISBN,Price0.00(Xerox)
Classification519.21
Keyword(s)1. INTEGRAL TRANSFORMS 2. RANDOM VARIABLES 3. VARIABLES
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
024671   519.21/SPR/024671  On Shelf    

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TitleUnderstanding probability : Chance rules in everyday life
Author(s)Henk Tijms
PublicationCAMBRIDGE, USA, Cambridge University Press, 2004.
Description380p. : pb.
ISBN,Price0521540364 : BP 18.99
Classification519.21
Keyword(s)1. CHANCE 2. MATHEMATICAL ANALYSIS 3. PROBABILITY
Item TypeBook
Multi-Media Links
Examples and exercises in this book are inspired by material from the website "Chance News", which contains a wealth of material on probability and statistics
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
020206   519.21/TIJ  On Shelf    

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TitleProbability theory : The logic of science
Author(s)E.T. Jaynes;G. Larry Bretthorst (ed.)
PublicationCambridge, Cambridge University Press, 2003.
Descriptionxxix, 727p.
Contents NoteE.T. Jaynes died April 30, 1998. Before his death he requested G. Larry Bretthorst, the editor of this book, to finish and publish the book on probability theory.
ISBN,Price0521592712 : Sterling Pounds 45.00
Classification519.21
Keyword(s)1. DEDICATEE - SIR HAROLD JEFFREYS 2. EBOOK 3. EBOOK - CAMBRIDGE UNIVERSITY PRESS 4. PROBABILITY THEORY
Item TypeBook
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
019356   519.21/JAY/019356  On Shelf    
OB0853   519.21/JAY/  On Shelf    

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TitleElementary probability
Author(s)David Stirzaker
Edition2nd ed.: Acc.# 018418
PublicationCambridge, Cambridge University Press, 1994, 1996, 2003.
Descriptionx,406pp., Acc. 018418; 524p.
ISBN,Price0521566940 : Rs. 1450.00
Classification519.21
Keyword(s)1. PROBABILITIES 2. PROBABILITY THEORY
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
009924   519.21/STI/009924  On Shelf    
013117   519.21/STI/013117  Issued PD04: Dhruv Pandya 31/Oct/2022
018418   519.21/STI/018418  On Shelf    

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