Essentials of Stochastic Processes, Third Edition By Richard Durrett
English | EPUB | 2016 | 275 Pages | ISBN : 331945613X | 2.5 MB
Building upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader’s understanding.
Connected at Infinity II: A Selection of Mathematics by Indians By Rajendra Bhatia, C. S. Rajan, Ajit Iqbal Singh
English | PDF | 2013 | 193 Pages | ISBN : 9380250517 | 24.5 MB
In 2003 we published a collection of articles Connected at Infinity. The editors' aims, and their travails, were explained in the two paragraphs that we reproduce from the Preface to that volume: The Editors invited a few persons to write an article that should explain to the nonspecialist an important piece of work done by an Indian mathematician in the mid-twentieth century. The contributions of these mathematicians have been major landmarks in the subject and have inspired and influenced a lot of later work.
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Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds By Alexander Isaev
English | PDF | 2007 | 149 Pages | ISBN : 3540691510 | 2.4 MB
Kobayashi-hyperbolic manifolds are an object of active research in complex geometry. In this monograph the author presents a coherent exposition of recent results on complete characterization of Kobayashi-hyperbolic manifolds with high-dimensional groups of holomorphic automorphisms. These classification results can be viewed as complex-geometric analogues of those known for Riemannian manifolds with high-dimensional isotropy groups, that were extensively studied in the 1950s-70s.
Diophantine Approximation and Dirichlet Series By Hervé Queffélec, Martine Queffélec
English | PDF | 2013 | 243 Pages | ISBN : 9380250533 | 16.05 MB
This self-contained book will benefit beginners as well as researchers. It is devoted to Diophantine approximation, the analytic theory of Dirichlet series, and some connections between these two domains, which often occur through the Kronecker approximation theorem.
Advances in Human Aspects of Transportation: Proceedings of the AHFE 2017 International Conference on Human Factors in Transportation, July 17−21, 2017, The Westin Bonaventure Hotel, Los Angeles, California, USA By Neville A Stanton
English | PDF | 2018 | 1165 Pages | ISBN : 3319604406 | 103.7 MB
This book discusses the latest advances in research and development, design, operation and analysis of transportation systems and their complementary infrastructures. It reports on both theories and case studies on road and rail, aviation and maritime transportation. The book covers a wealth of topics, from accident analysis, vehicle intelligent control, and human-error and safety issues to next-generation transportation systems, model-based design methods, simulation and training techniques, and many more.
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Basic Ergodic Theory By M. G. Nadkarni
English | PDF | 2013 | 200 Pages | ISBN : 9380250436 | 14.26 MB
This book treats mainly some basic topics of ergodic theory in a revised form, bringing into focus its interactions with classical descriptive set theory more than is normally the practice. The presentation has a slow pace and can be read by anyone with a background in measure theory and point set topology. In particular, the first two chapters, the core of ergodic theory, can form a course of four to six lectures at third year B.Sc., M.Sc., or M.Phil. level in Indian Uni- versities. I have borrowed freely from existing texts ( with acknowledgements) but the overall theme of the book falls in the complement of these.
Numerical Methods for Scientists and Engineers, Third Edition By H. M. Antia
English | PDF | 2012 | 884 Pages | ISBN : 9380250401 | 87.13 MB
During the last twenty years since the publication of the first edition of the book, the speed as well as memory of computers have increased by a few orders of magnitude. However, the precision with which the floating point operations are being handled on these computers has not improved. As a result, the relevance of roundoff errors in numerical computations has increased substantially. In this book, an attempt is made to demonstrate that with proper care the errors do not grow very fast with the size of computational problem. Thus the book is probably more relevant today than it was twenty years back. The main aim of this book has been to not only provide suitable algorithms for numerical computations, but also to explain their limitations.
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Computational Statistical Physics: Lecture Notes, Guwahati SERC School By Sitangshu Bikas Santra, Purusattam Ray
English | PDF | 2011 | 291 Pages | ISBN : 9380250150 | 26.5 MB
Computer simulations are now standard tools in the study of physical processes. Moreover, computational studies, viewed as controlled experiments, have always been extremely useful. Recent advances in computer technology have trig- gered the use of various techniques which involve intricate applications of the knowledge of the concerned physical phenomena in large scale computations.
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Notes on Functional Analysis By Rajendra Bhatia
English | PDF | 2009 | 248 Pages | ISBN : 8185931895 | 13.2 MB
These notes are a record of a one semester course on Functional Analysis that I have given a few times to the second year students in the Master of Statistics program at the Indian Statistical Institute, Delhi. I first taught this course in 1987 to an exceptionally weIl prepared batch of five students, three of whom have gone on to become very successful mathematicians. Ten years after the course one of them suggested that my lecture notes could be useful for others. I had just finished writing a book in 1996 and was loathe to begin another so on afterwards.
Inequalities: An Approach Through Problems By B. J. Venkatachala
English | PDF | 2009 | 399 Pages | ISBN : 8185931887 | 19.7 MB
The International Mathematical Olympiad(IMO), which started as a simple contest among seven communist block countries in Europe in 1959, has now encompassed the whole world. With nearly 100 countries participating in this mega event, this has acquired a true international character.
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Functional Analysis By S. Kesavan
English | PDF | 2009 | 283 Pages | ISBN : 8185931879 | 17.4 MB
Functional analysis studies linear spaces provided with suitable topo- logical structures and (continuous) linear transformations between such spaces. It has far reaching applications in several disciplines. For in- stance, the modern theory of (partial) differential equations and the numerical approximation of their solutions rely a lot on functional ana- lytic techniques. Functional analysis is now an integral part of the curriculum in any post graduate course in Mathematics. Ideally it should be taught after having covered courses in linear algebra, real and complex analysis, and topology.
Surprises and Counterexamples in Real Function Theory By A. R. Rajwade, A. K. Bhandari
English | PDF | 2011 | 301 Pages | ISBN : 8185931712 | 21.8 MB
Our aim in this book is to consider a variety of intriguing, surprising and appealing topics, and nonroutine proofs of the usual results of real function theory. The reader is expected to have done a first course in real analysis (or advanced calculus), since the book assumes a knowledge of continuity and differentiability of functions, Rolle's theorem, the mean value theorem, Taylor expansion and Riemann integration. However, no sophisticated knowledge of analysis is required and a student at the masters or advanced undergraduate level should have no difficulty in going through the book.
Linear Algebra and Group Theory for Physicists, Second Edition By K. N. Srinivasa Rao
English | PDF | 601 Pages | ISBN : 818593164X | 34.44 MB
This introduction to Linear Algebra and Group Theory will, it is hoped, serve as a stepping stone to students of Physics, in particular of Theoretical Physics and possibly also of Mathematics, who wish to pur- sue advanced study and research. The first few chapters on elementary Group Theory and Linear Vector Spaces are included to make the book self-contained and mayaIso be used as instructional material for grad- uate and under-graduate classes. Since there are several good books on application of Group Theory to Physical Problems, the emphasis here is almost entirely on the theory which is presented with enough care and detail to enable the student to acquire a reasonably sound grasp of the fundamentals.
A Course in Applied Stochastic Processes By A. Goswami, B. V. Rao
English | PDF | 2006 | 226 Pages | ISBN : 8185931690 | 20.86 MB
In terms of pre-requisites, the book does not demand much. Although an exposure to elementary Probability Theory would help, it is by no means es- sential. Chapter 0 is meant to supply the necessary background in Probability. The only real pre-requisite is an exposure to undergraduate Linear Algebra and Calculus, and of course, the necessary motivation. We would like to highlight one interesting feature of the present book.
Introduction to Probability and Measure By K. R. Parthasarathy
English | PDF | 2005 | 352 Pages | ISBN : 8185931550 | 25.6 MB
In 1902 the French mathematician Henri Lebesgue wrote his famous dis- sertation Integrale, Longueur, Aire (Integral, Length and Area). Since 1914 the theory of the Lebesgue measure has become a part of the under- graduate curriculum in analysis in all the technologically advanced coun- tries of the world.
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Number Theory and Applications: Proceedings of the International Conferences on Number Theory and Cryptography By S. D. Adhikari, B. Ramakrishnan
English | PDF | 2009 | 285 Pages | ISBN : 8185931976 | 24 MB
The volume represents the proceedings of the two international con- ferences (on N umber Theory and Cryptography) held at the Harish- Chandra Research Institute, Allahabad, during December, 2006 and February 2007. As Bertrand Russell puts it "Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty cold and austere, like that of sculpture"; for people working in pure mathematics, specially in number theory, no more motivation will be needed to pursue research in the subject.
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Inorganic Scintillators for Detector Systems: Physical Principles and Crystal Engineering By Paul Lecoq, Alexander Gektin, Mikhail Korzhik
English | EPUB | 2017 | 408 Pages | ISBN : 3319455214 | 6.8 MB[/center]
This second edition features new chapters highlighting advances in our understanding of the behavior and properties of scintillators, and the discovery of new families of materials with light yield and excellent energy resolution very close to the theoretical limit. The book focuses on the discovery of next-generation scintillation materials and on a deeper understanding of fundamental processes.
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Lectures on the structure of algebraic groups and geometric applications By Michel Brion, Preena Samuel, V. Uma
English | PDF | 2013 | 125 Pages | ISBN : 9380250460 | 9.24 MB
The theory of algebraic groups has chiefly been developed along two distinct directions: linear (or, equivalently, affine) algebraic groups, and abelian varieties (complete, connected algebraic groups). This is made possible by a fundamental theorem of Chevalley: any con- nected algebraic group over an algebraically closed field is an ex- tension of an abelian variety by a connected linear algebraic group, and these are unique.
Piecewise Deterministic Processes in Biological Models By Prof. Ryszard Rudnicki, Prof. Marta Tyran-Kami?ska
English | PDF | 2017 | 177 Pages | ISBN : 331961293X | 4.8 MB
This book presents a concise introduction to piecewise deterministic Markov processes (PDMPs), with particular emphasis on their applications to biological models. Further, it presents examples of biological phenomena, such as gene activity and population growth, where different types of PDMPs appear: continuous time Markov chains, deterministic processes with jumps, processes with switching dynamics, and point processes. Subsequent chapters present the necessary tools from the theory of stochastic processes and semigroups of linear operators, as well as theoretical results concerning the long-time behaviour of stochastic semigroups induced by PDMPs and their applications to biological models.
