Connected at infinity II: a selection of mathematics by Indians
Author: Rajendra Bhatia
Publisher: Springer
Published: 2013-01-01
Total Pages: 193
ISBN-13: 9386279568
DOWNLOAD EBOOK →Lanterna Rally
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Connected at Infinity
Author: Rajendra Bhatia
Publisher:
Published: 2003-01-01
Total Pages: 263
ISBN-13: 9788185931401
DOWNLOAD EBOOK →Measure and Integration
Author: S. Kesavan
Publisher: Springer
Published: 2019-02-25
Total Pages: 232
ISBN-13: 9811366780
DOWNLOAD EBOOK →This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introductory course. An awareness of basic real analysis and elementary topological notions, with special emphasis on the topology of the n-dimensional Euclidean space, is the pre-requisite for this book. Each chapter is provided with a variety of exercises for the students. The book is targeted to students of graduate- and advanced-graduate-level courses on the theory of measure and integration.
Applied Analysis in Biological and Physical Sciences
Author: Jim M. Cushing
Publisher: Springer
Published: 2016-12-01
Total Pages: 438
ISBN-13: 8132236408
DOWNLOAD EBOOK →The book contains recent developments and contemporary research in mathematical analysis and in its application to problems arising from the biological and physical sciences. The book is of interest to readers who wish to learn of new research in such topics as linear and nonlinear analysis, mathematical biology and ecology, dynamical systems, graph theory, variational analysis and inequalities, functional analysis, differential and difference equations, partial differential equations, approximation theory, and chaos. All papers were prepared by participants at the International Conference on Recent Advances in Mathematical Biology, Analysis and Applications (ICMBAA-2015) held during 4–6 June 2015 in Aligarh, India. A focal theme of the conference was the application of mathematics to the biological sciences and on current research in areas of theoretical mathematical analysis that can be used as sophisticated tools for the study of scientific problems. The conference provided researchers, academicians and engineers with a platform that encouraged them to exchange their innovative ideas in mathematical analysis and its applications as well as to form interdisciplinary collaborations. The content of the book is divided into three parts: Part I contains contributions from participants whose topics are related to nonlinear dynamics and its applications in biological sciences. Part II has contributions which concern topics on nonlinear analysis and its applications to a variety of problems in science, engineering and industry. Part III consists of contributions dealing with some problems in applied analysis.
U-Statistics, Mm-Estimators and Resampling
Author: Arup Bose
Publisher: Springer
Published: 2018-08-28
Total Pages: 174
ISBN-13: 9811322481
DOWNLOAD EBOOK →This is an introductory text on a broad class of statistical estimators that are minimizers of convex functions. It covers the basics of U-statistics and Mm-estimators and develops their asymptotic properties. It also provides an elementary introduction to resampling, particularly in the context of these estimators. The last chapter is on practical implementation of the methods presented in other chapters, using the free software R.
Stochastic Dynamics, Filtering and Optimization
Author: Debasish Roy
Publisher: Cambridge University Press
Published: 2017-05-04
Total Pages: 750
ISBN-13: 1316996174
DOWNLOAD EBOOK →Targeted at graduate students, researchers and practitioners in the field of science and engineering, this book gives a self-contained introduction to a measure-theoretic framework in laying out the definitions and basic concepts of random variables and stochastic diffusion processes. It then continues to weave into a framework of several practical tools and applications involving stochastic dynamical systems. These include tools for the numerical integration of such dynamical systems, nonlinear stochastic filtering and generalized Bayesian update theories for solving inverse problems and a new stochastic search technique for treating a broad class of non-convex optimization problems. MATLAB® codes for all the applications are uploaded on the companion website.
The Mathematics of India
Author: P. P. Divakaran
Publisher: Springer
Published: 2018-09-19
Total Pages: 441
ISBN-13: 9811317747
DOWNLOAD EBOOK →This book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India: the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry; a classical period inaugurated by Aryabhata’s invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal calculus of such functions. The main highlight of this book is a detailed examination of these critical phases and their interconnectedness, primarily in mathematical terms but also in relation to their intellectual, cultural and historical contexts. Recent decades have seen a renewal of interest in this history, as manifested in the publication of an increasing number of critical editions and translations of texts, as well as in an informed analytic interpretation of their content by the scholarly community. The result has been the emergence of a more accurate and balanced view of the subject, and the book has attempted to take an account of these nascent insights. As part of an endeavour to promote the new awareness, a special attention has been given to the presentation of proofs of all significant propositions in modern terminology and notation, either directly transcribed from the original texts or by collecting together material from several texts.
Indian National Bibliography
Pappus of Alexandria: Book 4 of the Collection
Author: Heike Sefrin-Weis
Publisher: Springer Science & Business Media
Published: 2010-04-06
Total Pages: 347
ISBN-13: 1849960054
DOWNLOAD EBOOK →Although not so well known today, Book 4 of Pappus’ Collection is one of the most important and influential mathematical texts from antiquity. The mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems – for example, squaring the circle; doubling the cube; and trisecting an angle – varying solution strategies, and the different mathematical styles within ancient geometry. This volume provides an English translation of Collection 4, in full, for the first time, including: a new edition of the Greek text, based on a fresh transcription from the main manuscript and offering an alternative to Hultsch’s standard edition, notes to facilitate understanding of the steps in the mathematical argument, a commentary highlighting aspects of the work that have so far been neglected, and supporting the reconstruction of a coherent plan and vision within the work, bibliographical references for further study.
The Man Who Knew Infinity
Author: Robert Kanigel
Publisher: Simon and Schuster
Published: 2016-04-26
Total Pages: 464
ISBN-13: 1476763496
DOWNLOAD EBOOK →A biography of the Indian mathematician Srinivasa Ramanujan. The book gives a detailed account of his upbringing in India, his mathematical achievements, and his mathematical collaboration with English mathematician G. H. Hardy. The book also reviews the life of Hardy and the academic culture of Cambridge University during the early twentieth century.
