S R Ramanujan's Books

High-Entropy Alloys

By: B.S. Murty,Jien-Wei Yeh,S. Ranganathan,P. P. Bhattacharjee

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High-Entropy Alloys

By: B.S. Murty,Jien-Wei Yeh,S. Ranganathan,P. P. Bhattacharjee

High-Entropy Alloys, Second Edition provides a complete review of the current state of the field of high entropy alloys (HEA). Building upon the first edition, this fully updated release includes new theoretical understandings of these materials, highlighting recent developments on modeling and new classes of HEAs, such as Eutectic HEAs and Dual phase HEAs. Due to their unique properties, high entropy alloys have attracted considerable attention from both academics and technologists. This book presents the fundamental knowledge, the spectrum of various alloy systems and their characteristics, key focus areas, and the future scope of the field in terms of research and technological applications. - Provides an up-to-date, comprehensive understanding on the current status of HEAs in terms of theoretical understanding and modeling efforts - Gives a complete idea on alloy design criteria of various classes of HEAs developed so far - Discusses the microstructure property correlations in HEAs in terms of structural and functional properties - Presents a comparison of HEAs with other multicomponent systems, like intermetallics and bulk metallic glasses

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390

Publisher

Elsevier

Published Date

ISBN 10

0128160683

ISBN 13

9780128160688

Handbook of Number Theory I

By: József Sándor,Dragoslav S. Mitrinovic,Borislav Crstici

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Handbook of Number Theory I

By: József Sándor,Dragoslav S. Mitrinovic,Borislav Crstici

This handbook covers a wealth of topics from number theory, special attention being given to estimates and inequalities. As a rule, the most important results are presented, together with their refinements, extensions or generalisations. These may be applied to other aspects of number theory, or to a wide range of mathematical disciplines. Cross-references provide new insight into fundamental research. Audience: This is an indispensable reference work for specialists in number theory and other mathematicians who need access to some of these results in their own fields of research.

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638

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Springer Science & Business Media

Published Date

ISBN 10

1402042159

ISBN 13

9781402042157

Number Theory

Fifth Conference of the Canadian Number Theory Association, August 17-22, 1996, Carleton University, Ottawa, Ontario, Canada

By: Canadian Number Theory Association. Conference,Rajiv Gupta,Kenneth S. Williams

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Number Theory

Fifth Conference of the Canadian Number Theory Association, August 17-22, 1996, Carleton University, Ottawa, Ontario, Canada

By: Canadian Number Theory Association. Conference,Rajiv Gupta,Kenneth S. Williams

This book contains papers presented at the Fifth Canadian Number Theory Association (CNTA) conference held at Carleton University Ottawa, Ontario. The invited speakers focused on arithmetic algebraic geometry and elliptic curves, diophantine problems, analytic number theory, and algebraic and computational number theory. The contributed talks represented a wide variety of areas in number theory. David Boyd gave an hour-long talk on Mahler's Measure and Elliptic Curves. This lecture was open to the public and attracted a large audience from outside the conference.

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426

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821809644

ISBN 13

9780821809648

Automorphic Forms on Adele Groups. (AM-83), Volume 83

By: Stephen S. Gelbart

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Automorphic Forms on Adele Groups. (AM-83), Volume 83

By: Stephen S. Gelbart

This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new and previously inaccessible results, and systematically develops explicit consequences and connections with the classical theory. The underlying theme is the decomposition of the regular representation of the adele group of GL(2). A detailed proof of the celebrated trace formula of Selberg is included, with a discussion of the possible range of applicability of this formula. Throughout the work the author emphasizes new examples and problems that remain open within the general theory. TABLE OF CONTENTS: 1. The Classical Theory 2. Automorphic Forms and the Decomposition of L2(PSL(2,R) 3. Automorphic Forms as Functions on the Adele Group of GL(2) 4. The Representations of GL(2) over Local and Global Fields 5. Cusp Forms and Representations of the Adele Group of GL(2) 6. Hecke Theory for GL(2) 7. The Construction of a Special Class of Automorphic Forms 8. Eisenstein Series and the Continuous Spectrum 9. The Trace Formula for GL(2) 10. Automorphic Forms on a Quaternion Algebr?

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280

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Princeton University Press

Published Date

ISBN 10

1400881617

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9781400881611

Mathematical Quantum Field Theory and Related Topics

Proceedings of the 1987 Montréal Conference Held September 1-5, 1987

By: Joel S. Feldman,Lon M. Rosen,Université de Montréal. Centre de recherches mathématiques,Natural Sciences and Engineering Research Council Canada

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Mathematical Quantum Field Theory and Related Topics

Proceedings of the 1987 Montréal Conference Held September 1-5, 1987

By: Joel S. Feldman,Lon M. Rosen,Université de Montréal. Centre de recherches mathématiques,Natural Sciences and Engineering Research Council Canada

Suitable for researchers and advanced graduate students in mathematical physics, this book constitutes the proceedings of a conference on mathematical quantum field theory and related topics. The conference was held at the Centre de Recherches Matheematiques of the Universite de Montreal in September 1987.

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280

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American Mathematical Soc.

Published Date

ISBN 10

0821860143

ISBN 13

9780821860144

Number Theory in the Spirit of Liouville

By: Kenneth S. Williams

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Number Theory in the Spirit of Liouville

By: Kenneth S. Williams

A gentle introduction to Liouville's powerful method in elementary number theory. Suitable for advanced undergraduate and beginning graduate students.

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307

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Cambridge University Press

Published Date

ISBN 10

1107002532

ISBN 13

9781107002531

Current Perspectives on American Literature

Poetry, Fiction, Drama, Literary Theory, Comparative Literature, Creative Writing and Mass Communication

By: S. Prakash Rao

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Current Perspectives on American Literature

Poetry, Fiction, Drama, Literary Theory, Comparative Literature, Creative Writing and Mass Communication

By: S. Prakash Rao

The Book Presents An Exhaustive Analysis Of Texts Prescribed For P.G. Studies In India And Abroad. It Contains Incisive Accounts And Surveys On Recent Trends In American Studies (Rtas), Indian Contribution To American Studies (Icas) And Current Issues In American Studies (Cias). It Provides Instructional Material And Self-Instructional Devices For Distance Education.* Lucid, Crisp And Critical Style. Prof. D.V.K. Raghavacharyala* Useful For Indian And Asian Universities. Prof. G.K. Gokak* Innovative Index For Ready Reckoning. Ciefl* All Different Types Of Fiction Are Covered. Prof. Subba RaoAlso Recommended For Use By Eeg Elective In Ignou, Mass Communication (Ftii) And Comparative Literature For Telugu University. P.G. Department Of English

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164

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Atlantic Publishers & Dist

Published Date

ISBN 10

8171565255

ISBN 13

9788171565252

Bounded Littlewood Identities

By: Eric M. Rains,S. Ole Warnaar

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Bounded Littlewood Identities

By: Eric M. Rains,S. Ole Warnaar

We describe a method, based on the theory of Macdonald–Koornwinder polynomials, for proving bounded Littlewood identities. Our approach provides an alternative to Macdonald’s partial fraction technique and results in the first examples of bounded Littlewood identities for Macdonald polynomials. These identities, which take the form of decomposition formulas for Macdonald polynomials of type (R, S) in terms of ordinary Macdonald polynomials, are q, t-analogues of known branching formulas for characters of the symplectic, orthogonal and special orthogonal groups. In the classical limit, our method implies that MacMahon’s famous ex-conjecture for the generating function of symmetric plane partitions in a box follows from the identification of GL(n, R), O(n) as a Gelfand pair. As further applications, we obtain combinatorial formulas for characters of affine Lie algebras; Rogers–Ramanujan identities for affine Lie algebras, complementing recent results of Griffin et al.; and quadratic transformation formulas for Kaneko–Macdonald-type basic hypergeometric series.

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115

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470446901

ISBN 13

9781470446901

Geometry and Complex Variables

By: S. Coen

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Geometry and Complex Variables

By: S. Coen

This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry,differential geometry, and analytic functions of one or several complex variables.Building upon the rich tradition of the University of Bologna's great mathematics teachers, thisvolume contains new studies on the history of mathematics, including the algebraic geometrywork of F. Enriques, B. Levi, and B. Segre ... complex function theory ideas of L. Fantappie,B. Levi, S. Pincherle, and G. Vitali ... series theory and logarithm theory contributions of P.Mengoli and S. Pincherle ... and much more. Additionally, the book lists all the University ofBologna's mathematics professors-from 1860 to 1940-with precise indications of eachcourse year by year.Including survey papers on combinatorics, complex analysis, and complex algebraic geometryinspired by Bologna's mathematicians and current advances, Geometry and ComplexVariables illustrates the classic works and ideas in the field and their influence on today'sresearch.

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520

Publisher

Routledge

Published Date

ISBN 10

1351445286

ISBN 13

9781351445283

Sums of Squares of Integers

By: Carlos J. Moreno,Samuel S. Wagstaff, Jr.

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Sums of Squares of Integers

By: Carlos J. Moreno,Samuel S. Wagstaff, Jr.

Sums of Squares of Integers covers topics in combinatorial number theory as they relate to counting representations of integers as sums of a certain number of squares. The book introduces a stimulating area of number theory where research continues to proliferate. It is a book of "firsts" - namely it is the first book to combine Liouville's elementary methods with the analytic methods of modular functions to study the representation of integers as sums of squares. It is the first book to tell how to compute the number of representations of an integer n as the sum of s squares of integers for any s and n. It is also the first book to give a proof of Szemeredi's theorem, and is the first number theory book to discuss how the modern theory of modular forms complements and clarifies the classical fundamental results about sums of squares. The book presents several existing, yet still interesting and instructive, examples of modular forms. Two chapters develop useful properties of the Bernoulli numbers and illustrate arithmetic progressions, proving the theorems of van der Waerden, Roth, and Szemeredi. The book also explains applications of the theory to three problems that lie outside of number theory in the areas of cryptanalysis, microwave radiation, and diamond cutting. The text is complemented by the inclusion of over one hundred exercises to test the reader's understanding.

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368

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CRC Press

Published Date

ISBN 10

1584884568

ISBN 13

9781584884569

The Theory of Probability

Explorations and Applications

By: Santosh S. Venkatesh

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The Theory of Probability

Explorations and Applications

By: Santosh S. Venkatesh

From classical foundations to modern theory, this comprehensive guide to probability interweaves mathematical proofs, historical context and detailed illustrative applications.

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830

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Cambridge University Press

Published Date

ISBN 10

1107024471

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9781107024472

The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions

Groups, Geometry, and Special Functions : Conference on the Legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic University, Brooklyn, New York

By: William Abikoff,Joan S. Birman,Kathryn Kuiken

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The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions

Groups, Geometry, and Special Functions : Conference on the Legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic University, Brooklyn, New York

By: William Abikoff,Joan S. Birman,Kathryn Kuiken

Wilhelm Magnus was an extraordinarily creative mathematician who made fundamental contributions to diverse areas, including group theory, geometry and special functions. This book contains the proceedings of a conference held in May 1992 at Polytechnic University, Brooklyn to honour the memory of Magnus. The focus of the book is on active areas of research where Magnus' influence can be seen. The papers range from expository articles to major new research, bringing together seemingly diverse topics and providing entry points to a variety of areas of mathematics.

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512

Publisher

American Mathematical Soc.

Published Date

ISBN 10

082185156X

ISBN 13

9780821851562

Graphs, Combinatorics, Algorithms and Applications

By: S. Arumugam,B. D. Acharya,S. B. Rao

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Graphs, Combinatorics, Algorithms and Applications

By: S. Arumugam,B. D. Acharya,S. B. Rao

Graphs, Combinatorics, Algorithms and Applications: The research papers contributed by leading experts in their respective field discusses current areas of research in graph theory such as: Graphoidal covers Hyper graphs Domination in graph Signed graphs Graph labelings and Theoretical computer science This volume will serve as an excellent reference for experts and research scholars working in Graph Theory and related topics.

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204

Publisher

Alpha Science Int'l Ltd.

Published Date

ISBN 10

8173196125

ISBN 13

9788173196126

Scalar, Vector, and Matrix Mathematics

Theory, Facts, and Formulas - Revised and Expanded Edition

By: Dennis S. Bernstein

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Scalar, Vector, and Matrix Mathematics

Theory, Facts, and Formulas - Revised and Expanded Edition

By: Dennis S. Bernstein

The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematics Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject. Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more. Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. Fully updated and expanded with new material on scalar and vector mathematics Covers the latest results in matrix theory Provides a list of symbols and a summary of conventions for easy and precise use Includes an extensive bibliography with back-referencing plus an author index

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1594

Publisher

Princeton University Press

Published Date

ISBN 10

1400888255

ISBN 13

9781400888252

Green Synthesis Of CDO Nanoparticles

By: Dr S. Gopi

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Green Synthesis Of CDO Nanoparticles

By: Dr S. Gopi

Synopsis - about 500 words (to enable the cover designer to understand the theme of the book and would not be printed on the book) Chapter I consists of the fundamentals of nanotechnology, properties of semiconductor oxide materials and its applications. Chapter II deals with the literature survey of different preparation methods of Cadmium Oxide nanoparticles. Also, the objectives and the significant of the present method of synthesis are explained. Chapter III presents the green synthesis procedure of CdO nanoparticles. The characterization techniques like XRD, UV-DRS, PL, FT-IR, FE-SEM, EDAX, HR-TEM are used to analyze the bare and different extract mediated synthesis of CdO nanoparticles. The procedures to perform the photocatalytic, antibacterial and antifungal activities are discussed in this chapter itself. Chapter IV focuses the preparation of CdO nanoparticles under four different leaves of extract such as without extract by combustion method (Part A), hibiscus rosa sinensis leaf extract (Part B) Aloe Barbadensis Miller extract a (Part C) and Azadirachta indica (neem) leaf extract (Part D). The significant change in particle size, morphology and optical properties are analyzed. Chapter V presents the preparation of CdO nanoparticles under three parts from root flowers such as Dalia flower extract (Part A), Polianthes tuberosa extract (Part B) and clitoria ternatea flower extract (Part C). The influences on extracts on morphological changes are also discussed in this chapter. Chapter VI contains the preparation of CdO nanoparticles under three parts from vegetables such as solanum tuberosum vegetable extract (Part A), sechium edule vegetable extract (Part B) and the Abelmoschus esculentus extract was found to influence more on morphological change and possessed fine crystallinity, uniform distribution, less agglomeration, clear tetrahedral shape. This formation reveals that the 30 ml of the Abelmoschus esculentus extract was suitable as a reducing agent. The XRD pattern confirms the cubic structure with average particle size of 89 nm to 18 nm (Part C). Chapter VII contains the preparation of CdO nanoparticles under three parts from natural flowers such as hibiscus rosa sinensis flower extract (Part A), nerium-oleander flower extract (Part B) and jasminum sambac flower extract (Part C). The influence of extracts on particle size and morphology are discussed. Chapter VIII deals with role of chemical surfactants like n-hepane, poly imide, SDS, PVB and PVA on morphology of CdO nanoparticles. The certain observed significant results due to influence of green extract samples are compared with the chemical surfactant based samples and it discussion in conclusion part of this thesis. Chapter IX deals with the application part like photocatalytic activity of methylene blue under solar irradiation. Also this chapter consists of antibacterial and fungal activity on Staphylococcus aureus, Escherichia coli and antifungal activity on Candida albicans and Aspergillus niger under the zone inhabitation of CdO nanoparticles. Chapter X focuses the summary of results and conclusion of the thesis.

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164

Publisher

BFC Publications

Published Date

ISBN 10

9355096895

ISBN 13

9789355096890

Function Field Arithmetic

By: Dinesh S Thakur

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Function Field Arithmetic

By: Dinesh S Thakur

This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. While it covers many topics treated in 'Basic Structures of Function Field Arithmetic' by David Goss, it complements that book with the inclusion of recent developments as well as the treatment of new topics such as diophantine approximation, hypergeometric functions, modular forms, transcendence, automata and solitons. There is also new work on multizeta values and log-algebraicity. The author has included numerous worked-out examples. Many open problems, which can serve as good thesis problems, are discussed.

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405

Publisher

World Scientific

Published Date

ISBN 10

9814482722

ISBN 13

9789814482721

Mathematics in Society and History

Sociological Inquiries

By: S. Restivo

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Mathematics in Society and History

Sociological Inquiries

By: S. Restivo

This is the first book by a sociologist devoted exclusively to a general sociology of mathematics. The author provides examples of different ways of thinking about mathematics sociologically. The survey of mathematical traditions covers ancient China, the Arabic-Islamic world, India, and Europe. Following the leads of classical social theorists such as Emile Durkheim, Restivo develops the idea that mathematical concepts and ideas are collective representations, and that it is mathematical communities that create mathematics, not individual mathematicians. The implications of the sociology of mathematics, and especially of pure mathematics, for a sociology of mind are also explored. In general, the author's objective is to explore, conjecture, suggest, and stimulate in order to introduce the sociological perspective on mathematics, and to broaden and deepen the still narrow, shallow path that today carries the sociology of mathematics. This book will interest specialists in the philosophy, history, and sociology of mathematics, persons interested in mathematics education, students of science and society, and people interested in current developments in the social and cultural analysis of science and mathematics.

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215

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401129444

ISBN 13

9789401129442

Automorphic Forms, Representation Theory and Arithmetic

Papers presented at the Bombay Colloquium 1979

By: S. Gelbart,G. Harder,K. Iwasawa,H. Jaquet,N.M. Katz,I. Piatetski-Shapiro,S. Raghavan,T. Shintani,H.M. Stark,D. Zagier

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Automorphic Forms, Representation Theory and Arithmetic

Papers presented at the Bombay Colloquium 1979

By: S. Gelbart,G. Harder,K. Iwasawa,H. Jaquet,N.M. Katz,I. Piatetski-Shapiro,S. Raghavan,T. Shintani,H.M. Stark,D. Zagier

International Colloquium an Automorphic Forms, Representation Theory and Arithmetic. Published for the Tata Institute of Fundamental Research, Bombay

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358

Publisher

Springer

Published Date

ISBN 10

3662007347

ISBN 13

9783662007341

Elliptic Curves (Second Edition)

By: James S Milne

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Elliptic Curves (Second Edition)

By: James S Milne

This book uses the beautiful theory of elliptic curves to introduce the reader to some of the deeper aspects of number theory. It assumes only a knowledge of the basic algebra, complex analysis, and topology usually taught in first-year graduate courses.An elliptic curve is a plane curve defined by a cubic polynomial. Although the problem of finding the rational points on an elliptic curve has fascinated mathematicians since ancient times, it was not until 1922 that Mordell proved that the points form a finitely generated group. There is still no proven algorithm for finding the rank of the group, but in one of the earliest important applications of computers to mathematics, Birch and Swinnerton-Dyer discovered a relation between the rank and the numbers of points on the curve computed modulo a prime. Chapter IV of the book proves Mordell's theorem and explains the conjecture of Birch and Swinnerton-Dyer.Every elliptic curve over the rational numbers has an L-series attached to it.Hasse conjectured that this L-series satisfies a functional equation, and in 1955 Taniyama suggested that Hasse's conjecture could be proved by showing that the L-series arises from a modular form. This was shown to be correct by Wiles (and others) in the 1990s, and, as a consequence, one obtains a proof of Fermat's Last Theorem. Chapter V of the book is devoted to explaining this work.The first three chapters develop the basic theory of elliptic curves.For this edition, the text has been completely revised and updated.

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319

Publisher

World Scientific

Published Date

ISBN 10

9811221855

ISBN 13

9789811221859

Matrix Mathematics

Theory, Facts, and Formulas (Second Edition)

By: Dennis S. Bernstein

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Matrix Mathematics

Theory, Facts, and Formulas (Second Edition)

By: Dennis S. Bernstein

Each chapter in this book describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly with cross references, citations to the literature, and illuminating remarks.

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1183

Publisher

Princeton University Press

Published Date

ISBN 10

0691140391

ISBN 13

9780691140391

High Entropy Materials

Processing, Properties, and Applications

By: Krishanu Biswas,Nilesh Prakash Gurao,Tanmoy Maiti,Rajiv S. Mishra

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High Entropy Materials

Processing, Properties, and Applications

By: Krishanu Biswas,Nilesh Prakash Gurao,Tanmoy Maiti,Rajiv S. Mishra

This book provides a detailed overview of high entropy materials and alloys, discussing their structure, the processing of bulk and nanostructured alloys as well as their mechanical and functional properties and applications. It covers the exponential growth in research which has occurred over the last decade, discussing novel processing techniques, estimation of mechanical, functional and physical properties, and utility of these novel materials for various applications. Given the expanding scope of HEAs in ceramics, polymers, thin films and coating, this book will be of interest to material scientists and engineers alike.

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476

Publisher

Springer Nature

Published Date

ISBN 10

9811939195

ISBN 13

9789811939198

The Wonder That Is Urdu

By: Krishna S. Dhir

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The Wonder That Is Urdu

By: Krishna S. Dhir

Language is a Developmental, social and cultural phenomenon. When Urdu started its literary journey, writing also treasured it and today we are proud of the great collection of Urdu books. Urdu lovers have also done a remarkable job in writing books on various topics and in conveying the standard writings to the Urdu circles by giving them solid ink. This book although written in English, is one such masterpiece by Krishna S. Dhir. However, it clearly reflects the love of the writer for the Urdu language and its literature. The beginning of this book is an excellent illustration of how the various apabhransha of South Asia interacted with Perso-Arabic and European languages, to give rise to various languages, including Urdu and how they grew up through the time of the Mughals and the British. How all the major religions of the world originated in the Asian continent and the observation of Sufis are highlighted in the second chapter of this book. The role of social and economic institutions and traditions in the evolution of Urdu has been shed light upon. Krishna S. Dhir has painstakingly elaborated upon the protest literature and extensively quoted Mir, Ghalib, Daagh Dehlvi, Sahir Ludhianvi, Faiz Ahmad, Ahmad Fraz and other poets to prove how Urdu poetry has been used to protest against siege, raids, imprisonment, imperialism and colonisation, and to express love and peace. Finally, the writer explores how Urdu is deployed by the diaspora that uses it.

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671

Publisher

Motilal Banarsidass

Published Date

ISBN 10

8120843010

ISBN 13

9788120843011

Pi

A Biography of the World's Most Mysterious Number

By: Alfred S. Posamentier,Ingmar Lehmann

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Pi

A Biography of the World's Most Mysterious Number

By: Alfred S. Posamentier,Ingmar Lehmann

The authors review Pi's history from prebiblical times to the twenty-first century and the many amusing and often mind-boggling attempts to estimate its precise value ...

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373

Publisher

Prometheus Books

Published Date

ISBN 10

1615920811

ISBN 13

9781615920815

Oxford Handbook of Caste

By: Surinder S. Jodhka,Jules Naudet

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Oxford Handbook of Caste

By: Surinder S. Jodhka,Jules Naudet

The Oxford Handbook of Caste brings together a wide range of essays encompassing various academic disciplines to lay the foundations for a new understanding of caste, capturing emerging research trends, imaginations, and the lived realities of caste.

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689

Publisher

Oxford University Press

Published Date

ISBN 10

0198896719

ISBN 13

9780198896715

Multiagent Systems

Introduction and Coordination Control

By: Magdi S. Mahmoud

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Multiagent Systems

Introduction and Coordination Control

By: Magdi S. Mahmoud

Multiagent systems (MAS) are one of the most exciting and the fastest growing domains in the intelligent resource management and agent-oriented technology, which deals with modeling of autonomous decisions making entities. Recent developments have produced very encouraging results in the novel approach of handling multiplayer interactive systems. In particular, the multiagent system approach is adapted to model, control, manage or test the operations and management of several system applications including multi-vehicles, microgrids, multi-robots, where agents represent individual entities in the network. Each participant is modeled as an autonomous participant with independent strategies and responses to outcomes. They are able to operate autonomously and interact pro-actively with their environment. In recent works, the problem of information consensus is addressed, where a team of vehicles communicate with each other to agree on key pieces of information that enable them to work together in a coordinated fashion. The problem is challenging because communication channels have limited range and there are possibilities of fading and dropout. The book comprises chapters on synchronization and consensus in multiagent systems. It shows that the joint presentation of synchronization and consensus enables readers to learn about similarities and differences of both concepts. It reviews the cooperative control of multi-agent dynamical systems interconnected by a communication network topology. Using the terminology of cooperative control, each system is endowed with its own state variable and dynamics. A fundamental problem in multi-agent dynamical systems on networks is the design of distributed protocols that guarantee consensus or synchronization in the sense that the states of all the systems reach the same value. It is evident from the results that research in multiagent systems offer opportunities for further developments in theoretical, simulation and implementations. This book attempts to fill this gap and aims at presenting a comprehensive volume that documents theoretical aspects and practical applications.

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330

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CRC Press

Published Date

ISBN 10

1000078108

ISBN 13

9781000078107

q-Fractional Calculus and Equations

By: Mahmoud H. Annaby,Zeinab S. Mansour

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q-Fractional Calculus and Equations

By: Mahmoud H. Annaby,Zeinab S. Mansour

This nine-chapter monograph introduces a rigorous investigation of q-difference operators in standard and fractional settings. It starts with elementary calculus of q-differences and integration of Jackson’s type before turning to q-difference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. Regular q-Sturm–Liouville theory is also introduced; Green’s function is constructed and the eigenfunction expansion theorem is given. The monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi. Hence fractional q-calculi of the types Riemann–Liouville; Grünwald–Letnikov; Caputo; Erdélyi–Kober and Weyl are defined analytically. Fractional q-Leibniz rules with applications in q-series are also obtained with rigorous proofs of the formal results of Al-Salam-Verma, which remained unproved for decades. In working towards the investigation of q-fractional difference equations; families of q-Mittag-Leffler functions are defined and their properties are investigated, especially the q-Mellin–Barnes integral and Hankel contour integral representation of the q-Mittag-Leffler functions under consideration, the distribution, asymptotic and reality of their zeros, establishing q-counterparts of Wiman’s results. Fractional q-difference equations are studied; existence and uniqueness theorems are given and classes of Cauchy-type problems are completely solved in terms of families of q-Mittag-Leffler functions. Among many q-analogs of classical results and concepts, q-Laplace, q-Mellin and q2-Fourier transforms are studied and their applications are investigated.

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333

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Springer

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ISBN 10

3642308988

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9783642308987

The Paradoxical Meeting of Depth Psychology and Physics

Reflections on the Unification of Psyche and Matter

By: Robert S. Matthews

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The Paradoxical Meeting of Depth Psychology and Physics

Reflections on the Unification of Psyche and Matter

By: Robert S. Matthews

This book unites the worlds of physics and depth psychology through analysis of carefully selected existing and new dream materials. Their interpretation by Matthews provides fertile ground for the unifying of the extreme opposites of psyche and matter and forms a continuation of the deep dialogue between acclaimed psychologist Carl Jung and Nobel physicist Wolfgang Pauli. What emerges is an individuation process where inner and outer worlds are intertwined through a succession of dream images, culminating with that of the ring i, the mathematical function at the heart of quantum physics. This mysterious function unites wave and particle and symbolically carries the quality of paradox. The occurrence of the ring i in Pauli’s and the author’s dreams suggests paradox is a necessary psychological state to experience a living union between psyche and matter. Analysis of accompanying materials further indicates the arising of a new world view where inner and outer, mind and matter, may again be seen as a unified whole. This book is an engaging read for academics and researchers in the field of Jungian psychology and will appeal to those interested in the novel application of quantum physics to philosophy, psychology and spirituality.

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171

Publisher

Taylor & Francis

Published Date

ISBN 10

1000608395

ISBN 13

9781000608397

An Introduction to the Theory of Numbers

By: Ivan Niven,Herbert S. Zuckerman,Hugh L. Montgomery

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An Introduction to the Theory of Numbers

By: Ivan Niven,Herbert S. Zuckerman,Hugh L. Montgomery

The Fifth Edition of one of the standard works on number theory, written by internationally-recognized mathematicians. Chapters are relatively self-contained for greater flexibility. New features include expanded treatment of the binomial theorem, techniques of numerical calculation and a section on public key cryptography. Contains an outstanding set of problems.

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548

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John Wiley & Sons

Published Date

ISBN 10

0471625469

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9780471625469

Analytic Inequalities

By: Dragoslav S. Mitrinovic

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Analytic Inequalities

By: Dragoslav S. Mitrinovic

The Theory of Inequalities began its development from the time when C. F. GACSS, A. L. CATCHY and P. L. CEBYSEY, to mention only the most important, laid the theoretical foundation for approximative meth ods. Around the end of the 19th and the beginning of the 20th century, numerous inequalities were proyed, some of which became classic, while most remained as isolated and unconnected results. It is almost generally acknowledged that the classic work "Inequali ties" by G. H. HARDY, J. E. LITTLEWOOD and G. POLYA, which appeared in 1934, transformed the field of inequalities from a collection of isolated formulas into a systematic discipline. The modern Theory of Inequalities, as well as the continuing and growing interest in this field, undoubtedly stem from this work. The second English edition of this book, published in 1952, was unchanged except for three appendices, totalling 10 pages, added at the end of the book. Today inequalities playa significant role in all fields of mathematics, and they present a very active and attractive field of research. J. DIEUDONNE, in his book "Calcullnfinitesimal" (Paris 1968), attri buted special significance to inequalities, adopting the method of exposi tion characterized by "majorer, minorer, approcher". Since 1934 a multitude of papers devoted to inequalities have been published: in some of them new inequalities were discovered, in others classical inequalities ,vere sharpened or extended, various inequalities ,vere linked by finding their common source, while some other papers gave a large number of miscellaneous applications.

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416

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Springer Science & Business Media

Published Date

ISBN 10

3642999700

ISBN 13

9783642999703

Number Theory

By: S. Shirali

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Number Theory

By: S. Shirali

Number Theory has fascinated mathematicians from the most ancient of times. A remarkable feature of number theory is the fact that there is something in it for everyone from puzzle enthusiasts, problem solvers and amatcur mathematicians to professional scientists and technologists.

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116

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Universities Press

Published Date

ISBN 10

8173714541

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9788173714542

Generating Functionology

By: Herbert S. Wilf

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Generating Functionology

By: Herbert S. Wilf

This is the Second Edition of the highly successful introduction to the use of generating functions and series in combinatorial mathematics. This new edition includes several new areas of application, including the cycle index of the symmetric group, permutations and square roots, counting polyominoes, and exact covering sequences. An appendix on using the computer algebra programs MAPLE(r) and Mathematica(r) to generate functions is also included. The book provides a clear, unified introduction to the basic enumerative applications of generating functions, and includes exercises and solutions, many new, at the end of each chapter. - Provides new applications on the cycle index of the symmetric group, permutations and square roots, counting polyominoes, and exact covering sequences - Features an Appendix on using MAPLE(r) and Mathematica (r) to generate functions - Includes many new exercises with complete solutions at the end of each chapter

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239

Publisher

Elsevier

Published Date

ISBN 10

0080571514

ISBN 13

9780080571515

Postcolonial Poetry in English

By: Rajeev S. Patke

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Postcolonial Poetry in English

By: Rajeev S. Patke

The Oxford Studies in Postcolonial Literatures series (general editor: Elleke Boehmer) offers stimulating and accessible introductions to definitive topics and key genres and regions within the rapidly diversifying field of postcolonial literary studies in English. Postcolonial Poetry in English provides a comprehensive introduction to the development of English poetry in all the regions that were once part of the British Empire. The idea of postcolonial poetry is held together by three factors: the global community constituted by English; the creative possibilities accessible through English; and patterns of literary development common to regions with a history of recent decolonization. In showing how diverse poetic traditions in English evolved from dependency to varying degrees of cultural self-confidence, the book answers two broad questions: how is postcolonial studies relevant to the interpretation of poetry, and how does poetry contribute to our idea of postcolonial writing? The book is divided into three parts: the first works out a method of analysis based on recent publications of outstanding interest; the second narrates the development of poetic traditions in Asia, Africa, and the Caribbean, and the settler colonies of Canada, South Africa, Australia, and New Zealand; the third analyses key motifs, such as the struggle for minority self-representation; the cultural politics of gender, modernism, and postmodernity; and the experience of migration and self-exile in contemporary Anglophone societies. Postcolonial Poetry in English provides a succinct and wide-ranging introduction to some of the most exciting poetic writing of the twentieth century. It is ideally suited for readers interested in world writing in English, contemporary literature, postcolonial writing, cultural studies, and postmodern culture.

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280

Publisher

OUP Oxford

Published Date

ISBN 10

0191538388

ISBN 13

9780191538384

Fuzzy Commutative Algebra

By: Davender S Malik,John Mordeson

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Fuzzy Commutative Algebra

By: Davender S Malik,John Mordeson

This book is the first to be devoted entirely to fuzzy abstract algebra. It presents an up-to-date version of fuzzy commutative algebra, and focuses on the connection between L-subgroups of a group, and L-subfields of a field. In particular, an up-to-date treatment of nonlinear systems of fuzzy intersection equations is given.

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424

Publisher

World Scientific

Published Date

ISBN 10

981449559X

ISBN 13

9789814495592

Topological Methods in Nonlinear Functional Analysis

By: Sankatha Prasad Singh,S. Thomeier,B. Watson

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Topological Methods in Nonlinear Functional Analysis

By: Sankatha Prasad Singh,S. Thomeier,B. Watson

Covers the proceedings of the session on Fixed Point Theory and Applications held at the University of Toronto, August 21-26, 1982. This work presents theorems on the existence of fixed points of nonexpansive mappings and the convergence of the sequence of iterates of nonexpansive and quasi-nonexpansive mappings.

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226

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821850237

ISBN 13

9780821850237

Book's by S R Ramanujan

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