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Algebra 1

Algebra 1

Ramji Lal

Springer Verlag, Singapore
2017
sidottu
This is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structures, namely groups, rings, fields, and arithmetic. Intended as a text for undergraduate and graduate students of mathematics, it discusses all major topics in algebra with numerous motivating illustrations and exercises to enable readers to acquire a good understanding of the basic algebraic structures, which they can then use to find the exact or the most realistic solutions to their problems.
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Algebra 2

Algebra 2

Ramji Lal

Springer Verlag, Singapore
2017
sidottu
This is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The section on linear algebra (chapters 1–5) does not require any background material from Algebra 1, except an understanding of set theory. Linear algebra is the most applicable branch of mathematics, and it is essential for students of science and engineering As such, the text can be used for one-semester courses for these students. The remaining part of the volume discusses Jordan and rational forms, general linear algebra (linear algebra over rings), Galois theory, representation theory (linear algebra over group algebras), and the theory of extension of groups follow linear algebra, and is suitable as a text for the second and third year students specializing in mathematics.
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Algebra 1

Algebra 1

Ramji Lal

Springer Verlag, Singapore
2018
nidottu
This is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structures, namely groups, rings, fields, and arithmetic. Intended as a text for undergraduate and graduate students of mathematics, it discusses all major topics in algebra with numerous motivating illustrations and exercises to enable readers to acquire a good understanding of the basic algebraic structures, which they can then use to find the exact or the most realistic solutions to their problems.
Vertaile hintoja
Algebra 2

Algebra 2

Ramji Lal

Springer Verlag, Singapore
2018
nidottu
This is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The section on linear algebra (chapters 1–5) does not require any background material from Algebra 1, except an understanding of set theory. Linear algebra is the most applicable branch of mathematics, and it is essential for students of science and engineering As such, the text can be used for one-semester courses for these students. The remaining part of the volume discusses Jordan and rational forms, general linear algebra (linear algebra over rings), Galois theory, representation theory (linear algebra over group algebras), and the theory of extension of groups follow linear algebra, and is suitable as a text for the second and third year students specializing in mathematics.
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Algebra 4

Algebra 4

Ramji Lal

Springer Verlag, Singapore
2021
sidottu
This book, the fourth book in the four-volume series in algebra, discusses Lie algebra and representation theory in detail. It covers topics such as semisimple Lie algebras, root systems, representation theory of Lie algebra, Chevalley groups and representation theory of Chevalley groups. Numerous motivating illustrations have been presented along with exercises, enabling readers to acquire a good understanding of topics which they can then use to find the exact or most realistic solutions to their problems.
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Algebra 4

Algebra 4

Ramji Lal

SPRINGER VERLAG, SINGAPORE
2022
nidottu
This book, the fourth book in the four-volume series in algebra, discusses Lie algebra and representation theory in detail. It covers topics such as semisimple Lie algebras, root systems, representation theory of Lie algebra, Chevalley groups and representation theory of Chevalley groups. Numerous motivating illustrations have been presented along with exercises, enabling readers to acquire a good understanding of topics which they can then use to find the exact or most realistic solutions to their problems.
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Algebra 3

Algebra 3

Ramji Lal

Springer Verlag, Singapore
2021
sidottu
This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss homology theory in an abelian category together with some important and fundamental applications in geometry, topology, algebraic geometry (including basics in abstract algebraic geometry), and group theory. The book will be of value to graduate and higher undergraduate students specializing in any branch of mathematics. The author has tried to make the book self-contained by introducing relevant concepts and results required. Prerequisite knowledge of the basics of algebra, linear algebra, topology, and calculus of several variables will be useful.
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Algebra 3

Algebra 3

Ramji Lal

SPRINGER VERLAG, SINGAPORE
2022
nidottu
This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss homology theory in an abelian category together with some important and fundamental applications in geometry, topology, algebraic geometry (including basics in abstract algebraic geometry), and group theory. The book will be of value to graduate and higher undergraduate students specializing in any branch of mathematics. The author has tried to make the book self-contained by introducing relevant concepts and results required. Prerequisite knowledge of the basics of algebra, linear algebra, topology, and calculus of several variables will be useful.
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Bhimrao Ramji Ambedkar

Bhimrao Ramji Ambedkar

Sarthak Jain

Notion Press
2021
pokkari
Dr. Bhimrao Ambedkar was an Indian jurist, scholar, political leader and a Buddhist revivalist. He was the Chief Architect of the Indian Constitution. He played a great role in framing of Indian Constitution. He was the first Law Minister of India. He spent his whole life fighting against Social discrimination and untouchability. He was posthumously awarded the highest civilian award: the Bharat Ratna, in 1990. Dr. Ambedkar is viewed as messiah of dalits and downtrodden in India. Though he was the son of large family of then called 'Untouchable' Mahar caste, still he managed to get the highest degree of education and scaled even higher political heights and wisdom. The inside pages contain an interesting and elevating account of how an average boy of a lowcaste and not so rich family fought against the discrimination and became the messiah of dalits and downtrodden in India. The book also gives its readers minute detail about his life and personality. We hope the book will prove successful in clinching the readers' interest.
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Bhimrao Ramji Ambedkar and the Question of Socialism in India

Bhimrao Ramji Ambedkar and the Question of Socialism in India

V. Geetha

Springer Nature Switzerland AG
2021
sidottu
This book offers a reading of Bhimrao Ambedkar’s engagement with the idea and practice of socialism in India by linking it to his lifelong political and philosophical concerns: the annihilation of the caste system, untouchability and the moral and philosophical systems that justify either. Rather than view his ideas through a socialist lens, the author suggests that it is important to measure the validity of socialist thought and practice in the Indian context, through his critique of the social totality. The book argues its case by presenting a broad and connected overview of his thought world and the global and local influences that shaped it. The themes that are taken up for discussion include: his understanding of the colonial rule and the colonial state; history and progress; nationalism and the questions he posed the socialists; his radical critique of the caste system and Brahmancal philosophies, and his unusual interpretation of Buddhism.
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Bhimrao Ramji Ambedkar and the Question of Socialism in India

Bhimrao Ramji Ambedkar and the Question of Socialism in India

V. Geetha

Springer Nature Switzerland AG
2022
nidottu
This book offers a reading of Bhimrao Ambedkar’s engagement with the idea and practice of socialism in India by linking it to his lifelong political and philosophical concerns: the annihilation of the caste system, untouchability and the moral and philosophical systems that justify either. Rather than view his ideas through a socialist lens, the author suggests that it is important to measure the validity of socialist thought and practice in the Indian context, through his critique of the social totality. The book argues its case by presenting a broad and connected overview of his thought world and the global and local influences that shaped it. The themes that are taken up for discussion include: his understanding of the colonial rule and the colonial state; history and progress; nationalism and the questions he posed the socialists; his radical critique of the caste system and Brahmancal philosophies, and his unusual interpretation of Buddhism.
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Sparse Regression Codes

Sparse Regression Codes

Ramji Venkataramanan; Sekhar Tatikonda; Andrew Barron

now publishers Inc
2019
nidottu
Developing increasingly computationally-efficient codes for communication and compression has been the major goal of information and coding theory. There have been significant advances towards this goal in the last couple of decades with the emergence of turbo codes, sparse-graph codes, and polar codes. The world has seen faster network speeds and greater storage due to many of these developments. A new class of codes, Sparse Regression Codes (SPARCs), are a promising class of codes for achieving the Shannon limits of a communication channel.This monograph presents a unified and comprehensive overview of sparse regression codes, covering theory, algorithms, and practical implementation aspects. Written by the world’s recognized experts in the field it describes the use of SPARCs for efficient communication over AWGN channels, for lossy compression and multi-terminal communication.Researchers and students in modern communication and network systems will find Sparse Regression Codes an essential resource in understanding these new techniques that will have a significant impact on such systems in the years to come.
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