-20%
Advanced Topics in Relation Algebras: Relation Algebras, Volume 2
Original price was: ₹8,639.00.₹6,912.00Current price is: ₹6,912.00.
The second volume of a pair that charts relation algebras from novice to expert level, this text brings the well-grounded reader to the frontiers of research. Building on the foundations established in the preceding Introduction to Relation Algebras, this volume advances the reader into the deeper mathematical results of the past few decades.
-20%
Advanced Topics in Relation Algebras: Relation Algebras, Volume 2
Original price was: ₹8,639.00.₹6,912.00Current price is: ₹6,912.00.
The second volume of a pair that charts relation algebras from novice to expert level, this text brings the well-grounded reader to the frontiers of research. Building on the foundations established in the preceding Introduction to Relation Algebras, this volume advances the reader into the deeper mathematical results of the past few decades.
-20%
Algebraic Methods in General Rough Sets
Original price was: ₹13,851.00.₹11,082.00Current price is: ₹11,082.00.
This unique collection of research papers offers a comprehensive and up-to-date guide to algebraic approaches to rough sets and reasoning with vagueness. It bridges important gaps, outlines intriguing future research directions, and connects algebraic approaches to rough sets with those for other forms of approximate reasoning. In addition, the book reworks algebraic approaches to axiomatic granularity. Given its scope, the book offers a valuable resource for researchers and teachers in the areas of rough sets and algebras of rough sets, algebraic logic, non classical logic, fuzzy sets, possibility theory, formal concept analysis, computational learning theory, category theory, and other formal approaches to vagueness and approximate reasoning. Consultants in AI and allied fields will also find the book to be of great practical value.
-20%
Algebraic Methods in General Rough Sets
Original price was: ₹13,851.00.₹11,082.00Current price is: ₹11,082.00.
This unique collection of research papers offers a comprehensive and up-to-date guide to algebraic approaches to rough sets and reasoning with vagueness. It bridges important gaps, outlines intriguing future research directions, and connects algebraic approaches to rough sets with those for other forms of approximate reasoning. In addition, the book reworks algebraic approaches to axiomatic granularity. Given its scope, the book offers a valuable resource for researchers and teachers in the areas of rough sets and algebras of rough sets, algebraic logic, non classical logic, fuzzy sets, possibility theory, formal concept analysis, computational learning theory, category theory, and other formal approaches to vagueness and approximate reasoning. Consultants in AI and allied fields will also find the book to be of great practical value.
-20%
An Excursion through Elementary Mathematics, Volume I: Real Numbers and Functions
Price range: ₹4,410.00 through ₹6,495.00
Combines an in-depth overview of the theory with problems presented at several Mathematical Olympiads around the world. Offers a comprehensive course on problem-solving techniques Presents a coherent development of mathematical ideas and methods behind problem solving Brings several classical, relevant results of various fields in mathematics Includes supplementary material: sn.pub/extras
-20%
An Excursion through Elementary Mathematics, Volume I: Real Numbers and Functions
Price range: ₹4,410.00 through ₹6,495.00
Combines an in-depth overview of the theory with problems presented at several Mathematical Olympiads around the world. Offers a comprehensive course on problem-solving techniques Presents a coherent development of mathematical ideas and methods behind problem solving Brings several classical, relevant results of various fields in mathematics Includes supplementary material: sn.pub/extras
-20%
An Introduction to the Language of Category Theory
Original price was: ₹7,075.00.₹5,661.00Current price is: ₹5,661.00.
Presents all the basic concepts of category theory without requiring any preliminary knowledge Employs friendly, less-formal language and notation to allow reader to focus more on the main concepts, which can be overwhelming for beginners Appropriate for advanced students in mathematics, computer science, physics, and related fields looking for an introduction to category theory Includes an example of the application of YonedaÂ’s lemma, not usually included in introductory texts Provides a good preparation for more advanced books on category theory Includes supplementary material: sn.pub/extras
-20%
An Introduction to the Language of Category Theory
Original price was: ₹7,075.00.₹5,661.00Current price is: ₹5,661.00.
Presents all the basic concepts of category theory without requiring any preliminary knowledge Employs friendly, less-formal language and notation to allow reader to focus more on the main concepts, which can be overwhelming for beginners Appropriate for advanced students in mathematics, computer science, physics, and related fields looking for an introduction to category theory Includes an example of the application of YonedaÂ’s lemma, not usually included in introductory texts Provides a good preparation for more advanced books on category theory Includes supplementary material: sn.pub/extras
-20%
An Invitation to General Algebra and Universal Constructions
Original price was: ₹8,639.00.₹6,912.00Current price is: ₹6,912.00.
Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors.
-20%
An Invitation to General Algebra and Universal Constructions
Original price was: ₹8,639.00.₹6,912.00Current price is: ₹6,912.00.
Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors.
-20%
Axiom of Choice
Original price was: ₹6,033.00.₹4,827.00Current price is: ₹4,827.00.
AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom, shunned by some, used indiscriminately by others. This treatise shows paradigmatically that: - Disasters happen without AC: Many fundamental mathematical results fail (being equivalent in ZF to AC or to some weak form of AC). - Disasters happen with AC: Many undesirable mathematical monsters are being created (e.g., non measurable sets and undeterminate games).
-20%
Axiom of Choice
Original price was: ₹6,033.00.₹4,827.00Current price is: ₹4,827.00.
AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom, shunned by some, used indiscriminately by others. This treatise shows paradigmatically that: - Disasters happen without AC: Many fundamental mathematical results fail (being equivalent in ZF to AC or to some weak form of AC). - Disasters happen with AC: Many undesirable mathematical monsters are being created (e.g., non measurable sets and undeterminate games).
-20%
Evolution Algebras and their Applications
Original price was: ₹4,990.00.₹3,993.00Current price is: ₹3,993.00.
Includes supplementary material: sn.pub/extras
-20%
Evolution Algebras and their Applications
Original price was: ₹4,990.00.₹3,993.00Current price is: ₹3,993.00.
Includes supplementary material: sn.pub/extras
-20%
From Groups to Categorial Algebra
Original price was: ₹6,033.00.₹4,827.00Current price is: ₹4,827.00.
This book gives a thorough and entirely self-contained, in-depth introduction to a specific approach to group theory, in a large sense of that word. The focus lie on the relationships which a group may have with other groups, via “universal properties”, a view on that group “from the outside”.
-20%
From Groups to Categorial Algebra
Original price was: ₹6,033.00.₹4,827.00Current price is: ₹4,827.00.
This book gives a thorough and entirely self-contained, in-depth introduction to a specific approach to group theory, in a large sense of that word. The focus lie on the relationships which a group may have with other groups, via “universal properties”, a view on that group “from the outside”.
-21%
From Objects to Diagrams for Ranges of Functors
Original price was: ₹3,944.00.₹3,155.00Current price is: ₹3,155.00.
The book is centered on two statements: namely, CLL, and its main precursor, the Armature Lemma, which are results of category theory, with hard proofs, which appear here for the first time. Most of the book is aimed at applications outside category theory, and is thus written as a toolbox. The results of the book illustrate how certain representation problems have counterexamples of different cardinalities such as aleph zero, one, two, and explain why. CLL and the Armature Lemma have a wide application range, which we illustrate with examples in lattice theory, universal algebra, and ring theory. We also give pointers to solutions, made possible by our results, to previously intractable representation problems, with respect to various functors.
-21%
From Objects to Diagrams for Ranges of Functors
Original price was: ₹3,944.00.₹3,155.00Current price is: ₹3,155.00.
The book is centered on two statements: namely, CLL, and its main precursor, the Armature Lemma, which are results of category theory, with hard proofs, which appear here for the first time. Most of the book is aimed at applications outside category theory, and is thus written as a toolbox. The results of the book illustrate how certain representation problems have counterexamples of different cardinalities such as aleph zero, one, two, and explain why. CLL and the Armature Lemma have a wide application range, which we illustrate with examples in lattice theory, universal algebra, and ring theory. We also give pointers to solutions, made possible by our results, to previously intractable representation problems, with respect to various functors.
-20%
Fuzzy Lie Algebras
Original price was: ₹11,766.00.₹9,414.00Current price is: ₹9,414.00.
This book explores certain structures of fuzzy Lie algebras, fuzzy Lie superalgebras and fuzzy n-Lie algebras. In addition, it applies various concepts to Lie algebras and Lie superalgebras, including type-1 fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, vague sets and bipolar fuzzy sets. The book offers a valuable resource for students and researchers in mathematics, especially those interested in fuzzy Lie algebraic structures, as well as for other scientists.
Divided into 10 chapters, the book begins with a concise review of fuzzy set theory, Lie algebras and Lie superalgebras. In turn, Chap. 2 discusses several properties of concepts like interval-valued fuzzy Lie ideals, characterizations of Noetherian Lie algebras, quotient Lie algebras via interval-valued fuzzy Lie ideals, and interval-valued fuzzy Lie superalgebras. Chaps. 3 and 4 focus on various concepts of fuzzy Lie algebras, while Chap. 5 presents the concept of fuzzy Lie ideals of a Lie algebra over a fuzzy field. Chapter 6 is devoted to the properties of bipolar fuzzy Lie ideals, bipolar fuzzy Lie subsuperalgebras, bipolar fuzzy bracket product, solvable bipolar fuzzy Lie ideals and nilpotent bipolar fuzzy Lie ideals. Chap. 7 deals with the properties of m-polar fuzzy Lie subalgebras and m-polar fuzzy Lie ideals, while Chap. 8 addresses concepts like soft intersection Lie algebras and fuzzy soft Lie algebras. Chap. 9 deals with rough fuzzy Lie subalgebras and rough fuzzy Lie ideals, and lastly, Chap. 10 investigates certain properties of fuzzy subalgebras and ideals of n-ary Lie algebras.
-20%
Fuzzy Lie Algebras
Original price was: ₹11,766.00.₹9,414.00Current price is: ₹9,414.00.
This book explores certain structures of fuzzy Lie algebras, fuzzy Lie superalgebras and fuzzy n-Lie algebras. In addition, it applies various concepts to Lie algebras and Lie superalgebras, including type-1 fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, vague sets and bipolar fuzzy sets. The book offers a valuable resource for students and researchers in mathematics, especially those interested in fuzzy Lie algebraic structures, as well as for other scientists.
Divided into 10 chapters, the book begins with a concise review of fuzzy set theory, Lie algebras and Lie superalgebras. In turn, Chap. 2 discusses several properties of concepts like interval-valued fuzzy Lie ideals, characterizations of Noetherian Lie algebras, quotient Lie algebras via interval-valued fuzzy Lie ideals, and interval-valued fuzzy Lie superalgebras. Chaps. 3 and 4 focus on various concepts of fuzzy Lie algebras, while Chap. 5 presents the concept of fuzzy Lie ideals of a Lie algebra over a fuzzy field. Chapter 6 is devoted to the properties of bipolar fuzzy Lie ideals, bipolar fuzzy Lie subsuperalgebras, bipolar fuzzy bracket product, solvable bipolar fuzzy Lie ideals and nilpotent bipolar fuzzy Lie ideals. Chap. 7 deals with the properties of m-polar fuzzy Lie subalgebras and m-polar fuzzy Lie ideals, while Chap. 8 addresses concepts like soft intersection Lie algebras and fuzzy soft Lie algebras. Chap. 9 deals with rough fuzzy Lie subalgebras and rough fuzzy Lie ideals, and lastly, Chap. 10 investigates certain properties of fuzzy subalgebras and ideals of n-ary Lie algebras.
-20%
Introduction to Relation Algebras: Relation Algebras, Volume 1
Price range: ₹5,244.00 through ₹7,329.00
The first volume of a pair that charts relation algebras from novice to expert level, this text offers a comprehensive grounding for readers new to the topic. Upon completing this introduction, mathematics students may delve into areas of active research by progressing to the second volume, Advanced Topics in Relation Algebras; computer scientists, philosophers, and beyond will be equipped to apply these tools in their own field.
-20%
Introduction to Relation Algebras: Relation Algebras, Volume 1
Price range: ₹5,244.00 through ₹7,329.00
The first volume of a pair that charts relation algebras from novice to expert level, this text offers a comprehensive grounding for readers new to the topic. Upon completing this introduction, mathematics students may delve into areas of active research by progressing to the second volume, Advanced Topics in Relation Algebras; computer scientists, philosophers, and beyond will be equipped to apply these tools in their own field.
-20%
Mathematical Concepts
Original price was: ₹8,118.00.₹6,495.00Current price is: ₹6,495.00.
The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features.
-20%
Mathematical Concepts
Original price was: ₹8,118.00.₹6,495.00Current price is: ₹6,495.00.
The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features.
-20%
Problems and Proofs in Numbers and Algebra
Original price was: ₹6,033.00.₹4,827.00Current price is: ₹4,827.00.
Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials.
-20%
Problems and Proofs in Numbers and Algebra
Original price was: ₹6,033.00.₹4,827.00Current price is: ₹4,827.00.
Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials.
-20%
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups
Original price was: ₹5,511.00.₹4,410.00Current price is: ₹4,410.00.
Offers a new, universal algebraic and lattice-theoretical approach Provides tools for further work, for example on varieties of algebras, but also on operator theory Includes many examples and counterexamples Includes supplementary material: sn.pub/extras
-20%
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups
Original price was: ₹5,511.00.₹4,410.00Current price is: ₹4,410.00.
Offers a new, universal algebraic and lattice-theoretical approach Provides tools for further work, for example on varieties of algebras, but also on operator theory Includes many examples and counterexamples Includes supplementary material: sn.pub/extras
-20%
Relational Topology
Original price was: ₹4,990.00.₹3,993.00Current price is: ₹3,993.00.
Introduces and develops an algebraic treatment of Boolean matrices Applies the methods to give an algebraic treatment of point set topology Offers a framework for handling topological problems using theorem provers Includes nearly 100 diagrams of relations presented as matrices
-20%
Relational Topology
Original price was: ₹4,990.00.₹3,993.00Current price is: ₹3,993.00.
Introduces and develops an algebraic treatment of Boolean matrices Applies the methods to give an algebraic treatment of point set topology Offers a framework for handling topological problems using theorem provers Includes nearly 100 diagrams of relations presented as matrices
-20%
Selected Exercises in Algebra: Volume 1
Original price was: ₹4,990.00.₹3,993.00Current price is: ₹3,993.00.
Collection of 250 exercises and preliminary exercises The notes on the relevant theory provide the reader with a readily available, comprehensive reference The proposed exercises and carefully drafted solutions are organized by topic
-20%
Selected Exercises in Algebra: Volume 1
Original price was: ₹4,990.00.₹3,993.00Current price is: ₹3,993.00.
Collection of 250 exercises and preliminary exercises The notes on the relevant theory provide the reader with a readily available, comprehensive reference The proposed exercises and carefully drafted solutions are organized by topic
-20%
Shuffle Approach Towards Quantum Affine and Toroidal Algebras
Original price was: ₹4,990.00.₹3,993.00Current price is: ₹3,993.00.
This book is based on the author's mini course delivered at Tokyo University of Marine Science and Technology in March 2019.
The shuffle approach to Drinfeld–Jimbo quantum groups of finite type (embedding their "positive" subalgebras into q-deformed shuffle algebras) was first developed independently in the 1990s by J. Green, M. Rosso, and P. Schauenburg. Motivated by similar ideas, B. Feigin and A. Odesskii proposed a shuffle approach to elliptic quantum groups around the same time.
-20%
Shuffle Approach Towards Quantum Affine and Toroidal Algebras
Original price was: ₹4,990.00.₹3,993.00Current price is: ₹3,993.00.
This book is based on the author's mini course delivered at Tokyo University of Marine Science and Technology in March 2019.
The shuffle approach to Drinfeld–Jimbo quantum groups of finite type (embedding their "positive" subalgebras into q-deformed shuffle algebras) was first developed independently in the 1990s by J. Green, M. Rosso, and P. Schauenburg. Motivated by similar ideas, B. Feigin and A. Odesskii proposed a shuffle approach to elliptic quantum groups around the same time.
-20%
Submanifold Theory: Beyond an Introduction
Original price was: ₹8,639.00.₹6,912.00Current price is: ₹6,912.00.
This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms. One main theme is the isometric and conformal deformation problem for submanifolds of arbitrary dimension and codimension. Several relevant classes of submanifolds are also discussed, including constant curvature submanifolds, submanifolds of nonpositive extrinsic curvature, conformally flat submanifolds and real Kaehler submanifolds. This is the first textbook to treat a substantial proportion of the material presented here. The first chapters are suitable for an introductory course on Submanifold theory for students with a basic background on Riemannian geometry. The remaining chapters could be used in a more advanced course by students aiming at initiating research on the subject, and are also intended to serve as a reference for specialists in the field.
-20%
Submanifold Theory: Beyond an Introduction
Original price was: ₹8,639.00.₹6,912.00Current price is: ₹6,912.00.
This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms. One main theme is the isometric and conformal deformation problem for submanifolds of arbitrary dimension and codimension. Several relevant classes of submanifolds are also discussed, including constant curvature submanifolds, submanifolds of nonpositive extrinsic curvature, conformally flat submanifolds and real Kaehler submanifolds. This is the first textbook to treat a substantial proportion of the material presented here. The first chapters are suitable for an introductory course on Submanifold theory for students with a basic background on Riemannian geometry. The remaining chapters could be used in a more advanced course by students aiming at initiating research on the subject, and are also intended to serve as a reference for specialists in the field.