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(Mostly) Commutative Algebra

Original price was: ₹5,511.00.Current price is: ₹4,410.00.
Offers a unified presentation of stability results for dynamical systems using Lyapunov-like characterizations Provides derivation of strong/weak complete instability results for systems in terms of Lyapunov-like and comparison functions Discusses combined stability and avoidance problem for control systems from the perspective of Lyapunov functions
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(Mostly) Commutative Algebra

Original price was: ₹5,511.00.Current price is: ₹4,410.00.
Offers a unified presentation of stability results for dynamical systems using Lyapunov-like characterizations Provides derivation of strong/weak complete instability results for systems in terms of Lyapunov-like and comparison functions Discusses combined stability and avoidance problem for control systems from the perspective of Lyapunov functions
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A Basic Course in Algebraic Topology

Original price was: ₹9,160.00.Current price is: ₹7,329.00.
This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. The text consists of material from the first five chapters of the author's earlier book, Algebraic Topology| an Introduction (GTM 56) together with almost all of his book, Singular Homology Theory (GTM 70). The material from the two earlier books has been substantially revised, corrected, and brought up to date.
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A Basic Course in Algebraic Topology

Original price was: ₹9,160.00.Current price is: ₹7,329.00.
This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. The text consists of material from the first five chapters of the author's earlier book, Algebraic Topology| an Introduction (GTM 56) together with almost all of his book, Singular Homology Theory (GTM 70). The material from the two earlier books has been substantially revised, corrected, and brought up to date.
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A Course in Commutative Algebra

Price range: ₹4,994.00 through ₹6,912.00
Excellently written textbook in commutative algebra Book makes getting into the subject easier for students than with existing works Many illustrative examples and exercises Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material
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A Course in Commutative Algebra

Price range: ₹4,994.00 through ₹6,912.00
Excellently written textbook in commutative algebra Book makes getting into the subject easier for students than with existing works Many illustrative examples and exercises Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material
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A Course on Basic Model Theory

Price range: ₹4,410.00 through ₹6,495.00
This self-contained book is an exposition of the fundamental ideas of model theory. It presents the necessary background from logic, set theory and other topics of mathematics. Only some degree of mathematical maturity and willingness to assimilate ideas from diverse areas are required.
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A Course on Basic Model Theory

Price range: ₹4,410.00 through ₹6,495.00
This self-contained book is an exposition of the fundamental ideas of model theory. It presents the necessary background from logic, set theory and other topics of mathematics. Only some degree of mathematical maturity and willingness to assimilate ideas from diverse areas are required.
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A First Course in Modular Forms

Price range: ₹5,244.00 through ₹5,661.00
Covers many topics not covered in other texts on elliptic curves Includes supplementary material: sn.pub/extras
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A First Course in Modular Forms

Price range: ₹5,244.00 through ₹5,661.00
Covers many topics not covered in other texts on elliptic curves Includes supplementary material: sn.pub/extras
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A1-Algebraic Topology over a Field

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Includes supplementary material: sn.pub/extras
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A1-Algebraic Topology over a Field

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Includes supplementary material: sn.pub/extras
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Advanced Topics in the Arithmetic of Elliptic Curves

Price range: ₹5,661.00 through ₹7,746.00
In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details.
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Advanced Topics in the Arithmetic of Elliptic Curves

Price range: ₹5,661.00 through ₹7,746.00
In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details.
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Advancing Parametric Optimization

Original price was: ₹6,554.00.Current price is: ₹5,244.00.
The theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry. When unknown or uncertain data in an optimization problem is replaced with parameters, one obtains a multi-parametric optimization problem whose optimal solution comes in the form of a function of the parameters.
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Advancing Parametric Optimization

Original price was: ₹6,554.00.Current price is: ₹5,244.00.
The theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry. When unknown or uncertain data in an optimization problem is replaced with parameters, one obtains a multi-parametric optimization problem whose optimal solution comes in the form of a function of the parameters.
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Algebra 3: Homological Algebra and Its Applications

Original price was: ₹5,512.00.Current price is: ₹4,410.00.
Discusses topics in homological algebra and applications in topology, commutative algebra, and algebraic geometry Offers the third volume of a four-volume textbook series in Algebra Is written by an expert with over 43 years of teaching experience
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Algebra 3: Homological Algebra and Its Applications

Original price was: ₹5,512.00.Current price is: ₹4,410.00.
Discusses topics in homological algebra and applications in topology, commutative algebra, and algebraic geometry Offers the third volume of a four-volume textbook series in Algebra Is written by an expert with over 43 years of teaching experience
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Algebra, Geometry, and Physics in the 21st Century: Kontsevich Festschrift

Original price was: ₹15,937.00.Current price is: ₹12,750.00.
This volume is a tribute to Maxim Kontsevich, one of the most original and influential mathematicians of our time. Maxim’s vision has inspired major developments in many areas of mathematics, ranging all the way from probability theory to motives over finite fields, and has brought forth a paradigm shift at the interface of modern geometry and mathematical physics.
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Algebra, Geometry, and Physics in the 21st Century: Kontsevich Festschrift

Original price was: ₹15,937.00.Current price is: ₹12,750.00.
This volume is a tribute to Maxim Kontsevich, one of the most original and influential mathematicians of our time. Maxim’s vision has inspired major developments in many areas of mathematics, ranging all the way from probability theory to motives over finite fields, and has brought forth a paradigm shift at the interface of modern geometry and mathematical physics.
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Algebraic Curves

Original price was: ₹7,596.00.Current price is: ₹6,078.00.
This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades, this notion has become central not only in algebraic geometry, but in mathematical physics, including string theory, as well.The book begins by studying individual smooth algebraic curves, including the most beautiful ones, before addressing families of curves. Studying families of algebraic curves often proves to be more efficient than studying individual curves: these families and their total spaces can still be smooth, even if there are singular curves among their members. A major discovery of the 20th century, attributed to P. Deligne and D. Mumford, was that curves with only mild singularities form smooth compact moduli spaces. An unexpected byproduct of this discovery was the realization that the analysis of more complex curve singularities is not a necessary step in understanding the geometry of the moduli spaces.The book does not use the sophisticated machinery of modern algebraic geometry, and most classical objects related to curves – such as Jacobian, space of holomorphic differentials, the Riemann-Roch theorem, and Weierstrass points – are treated at a basic level that does not require a profound command of algebraic geometry, but which is sufficient for extending them to vector bundles and other geometric objects associated to moduli spaces. Nevertheless, it offers clear information on the construction of the moduli spaces, and provides readers with tools for practical operations with this notion. Based on several lecture courses given by the authors at the Independent University of Moscow and Higher School of Economics, the book also includes a wealth of problems, making it suitable not only for individual research, but also as a textbook for undergraduate and graduate coursework
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Algebraic Curves

Original price was: ₹7,596.00.Current price is: ₹6,078.00.
This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades, this notion has become central not only in algebraic geometry, but in mathematical physics, including string theory, as well.The book begins by studying individual smooth algebraic curves, including the most beautiful ones, before addressing families of curves. Studying families of algebraic curves often proves to be more efficient than studying individual curves: these families and their total spaces can still be smooth, even if there are singular curves among their members. A major discovery of the 20th century, attributed to P. Deligne and D. Mumford, was that curves with only mild singularities form smooth compact moduli spaces. An unexpected byproduct of this discovery was the realization that the analysis of more complex curve singularities is not a necessary step in understanding the geometry of the moduli spaces.The book does not use the sophisticated machinery of modern algebraic geometry, and most classical objects related to curves – such as Jacobian, space of holomorphic differentials, the Riemann-Roch theorem, and Weierstrass points – are treated at a basic level that does not require a profound command of algebraic geometry, but which is sufficient for extending them to vector bundles and other geometric objects associated to moduli spaces. Nevertheless, it offers clear information on the construction of the moduli spaces, and provides readers with tools for practical operations with this notion. Based on several lecture courses given by the authors at the Independent University of Moscow and Higher School of Economics, the book also includes a wealth of problems, making it suitable not only for individual research, but also as a textbook for undergraduate and graduate coursework
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Algebraic Curves and Projective Geometry: Proceedings of the Conference held in Trento, Italy, March 21-25, 1988

Original price was: ₹4,990.00.Current price is: ₹3,993.00.
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Algebraic Curves, the Brill and Noether Way

Original price was: ₹6,033.00.Current price is: ₹4,827.00.
Complete, self-contained presentation with proofs Low-level prerequisites Matter is presented from a decidedly geometric viewpoint, updating classical approaches Exercises at the end of each chapter
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Algebraic Curves, the Brill and Noether Way

Original price was: ₹6,033.00.Current price is: ₹4,827.00.
Complete, self-contained presentation with proofs Low-level prerequisites Matter is presented from a decidedly geometric viewpoint, updating classical approaches Exercises at the end of each chapter
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Algebraic Cycles and Hodge Theory: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Torino, Italy, June 21 – 29, 1993

Original price was: ₹5,511.00.Current price is: ₹4,410.00.
The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research.
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Algebraic Cycles and Hodge Theory: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Torino, Italy, June 21 – 29, 1993

Original price was: ₹5,511.00.Current price is: ₹4,410.00.
The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research.
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Algebraic Cycles, Sheaves, Shtukas, and Moduli: Impanga Lecture Notes

Original price was: ₹10,724.00.Current price is: ₹8,580.00.
The articles in this volume are devoted to: - moduli of coherent sheaves| - principal bundles and sheaves and their moduli| - new insights into Geometric Invariant Theory| - stacks of shtukas and their compactifications| - algebraic cycles vs. commutative algebra| - Thom polynomials of singularities| - zero schemes of sections of vector bundles. The main purpose is to give "friendly" introductions to the above topics through a series of comprehensive texts starting from a very elementary level and ending with a discussion of current research. In these texts, the reader will find classical results and methods as well as new ones. The book is addressed to researchers and graduate students in algebraic geometry, algebraic topology and singularity theory. Most of the material presented in the volume has not appeared in books before. Contributors: Jean-Marc Drézet, Tomás L. Gómez, Adrian Langer, Piotr Pragacz, Alexander H. W. Schmitt, Vasudevan Srinivas, Ngo Dac Tuan, Andrzej Weber
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Algebraic Cycles, Sheaves, Shtukas, and Moduli: Impanga Lecture Notes

Original price was: ₹10,724.00.Current price is: ₹8,580.00.
The articles in this volume are devoted to: - moduli of coherent sheaves| - principal bundles and sheaves and their moduli| - new insights into Geometric Invariant Theory| - stacks of shtukas and their compactifications| - algebraic cycles vs. commutative algebra| - Thom polynomials of singularities| - zero schemes of sections of vector bundles. The main purpose is to give "friendly" introductions to the above topics through a series of comprehensive texts starting from a very elementary level and ending with a discussion of current research. In these texts, the reader will find classical results and methods as well as new ones. The book is addressed to researchers and graduate students in algebraic geometry, algebraic topology and singularity theory. Most of the material presented in the volume has not appeared in books before. Contributors: Jean-Marc Drézet, Tomás L. Gómez, Adrian Langer, Piotr Pragacz, Alexander H. W. Schmitt, Vasudevan Srinivas, Ngo Dac Tuan, Andrzej Weber
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Algebraic Function Fields and Codes

Price range: ₹5,244.00 through ₹7,329.00
Well-established popular textbook Includes supplementary material: sn.pub/extras
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Algebraic Function Fields and Codes

Price range: ₹5,244.00 through ₹7,329.00
Well-established popular textbook Includes supplementary material: sn.pub/extras
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Algebraic Functions and Projective Curves

Original price was: ₹5,511.00.Current price is: ₹4,410.00.
This book grew out of a set of notes for a series of lectures I orginally gave at the Center for Communications Research and then at Princeton University. The motivation was to try to understand the basic facts about algebraic curves without the modern prerequisite machinery of algebraic geometry. Of course, one might well ask if this is a good thing to do. There is no clear answer to this question. In short, we are trading off easier access to the facts against a loss of generality and an impaired understanding of some fundamental ideas. Whether or not this is a useful tradeoff is something you will have to decide for yourself. One of my objectives was to make the exposition as self-contained as possible. Given the choice between a reference and a proof, I usually chose the latter. - though I worked out many of these arguments myself, I think I can con?dently predict that few, if any, of them are novel. I also made an effort to cover some topics that seem to have been somewhat neglected in the expository literature.
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Algebraic Functions and Projective Curves

Original price was: ₹5,511.00.Current price is: ₹4,410.00.
This book grew out of a set of notes for a series of lectures I orginally gave at the Center for Communications Research and then at Princeton University. The motivation was to try to understand the basic facts about algebraic curves without the modern prerequisite machinery of algebraic geometry. Of course, one might well ask if this is a good thing to do. There is no clear answer to this question. In short, we are trading off easier access to the facts against a loss of generality and an impaired understanding of some fundamental ideas. Whether or not this is a useful tradeoff is something you will have to decide for yourself. One of my objectives was to make the exposition as self-contained as possible. Given the choice between a reference and a proof, I usually chose the latter. - though I worked out many of these arguments myself, I think I can con?dently predict that few, if any, of them are novel. I also made an effort to cover some topics that seem to have been somewhat neglected in the expository literature.
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