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 #  AuthorTitleAccn#YearItem Type Claims
1 David A. Cox Ideals, varieties and algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra 026482 2015 Book  
2 Thomas Becker Grobner bases: A Computational Approach to Commutative Algebra 026481 1993 Book  
3 Xin-She Yang Introduction to computational mathematics 026201 2015 Book  
4 Ian H. Hutchinson Student's guide to numerical methods 026074 2015 Book  
5 Paul Cockshott Computation and its limits 026050 2015 Book  
6 Antonio Munjiza Large strain finite element method: A Practical Course 025979 2015 Book  
7 Amritasu Sinha Principles of engineering analysis 024408 2012 Book  
8 Matheus Grasselli Numerical mathematics 022370 2008 Book  
9 HIGHAM, N.J. Accuracy and stability of numerical algorithms 021347 2002 Book  
10 W. D. Wallis Beginner's guide to finite mathematics : For business, managment, and the social sciences 020188 2004 Book  
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TitleIdeals, varieties and algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
Author(s)David A. Cox;John Little;Donal Oshea
Edition4th ed.
PublicationChem, Springer, 2015.
Descriptionxvi, 646
Series(Undergraduate texts in mathematics)
Abstract NoteThis text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry-the elimination theorem, the extension theorem, the closure theorem and the Nullstellensatz—this new edition incorporates several substantial changes, all of which are listed in the Preface. The largest revision incorporates a new Chapter (ten), which presents some of the essentials of progress made over the last decades in computing Gröbner bases.
ISBN,Price9783319167213 : $ 75.00(HB)
Classification519.6
Keyword(s)1. CLOSURE THEOREM 2. COMMUTATIVE ALGEBRA 3. COMPUTATIONAL ALGEBRA 4. COMPUTATIONAL MATHEMATICS 5. ELIMINATION THEORY 6. EXTENSION THEOREM 7. GROBNER BASES 8. NULLSTELLENSATZ
Item TypeBook

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026482   519.6/COX/026482  On Shelf    

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TitleGrobner bases: A Computational Approach to Commutative Algebra
Author(s)Thomas Becker;Volker Weispfenning
PublicationNew York, Springer-Verlag, 1993.
Descriptionxxii, 574p.
Series(Graduate Texts in Mathematics)
Abstract NoteThe origins of the mathematics in this book date back more than two thou­ sand years, as can be seen from the fact that one of the most important algorithms presented here bears the name of the Greek mathematician Eu­ clid. The word "algorithm" as well as the key word "algebra" in the title of this book come from the name and the work of the ninth-century scientist Mohammed ibn Musa al-Khowarizmi, who was born in what is now Uzbek­ istan and worked in Baghdad at the court of Harun al-Rashid's son. The word "algorithm" is actually a westernization of al-Khowarizmi's name, while "algebra" derives from "al-jabr," a term that appears in the title of his book Kitab al-jabr wa'l muqabala, where he discusses symbolic methods for the solution of equations. This close connection between algebra and al­ gorithms lasted roughly up to the beginning of this century; until then, the primary goal of algebra was the design of constructive methods for solving equations by means of symbolic transformations. During the second half of the nineteenth century, a new line of thought began to enter algebra from the realm of geometry, where it had been successful since Euclid's time, namely, the axiomatic method.
ISBN,Price9780387979717 : Eur 93.59(HB)
Classification519.6
Keyword(s)1. BUCHBERGER ALGORITHM 2. COMMUTATIVE ALGEBRA 3. COMPUTATIONAL MATHEMATICS 4. GROBNER BASIS THEORY
Item TypeBook

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026481     On Shelf    

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TitleIntroduction to computational mathematics
Author(s)Xin-She Yang
Edition2nd ed.
PublicationNew Jersey, World Scientific Publishing Co. Pvt. Ltd., 2015.
Descriptionxii, 329p.
Abstract NoteThis unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithm, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting to data modelling, bio-inspired algorithms and swarm intelligence. This book is especially suitable for both undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence and engineering optimization. Thus, it can be used as a textbook and/or reference book.
ISBN,Price9789814635783 : Rs. 995.00(PB)
Classification519.6
Keyword(s)1. Computational Intelligence 2. COMPUTATIONAL MATHEMATICS 3. MATHEMATICAL PROGRAMMING 4. NUMERICAL ALGORITHMS 5. PARTIAL DIFFERENTIAL EQUATIONS 6. STOCHASTIC METHODS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026201   519.6/YANG/026201  On Shelf    

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TitleStudent's guide to numerical methods
Author(s)Ian H. Hutchinson
PublicationCambridge, Cambridge University Press, 2015.
Descriptionxiv, 207p.
Abstract Notehis concise, plain-language guide for senior undergraduates and graduate students aims to develop intuition, practical skills and an understanding of the framework of numerical methods for the physical sciences and engineering. It provides accessible self-contained explanations of mathematical principles, avoiding intimidating formal proofs. Worked examples and targeted exercises enable the student to master the realities of using numerical techniques for common needs such as solution of ordinary and partial differential equations, fitting experimental data, and simulation using particle and Monte Carlo methods. Topics are carefully selected and structured to build understanding, and illustrate key principles such as: accuracy, stability, order of convergence, iterative refinement, and computational effort estimation. Enrichment sections and in-depth footnotes form a springboard to more advanced material and provide additional background. Whether used for self-study, or as the basis of an accelerated introductory class, this compact textbook provides a thorough grounding in computational physics and engineering.
ISBN,Price9781316602416 : Rs. 295.00(PB)
Classification519.6
Keyword(s)1. EBOOK 2. EBOOK - CAMBRIDGE UNIVERSITY PRESS 3. NUMERICAL METHODS
Item TypeBook
Multi-Media Links
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026074   519.6/HUT/026074  On Shelf    
OB0751   519.6/HUT/  On Shelf    

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TitleComputation and its limits
Author(s)Paul Cockshott;Lewis M. Mackenzie;Greg Michaelson
PublicationOxford, Oxford University Press, 2015.
Descriptionvi, 239p.
Abstract NoteComputation and its Limits is an innovative cross-disciplinary investigation of the relationship between computing and physical reality. It begins by exploring the mystery of why mathematics is so effective in science and seeks to explain this in terms of the modelling of one part of physical reality by another. Going from the origins of counting to the most blue-skies proposals for novel methods of computation, the authors investigate the extent to which the laws of nature and of logic constrain what we can compute. In the process they examine formal computability, the thermodynamics of computation, and the promise of quantum computing.
ISBN,Price9780198729129 : UKP 22.50(PB)
Classification519.6
Keyword(s)1. COMPUTATION 2. HYPERCOMPUTING 3. Quantum computing 4. THERMODYNAMICS OF COMPUTATION
Item TypeBook

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026050   519.6/COC/026050  On Shelf    

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TitleLarge strain finite element method: A Practical Course
Author(s)Antonio Munjiza;Esteban Rougier;Earl E. Knight
PublicationChichester, John Wiley and Sons, 2015.
Descriptionxiv, 469p.
Abstract NoteBook takes an introductory approach to the subject of large strains and large displacements in finite elements and starts from the basic concepts of finite strain deformability, including finite rotations and finite displacements. The necessary elements of vector analysis and tensorial calculus on the lines of modern understanding of the concept of tensor will also be introduced. This book explains how tensors and vectors can be described using matrices and also introduces different stress and strain tensors. Building on these, step by step finite element techniques for both hyper and hypo-elastic approach will be considered. Material models including isotropic, unisotropic, plastic and viscoplastic materials will be independently discussed to facilitate clarity and ease of learning. Elements of transient dynamics will also be covered and key explicit and iterative solvers including the direct numerical integration, relaxation techniques and conjugate gradient method will also be explored. This book contains a large number of easy to follow illustrations, examples and source code details that facilitate both reading and understanding.
ISBN,Price9781118405307 : US $130.00(HB)
Classification519.6
Keyword(s)1. FINITE ELEMENT METHOD 2. LARGE DISPLACEMENTS 3. LARGE STRAINS 4. STRAIN TENSORS 5. STRAINS AND STRESSES 6. TENSONS
Item TypeBook

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025979   519.6/MUN/025979  On Shelf    

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TitlePrinciples of engineering analysis
Author(s)Amritasu Sinha;Jean Bosco Mugiraneza
PublicationNew Delhi, Narosa Publishing House, 2012.
Descriptionix, pp. 1.1-8.23, B.1-B.2, I.1-I.6
Abstract NotePRINCIPLES OF ENGINEERING ANALYSIS presents Mathematical tools for Engineering Analysis and applications. Particular emphasis has been given to explain Signals and Systems. Different transformation techniques such as Laplace, Fourier and Z transforms mathematically and subsequently its applications in solving differential and integral equations are also given.
ISBN,Price9788184871456 : Rs. 320.00(PB)
Classification519.6
Keyword(s)1. FOURIER TRANSFORM 2. LAPLACE TRANSFORMATION 3. PARTIAL DIFFERENTIAL EQUATIONS 4. SIGNALS 5. Z-TRANSFORM
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
024408   519.6/SIN/024408  On Shelf    

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TitleNumerical mathematics
Author(s)Matheus Grasselli;Dmitry Pelinovsky
PublicationNew Delhi, Narosa Publishing House, 2008.
Descriptionxiv, 668p.
ISBN,Price9788173199790 : Rs. 375.00(PB)
Classification519.6
Keyword(s)1. DIFFERENTIAL CALCULUS 2. EIGENVALUES 3. LINEAR SYSTEMS 4. NUMERICAL MATHEMATICS 5. NUMERICAL METHODS 6. ORTHOGONALITY 7. POLYNOMIAL FUNCTIONS 8. SPECTRAL METHOD 9. VECTOR CALCULUS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
022370   519./GRA/022370  On Shelf    

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TitleAccuracy and stability of numerical algorithms
Author(s)N.J. Higham
Edition2nd.
PublicationPhiladelphia, SIAM, 2002.
Description680p.
ISBN,Price0898715210 : US $67.65
Classification519.6
Keyword(s)1. ARITHMETIC 2. FLOATING POINT ARITHMETIC 3. NONLINEAR SYSTEMS 4. NUMERICAL ANALYSIS - DATA PROCESSING 5. NUMERICAL LINEAR ALGEBRA 6. SKEW-SYMMETRIC SYSTEMS 7. SYMMETRIC INDEFINITE
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
021347   519.6/HIG/021347  On Shelf    

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TitleBeginner's guide to finite mathematics : For business, managment, and the social sciences
Author(s)W. D. Wallis
PublicationBoston, Birkhauser, 2004.
Descriptionxii, 354p.
Contents NoteText book is designed for course in finite mathematics and application for business, management and social sciences students.
ISBN,Price8181282175 : Rs. 595.00
Classification519.6
Keyword(s)1. COMBINATION 2. FINITE MATHEMATICS 3. GRAPH THEORY 4. LINEAR PROGRAMMING 5. MATRICES 6. PERMUTATION 7. PROBABILITY 8. SET THEORY
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
020188   519.6/WAL/020188  On Shelf    

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