Page 11 - Maths Catalogue 2019

PRAGATI PRAKASHAN

ADVANCED ABSTRACT ALGEBRA THEORY OF NUMBERS METRIC SPACES
Bhupendra Singh Sudhir K. Pundir, Rimple Pundir Sudhir K. Pundir, Rimple Pundir

Eleventh Edition Fifth Edition Second Edition
ISBN: 978-93-87151-95-6 ISBN: 978-93-86306-55-5 ISBN : 978-93-5140-559-7
Pages: 16+552 Pages: 8+316 Page : 8+294
Price: Rs. 440/- Price: Rs. 225/- Price : 240/-
CONTENTS CONTENTS CONTENTS
Introduction; Divisibility Theory; Linear
Part-1. Preliminaries: Logics and Set Theory; Introduction; Prologue to Metric Spaces (Open
Relations and Functions; Matrices and Rank; Diophantine Equations; Primes and Their and Closed sets of Real Numbers); Metric
Part-2. Groups: Groups; Normal Subgroups; Distributions; Congruences; Fermet's Space; Open and Closed Sets in a Metric
Automorphism and Structure of Groups; Theorem and its Applications; Number S p a c e ; C o m p l e t e M e t r i c S p a c e ;
Normal Series; Nilpotent and Solvable Groups; Theoretic Functions; Primitive Roots and Connectedness; Compactness; Continuous
Indices; Quadratic Residues and Congruences
Part-3. Ring Theory: Rings; Primary Functions; Index.
Decomposition of Ideals; Unique Factorization of Second Degree; Perfect Numbers; Sum of
Domain and Euclidean Domains; Noetherian Squares of Integers; Selected Topics.
Ring; Rings of Fraction with Ore Condition; INTEGRAL EQUATIONS AND
Part-4. Vector Space and Modules: Vector DIFFERENCE EQUATIONS BOUNDARY VALUE PROBLEMS
Spaces; Modules; Part-5. Linear Algebra: Pundir & Pundir Pundir, Pundir
Linear Transformations; Linear Functionals;
E i g e n v a l u e s a n d E i g e n v e c t o r s ,
Diagonalization; Canonical Forms; Part-6. Fourth Edition
Eighth Edition
Field Theory: Algebraic. Extensions of a Field; ISBN: 978-93-86633-55-2 ISBN: 978-93-88438-67-4
Pages: 8+302
Normal and Separable Extensions of Fields; Pages: 12+480
Price: Rs. 220/-
Galois Theory; Application of Galois Theory; Price: Rs. 360/-
Part-7. Additional Topics: Noetherian and
CONTENTS CONTENTS
Artinial Modules and Rings; Smith Normal form
over a PID and Rank; Finitely Generated Finite Differences; General Difference Introduction; Solution of Freeholm Integral
Modules over a PID; Groups of Small Orders. Equations; Linear Difference Equations with Equations; Hilbert-Schmidt Theory: Symmetric
Constant Coefficients; Z-Transforms; Kernels; Solution of Integral Equations of
Generating Function Technique; Stability
NUMERICAL ANALYSIS Second Kind: Successive Approximation and
Bhupendra Singh Theory and Asymptotic Analysis; The Self- Substitution Methods; Classical Freeholm
Adjoint Equation and Sturm-Theory; Sturm-
Theory; Singular Integral Equations; Integral
Liouville Problems; Calculus of Variations;
Transform Method; Boundary Value Problems
Boundary Value Problems for Difference and
Sixth Edition and Green's Function; Dirac Delta Function;
Differential Equations.
ISBN: 978-93-86306-91-3
Modified Green's Function; Higher Dimensional
Pages: 8+584
MATHEMATICAL METHODS Green's Function; Perturbation Theory.
Price: Rs. 380/-
Sudhir K. Pundir, Rimple Pundir
CONTENTS
COMPLEX ANALYSIS
Errors Analysis and Numerical Computations; J.K. Goyal, K.P. Gupta, S.K. Pundir
Second Edition
Calculus of Finite Differences; Solution of
ISBN : 978-93-5140-379-1
Algebraic and Transcendental Equations;
Page : 8+368
Interpolation (with Equal Intervals), Price : 235/- Fourth Edition
Interpolation (with Unequal Intervals); The ISBN : 978-93-88151-28-3
Accuracy of Interpolation Formulas, Numerical CONTENTS Pages : 8+372
Differentiation; Numerical Integrations; Price : 310/-
Fourier Series; Application of Fourier Series in
Numerical Solution of Ordinary Differential
Initial and Boundary Value Problems; Basic CONTENTS
Equations; Solution of Simultaneous Algebraic
Concepts of Integral Equations; Solution of
Equations; Matrix Inversion and Eigen-Value The Foundation; Complex Integration;
Freeholm Integral Equations; Hilbert-Schmidt
Problem; Curve Fitting, Cubic Spline and Conformal Representation; Singularities; The
theory : Symmetric Kernels; Solution of Integral
Approximations; Numerical Solution of Partial Calculus of Residues; Analytic Continuation;
Equations of Second Kind : Successive
Differential Equation. Integral Functions.
Approximation and Substitution Methods.
Mathematics catalogue 2019 11