Abstracts Series
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Psychiatric Abstracts Series
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Author :
language : en
Publisher:
Release Date : 1965-07
Psychiatric Abstracts Series written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965-07 with Psychiatry categories.
Science Abstracts
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language : en
Publisher:
Release Date : 1992
Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Physics categories.
Absees Soviet And East European Abstracts Series
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Author :
language : en
Publisher:
Release Date : 1974-07
Absees Soviet And East European Abstracts Series written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-07 with Europe, Eastern categories.
Writing An Effective Abstract How To Write A Research Paper An Editage Series
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language : en
Publisher: Cactus Communications
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Writing An Effective Abstract How To Write A Research Paper An Editage Series written by and has been published by Cactus Communications this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
British Abstracts
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language : en
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Release Date : 1950
British Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950 with Biology categories.
Exercises On A Series Of Abstracts Of Title
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Author : Anonymous
language : en
Publisher: BoD – Books on Demand
Release Date : 2023-09-23
Exercises On A Series Of Abstracts Of Title written by Anonymous and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-23 with Fiction categories.
Reprint of the original, first published in 1873.
Various Publications Series
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Author :
language : en
Publisher:
Release Date : 1980
Various Publications Series written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Coal And The Environment Abstract Series Bibliography On Mined Land Reclamation
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Author : United States. Environmental Protection Agency. Office of Research and Development
language : en
Publisher:
Release Date : 1979
Coal And The Environment Abstract Series Bibliography On Mined Land Reclamation written by United States. Environmental Protection Agency. Office of Research and Development and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mines and mineral resources categories.
Kirshna S Series Abstract And Linear Algebra
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language : en
Publisher: Krishna Prakashan Media
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Abstract Algebra Differential Equation Fourier Series
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Author : HARI KISHAN
language : en
Publisher: Ram Prasad Publications(R.P.H.)
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Abstract Algebra Differential Equation Fourier Series written by HARI KISHAN and has been published by Ram Prasad Publications(R.P.H.) this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
ABSTRACT ALGEBRA UNIT-I 1. Group Automorphism, Inner Automorphism, Group of Automorphisms 1-22 Introduction 1; Homomorphism of Group 1; Types of Homomorphism 1; Kernel of a Homomorphism 3; Some Theorems (Properties of Group Homomorphism) 3; Isomorphism of Groups 3; Fundamental Theorem of Homomorphism of Groups 3; More Properties of Group Homomorphism 4; Automorphism of a Group 4; Inner Automorphism 8; Theorem 4; Definition of Inner Automorphism 8; Centre of a Group 9; Group of Automorphisms 12; Group of Automorphisms of a Cyclic Group 14. 2. Cayley's Theorem 23-32 Permutation Groups and Transformations 23; Equality of Two Permutations 24; Identity Permutations 24; Cayley’s Theorem for Finite Group 25; Regular Permutation Group 26; Cayley’s Theorem for Infinite Group 26. 3. Counting Principle 33-44 Conjugate Elements and Conjugacy Relation 33; Conjugate Classes 33; Conjugate Subgroups 33; Conjugate Class of a Subgroup 34; Self Conjugate Elements 34; Normalizer or Centralizer of an Element 34; Normalizer of a Subgroup of a Group 34; Self-Conjugate Subgroups 34; Counting Principle 34. UNIT-II 4. Introduction to Rings and Subrings 45-72 Introduction 45; Ring 45; Examples of a Ring 46; Properties of a Ring 46; Types of Rings 46; Some Properties of a Ring 61; Integral Multiples of the Elements of a Ring 63; Some Special Kinds of Ring 63; Cancellation Laws in a Ring 65; Invertible Elements in a Ring with Unity 66; Division Rings or Skew Field 67; Quotient Ring or Factor Ring or Ring of Residue Classes 67; Subrings 69; Smallest Subring 72. 5. Integral Domain 73-84 Integral Domain 73; Sub-domain 74; Ordered Integral Domain 75; Inequalities 76; Well-ordered 76; Field 76; Some Theorems 76; The Characteristic of a Ring 78. 6. Ideals 85-100 Ideal 85; Theorem 85; Improper and Proper Ideals 86;Unit and Zero Ideals 86; Some Theorems 89; Smallest Ideal Containing a given Subset of a Ring 91; Principal Ideal 91; Principal Ideal Ring (or Principal Ideal Domain) 91; Prime Ideal 91; Maximal Ideal 92; Minimal Ideal 93; Sum of Two Ideals 93; Theorems 93; Product of Two Ideals 94; Important Theorems 94. DIFFERENTIAL EQUATIONS & FOURIER SERIES UNIT-III 1. Series Solutions of Differential Equations : Power Series Method 1-33 Power Series Method 1; Analytic or Regular or Holomorphic Function 1; Singular Point of the Differential Equation 1; Power Series 2; General Method for Solving a Differential Equation by Power Series Method 2; Frobenius Method 9; When Two Roots of Indicial Equation are Unequal and Differ by a Quantity not an Integer 10; Roots of the Indicial Equation Unequal and Differing by an Integer 17; When Roots of Indicial Equation are Equal 23; Series Solution Near an Ordinary Point (Power Series Method) 28. 2. Legendre’s Equation, Legendre’s Polynomial, Generating Function, Recurrence Formulae and Orthogonal Legendre’s Polynomials 34-78 Legendre’s Equation 34; Solution of Legendre’s Equation 34; Legendre’s Functions and its Properties 36; Legendre’s Functions 36; Legendre’s Function of the First Kind 37; Legendre’s Function of the Second Kind 37; Another Form of Legendre’s Polynomial Pn(x) 37; General Solution of Legendre’s Equation 39; Associated Legendre’s Functions 39; Generating Function for Legendre’s Polynomial 40; Orthogonal Properties of Legendre’s Polynomials 49; Recurrence Formulae 51; Beltrami’s Result 53; Christoffel’s Expansion Formula 54; Christoffel’s Summation Formula 55; Rodrigue’s Formula Pn(x) 65; Laplace’s Integral for Pn(x) 67; Some Bounds on Pn(x) 68. 3. Bessel’s Equation, Recurrence Formula 79-106 Bessel’s Equation 79; Solution of Bessel’s Equation 79, Bessel’s Functions 81; Bessel’s Function of the First Kind of Order n (or Index n) 81; Bessel’s Function of the Second Kind of Order n (or Neumann's Function) 82; General Solution of Bessel’s Equation 82; Integration of Bessel’s Equation for n = 0 and Bessel’s Functions of Zeroeth Order 82; Linear Dependence of Bessel Functions Jn(x) and J-n(x) 84; Recurrence Relations for Jn(x) 84; Elementary Functions 90. UNIT-IV 4. Fourier Series 107-134 Introduction 107; Periodic Function 107; Even and Odd Functions 107; Fourier Series for Even and Odd Functions 108; Euler’s Formulae 109; Orthogonal Functions 109; Important Definite Integrals 110; To Determine the Fourier Coefficients a0, an and bn 110; Dirichlet Conditions 122; Fourier Series for Discontinuous Functions 122; Change of Interval 127. 5. Half Range Fourier Sine and Cosine Series 135-152 Half Range Series : Fourier Sine and Cosine Series 135; Parseval’s Theorem 143; Complex Form of Fourier Series 146.