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GATE 2023 : Mathematics – Guide Dr. Kuldeep Chaudhary & Dr. Shashank Goel

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Haryana GK Publications 2022Description: 712pISBN:
  • 9789395101912
DDC classification:
  • 510 CHA
Contents:
Preface (xii) About GATE (xiii) GATE Syllabus (xxiii) GENERAL APTITUDE Verbal Aptitude 1. English Grammar 1.1 - 1.16 Errors in Use of Articles 1.1 Use of ‘An’ 1.1 Use of ‘A’ 1.1 Use of ‘The’ 1.1 Errors in Use of Nouns 1.2 Errors in Use of Pronouns 1.2 Parts of Speech 1.3 Noun 1.3 Pronoun 1.3 Verb 1.4 Adjective 1.4 Adverb 1.4 Preposition 1.4 Conjunction 1.4 Interjection 1.5 Errors in Use of Prepositions 1.5 Prepositions of Time 1.5 Prepositions of Position 1.5 Prepositions of Direction 1.5 Other Uses of Preposition 1.5 Words Followed by Prepositions 1.6 Some Special Cases 1.7 Errors in Use of Conjunctions 1.7 Errors in Subject–verb Agreement 1.8 Errors in the Use of Tenses 1.8 Gerund & Infinitive 1.9 Auxiliary Verbs 1.9 Errors in Use of Adjectives 1.10 Errors in Use of Adverbs 1.11 Some More Tips of Usage 1.11 Exercise 1.13 – MCQ Type Questions 1.13 Answers 1.15 Explanations 1.16 2. Sentence Completion 2.1 - 2.10 Skill of vocabulary 2.1 Skill of semantics and syntax 2.1 Skill of identifying clues 2.2 Sentence Completion Strategies 2.2 Thought Continuity Clues 2.3 Parallel Idea Clues 2.3 Thought Reversal Clues 2.3 Cause Effect Clues 2.3 Word Defination Clues 2.4 Exercise 2.5 – MCQ Type Questions 2.5 Answers 2.9 Explanations 2.9 (vi) 3. Synonyms 3.1 - 3.12 Some Important Words With Their Synonyms 3.1 Exercise 3.4 – MCQ Type Questions 3.4 Answers 3.12 4. Antonyms 4.1 - 4.12 Plan to Answer Antonym Questions 4.1 Exercise 4.2 – MCQ Type Questions 4.2 Answers 4.12 5. Miscellaneous 5.1 - 5.26 Vocabulary For Reading Comprehension 5.1 Narrative Sequence 5.2 Speakers 5.4 Jargons 5.4 Phobias, Manias and Complexes 5.5 Words from Myths & Legends 5.7 Words Depicting Subjects of Study 5.8 Words from Characters of Literature 5.9 Words from People's & Place Names 5.10 Young Ones & Crises of Animals 5.11 Group Terms 5.12 Words of Foreign Origin 5.13 Word Frequency 5.15 Word Analogy 5.15 Common Types of Analogy 5.16 Odd Word Out 5.17 Idioms & Phrases 5.17 Exercise 5.18 – MCQ Type Questions 5.18 Answers 5.26 Analytical Aptitude 1. Logical Reasoning Ability 1.1 - 1.50 Reasoning 1.1 Verbal Reasoning 1.1 Analogy 1.6 Classification 1.11 Coding-Decoding 1.12 Blood Relations 1.13 Puzzle Test 1.15 Direction Sense 1.18 Logical Venn Diagrams 1.19 Alphabetical Quibble 1.21 Number, Ranking & Time Sequence 1.21 Mathematical Operations 1.22 Logical Sequence of Words 1.23 Decision Making 1.23 Cubes 1.25 Arrangements 1.26 Clocks 1.28 Calendars 1.30 Deductions 1.31 Data Sufficiency 1.34 Exercise 1.36 – MCQ Type Questions 1.36 – Numerical Type Questions 1.42 Answers 1.43 Explanations 1.44 Spatial Aptitude 1. Spatial Aptitude 1.1 - 1.40 Transformations 1.1 Geometrical Transformations 1.4 Paper Folding and Cutting 1.8 Patterns in 2 and 3 Dimensions 1.9 Shape Matching in 2D & 3D Pattern 1.13 Exercise 1.18 – MCQ Type Questions 1.18 Answers 1.39 Explanations 1.40 Quantitative Aptitude 1. Numbers, Algebra and Data Interpretation 1.1 - 1.18 Numbers 1.1 Numerical Relation 1.1 HCF and LCM 1.2 Progressions 1.3 Algebraic Formulae and Their Application 1.3 (vii) Polynomials 1.3 Inequations 1.4 Quadratic Equation with Application to Inequalities 1.4 Data Interpretation 1.4 Exercise 1.7 – MCQ Type Questions 1.7 – Numerical Type Questions 1.11 Answers 1.12 Explanations 1.12 2. Percentage and Its Applications 2.1 - 2.18 Percentage 2.1 Simple Interest and Compound Interest 2.3 Profit and Loss 2.4 Partnership 2.6 Stocks and Shares 2.7 Exercise 2.9 – MCQ Type Questions 2.9 – Numerical Type Questions 2.11 Answers 2.12 Explanations 2.13 3. Speed, Time and Work 3.1 - 3.19 Speed 3.1 Unit of Measurement 3.1 Boats and Streams 3.4 Linear and Circular Races 3.5 Work & Time 3.7 Pipes and Cisterns 3.9 Exercise 3.11 – MCQ Type Questions 3.11 – Numerical Type Questions 3.12 Answers 3.14 Explanations 3.14 4. Ratio, Proportion and Mixtures 4.1 - 4.10 Ratio 4.1 Proportion 4.3 Variation 4.3 Mixtures and Alligations 4.4 Exercise 4.6 – MCQ Type Questions 4.6 – Numerical Type Questions 4.7 Answers 4.8 Explanations 4.8 5. Permutations-Combinations, Elementary Statistics and Probability 5.1 - 5.14 Permutations-Combination 5.1 Elementary Statistics 5.2 Relation between A.M., G.M. and H.M. 5.5 Probability 5.6 Exercise 5.8 – MCQ Type Questions 5.8 – Numerical Type Questions 5.9 Answers 5.10 Explanations 5.10 6. Miscellaneous 6.1 - 6.21 Linear Equations 6.1 Quadratic Equation 6.2 Geometry and Mensuration 6.3 Congruency of Triangles 6.4 Similarity of Triangles 6.4 Important Terms of Triangle 6.6 Quadrilaterals 6.7 Properties of A Rectangle 6.7 Circles 6.8 Mensuration 6.9 Power and Exponents 6.10 Logarithms 6.11 Exercise 6.12 – MCQ Type Questions 6.12 – Numerical Type Questions 6.15 Answers 6.16 Explanations 6.16 (viii) Mathematics 1. Linear Algebra 1.1 - 1.16 Matrix 1.1 Sub-Matrix 1.3 Addition of Matrices 1.3 Equality of Two Matrices 1.3 Multiplication of Matrices 1.3 Transpose of a Matrix 1.4 Inverse of Matrix 1.4 Minor 1.5 Cofactor 1.5 Rank of a Matrix 1.6 Echelon Form of a Matrix 1.6 Elementary Transformation of a Matrix 1.7 Solution of Simultaneous Linear Equations by Matrix 1.7 Matrix Inversion Method 1.8 Cramer's Rule 1.8 Eigenvalues and Eigenvectors 1.8 Vector Space 1.9 Span 1.9 Span of a Set 1.9 Rank-Nullity Theorem 1.10 Cauchy-Schwaz Inequaltite 1.11 Jordan Form 1.11 — Objective Type Questions 1.12 Answers 1.16 2. Complex Analysis 2.1 - 2.29 Complex Number System 2.1 Analytic Functions 2.1 Mobius Transformation 2.3 Power Series Representation of Analytic Functions 2.3 Zeros of Analytic Functions 2.4 The Index of Closed Curves 2.4 Cauchy's Theorem and Integral Formula 2.4 Homotopic Version of Cauchy's Theorem and Simple Connectivity 2.5 Singularities 2.6 Residues 2.7 The Argument Principle 2.7 The Maximum Modulus Theorem 2.8 Riemann Mapping Theorem 2.9 The Weierstrass Factorization Theorem 2.9 Analytic Continuation and Riemann Surfaces 2.10 — Objective Type Questions 2.11 Answers 2.29 3. Real Analysis 3.1 - 3.30 Euclidean Space 3.1 Important Results 3.1 Fourier Series 3.2 Real Valued Functions of Several Variables 3.3 Partial Derivatives 3.4 Implicit Functions and Inverse Functions 3.5 Extreme for Real Valued Functions 3.5 Line and Surface Integrals 3.5 Sequences and Series of Functions 3.7 Element of Metric Spaces 3.8 Lebesgue Measure 3.10 The Lebesgue Integration 3.12 — Objective Type Questions 3.16 Answers 3.30 4. Ordinary Differential Equations 4.1-4.27 Fundamentals 4.1 First Order Differential Equation 4.1 n-th Order Linear Ordinary Differential Equation 4.3 Second Order Linear Ordinary Differential Equations 4.6 Power Series Method and Special Functions 4.7 Integral Transform 4.9 — Objective Type Questions 4.11 Answers 4.27 (ix) 5. Algebra 5.1 - 5.19 Group 5.1 Sylow’s Theorem and their Applications 5.6 Sylow’s Theorems 5.6 Ring, Integral Domain and Fields 5.7 — Objective Type Questions 5.13 Answers 5.19 6. Functional Analysis 6.1 - 6.15 Banach Spaces 6.1 Sub Spaces 6.1 Hahn Banach Theorem 6.1 Banach Limits 6.2 Banach Spaces, Dual Space 6.2 Uniform Boundedness Principle 6.3 Lemma of Riesz 6.3 Compact Transformation 6.3 Weak Convergence 6.3 Dual of LP 6.4 Dual of C[A, B] and Riesz Representation Theorem 6.4 Open Mapping and Closed Graph Theorem 6.4 Hilbert Spaces 6.4 Projection Theorem and Dual 6.5 Orthonormal Sets and Fourier Expansion 6.5 Muntz Theorem 6.6 Dimension and Riesz-Fischer Theorem 6.6 Reproducing Kernel 6.6 Adjoint Operator 6.6 Bounded Operator 6.7 — Objective Type Questions 6.8 Answers 6.15 7. Numerical Analysis 7.1 - 7.17 Error 7.1 Finite Difference Operators 7.1 Interpolation 7.2 Numerical Solution of Algebraic Equations 7.3 Solution of Linear System of Equations 7.4 Numerical Solution of System of Linear Equations 7.6 Numerical Integration 7.8 Numerical Solution of Ordinary Differential Equation 7.8 — Objective Type Questions 7.10 Answers 7.17 8. Partial Differential Equations 8.1 - 8.24 A. Partial Differential Equations 8.1 Partial Differential Equation of First Order 8.2 Partial Differential Equation with Constant Coefficients 8.3 Partial Differential Equation of Second Order 8.4 Heat Equation 8.6 B. Fourier Transform 8.7 Fourier Series and Integral 8.7 Fourier Sine and Cosine Transforms 8.8 Fourier Transform 8.9 — Objective Type Questions 8.11 Answers 8.24 9. Topology 9.1 - 9.32 Elements of Topological Spaces 9.1 Continuity 9.2 The Product Topology 9.3 Metric Topology 9.3 — Objective Type Questions 9.13 Answers 9.32 10. Probability & Statistics 10.1 - 10.25 Probability 10.1 Sampling 10.1 Standard Error 10.1 Population 10.1 Measures of Central Tendency 10.2 Measures of Dispersion 10.3 Elements of Probability 10.4 Dependent Events 10.5 Law of Total Probability 10.5 (x) Bernoulli Trials 10.5 Random Variable 10.5 Probability Distribution 10.6 1. Discrete Distribution 10.6 2. Continuous Probability Distribution 10.7 Normalized Gaussian Random Variable 10.9 Central Unit Theorem 10.9 Gaussian Process 10.9 Correlation 10.10 — Objective Type Questions 10.15 Answers 10.25 11. Linear Programming 11.1 - 11.20 Convex-set and N-dimensional Space 11.1 Linear Programming Problems (Basic) 11.3 Some Important Theorems 11.5 Linear Programming (Advanced) 11.6 — Objective Type Questions 11.16 Answers 11.20 Mock Tests and Solved Papers Mock Test 1 1.1 – 1.6 Mock Test 2 2.1 – 2.6 Mock Test 3 3.1 – 3.6 Solved Paper 2016 4.1 – 4.15 Solved Paper 2017 5.1 – 5.15 Solved Paper 2018 6.1 – 6.16 Solved Paper 2019 7.1 – 7.16 Solved Paper 2020 8.1 – 8.18 Solved Paper 2021 9.1 – 9.21 Solved Paper 2022 10.1 – 10.24
Summary: The level of competition is fierce, owing to the increasing competition for a limited number of seats. With the right books for preparation, achieving the goal of getting a good rank in GATE becomes a reality. While preparing for GATE, students should make a habit to practice and revise the concepts with both concept clarity and lots of questions for practice. This is where GKP?s Prep Series: GATE 2023: Mathematics, which is prepared by renowned faculties who are subject matter experts, is your best bet to be GATE READY! The entire book has been revised and updated as per the latest exam syllabus. It is divided into units, and chapters and further segmented into topics. The topic-wise analysis of the previous year?s papers and the weightage of each topic is given in each chapter. The questions given to the unit have detailed answers, supported by in-depth explanations and diagrams. It also includes more than 2500+ MCQs and NTQs ans GATE solved papers of 2016-2022. Additionally, students can avail of GATE’s previous years’ solved papers from 2017-2019 online from GK Publication?s website. Book Key Features: 1) Comprehensive theory with concepts 2) Ample questions supplemented with solutions and diagrams 3) Thoroughly revised and updated as per new syllabus 4) 3full-length mock tests.
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Competitive Books CUTN Central Library Competitive Section Reference 510 CHA (Browse shelf(Opens below)) Not For Loan 46116

Preface (xii) About GATE (xiii) GATE Syllabus (xxiii) GENERAL APTITUDE Verbal Aptitude 1. English Grammar 1.1 - 1.16 Errors in Use of Articles 1.1 Use of ‘An’ 1.1 Use of ‘A’ 1.1 Use of ‘The’ 1.1 Errors in Use of Nouns 1.2 Errors in Use of Pronouns 1.2 Parts of Speech 1.3 Noun 1.3 Pronoun 1.3 Verb 1.4 Adjective 1.4 Adverb 1.4 Preposition 1.4 Conjunction 1.4 Interjection 1.5 Errors in Use of Prepositions 1.5 Prepositions of Time 1.5 Prepositions of Position 1.5 Prepositions of Direction 1.5 Other Uses of Preposition 1.5 Words Followed by Prepositions 1.6 Some Special Cases 1.7 Errors in Use of Conjunctions 1.7 Errors in Subject–verb Agreement 1.8 Errors in the Use of Tenses 1.8 Gerund & Infinitive 1.9 Auxiliary Verbs 1.9 Errors in Use of Adjectives 1.10 Errors in Use of Adverbs 1.11 Some More Tips of Usage 1.11 Exercise 1.13 – MCQ Type Questions 1.13 Answers 1.15 Explanations 1.16 2. Sentence Completion 2.1 - 2.10 Skill of vocabulary 2.1 Skill of semantics and syntax 2.1 Skill of identifying clues 2.2 Sentence Completion Strategies 2.2 Thought Continuity Clues 2.3 Parallel Idea Clues 2.3 Thought Reversal Clues 2.3 Cause Effect Clues 2.3 Word Defination Clues 2.4 Exercise 2.5 – MCQ Type Questions 2.5 Answers 2.9 Explanations 2.9


(vi) 3. Synonyms 3.1 - 3.12 Some Important Words With Their Synonyms 3.1 Exercise 3.4 – MCQ Type Questions 3.4 Answers 3.12 4. Antonyms 4.1 - 4.12 Plan to Answer Antonym Questions 4.1 Exercise 4.2 – MCQ Type Questions 4.2 Answers 4.12 5. Miscellaneous 5.1 - 5.26 Vocabulary For Reading Comprehension 5.1 Narrative Sequence 5.2 Speakers 5.4 Jargons 5.4 Phobias, Manias and Complexes 5.5 Words from Myths & Legends 5.7 Words Depicting Subjects of Study 5.8 Words from Characters of Literature 5.9 Words from People's & Place Names 5.10 Young Ones & Crises of Animals 5.11 Group Terms 5.12 Words of Foreign Origin 5.13 Word Frequency 5.15 Word Analogy 5.15 Common Types of Analogy 5.16 Odd Word Out 5.17 Idioms & Phrases 5.17 Exercise 5.18 – MCQ Type Questions 5.18 Answers 5.26 Analytical Aptitude 1. Logical Reasoning Ability 1.1 - 1.50 Reasoning 1.1 Verbal Reasoning 1.1 Analogy 1.6 Classification 1.11 Coding-Decoding 1.12 Blood Relations 1.13 Puzzle Test 1.15 Direction Sense 1.18 Logical Venn Diagrams 1.19 Alphabetical Quibble 1.21 Number, Ranking & Time Sequence 1.21 Mathematical Operations 1.22 Logical Sequence of Words 1.23 Decision Making 1.23 Cubes 1.25 Arrangements 1.26 Clocks 1.28 Calendars 1.30 Deductions 1.31 Data Sufficiency 1.34 Exercise 1.36 – MCQ Type Questions 1.36 – Numerical Type Questions 1.42 Answers 1.43 Explanations 1.44 Spatial Aptitude 1. Spatial Aptitude 1.1 - 1.40 Transformations 1.1 Geometrical Transformations 1.4 Paper Folding and Cutting 1.8 Patterns in 2 and 3 Dimensions 1.9 Shape Matching in 2D & 3D Pattern 1.13 Exercise 1.18 – MCQ Type Questions 1.18 Answers 1.39 Explanations 1.40 Quantitative Aptitude 1. Numbers, Algebra and Data Interpretation 1.1 - 1.18 Numbers 1.1 Numerical Relation 1.1 HCF and LCM 1.2 Progressions 1.3 Algebraic Formulae and Their Application 1.3


(vii) Polynomials 1.3 Inequations 1.4 Quadratic Equation with Application to Inequalities 1.4 Data Interpretation 1.4 Exercise 1.7 – MCQ Type Questions 1.7 – Numerical Type Questions 1.11 Answers 1.12 Explanations 1.12 2. Percentage and Its Applications 2.1 - 2.18 Percentage 2.1 Simple Interest and Compound Interest 2.3 Profit and Loss 2.4 Partnership 2.6 Stocks and Shares 2.7 Exercise 2.9 – MCQ Type Questions 2.9 – Numerical Type Questions 2.11 Answers 2.12 Explanations 2.13 3. Speed, Time and Work 3.1 - 3.19 Speed 3.1 Unit of Measurement 3.1 Boats and Streams 3.4 Linear and Circular Races 3.5 Work & Time 3.7 Pipes and Cisterns 3.9 Exercise 3.11 – MCQ Type Questions 3.11 – Numerical Type Questions 3.12 Answers 3.14 Explanations 3.14 4. Ratio, Proportion and Mixtures 4.1 - 4.10 Ratio 4.1 Proportion 4.3 Variation 4.3 Mixtures and Alligations 4.4 Exercise 4.6 – MCQ Type Questions 4.6 – Numerical Type Questions 4.7 Answers 4.8 Explanations 4.8 5. Permutations-Combinations, Elementary Statistics and Probability 5.1 - 5.14 Permutations-Combination 5.1 Elementary Statistics 5.2 Relation between A.M., G.M. and H.M. 5.5 Probability 5.6 Exercise 5.8 – MCQ Type Questions 5.8 – Numerical Type Questions 5.9 Answers 5.10 Explanations 5.10 6. Miscellaneous 6.1 - 6.21 Linear Equations 6.1 Quadratic Equation 6.2 Geometry and Mensuration 6.3 Congruency of Triangles 6.4 Similarity of Triangles 6.4 Important Terms of Triangle 6.6 Quadrilaterals 6.7 Properties of A Rectangle 6.7 Circles 6.8 Mensuration 6.9 Power and Exponents 6.10 Logarithms 6.11 Exercise 6.12 – MCQ Type Questions 6.12 – Numerical Type Questions 6.15 Answers 6.16 Explanations 6.16


(viii) Mathematics 1. Linear Algebra 1.1 - 1.16 Matrix 1.1 Sub-Matrix 1.3 Addition of Matrices 1.3 Equality of Two Matrices 1.3 Multiplication of Matrices 1.3 Transpose of a Matrix 1.4 Inverse of Matrix 1.4 Minor 1.5 Cofactor 1.5 Rank of a Matrix 1.6 Echelon Form of a Matrix 1.6 Elementary Transformation of a Matrix 1.7 Solution of Simultaneous Linear Equations by Matrix 1.7 Matrix Inversion Method 1.8 Cramer's Rule 1.8 Eigenvalues and Eigenvectors 1.8 Vector Space 1.9 Span 1.9 Span of a Set 1.9 Rank-Nullity Theorem 1.10 Cauchy-Schwaz Inequaltite 1.11 Jordan Form 1.11 — Objective Type Questions 1.12 Answers 1.16 2. Complex Analysis 2.1 - 2.29 Complex Number System 2.1 Analytic Functions 2.1 Mobius Transformation 2.3 Power Series Representation of Analytic Functions 2.3 Zeros of Analytic Functions 2.4 The Index of Closed Curves 2.4 Cauchy's Theorem and Integral Formula 2.4 Homotopic Version of Cauchy's Theorem and Simple Connectivity 2.5 Singularities 2.6 Residues 2.7 The Argument Principle 2.7 The Maximum Modulus Theorem 2.8 Riemann Mapping Theorem 2.9 The Weierstrass Factorization Theorem 2.9 Analytic Continuation and Riemann Surfaces 2.10 — Objective Type Questions 2.11 Answers 2.29 3. Real Analysis 3.1 - 3.30 Euclidean Space 3.1 Important Results 3.1 Fourier Series 3.2 Real Valued Functions of Several Variables 3.3 Partial Derivatives 3.4 Implicit Functions and Inverse Functions 3.5 Extreme for Real Valued Functions 3.5 Line and Surface Integrals 3.5 Sequences and Series of Functions 3.7 Element of Metric Spaces 3.8 Lebesgue Measure 3.10 The Lebesgue Integration 3.12 — Objective Type Questions 3.16 Answers 3.30 4. Ordinary Differential Equations 4.1-4.27 Fundamentals 4.1 First Order Differential Equation 4.1 n-th Order Linear Ordinary Differential Equation 4.3 Second Order Linear Ordinary Differential Equations 4.6 Power Series Method and Special Functions 4.7 Integral Transform 4.9 — Objective Type Questions 4.11 Answers 4.27


(ix) 5. Algebra 5.1 - 5.19 Group 5.1 Sylow’s Theorem and their Applications 5.6 Sylow’s Theorems 5.6 Ring, Integral Domain and Fields 5.7 — Objective Type Questions 5.13 Answers 5.19 6. Functional Analysis 6.1 - 6.15 Banach Spaces 6.1 Sub Spaces 6.1 Hahn Banach Theorem 6.1 Banach Limits 6.2 Banach Spaces, Dual Space 6.2 Uniform Boundedness Principle 6.3 Lemma of Riesz 6.3 Compact Transformation 6.3 Weak Convergence 6.3 Dual of LP 6.4 Dual of C[A, B] and Riesz Representation Theorem 6.4 Open Mapping and Closed Graph Theorem 6.4 Hilbert Spaces 6.4 Projection Theorem and Dual 6.5 Orthonormal Sets and Fourier Expansion 6.5 Muntz Theorem 6.6 Dimension and Riesz-Fischer Theorem 6.6 Reproducing Kernel 6.6 Adjoint Operator 6.6 Bounded Operator 6.7 — Objective Type Questions 6.8 Answers 6.15 7. Numerical Analysis 7.1 - 7.17 Error 7.1 Finite Difference Operators 7.1 Interpolation 7.2 Numerical Solution of Algebraic Equations 7.3 Solution of Linear System of Equations 7.4 Numerical Solution of System of Linear Equations 7.6 Numerical Integration 7.8 Numerical Solution of Ordinary Differential Equation 7.8 — Objective Type Questions 7.10 Answers 7.17 8. Partial Differential Equations 8.1 - 8.24 A. Partial Differential Equations 8.1 Partial Differential Equation of First Order 8.2 Partial Differential Equation with Constant Coefficients 8.3 Partial Differential Equation of Second Order 8.4 Heat Equation 8.6 B. Fourier Transform 8.7 Fourier Series and Integral 8.7 Fourier Sine and Cosine Transforms 8.8 Fourier Transform 8.9 — Objective Type Questions 8.11 Answers 8.24 9. Topology 9.1 - 9.32 Elements of Topological Spaces 9.1 Continuity 9.2 The Product Topology 9.3 Metric Topology 9.3 — Objective Type Questions 9.13 Answers 9.32 10. Probability & Statistics 10.1 - 10.25 Probability 10.1 Sampling 10.1 Standard Error 10.1 Population 10.1 Measures of Central Tendency 10.2 Measures of Dispersion 10.3 Elements of Probability 10.4 Dependent Events 10.5 Law of Total Probability 10.5


(x) Bernoulli Trials 10.5 Random Variable 10.5 Probability Distribution 10.6 1. Discrete Distribution 10.6 2. Continuous Probability Distribution 10.7 Normalized Gaussian Random Variable 10.9 Central Unit Theorem 10.9 Gaussian Process 10.9 Correlation 10.10 — Objective Type Questions 10.15 Answers 10.25 11. Linear Programming 11.1 - 11.20 Convex-set and N-dimensional Space 11.1 Linear Programming Problems (Basic) 11.3 Some Important Theorems 11.5 Linear Programming (Advanced) 11.6 — Objective Type Questions 11.16 Answers 11.20 Mock Tests and Solved Papers Mock Test 1 1.1 – 1.6 Mock Test 2 2.1 – 2.6 Mock Test 3 3.1 – 3.6 Solved Paper 2016 4.1 – 4.15 Solved Paper 2017 5.1 – 5.15 Solved Paper 2018 6.1 – 6.16 Solved Paper 2019 7.1 – 7.16 Solved Paper 2020 8.1 – 8.18 Solved Paper 2021 9.1 – 9.21 Solved Paper 2022 10.1 – 10.24

The level of competition is fierce, owing to the increasing competition for a limited number of seats. With the right books for preparation, achieving the goal of getting a good rank in GATE becomes a reality.

While preparing for GATE, students should make a habit to practice and revise the concepts with both concept clarity and lots of questions for practice.

This is where GKP?s Prep Series: GATE 2023: Mathematics, which is prepared by renowned faculties who are subject matter experts, is your best bet to be GATE READY!

The entire book has been revised and updated as per the latest exam syllabus. It is divided into units, and chapters and further segmented into topics. The topic-wise analysis of the previous year?s papers and the weightage of each topic is given in each chapter.

The questions given to the unit have detailed answers, supported by in-depth explanations and diagrams. It also includes more than 2500+ MCQs and NTQs ans GATE solved papers of 2016-2022.

Additionally, students can avail of GATE’s previous years’ solved papers from 2017-2019 online from GK Publication?s website.

Book Key Features:
1) Comprehensive theory with concepts
2) Ample questions supplemented with solutions and diagrams
3) Thoroughly revised and updated as per new syllabus
4) 3full-length mock tests.

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