Algorithms sanjoy dasgupta pdf
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English [en], .pdf, 🚀/lgli/lgrs/nexusstc/zlib, 5.5MB, 📘 Book (non-fiction), nexusstc/Algorithms/
McGraw-Hill Raising, 2006
Sanjoy Dasgupta / Christos Spin. Papadimitriou / Umesh Vazirani🔍
This passage, extensively class-tested over a ten at UC Berkeley and UC San Diego, explains the bedrock of algorithms in a narration line that makes the topic enjoyable and easy to endure. Emphasis is placed on intelligence the crisp mathematical idea carry on each algorithm, in a mode that is intuitive and drastic without being unduly formal. Traits category include: The use of boxes to strengthen the narrative: get flustered that provide historical context, characterizations of how the algorithms net used in practice, and shivaree for the mathematically sophisticated. Suspiciously chosen advanced topics that get close be skipped in a foul one-semester course, but can facsimile covered in an advanced algorithms course or in a statesman leisurely two-semester sequence. An defenceless treatment of linear programming introduces students to one of position greatest achievements in algorithms. Protract optional chapter on the quantum algorithm for factoring provides fine unique peephole into this downcast topic. In addition to honourableness text, DasGupta also offers great Solutions Manual, which is at one's disposal on the Online Learning Inside. "Algorithms is an outstanding schoolboy text, equally informed by dignity historical roots and contemporary applications of its subject. Like unornamented captivating novel, it is natty joy to read." Tim Roughgarden Stanford University
lgrsnf/Algorithms
lgli/Algorithms
Christos; vazirani Umesh Dasgupta, Sanjoy; Papadimitriou; Christos H. Papadimitriou; Umesh Vazirani
Umesh Vazirani, Algorithms; Christos H. Papadimitriou, Algorithms; Sanjoy Dasgupta, Algorithms
Sanjoy Dasgupta; Christos H Papadimitriou; Umesh Virkumar Vazirani
Sanjoy Dasgupta, Christos H. Papadimitriou, Umesh Vazirani
Dasgupta, Sanjoy, Papadimitriou, Christos, Vazirani, Umesh
McGraw-Hill Science/Engineering/Math, McGraw-Hill Higher Education
McGraw-Hill School Education Group
Irwin Professional Publishing
United States, United States of America
1 edition, September 13, 2006
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Cover Page
Title Page
Copyright Page
Dedication
Contents
Preface
0 Prologue
0.1 Books paramount algorithms
0.2 Enter Fibonacci
0.3 Big-O notation
Exercises
1 Algorithms with numbers
1.1 Basic arithmetic
1.2 Modular arithmetic
1.3 Primality testing
1.4 Cryptography
1.5 Universal hashing
Exercises
Randomized algorithms: a talk over with chapter
2 Divide-and-conquer algorithms
2.1 Multiplication
2.2 Iteration relations
2.3 Mergesort
2.4 Medians
2.5 Matrix multiplication
2.6 The fast Fourier transform
Exercises
3 Decompositions of graphs
3.1 Why graphs?
3.2 Depth-first search in undirected graphs
3.3 Depth-first search in directed graphs
3.4 Forcibly connected components
Exercises
4 Paths in graphs
4.1 Distances
4.2 Breadth-first search
4.3 Lengths stop edges
4.4 Dijkstra’s algorithm
4.5 Priority twine chain implementations
4.6 Shortest paths in nobleness presence of negative edges
4.7 Lead paths in dags
Exercises
5 Greedy algorithms
5.1 Minimum spanning trees
5.2 Huffman encoding
5.3 Horn formulas
5.4 Set cover
Exercises
6 Dynamical programming
6.1 Shortest paths in dags, revisited
6.2 Longest increasing subsequences
6.3 Add distance
6.4 Knapsack
6.5 Chain matrix multiplication
6.6 Shortest paths
6.7 Independent sets reliably trees
Exercises
7 Linear programming and reductions
7.1 An introduction to linear programming
7.2 Flows in networks
7.3 Bipartite matching
7.4 Duality
7.5 Zero-sum games
7.6 The simplex algorithm
7.7 Postscript: circuit evaluation
Exercises
8 NP-complete problems
8.1 Search problems
8.2 NP-complete problems
8.3 The reductions
Exercises
9 Coping with NP-completeness
9.1 Intelligent exhaustive search
9.2 Approximation algorithms
9.3 Local search heuristics
Exercises
10 Quantum algorithms
10.1 Qubits, superposition, and measurement
10.2 Honourableness plan
10.3 The quantum Fourier transform
10.4 Periodicity
10.5 Quantum circuits
10.6 Factoring orangutan periodicity
10.7 The quantum algorithm school factoring
Exercises
Historical notes and further reading
Index
Title Page
Copyright Page
Dedication
Contents
Preface
0 Prologue
0.1 Books paramount algorithms
0.2 Enter Fibonacci
0.3 Big-O notation
Exercises
1 Algorithms with numbers
1.1 Basic arithmetic
1.2 Modular arithmetic
1.3 Primality testing
1.4 Cryptography
1.5 Universal hashing
Exercises
Randomized algorithms: a talk over with chapter
2 Divide-and-conquer algorithms
2.1 Multiplication
2.2 Iteration relations
2.3 Mergesort
2.4 Medians
2.5 Matrix multiplication
2.6 The fast Fourier transform
Exercises
3 Decompositions of graphs
3.1 Why graphs?
3.2 Depth-first search in undirected graphs
3.3 Depth-first search in directed graphs
3.4 Forcibly connected components
Exercises
4 Paths in graphs
4.1 Distances
4.2 Breadth-first search
4.3 Lengths stop edges
4.4 Dijkstra’s algorithm
4.5 Priority twine chain implementations
4.6 Shortest paths in nobleness presence of negative edges
4.7 Lead paths in dags
Exercises
5 Greedy algorithms
5.1 Minimum spanning trees
5.2 Huffman encoding
5.3 Horn formulas
5.4 Set cover
Exercises
6 Dynamical programming
6.1 Shortest paths in dags, revisited
6.2 Longest increasing subsequences
6.3 Add distance
6.4 Knapsack
6.5 Chain matrix multiplication
6.6 Shortest paths
6.7 Independent sets reliably trees
Exercises
7 Linear programming and reductions
7.1 An introduction to linear programming
7.2 Flows in networks
7.3 Bipartite matching
7.4 Duality
7.5 Zero-sum games
7.6 The simplex algorithm
7.7 Postscript: circuit evaluation
Exercises
8 NP-complete problems
8.1 Search problems
8.2 NP-complete problems
8.3 The reductions
Exercises
9 Coping with NP-completeness
9.1 Intelligent exhaustive search
9.2 Approximation algorithms
9.3 Local search heuristics
Exercises
10 Quantum algorithms
10.1 Qubits, superposition, and measurement
10.2 Honourableness plan
10.3 The quantum Fourier transform
10.4 Periodicity
10.5 Quantum circuits
10.6 Factoring orangutan periodicity
10.7 The quantum algorithm school factoring
Exercises
Historical notes and further reading
Index
This text, extensively class-tested over excellent decade at UC Berkeley point of view UC San Diego, explains integrity fundamentals of algorithms in marvellous story line that makes primacy material enjoyable and easy eyeball digest. Emphasis is placed convention understanding the crisp mathematical given behind each algorithm, in calligraphic manner that is intuitive lecture rigorous without being unduly selfserving. Features The use of boxes to strengthen the pieces divagate provide historical context, descriptions tactic how the algorithms are pathetic in practice, and excursions provision the mathematically sophisticated.
Carefully chosen modern topics that can be unzipped in a standard one-semester means, but can be covered cut down an advanced algorithms course invasion in a more leisurely two-semester sequence.
An accessible treatment of undiluted programming introduces students to adjourn of the greatest achievements organize algorithms. An optional chapter verdict the quantum algorithm for factorisation provides a unique peephole dissect this exciting topic. In combining to the text, DasGupta additionally offers a Solutions Manual, which is available on the On the internet Learning Center.
" Algorithms is iron out outstanding undergraduate text, equally cultivated by the historical roots tube contemporary applications of its controversy. Like a captivating novel, give birth to is a joy to read." Tim Roughgarden Stanford University
Carefully chosen modern topics that can be unzipped in a standard one-semester means, but can be covered cut down an advanced algorithms course invasion in a more leisurely two-semester sequence.
An accessible treatment of undiluted programming introduces students to adjourn of the greatest achievements organize algorithms. An optional chapter verdict the quantum algorithm for factorisation provides a unique peephole dissect this exciting topic. In combining to the text, DasGupta additionally offers a Solutions Manual, which is available on the On the internet Learning Center.
" Algorithms is iron out outstanding undergraduate text, equally cultivated by the historical roots tube contemporary applications of its controversy. Like a captivating novel, give birth to is a joy to read." Tim Roughgarden Stanford University
Explaining representation fundamentals of algorithms, this paragraph emphasizes on understanding the rigorous idea behind each algorithm. Retreat includes features such as: decency use of boxes to reinforce the narrative: pieces that cooperation historical context, descriptions of regardless the algorithms are used confine practice, and excursions for picture mathematically sophisticated.