Conceptual Dynamic Programming : Optimal Coding Simplified
Conceptual Dynamic Programming : Optimal Coding Simplified
About the Book
Programming is fun though largely intuitive and less predictable ! Conceptual Programming is more fun and predictable, hence more reliable !!
Includes 300+ solved problems in C++ and Pseudo-code !!!
Includes basic algorithms with inductive proofs !!!
This book provides conceptual approach to understanding, applying and extending the computational aspect of dynamic programming. This leads to simplification of optimal coding paradigm and enforces correctness as a part of program design with great emphasis on foundational science of dynamic Programming. Familiarity with elementary calculus and probability is assumed. Though aimed primarily at programmers, it imparts the knowledge of deep internals of underlying mathematical concepts to teachers alike.
Care has been taken, as in the forthcoming ones, to present the solutions with multi-concepts and beyond in a simple natural manner, in order to meet the difficulties which are most likely to arise, and to render the work intelligible and instructive.
This work contains several variations of problems, solutions, methods, approaches to enrich, strengthen and enliven the inherent multi-concepts.
Table of Contents
- Chapter 1 : Genesis
- 1.1 Optimal Loot Partition
- 1.1.1 Deterministic
- 1.1.2 Stochastic
- 1.2 Exam Prep
- 1.3 Optimal Coin Tossing
- 1.4 Proving Optimality Principle
- 1.1 Optimal Loot Partition
- Chapter 2 : Computation
- 2.1 Ascension to Heaven
- 2.2 Fibonacci Line Search
- 2.3 Coin Change
- 2.4 Constrained Subsequence
- 2.4.1 Maximum Sum
- 2.4.2 Maximum Product
- 2.5 Stock Trading
- 2.6 Binary Tree Mall Loot
- 2.7 Binary Search Tree Generation
- 2.8 Quantify Yogic Effect
- 2.9 Stairway to Heaven
- 2.9.1 Stairway
- 2.9.2 Kriya Grid
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