Conceptual Dynamic Programming : Optimal Coding Simplified
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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.

About the Author

Chandra Shekhar Kumar
Chandra Shekhar Kumar

Chandra Shekhar Kumar is Staff Software Architect @ GE Healthcare (Ultrasound Digital Solutions). In an innovator role, he is actively involved in digital Innovation in Ultrasound ecosystem (premise, edge and cloud) including (but not limited to) C++17/20/23, Boost C++ Libraries, WineLib, Qt, wxWidgets, WebAssembly,, Hashicorp Nomad and Rust. Motto is to build once and run everywhere using the same code base (using and extending WebAssembly Infrastructure)

He is Co-Founder of Ancient Science Publishers (estd.2014), a venture to publish monographs on mathematics, physics and computer science and render services related to hiring technical talents, training for competitive programming, algorithms, programming interviews, IITJEE and Olympiads. Inspiration for this undertaking came from the writings of Leonhard Euler (mathematics), Richard Phillips Feynman (physics) and Edsger Wybe Dijkstra (computer science).

He is Founder of Ancient Kriya Yoga Mission (estd.2013), a venture to disseminate simple techniques of ancient science of living and publish kriya yoga scriptures and commentaries.

He holds a degree of Integrated M.Sc.(5 yrs) in Physics from IIT Kanpur.

He has worked with software companies like Trilogy, Oracle and few start-ups.

He has been programming in C++ for the last 22 years. He loves to hack gcc, gdb, valgrind, clang, boost, TeX, LaTeX and pours inside the works of Dijkstra and Knuth.

Table of Contents

  1. Chapter 1 : Genesis
    1. 1.1 Optimal Loot Partition
      1. 1.1.1 Deterministic
      2. 1.1.2 Stochastic
    2. 1.2 Exam Prep
    3. 1.3 Optimal Coin Tossing
    4. 1.4 Proving Optimality Principle
  2. Chapter 2 : Computation
    1. 2.1 Ascension to Heaven
    2. 2.2 Fibonacci Line Search
    3. 2.3 Coin Change
    4. 2.4 Constrained Subsequence
      1. 2.4.1 Maximum Sum
      2. 2.4.2 Maximum Product
    5. 2.5 Stock Trading
    6. 2.6 Binary Tree Mall Loot
    7. 2.7 Binary Search Tree Generation
    8. 2.8 Quantify Yogic Effect
    9. 2.9 Stairway to Heaven
      1. 2.9.1 Stairway
      2. 2.9.2 Kriya Grid

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