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Who It's For
What This Book Teaches
Access: Student
Status: Requires Student
Author: Garonzick D. Hall
Use Cases
Where You Will Use This
Memory Shape
How a structure arranges information — and what that arrangement makes legal.
Access Behavior
How you find, scan, update, and retrieve under a given shape.
Guarantees + Tradeoffs
What becomes easy, and what becomes expensive, under each contract.
Families of Structures
Arrays, linked structures, hash structures, trees, heaps, and graph representations.
Topics
Major Areas Covered
Memory Shape
Access Behavior
Guarantees + Tradeoffs
Families of Structures
Contiguity Creates Index Math
Links Create Traversal Cost
Ordering Creates Elimination Power
Hierarchy Creates Controlled Exploration
Selection by Proof
Bridge to Algorithm Language
What You'll Learn
Core Learning Outcomes
Memory Shape
How a structure arranges information — and what that arrangement makes legal.
Access Behavior
How you find, scan, update, and retrieve under a given shape.
Guarantees + Tradeoffs
What becomes easy, and what becomes expensive, under each contract.
Families of Structures
Arrays, linked structures, hash structures, trees, heaps, and graph representations.
Contiguity Creates Index Math
Shape is not decoration. Contiguity decides how you reach.
Links Create Traversal Cost
References make movement deliberate — and costly where shape forgets.
Ordering Creates Elimination Power
Order is a constraint that enables lawful movement.
Hierarchy Creates Controlled Exploration
Trees organize branching into repeatable structure.
Selection by Proof
Choosing structure as a way to protect correctness — not as a matter of taste.
Bridge to Algorithm Language
Once the machinery is clear, movement becomes execution.
Who It's For
Built for These Readers
Developers who reach for containers without a reason
Engineers preparing for interviews who want structure selection to feel certain
Students who memorized data structure APIs but not the contracts
Anyone connecting memory shape to algorithmic correctness
Developers ready for the concrete layer beneath proof-first reasoning
Where It Fits
Where This Book Fits
Stop Choosing Structures
When you can answer what access is guaranteed, what update is expensive, and what invariant must remain true, you stop ‘choosing’ a structure — you start proving the structure is necessary.
Shape Creates Legality
Contiguity creates index math. Links create traversal cost. Ordering creates elimination power. Hierarchy creates controlled exploration. The method of a structure is written in its shape.
After the Book
What You Should Be Able To Do
Memory Shape
How a structure arranges information — and what that arrangement makes legal.
Access Behavior
How you find, scan, update, and retrieve under a given shape.
Guarantees + Tradeoffs
What becomes easy, and what becomes expensive, under each contract.
Unlock the Full Book Library
Data Structures by Proof is included with Master DSA Access, which also unlocks Book Zero and every current algorithm book from Correct Code Press.