From Linear Operators to Computational Biology

This book offers essays by friends, students and collaborators of Jacob T. Schwartz at the Courant Institute of Mathematical Sciences, on topics Schwartz explored: quantum theory, theory and practice of programming, robotics, motion planning and genomics.

In his rich and varied career as a mathematician, computer scientist, and educator, Jacob T. Schwartz wrote seminal works in analysis, mathematical economics, programming languages, algorithmics, and computational geometry. In this volume of essays, his friends, students, and collaborators at the Courant Institute of Mathematical Sciences present recent results in some of the fields that Schwartz explored: quantum theory, the theory and practice of programming, program correctness and decision procedures, dextrous manipulation in Robotics, motion planning, and genomics. In addition to presenting recent results in these fields, these essays illuminate the astonishingly productive trajectory of a brilliant and original scientist and thinker.

Contributions by leading researchers in their fields

Technical contributions spanning various areas of Computer Science and Physics

Explores the many fields in which Jacob T. Schwartz excelled: theorem proving, robotics, complexity theory, motion planning, and the foundations of quantum theory, amongst others

Includes supplementary material: sn.pub/extras

Inhalt

Foreword.- Introduction.- Nature as Quantum Computer.- Jack Schwartz Meets Karl Marx.- SETL and the Evolution of Programming.- Decision Procedure for Elementary Sublanguages of Set Theory XVII: Commonly Occurring Decidable Extensions of Multi-level Syllogistic.- Jack Schwartz and Robotics: The Roaring Eighties.- Mathematics' Mortua Manus: Discovering Dexterity.- The Ref Proof-checker and its Common Shared Scenario.- Claw-free Graphs as Sets.- Computational approaches to RNAi and Gene Silencing.- The Last Ten Yards.- Jacob T. Schwartz: Selected Bibliography.- Index.