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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.

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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.

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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.

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