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Mathematics and Computation presents a panoramic view of the theory of computation, starting from its origins in the 1930s to modern directions and developments, with an emphasis on the latter. With impressive breadth and depth, this book covers an amazing amount of ground. --Mark Braverman, Princeton University This wonderful exposition of modern complexity theory distills complex arguments down to their main insights, and deftly explains the interconnections between entire subfields. This book will have a major impact on the way we teach complexity theory, and the way that graduate students in the field learn it. --Ankur Moitra, Massachusetts Institute of Technology

This is a remarkable book. It surveys the entire current scope of theoretical computer science, in a way only Avi Wigderson, our field's consummate generalist, could do. It also sets out Wigderson's vision for the future and his sociological thoughts about theoretical computer science and its interactions with neighboring fields. I recommend it to anyone looking for a panoramic view of the subject. --Scott Aaronson, University of Texas, Austin A beautiful panoramic view of theoretical computer science, by a giant in the field. A must-read. --Ryan O'Donnell, Carnegie Mellon University Mathematics and Computation presents a panoramic view of the theory of computation, starting from its origins in the 1930s to modern directions and developments, with an emphasis on the latter. With impressive breadth and depth, this book covers an amazing amount of ground. --Mark Braverman, Princeton University This wonderful exposition of modern complexity theory distills complex arguments down to their main insights, and deftly explains the interconnections between entire subfields. This book will have a major impact on the way we teach complexity theory, and the way that graduate students in the field learn it. --Ankur Moitra, Massachusetts Institute of Technology

Mathematics and Computation presents a panoramic view of the theory of computation, starting from its origins in the 1930s to modern directions and developments, with an emphasis on the latter. With impressive breadth and depth, this book covers an amazing amount of ground. --Mark Braverman, Princeton University This wonderful exposition of modern complexity theory distills complex arguments down to their main insights, and deftly explains the interconnections between entire subfields. This book will have a major impact on the way we teach complexity theory, and the way that graduate students in the field learn it. --Ankur Moitra, Massachusetts Institute of Technology This is a remarkable book. It surveys the entire current scope of theoretical computer science, in a way only Avi Wigderson, our field's consummate generalist, could do. It also sets out Wigderson's vision for the future and his sociological thoughts about theoretical computer science and its interactions with neighboring fields. I recommend it to anyone looking for a panoramic view of the subject. --Scott Aaronson, University of Texas, Austin This book is a real gem. Avi Wigderson has woven together very big and deep ideas from the field, such as pseudorandomness and hardness of computation, in a way that is accessible to a general scientific audience. --Toniann Pitassi, University of Toronto A beautiful, broad view of theoretical computer science, by a giant in the field. A must-read. --Ryan O'Donnell, Carnegie Mellon University A delightful, lucid, and personal guide that perfectly captures the spirit of the field, and does full justice to both its depth and breadth. --Leslie Valiant, Harvard University

This book is a real gem. Avi Wigderson has woven together very big and deep ideas from the field, such as pseudorandomness and hardness of computation, in a way that is accessible to a general scientific audience. --Toniann Pitassi, University of Toronto A delightful, lucid, and personal guide that perfectly captures the spirit of the field, and does full justice to both its depth and breadth. --Leslie Valiant, Harvard University A beautiful, broad view of theoretical computer science, by a giant in the field. A must-read. --Ryan O'Donnell, Carnegie Mellon University This is a remarkable book. It surveys the entire current scope of theoretical computer science, in a way only Avi Wigderson, our field's consummate generalist, could do. It also sets out Wigderson's vision for the future and his sociological thoughts about theoretical computer science and its interactions with neighboring fields. I recommend it to anyone looking for a panoramic view of the subject. --Scott Aaronson, University of Texas, Austin Mathematics and Computation presents a panoramic view of the theory of computation, starting from its origins in the 1930s to modern directions and developments, with an emphasis on the latter. With impressive breadth and depth, this book covers an amazing amount of ground. --Mark Braverman, Princeton University This wonderful exposition of modern complexity theory distills complex arguments down to their main insights, and deftly explains the interconnections between entire subfields. This book will have a major impact on the way we teach complexity theory, and the way that graduate students in the field learn it. --Ankur Moitra, Massachusetts Institute of Technology

Author Information

Avi Wigderson is the Herbert H. Maass Professor in the School of Mathematics at the Institute for Advanced Study in Princeton. He is a recipient of the Turing Award, the highest distinction in computer science, and the Abel Prize, widely considered to be the highest recognition of impact in mathematics.

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