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Softcover ISBN:  9780821851661 
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Softcover ISBN:  9780821851661 
Product Code:  MBK/76 
List Price:  $49.00 
MAA Member Price:  $44.10 
AMS Member Price:  $39.20 
eBook ISBN:  9781470416089 
Product Code:  MBK/76.E 
List Price:  $45.00 
MAA Member Price:  $40.50 
AMS Member Price:  $36.00 
Softcover ISBN:  9780821851661 
eBook ISBN:  9781470416089 
Product Code:  MBK/76.B 
List Price:  $94.00 $71.50 
MAA Member Price:  $84.60 $64.35 
AMS Member Price:  $75.20 $57.20 

Book Details2010; 168 ppMSC: Primary 01
This book recounts the extraordinary personal journey and scientific story of Hungarianborn mathematician and physicist Cornelius Lanczos. His life and his mathematical accomplishments are inextricably linked, reflecting the social upheavals and historical events that shaped his odyssey in 20thcentury Hungary, Germany, the United States, and Ireland.
In his life Lanczos demonstrated a remarkable ability to be at the right place, or work with the right person, at the right time. At the start of his scientific career in Germany he worked as Einstein's assistant for one year and stayed in touch with him for years thereafter. Reacting to antiSemitism in Germany in the 1930s, he moved to the United States, where he would work on some of the earliest digital computers at the National Bureau of Standards. After facing suspicion of Communist sympathies during the McCarthy era in the 1950s, Lanczos would relocate once again, joining Schrödinger at the Dublin Institute for Advanced Studies. Gellai's biography analyzes a rich life and a body of work that reaches across many scientific disciplines.
Lanczos made important contributions to several areas of mathematics and mathematical physics. His first major contribution was an exact solution of the Einstein field equations for gravity (in general relativity). He worked out the Fast Fourier Transform, but since there were no machines on which to run it, this accomplishment would be forgotten for 25 years. Once he had access to computers, Lanczos independently rediscovered what is now known as the singular value decomposition, a fundamental tool in numerical methods. Other significant contributions included an important discovery about the Weyl tensor, which is now known as the Lanczos potential, and an important contribution on algorithms for finding eigenvalues of large matrices.
ReadershipUndergraduates, graduate students, and research mathematicians interested in the life and work of a remarkable mathematician and physicist.

Table of Contents

Chapters

Chapter 1. Background

Chapter 2. Family and basic studies

Chapter 3. A change in our world view: The theory of relativity

Chapter 4. Higher studies

Chapter 5. Lanczos’s early research in the theory of relativity

Chapter 6. Contribution to quantum mechanics

Chapter 7. Purdue beginnings

Chapter 8. The educator

Chapter 9. “Why mathematics?”

Chapter 10. Ripples on the old pond’s surface

Chapter 11. The Lanczos Method

Chapter 12. Fulltime research

Chapter 13. Nature’s Pythagorean theorem

Chapter 14. Probing Riemannian space

Epilogue

A brief professional chronology of Cornelius Lanczos

Published papers and books of Cornelius Lanczos


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This book recounts the extraordinary personal journey and scientific story of Hungarianborn mathematician and physicist Cornelius Lanczos. His life and his mathematical accomplishments are inextricably linked, reflecting the social upheavals and historical events that shaped his odyssey in 20thcentury Hungary, Germany, the United States, and Ireland.
In his life Lanczos demonstrated a remarkable ability to be at the right place, or work with the right person, at the right time. At the start of his scientific career in Germany he worked as Einstein's assistant for one year and stayed in touch with him for years thereafter. Reacting to antiSemitism in Germany in the 1930s, he moved to the United States, where he would work on some of the earliest digital computers at the National Bureau of Standards. After facing suspicion of Communist sympathies during the McCarthy era in the 1950s, Lanczos would relocate once again, joining Schrödinger at the Dublin Institute for Advanced Studies. Gellai's biography analyzes a rich life and a body of work that reaches across many scientific disciplines.
Lanczos made important contributions to several areas of mathematics and mathematical physics. His first major contribution was an exact solution of the Einstein field equations for gravity (in general relativity). He worked out the Fast Fourier Transform, but since there were no machines on which to run it, this accomplishment would be forgotten for 25 years. Once he had access to computers, Lanczos independently rediscovered what is now known as the singular value decomposition, a fundamental tool in numerical methods. Other significant contributions included an important discovery about the Weyl tensor, which is now known as the Lanczos potential, and an important contribution on algorithms for finding eigenvalues of large matrices.
Undergraduates, graduate students, and research mathematicians interested in the life and work of a remarkable mathematician and physicist.

Chapters

Chapter 1. Background

Chapter 2. Family and basic studies

Chapter 3. A change in our world view: The theory of relativity

Chapter 4. Higher studies

Chapter 5. Lanczos’s early research in the theory of relativity

Chapter 6. Contribution to quantum mechanics

Chapter 7. Purdue beginnings

Chapter 8. The educator

Chapter 9. “Why mathematics?”

Chapter 10. Ripples on the old pond’s surface

Chapter 11. The Lanczos Method

Chapter 12. Fulltime research

Chapter 13. Nature’s Pythagorean theorem

Chapter 14. Probing Riemannian space

Epilogue

A brief professional chronology of Cornelius Lanczos

Published papers and books of Cornelius Lanczos