Background
Schwartz, Jacob T. was born on January 9, 1930 in New York City. Son of Ignatz and Hedwig (Kurzbart) Schwartz.
( First formulated in the early years of the 20th century...)
First formulated in the early years of the 20th century, Einstein's theories of relativity overturned long-held concepts of space and time. They provided a radically new way of looking at the physical world and explanations for many questions unanswered by classical physics. Unfortunately, many laypeople consider relativity so abstruse and complicated that they despair of ever understanding it. In reality, the ideas, although profound, are quite simple. That simplicity is strikingly illuminated in this delightfully nontechnical book, which explains relativity in a straightforward, carefully illustrated manner the intelligent layperson can understand. A little high-school geometry will enable the reader to follow the discussion. Moreover, the book includes more than 60 drawings to illustrate concepts more clearly than verbal explanations could ever do. Beginning with the questions "What is Time?" and "What is Space?" the author gradually introduces concepts from ordinary geometry needed to follow the development of Einstein's ideas. Having grasped this foundation, the reader is prepared to understand the specific nature and ramifications of relativity theory. To further increase comprehension, the book is planned so that the text and illustrations face each other on a two-page spread, making it easy for the reader to refer from the text to the illustrations. Clear, engrossing and well-balanced, this remarkably accessible treatment offers an ideal introduction to one of the most important physical theories of the 20th century. It can be read with profit by high-school and college students, teachers, scientists, or any reader fascinated by Einstein's epoch-making theories and their far-reaching implications.
http://www.amazon.com/gp/product/048625965X/?tag=2022091-20
(Relativity in Illustrations by Schwartz, Jacob T. [Dover ...)
Relativity in Illustrations by Schwartz, Jacob T. [Dover Publications, 2012] ...
http://www.amazon.com/gp/product/B00M3SFFD4/?tag=2022091-20
(Lectures by Jacob T. Schwartz, with notes by N. Fattorini...)
Lectures by Jacob T. Schwartz, with notes by N. Fattorini, H. Porta, and R. Nirenberg. Includes Basic Calculus, Hard Implicit Functional Theorems, Degree Theory and Applications, Morse Theory on Hilbert Manifolds, Category, Applications of Morse Theory to Calculus of Variations in the Large, and Applications.
http://www.amazon.com/gp/product/B0043WB4K6/?tag=2022091-20
( First formulated in the early years of the 20th century...)
First formulated in the early years of the 20th century, Einstein's theories of relativity overturned long-held concepts of space and time. They provided a radically new way of looking at the physical world and explanations for many questions unanswered by classical physics. Unfortunately, many laypeople consider relativity so abstruse and complicated that they despair of ever understanding it. In reality, the ideas, although profound, are quite simple. That simplicity is strikingly illuminated in this delightfully nontechnical book, which explains relativity in a straightforward, carefully illustrated manner the intelligent layperson can understand. A little high-school geometry will enable the reader to follow the discussion. Moreover, the book includes more than 60 drawings to illustrate concepts more clearly than verbal explanations could ever do. Beginning with the questions "What is Time?" and "What is Space?" the author gradually introduces concepts from ordinary geometry needed to follow the development of Einstein's ideas. Having grasped this foundation, the reader is prepared to understand the specific nature and ramifications of relativity theory. To further increase comprehension, the book is planned so that the text and illustrations face each other on a two-page spread, making it easy for the reader to refer from the text to the illustrations. Clear, engrossing and well-balanced, this remarkably accessible treatment offers an ideal introduction to one of the most important physical theories of the 20th century. It can be read with profit by high-school and college students, teachers, scientists, or any reader fascinated by Einstein's epoch-making theories and their far-reaching implications.
http://www.amazon.com/gp/product/B00YFV23FU/?tag=2022091-20
(Relativity in Illustrations by Schwartz, Jacob T. [Dover ...)
Relativity in Illustrations by Schwartz, Jacob T. [Dover Publications, 2012] ...
http://www.amazon.com/gp/product/B00M3SFFD4/?tag=2022091-20
( Devoted to the theory of Lie algebras and algebraic gro...)
Devoted to the theory of Lie algebras and algebraic groups, this book includes a large amount of commutative algebra and algebraic geometry so as to make it as self-contained as possible. The aim of the book is to assemble in a single volume the algebraic aspects of the theory, so as to present the foundations of the theory in characteristic zero. Detailed proofs are included, and some recent results are discussed in the final chapters.
http://www.amazon.com/gp/product/3540241701/?tag=2022091-20
( Devoted to the theory of Lie algebras and algebraic gro...)
Devoted to the theory of Lie algebras and algebraic groups, this book includes a large amount of commutative algebra and algebraic geometry so as to make it as self-contained as possible. The aim of the book is to assemble in a single volume the algebraic aspects of the theory, so as to present the foundations of the theory in characteristic zero. Detailed proofs are included, and some recent results are discussed in the final chapters.
http://www.amazon.com/gp/product/3540241701/?tag=2022091-20
Schwartz, Jacob T. was born on January 9, 1930 in New York City. Son of Ignatz and Hedwig (Kurzbart) Schwartz.
Bachelor of Science, City College of New York, 1948. Doctor of Philosophy, Yale University, 1951.
Instructor, Computer Science Department, Yale University 1951-1953, Assistant Professor 1953-1956. Association Professor, of Math, and Computer Science, New York University 1957-1958, Professor since 1958. Chairman Computer Science Department, Courant Institute of Mathematical Sciences, New York University 1969-1977, now Director.
Association; Lecturer, University of California, Santa Barbara 1978, Massachusetts Institute of Technology 1980. Wilbur Cross.
( Devoted to the theory of Lie algebras and algebraic gro...)
( Devoted to the theory of Lie algebras and algebraic gro...)
( First formulated in the early years of the 20th century...)
( First formulated in the early years of the 20th century...)
(Relativity in Illustrations by Schwartz, Jacob T. [Dover ...)
(Relativity in Illustrations by Schwartz, Jacob T. [Dover ...)
(Lectures by Jacob T. Schwartz, with notes by N. Fattorini...)
Author: books including Linear Operators, volunteer I, 1958, Linear Operators, volunteer II, 1963, Linear Operators, volunteer III, 1970, Matrices and Vectors for High-Schools and Colleges, 1961, Relativity in Illustrations, 1962, Lectures on the Mathematical Method in Analytical Economics, 2 vols., 1962. (with M. Hausner) Lie Groups: Lie Algebras, 1967, Lectures on Nonlinear Functional Analysis, 1968, Lectures on Differential Geometry and Topology, 1969, (with John Cocke) Programming Languages and Their Compilers, (with E. Schonberg, R. Dewar) Higher Level Programming: An Introduction to the Set-Theoretic SETL, 1981.
Member National Academy of Sciences, American Academy Arts and Sciences, American Mathematics Society (vice president 1984), National Academy of Engineering.
History, music.
Married Doctor Allen (divorced). Married Sandra Weiner (divorced). Married Diane; children: Rachel Fainman, Abby.