Tracy Yerkes Thomas
American mathematician
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Mathematics
Tracy Yerkes Thomas's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
- Bachelors Mathematics University of California, Berkeley
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(Suggest an Edit or Addition)According to Wikipedia, Tracy Yerkes Thomas was an American mathematician. Biography Thomas received his A.B. in 1921 from Rice University and then his A.M. in 1922 and Ph.D. in 1923 from Princeton University. For the academic year 1923–1924 he was a National Research Fellow in Physics at the University of Chicago and in the academic year 1924–1925 a postdoc in Zürich. For the academic year 1925–1926 he was a National Research Fellow in Mathematics at Harvard University and then Princeton University, where he was on the mathematics faculty from 1926 to 1938. From 1938 to 1944 he was a professor at the University of California, Los Angeles. From 1944 to 1969 he was a professor at Indiana University. In 1952, he was one of the founders of the Journal of Rational Mechanics and Analysis, which is now known as the Indiana University Mathematics Journal.
Tracy Yerkes Thomas's Published Works
Published Works
- On Conformal Geometry. (1926) (267)
- Concepts from Tensor Analysis and Differential Geometry (1964) (91)
- The geometry of paths (1923) (76)
- On the Projective and Equi-Projective Geometries of Paths. (1925) (74)
- A projective theory of affinely connected manifolds (1926) (55)
- On Curved Shock Waves (1947) (49)
- On the stress-strain relations for cubic crystals. (1966) (46)
- The general theory of compatibility conditions (1966) (45)
- Riemann spaces of class one and their characterization (1936) (40)
- Announcement of a Projective Theory of Affinely Connected Manifolds. (1925) (36)
- Systems of Total Differential Equations Defined Over Simply Connected Domains (1934) (28)
- KINEMATICALLY PREFERRED CO-ORDINATE SYSTEMS. (1955) (28)
- On Closed Spaces of Constant Mean Curvature (1936) (25)
- On Normal Coördinates. (1936) (24)
- COMBINED ELASTIC AND PRANDTL-REUSS STRESS-STRAIN RELATIONS. (1955) (24)
- Conformal Tensors. (First Note.). (1932) (23)
- Qualitative Analysis of the Flow of Fluids in Pipes (1942) (23)
- ON THE STRUCTURE OF THE STRESS-STRAIN RELATIONS. (1955) (22)
- The Fundamental Theorem on Quadratic First Integrals. (1946) (18)
- GRAVITATIONAL COLLAPSE. (1964) (16)
- Extensions of relative tensors (1924) (14)
- Calculation of Curvatures of Attached Shock Waves (1948) (14)
- Hypersurfaces in Einstein-Riemann space and their compatibility conditions (1963) (13)
- The Consistency Relations for Shock Waves (1949) (13)
- The decomposition of Riemann spaces in the large (1939) (13)
- The determination of pressure on curved bodies behind shocks (1950) (13)
- Invariants of Relative Quadratic Differential Forms. (1925) (12)
- ON THE GEODESIC HYPOTHESIS IN THE THEORY OF GRAVITATION. (1962) (12)
- COMBINED ELASTIC AND VON MISES STRESS-STRAIN RELATIONS. (1955) (12)
- The Fundamental Hydrodynamical Equations and Shock Conditions for Gases (1949) (12)
- Foundations of the Theory of Lie Groups (1935) (12)
- INTERDEPENDENCE OF THE YIELD CONDITION AND THE STRESS-STRAIN RELATIONS FOR PLASTIC FLOW. (1954) (11)
- Extract from a Letter by E. Cartan Concerning my Note: On Closed Spaces of Constant Mean Curvature (1937) (9)
- Differential Invariants of Affiniely Connected Manifolds (9)
- Tensors Whose Components are Absolute Constants (1926) (9)
- The Distribution of Singular Shock Directions (1949) (8)
- On the Uniform Convergence of the Solutions of the Navier-Stokes Equations. (1943) (7)
- The Replacement Theorem and Related Questions in the Projective Geometry of Paths (7)
- On the propagation and decay of gravitational waves (1961) (7)
- On Conditions for Steady Plane Flow with Shock Waves (1949) (7)
- PRESSURE SHOCKS IN VISCOUS HEAT-CONDUCTING GASES. (1961) (7)
- Deformation Energy and the Stress-Strain Relations for Isotropic Materials (1956) (6)
- On the Transformation of the Equations of Dynamics (1946) (6)
- The identities of affinely connected manifolds (1926) (6)
- The Effect of Compressibility on the Inclination of Plastic Slip Bands in Flat Bars. (1953) (5)
- On the Projective Theory of Two Dimensional Riemann Spaces. (1945) (5)
- Slip and fracture in brittle solids (1967) (5)
- Theoretical effect of large hydrostatic pressures on the tensile strength of materials. (1967) (5)
- Determination of affine and metric spaces by their differential invariants (1929) (5)
- Conformal Tensors. (Second Note.). (1932) (5)
- On the Inclination of Plastic Slip Bands in Flat Bars in Tension Tests. (1953) (4)
- On the Unified Field Theory: III. (1931) (4)
- Algebraic determination of the second fundamental form of a surface by its mean curvature (1945) (4)
- Differential Invariants of Relative Quadratic Differential Forms (4)
- The dynamics of discontinuity surfaces in general relativity theory (1963) (4)
- The concept of invariance in mathematics (1944) (4)
- Imbedding theorems in differential geometry (1939) (4)
- ON THE UNIFIED FIELD THEORY. I. (4)
- On the Equi-projective Geometry of Paths. (1925) (4)
- Fatigue fracture of brittle solids (1970) (4)
- Shear waves in cubic crystals (1966) (4)
- Surfaces of Maximum Shearing Stress (1944) (3)
- ISOTROPIC MATERIALS WHOSE DEFORMATION AND DISTORTION ENERGIES ARE EXPRESSIBLE BY SCALAR INVARIANTS. (1956) (3)
- Gravitation and the origin of material particles (1962) (3)
- The elementary theory of tensors,: With applications to geometry and mechanics, (1932) (3)
- Concerning the [unk] Group of Transformations. (1928) (3)
- Systems of Partial Differential Equations and Their Characteristic Surfaces (1933) (3)
- CII. The principle of equivalence in the theory of relativity (1924) (3)
- Fields of parallel vectors in the large (1936) (3)
- On Weyl's Treatment of the Parallel Displacement of a Vector Around an Infinitesimal Closed Circuit in an Affinely Connected Manifold (1925) (2)
- Effect of pressure on the ductility of solids. (1967) (2)
- A Theorem Concerning the Affine Connection (1928) (2)
- Proper volume and its application in the general theory of relativity (1963) (2)
- ON THE UNIFIED FIELD THEORY. II. (2)
- On the Unified Field Theory: IV. (1931) (2)
- On the possibility of a simple observationally correct criterion for fracture in solids (1967) (2)
- On the creation of mass in an expanding universe. (1966) (2)
- On the Unified Field Theory: VI. (1931) (2)
- Longitudinal waves in cubic crystals. (1966) (2)
- On the theoretical relationship between flow stress and large natural strains in tensile tests on steel cylinders. (1967) (2)
- Magneto-Hydrodynamic Flow Past a Semi-Infinite Plate (1966) (2)
- Mathematical foundations of the theory of shocks in gases (1969) (2)
- On a class of existence theorems in differential geometry (1934) (2)
- Theory of the physical characteristics of tensile fracture under pressure. (1968) (2)
- The Existence Theorems in the Problem of the Determination of Affine and Metric Spaces by Their Differential Invariants (1930) (2)
- OUTLINE OF A THEORY OF THE UNIVERSE. (1964) (2)
- Stress-strain relations for crystals containing plastic deformation. (1968) (1)
- Absolute Scalar Invariants and the Isometric Correspondence of Riemann Spaces. (1945) (1)
- DETERMINATION OF THE PLASTIC YIELD CONDITION AS A VARIATIONAL PROBLEM. (1954) (1)
- Characteristic Coordinates for Hyperbolic Differential Equations in the Large. (1947) (1)
- The Einstein Equations of the Gravitational Field for an Arbitrary Distribution of Matter. (1923) (1)
- On the Unifield Field Theory: V. (1931) (1)
- McConnell On Absolute Calculus (1932) (1)
- A DISCUSSION OF THE LOAD DROP AND RELATED MATTERS ASSOCIATED WITH THE FORMATION OF A LUDERS BAND. (1954) (1)
- First Approximation of Pressure Distribution on Curved Profiles at Supersonic Speeds. (1949) (1)
- Arcs in Affinely Connected Spaces (1937) (1)
- Essentials of plane and spherical trigonometry (1943) (1)
- Distribution of Pressure on Curved Profiles in Supersonic Gas Flow with Variable Entropy. (1950) (1)
- RADIAL DISCRETIZATION IN SPHERICAL GALAXIES. (1964) (1)
- Reducible Riemann spaces and their characterization (1939) (1)
- On the Stability and Instability of Shock Waves. (1948) (1)
- ON THE ROTATION OF GRID LINES PRODUCED BY THE FORMATION OF PLASTIC BANDS IN TENSION TESTS. (1954) (0)
- What Mathematics Means to Me (1951) (0)
- Remark on a Distortion Tensor for Elastic Displacements. (1944) (0)
- On the metric representations of affinely connected spaces (1936) (0)
- Simple Tensors and the Problem of the Invariant Characterization of an N- Tuply Orthogonal System of Hypersurfaces in A V n (1934) (0)
- Space Structure as a Boundary Value Problem (1930) (0)
- The Reduction of Degenerate Quadratic Differential Forms. (1934) (0)
- ON THE EXISTENCE OF INTEGRALS OF EINSTEIN'S GRAVITATIONAL EQUATIONS FOR FREE SPACE AND THEIR EXTENSION TO n VARIABLES. (1929) (0)
- Principles of College Algebra. (1943) (0)
- THE PERFECT RELATIVISTIC GAS. (1964) (0)
- Algebraic characterizations in complex differential geometry (1935) (0)
- Geometry of Curves and Surfaces. (Scientific Books: Metric Differential Geometry of Curves and Surfaces) (1941) (0)
- XIII. The equality of tensors (0)
- ON THE EXISTENCE OF INTEGRALS OF THE SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS A = 0 IN n VARIABLES. (1929) (0)
- REAR SHOCK AND PRESSURE ON SUPERSONIC AIRFOILS. (1954) (0)
- ON GRAVITATIONAL COLLAPSE AND THE CREATION OF ENERGY. (1964) (0)
- RED SHIFT DISCRETIZATION IN THE EPOCHAL COSMOLOGY. (1965) (0)
- SOME FURTHER REMARKS ON THE GEODESIC HYPOTHESIS IN THE THEORY OF GRAVITATION. (1962) (0)
- Singular Maps of Differentiable Manifolds of N Dimensions Into N Dimensional Euclidean Space (1939) (0)
- Proceedings of the NATIONAL ACADEMY OF SCIENCES (0)
- On the concept of rigidity in the theory of relativity (1962) (0)
- GALACTIC DISCRETIZATION AND THE FUTURE OF THE UNIVERSE. (1965) (0)
- Reducible Dynamical Systems (1946) (0)
- On the masses and energies of finite bodies in general relativity theory (1965) (0)
- Maximum Angular Variation Under Small Displacements (1945) (0)
- Tensile strength of cubic crystals under pressure. (1968) (0)
- THE ROLE OF GRAVITATION IN THE CREATION OF MATTER. (1962) (0)
- DISCRETIZATION IN GALACTIC STRUCTURE AND COSMOLOGY. (1967) (0)
- Lectures on differential geometry : Basic topics in the theory of generalized spaces (1938) (0)
- Invariantive Systems of Partial Differential Equations (1930) (0)
- SONIC POINT ON SUPERSONIC AIRFOILS. (1954) (0)
- SLIP SURFACES IN PLASTIC SOLIDS. (1956) (0)
- On the variation of curvature in riemann spaces of constant mean curvature (1934) (0)
- The Elementary Theory of Tensors with Applications to Geometry. (1932) (0)
- GRID ROTATION IN LUDERS BANDS. (1954) (0)
- The Characterization of Flat Riemann Spaces as a Boundary Value Problem (1940) (0)
- The Transformation of Dynamical Systems of Two Degrees of Freedom. (1946) (0)
- The Separation of Supersonic Flow From Curved Profiles (1951) (0)
- On the singular point locus in the theory of fields of parallel vectors (1939) (0)
- A REMARK ON DETACHED SHOCKS. (1954) (0)
- ON BRIDGMAN'S OBSERVATIONAL RELATIONSHIP BETWEEN THE RATIO a/R AND THE NATURAL STRAIN IN TENSILE TESTS ON STEEL CYLINDERS. (1967) (0)
- Appell on Tensor Calculus (1927) (0)
- GRAVITATIONAL WAVES AND THE CREATION OF MASS* (1966) (0)
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