PURE A N D APPLIED MATHEMATICS Arnold Sommerfeld, Partial Differential Equations in Physics Reinhold Baer, Linear Algebra and Projective Geometry Herbert Busemann and Paul Kelly, Projective Geometry and Projective Metrics Stefan Bergman and M. Schiffer, Kernel Functions and Elliptic VOl. 4 Differential Equations in Mathematical Physics Ralph Philip Boas, Jr., Entire Functions VOl. 5 Vol. 6 Herbert Busemann, The Geometry of Geodesics Claude Chevalley, Fundamental Concepts of Algebra VOl. 7 Sze-Tsen Hu, Homotopy Theory Vol. 8 A. M. Ostrowski, Solution of Equations in Euclidean and Banach VOl. 9 Spaces, Third Edition of Solution of Equations and Systems of Equations J. DieudonnC, Treatise on Analysis: Volume I , Foundations of VOl. 10 Modern Analysis; Volume 11; Volume I l l ; Volume I V ; Volume V ; Volume V l VOl. 11* S. I . Goldberg, Curvature and Homology VOl. 12* Sigurdur Helgason, Differential Geometry and Symmetric Spaces T. H. Hildebrandt, Introduction to the Theory of Integration Vol. 13 Shreeram Abhyankar Local Analytic Geometry Vol. 14 Vol. 15* Richard L. Bishop and Richard J. Grittenden, Geometry of Manifolds Vol. 16* Steven A. Gaal, Point Set Topology Barry Mitchell, Theory of Categories Vol. 17 Anthony P. Morse, A Theory of Sets Vol. 18 Gustave Choquet, Topology Vol. 19 Z. I. Borevich and I. R. Shafarevich, Number Theory VOl. 20 Jose Luis Massera and Juan Jorge Schaffer, Linear Differential VOl. 21 Equations and Function Spaces Richard D. Schafer. An Introduction to Nonassociative Algebras VOl. 22 Vol. 23* Martin Eichler, Introduction to the Theory of Algebraic Numbers and Functions Shreeram Abhyankar, Resolution of Singularities of Embedded Vol. 24 Algebraic Surfaces FranCois Treves, Topological Vector Spaces, Distributions, and Vol. 25 Kernels Vol. 26 Peter D. Lax and Ralph S. Phillips, Scattering Theory Oystein Ore, The Four Color Problem Vol. 27 Vol. 28* Maurice Heins, Complex Function Theory VOl. 1 Vol. 2 VOl. 3
R. M. Blumenthal and R. K. Getoor, Markov Processes and Potential Theory L. J . Mordell, Diophantine Equations Vol. 30 J. Barkley Rosser, SimpliJed Independence Proofs: Boolean Valued Vol. 31 Models of Set Theory Vol. 32 William F. Donoghue, Jr., Distributions and Fourier Transforms Marston Morse and Stewart S. Cairns, Critical Point Theory in VOl. 33 Global Analysis and Differential Topology VOl. 34* Edwin Weiss, Cohomology of Groups VOl. 35 Hans Freudenthal and H. De Vries, Linear Lie Groups Vol. 36 Laszlo Fuchs, Injinite Abelian Groups VOl. 37 Keio Nagami, Dimension Theory Vol. 38 Peter L. Duren, Theory of H PSpaces V O l . 39 Bod0 Pareigis, Categories and Functors Vol. 40* Paul L. Butzer and Rolf J. Nessel, Fourier Analysis and Approximation: Volume I , One-Dimensional Theory Vol. 41 * Eduard Prugovekki, Quantum Mechanics in Hilbert Space Vol. 42 D. V. Widder, An Introduction to Transform Theory Max D. Larsen and Paul J. McCarthy, Multiplicative Theory of VOl. 43 Ideals VOl. 44 Ernst-August Behrens, Ring Theory Morris Newman, Integral Matrices Vol. 45 Glen E. Bredon, Introduction to Compact Transformation Groups Vol. 46 VOl. 47 Werner Greub, Stephen Halperin, and Ray Vanstone, Connections, Curvature, and Cohomology: Volume I , De Rham Cohomology of Manifolds and Vector Bundles Volume I I , Lie Groups, Principal Bundles, and Characteristic Classes Volume I I I , Cohomology of Principal Bundles and Homogeneous Spaces Xia Dao-Xing, Measure and Integration Theory of InjiniteVol. 48 Dimensional Spaces: Abstract Harmonic Analysis Ronald G. Douglas, Banach Algebra Techniques in Operator VOl. 49 Theory Vol. 50 Willard Miller, Jr., Symmetry Groups and Theory Applications Arthur A. Sagle and Ralph E. Walde, Introduction to Lie Groups Vol. 51 and Lie Algebras Vol. 52 T. Benny Rushing, Topological Embeddings VOl. 53* James. W. Vick, Homology Theory: An Introduction to Algebraic Topology E. R. Kolchin, Diflerential Algebra and Algebraic Groups VOl. 54 Gerald J. Janusz, Algebraic Number Fields VOl. 55 A. S. B. Holland, Introduction to the Theory of Entire Functions Vol. 56 Vol. 29
Vol. 57 Vol. 58 VOl. 59 Vol. 60 Vol. 61 Vol. 62 Vol. 63* Vol. 64 Vol. 65 Vol. 66 Vol. 67 Vol. 68 Vol. 69 Vol. 70 Vol. 71 Vol. 72 VOl. 73
VOl. 74 Vol. 75 Vol. 76 Vol. 77 Vol. 78 Vol. 79 Vol. 80 Vol. 81 Vol. 82 Vol. 83 Vol. 84 Vol. 85 Vol. 86
Wayne Roberts and Dale Varberg, Convex Functions H. M. Edwards, Riemann's Zeta Function Samuel Eilenberg, Automata, Languages, and Machines: Volume A, Volume B Morris Hirsch and Stephen Smale, Differential Equations, Dynamical Systems, and Linear Algebra Wilhelm Magnus, Noneuclidean Tesselations and Their Groups Franqois Treves, Basic Linear Partial Differential Equations William M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry Brayton Gray, Homotopy Theory: An Introduction to Algebraic Topology Robert A. Adams, Sobolev Spaces John J. Benedetto, Spectral Synthesis D. V. Widder, The Heat Equation Irving Ezra Segal, Mathematical Cosmology and Extragalactic Astronomy I . Martin Isaacs, Character Theory of Finite Groups James R. Brown, Ergodic Theory and Topological Dynamics C. Truesdell, A First Course in Rational Continuum Mechanics: Volume I , General Concepts K. D. Stroyan and W. A. J. Luxemburg, Introduction to the Theory of Injinitesimals B. M. Puttaswamaiah and John D. Dixon, Modular Representations of Finite Groups Melvyn Berger, Nonlinearity and Functional Analysis: Lectures on Nonlinearity Problems in Mathematical Analysis George Gratzer, Lattice Theory Charalambos D. Aliprantis and Owen Burkinshaw, Locally Solid Riesz Spaces Jan Mikusinski, The Bochner Integral Michiel Hazewinkel, Formal Groups and Applications Thomas Jech, Set Theory Sigurdur Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces Carl L. DeVito, Functional Analysis Robert B. Burckel, An Introduction to Classical Complex Analysis C. Truesdell and R. G. Muncaster, Fundamentals of Maxwell's Kinetic Theory of a Simple Monatomic Gas: Treated as a Branch of Rational Mechanics Louis Halle Rowen, Polynomial Identities in Ring Theory Joseph J. Rotman, An Introduction to Homological Algebra Barry Simon, Functional Integration and Quantum Physics
Vol. 87
Dragos M. Cvetkovic, Michael Doob, and Horst Sachs, Spectra of Graphs Vol. 88 David Kinderlehrer and Guido Stampacchia, An Introduction to Variational Inequalities and Their Applications Vol. 89 Herbert Seifert, W. Threlfall, A Textbook of Topology Grzegorz Rozenberg and Arto Salomaa, The Mathematical Vol. 90 Theory of L Systems Vol. 91 Donald W. Kahn, Introduction to Global Analysis Vol. 92 Eduard PrugoveCki, Quantum Mechanics in Hilbert Space, Second Edition VOl. 93 Robert M. Young, An Introduction to Nonharmonic Fourier Series VOl. 94 M. C. Irwin, Smooth Dynamical Systems Vol. 96 John B. Garnett, Bounded Analytic Functions VOl. 97 Jean DieudonnC, A Panorama of Pure Mathematics: As Seen by N. Bourbaki Vol. 98 Joseph G. Rosenstein, Linear Orderings VOl. 99 M. Scott Osborne and Garth Warner, The Theory of Eisenstein Systems VOl. 100 Richard V. Kadison and John R. Ringrose, Fundamentals of the Theory of Operator Algebras: Volume I , Elementary Theory; Volume 2, Advanced Theory VOl. 101 Howard Osborn, Vector Bundles: Volume 1, Foundations and Stiefel- Whitney Classes Vol. 102 Avraham Feintuch and Richard Saeks, System Theory: A Hilbert Space Approach Vol. 103 Barrett O’Neill, Semi-Riemannian Geometry: With Applications to Relativity Vol. 104 K. A. Zhevlakov, A. M. Slin’ko, I. P. Shestakov, and A. I. Shirshov, Rings that Are Nearly Associative Vol. 105 Ulf Grenander, Mathematical Experiments on the Computer Vol. 106 Edward B. Manoukian, Renormalization Vol. 107 E. J. McShane, Unijed Integration Vol. 108 A. P. Morse, A Theory of Sets, Revised and Enlarged Edition Vol. 109 K . P. S. Bhaskara-Rao and M. Bhaskara-Rao, Theory of Charges: A Study of Finitely Additive Measures Vol. 1 10 Larry C. Grove, Algebra VOl. 111 Steven Roman, The Umbra1 Calculus VOl. 12 John W. Morgan and Hyman Bass, editors, The Smith Conjecture Vol. 13 Sigurdur Helgason, Groups and Geometric Analysis: Integral Geometry, Invariant Differential Operators, and Spherical Functions Vol. 14 E. R. Kolchin, Diflerential Algebraic Groups Vol. 15 Isaac Chavel, Eigenvalues in Riemannian Geometry
W. D. Curtis and F. R. Miller, Differential Manifolds and Theoretical Physics Vol. 117 Jean Berstel and Dominique Perrin, Theory of Codes Vol. 1 1 8 A. E. Hurd and P. A. Loeb, An Introduction to Nonstandard Real Analysis Vol. 119 Charalambos D. Aliprantis and Owen Burkinshaw, Positive Operators VOl. 120 William M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry, Second Edition VOl. 121 Douglas C. Ravenel, Complex Cobordism and Stable Homotopy Groups of Spheres VOl. 122 Sergio Albeverio, Jens Erik Fenstad, Raphael Hsegh-Krohn, and Tom Lindstrsm, Nonstandard Methods in Stochastic Analysis and Mathematical Physics Vol. 123 Albert0 Torchinsky, Real- Variable Methods in Harmonic Analysis Vol. 124 Robert J. Daverman, Decomposition of Manifolds VOl. 25 J. M. G. Fell and R. S. Doran, Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles: Volume 1, Basic Representation Theory of Groups and Algebras J. M. G. Fell and R. S. Doran, Representations of *-Algebras, VOl. 26 Locally Compact Groups, and Banach *-Algebraic Bundles: Volume 2, Induced Representations, the Imprimitivity Theorem, and the Generalized Mackey Analysis Vol. 127 Louis H . Rowen, Ring Theory, Volume I Vol. 128 Louis H . Rowen, Ring Theory, Volume I1 Vol. 129 Colin Bennett and Robert Sharpley, Interpolation of Operators Vol. 130 Jurgen Poschel and Eugene Trubowitz, Inverse Spectral Theory Vol. 131 Jens Carsten Jantzen, Representations of Algebraic Groups Vol. 132 Nolan R. Wallach, Real Reductive Groups I Vol. 133 Michael Sharpe, General 77zeot-y of Markov Processes Vol. 134 Igor Frenkel, James Lepowsky, and Arne Meurman, Vertex Operator Algebras and the Monster Vol. 135 Donald Passman, Infinite Crossed Products Vol. 116
R. M. Blumenthal and R. K. Getoor, Markov Processes and Potential Theory L. J . Mordell, Diophantine Equations Vol. 30 J. Barkley Rosser, SimpliJed Independence Proofs: Boolean Valued Vol. 31 Models of Set Theory Vol. 32 William F. Donoghue, Jr., Distributions and Fourier Transforms Marston Morse and Stewart S. Cairns, Critical Point Theory in VOl. 33 Global Analysis and Differential Topology VOl. 34* Edwin Weiss, Cohomology of Groups VOl. 35 Hans Freudenthal and H. De Vries, Linear Lie Groups Vol. 36 Laszlo Fuchs, Injinite Abelian Groups VOl. 37 Keio Nagami, Dimension Theory Vol. 38 Peter L. Duren, Theory of H PSpaces V O l . 39 Bod0 Pareigis, Categories and Functors Vol. 40* Paul L. Butzer and Rolf J. Nessel, Fourier Analysis and Approximation: Volume I , One-Dimensional Theory Vol. 41 * Eduard Prugovekki, Quantum Mechanics in Hilbert Space Vol. 42 D. V. Widder, An Introduction to Transform Theory Max D. Larsen and Paul J. McCarthy, Multiplicative Theory of VOl. 43 Ideals VOl. 44 Ernst-August Behrens, Ring Theory Morris Newman, Integral Matrices Vol. 45 Glen E. Bredon, Introduction to Compact Transformation Groups Vol. 46 VOl. 47 Werner Greub, Stephen Halperin, and Ray Vanstone, Connections, Curvature, and Cohomology: Volume I , De Rham Cohomology of Manifolds and Vector Bundles Volume I I , Lie Groups, Principal Bundles, and Characteristic Classes Volume I I I , Cohomology of Principal Bundles and Homogeneous Spaces Xia Dao-Xing, Measure and Integration Theory of InjiniteVol. 48 Dimensional Spaces: Abstract Harmonic Analysis Ronald G. Douglas, Banach Algebra Techniques in Operator VOl. 49 Theory Vol. 50 Willard Miller, Jr., Symmetry Groups and Theory Applications Arthur A. Sagle and Ralph E. Walde, Introduction to Lie Groups Vol. 51 and Lie Algebras Vol. 52 T. Benny Rushing, Topological Embeddings VOl. 53* James. W. Vick, Homology Theory: An Introduction to Algebraic Topology E. R. Kolchin, Diflerential Algebra and Algebraic Groups VOl. 54 Gerald J. Janusz, Algebraic Number Fields VOl. 55 A. S. B. Holland, Introduction to the Theory of Entire Functions Vol. 56 Vol. 29
Vol. 57 Vol. 58 VOl. 59 Vol. 60 Vol. 61 Vol. 62 Vol. 63* Vol. 64 Vol. 65 Vol. 66 Vol. 67 Vol. 68 Vol. 69 Vol. 70 Vol. 71 Vol. 72 VOl. 73
VOl. 74 Vol. 75 Vol. 76 Vol. 77 Vol. 78 Vol. 79 Vol. 80 Vol. 81 Vol. 82 Vol. 83 Vol. 84 Vol. 85 Vol. 86
Wayne Roberts and Dale Varberg, Convex Functions H. M. Edwards, Riemann's Zeta Function Samuel Eilenberg, Automata, Languages, and Machines: Volume A, Volume B Morris Hirsch and Stephen Smale, Differential Equations, Dynamical Systems, and Linear Algebra Wilhelm Magnus, Noneuclidean Tesselations and Their Groups Franqois Treves, Basic Linear Partial Differential Equations William M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry Brayton Gray, Homotopy Theory: An Introduction to Algebraic Topology Robert A. Adams, Sobolev Spaces John J. Benedetto, Spectral Synthesis D. V. Widder, The Heat Equation Irving Ezra Segal, Mathematical Cosmology and Extragalactic Astronomy I . Martin Isaacs, Character Theory of Finite Groups James R. Brown, Ergodic Theory and Topological Dynamics C. Truesdell, A First Course in Rational Continuum Mechanics: Volume I , General Concepts K. D. Stroyan and W. A. J. Luxemburg, Introduction to the Theory of Injinitesimals B. M. Puttaswamaiah and John D. Dixon, Modular Representations of Finite Groups Melvyn Berger, Nonlinearity and Functional Analysis: Lectures on Nonlinearity Problems in Mathematical Analysis George Gratzer, Lattice Theory Charalambos D. Aliprantis and Owen Burkinshaw, Locally Solid Riesz Spaces Jan Mikusinski, The Bochner Integral Michiel Hazewinkel, Formal Groups and Applications Thomas Jech, Set Theory Sigurdur Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces Carl L. DeVito, Functional Analysis Robert B. Burckel, An Introduction to Classical Complex Analysis C. Truesdell and R. G. Muncaster, Fundamentals of Maxwell's Kinetic Theory of a Simple Monatomic Gas: Treated as a Branch of Rational Mechanics Louis Halle Rowen, Polynomial Identities in Ring Theory Joseph J. Rotman, An Introduction to Homological Algebra Barry Simon, Functional Integration and Quantum Physics
Vol. 87
Dragos M. Cvetkovic, Michael Doob, and Horst Sachs, Spectra of Graphs Vol. 88 David Kinderlehrer and Guido Stampacchia, An Introduction to Variational Inequalities and Their Applications Vol. 89 Herbert Seifert, W. Threlfall, A Textbook of Topology Grzegorz Rozenberg and Arto Salomaa, The Mathematical Vol. 90 Theory of L Systems Vol. 91 Donald W. Kahn, Introduction to Global Analysis Vol. 92 Eduard PrugoveCki, Quantum Mechanics in Hilbert Space, Second Edition VOl. 93 Robert M. Young, An Introduction to Nonharmonic Fourier Series VOl. 94 M. C. Irwin, Smooth Dynamical Systems Vol. 96 John B. Garnett, Bounded Analytic Functions VOl. 97 Jean DieudonnC, A Panorama of Pure Mathematics: As Seen by N. Bourbaki Vol. 98 Joseph G. Rosenstein, Linear Orderings VOl. 99 M. Scott Osborne and Garth Warner, The Theory of Eisenstein Systems VOl. 100 Richard V. Kadison and John R. Ringrose, Fundamentals of the Theory of Operator Algebras: Volume I , Elementary Theory; Volume 2, Advanced Theory VOl. 101 Howard Osborn, Vector Bundles: Volume 1, Foundations and Stiefel- Whitney Classes Vol. 102 Avraham Feintuch and Richard Saeks, System Theory: A Hilbert Space Approach Vol. 103 Barrett O’Neill, Semi-Riemannian Geometry: With Applications to Relativity Vol. 104 K. A. Zhevlakov, A. M. Slin’ko, I. P. Shestakov, and A. I. Shirshov, Rings that Are Nearly Associative Vol. 105 Ulf Grenander, Mathematical Experiments on the Computer Vol. 106 Edward B. Manoukian, Renormalization Vol. 107 E. J. McShane, Unijed Integration Vol. 108 A. P. Morse, A Theory of Sets, Revised and Enlarged Edition Vol. 109 K . P. S. Bhaskara-Rao and M. Bhaskara-Rao, Theory of Charges: A Study of Finitely Additive Measures Vol. 1 10 Larry C. Grove, Algebra VOl. 111 Steven Roman, The Umbra1 Calculus VOl. 12 John W. Morgan and Hyman Bass, editors, The Smith Conjecture Vol. 13 Sigurdur Helgason, Groups and Geometric Analysis: Integral Geometry, Invariant Differential Operators, and Spherical Functions Vol. 14 E. R. Kolchin, Diflerential Algebraic Groups Vol. 15 Isaac Chavel, Eigenvalues in Riemannian Geometry
W. D. Curtis and F. R. Miller, Differential Manifolds and Theoretical Physics Vol. 117 Jean Berstel and Dominique Perrin, Theory of Codes Vol. 1 1 8 A. E. Hurd and P. A. Loeb, An Introduction to Nonstandard Real Analysis Vol. 119 Charalambos D. Aliprantis and Owen Burkinshaw, Positive Operators VOl. 120 William M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry, Second Edition VOl. 121 Douglas C. Ravenel, Complex Cobordism and Stable Homotopy Groups of Spheres VOl. 122 Sergio Albeverio, Jens Erik Fenstad, Raphael Hsegh-Krohn, and Tom Lindstrsm, Nonstandard Methods in Stochastic Analysis and Mathematical Physics Vol. 123 Albert0 Torchinsky, Real- Variable Methods in Harmonic Analysis Vol. 124 Robert J. Daverman, Decomposition of Manifolds VOl. 25 J. M. G. Fell and R. S. Doran, Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles: Volume 1, Basic Representation Theory of Groups and Algebras J. M. G. Fell and R. S. Doran, Representations of *-Algebras, VOl. 26 Locally Compact Groups, and Banach *-Algebraic Bundles: Volume 2, Induced Representations, the Imprimitivity Theorem, and the Generalized Mackey Analysis Vol. 127 Louis H . Rowen, Ring Theory, Volume I Vol. 128 Louis H . Rowen, Ring Theory, Volume I1 Vol. 129 Colin Bennett and Robert Sharpley, Interpolation of Operators Vol. 130 Jurgen Poschel and Eugene Trubowitz, Inverse Spectral Theory Vol. 131 Jens Carsten Jantzen, Representations of Algebraic Groups Vol. 132 Nolan R. Wallach, Real Reductive Groups I Vol. 133 Michael Sharpe, General 77zeot-y of Markov Processes Vol. 134 Igor Frenkel, James Lepowsky, and Arne Meurman, Vertex Operator Algebras and the Monster Vol. 135 Donald Passman, Infinite Crossed Products Vol. 116
Madison College’s College Mathematics Textbook Page 6 of 204. Chapter 1 Pre-Algebra: Section 1. 3 Fractions: Fractions are ratios of whole numbers, which allow us to express numbers which are between the whole numbers. For example, 22 2 2 is between 2 and 3. Since the launch of the Human Genome project in 1990, understanding molecular and clinical genetics has become an essential aspect of modern medical education. Solid knowledge of genetics is now crucial to a host of healthcare professionals including primary care physicians, nurses and physician assistants. This third edition takes this crucial information and incorporates it into a student.
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