1  11
 Millman, Richard.
 Oxford : Clarendon Press ; New York : Oxford University Press, 1979.
 Description
 Book — xv, 613 p. ; 24 cm.
 Online
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4. Geometry : a Metric Approach with Models [1981]
 Millman, Richard S.
 New York, NY : Springer US, 1981.
 Description
 Book — 1 online resource Digital: text file.PDF.
 Summary

 1 Preliminary Notions
 1.1 Axioms and Models
 1.2 Sets and Equivalence Relations
 1.3 Functions
 2 Incidence and Metric Geometry
 2.1 Definition and Models of Incidence Geometry
 2.2 Metric Geometry
 2.3 Special Coordinate Systems
 3 Betweenness and Elementary Figures
 3.1 An Alternative Description of the Euclidean Plane
 3.2 Betweenness
 3.3 Line Segments and Rays
 3.4 Angles and Triangles
 4 Plane Separation
 4.1 The Plane Separation Axiom
 4.2 PSA for the Euclidean and Hyperbolic Planes
 4.3 Pasch Geometries
 4.4 Interiors and the Crossbar Theorem
 4.5 Convex Quadrilaterals
 5 Angle Measure
 5.1 The Measure of an Angle
 5.2 The Moulton Plane
 5.3 Perpendicularity and Angle Congruence
 5.4 Euclidean and Hyperbolic Angle Measure (optional)
 6 Neutral Geometry
 6.1 The SideAngleSide Axiom
 6.2 Basic Triangle Congruence Theorems
 6.3 The Exterior Angle Theorem and Its Consequences
 6.4 Right Triangles
 6.5 Circles and Their Tangent Lines
 6.6 The Two Circle Theorem (optional)
 6.7 The Synthetic Approach (optional)
 7 The Theory of Parallels
 7.1 The Existence of Parallel Lines
 7.2 Saccheri Quadrilaterals
 7.3 The Critical Function
 8 Hyperbolic Geometry
 8.1 Asymptotic Rays and Triangles
 8.2 Angle Sum and the Defect of a Triangle
 8.3 The Distance Between Parallel Lines
 9 Euclidean Geometry
 9.1 Equivalent Forms of EPP
 9.2 Similarity Theory
 9.3 Some Classical Theorems of Euclidean Geometry
 10 Area
 10.1 The Area Function
 10.2 The Existence of Euclidean Area
 10.3 The Existence of Hyperbolic Area
 10.4 Bolyai's Theorem
 11 The Theory of Isometries
 11.1 Collineations and Isometries
 11.2 The Klein and Poincaré Disk Models (optional)
 11.3 Reflections and the Mirror Axiom
 11.4 Pencils and Cycles
 11.5 Double Reflections and Their Invariant Sets
 11.6 The Classification of Isometries
 11.7 The Isometry Group
 11.8 The SAS Axiom in?
 11.9 The Isometry Groups of? and?
 Millman, Richard S., 1945 author.
 Cham : Springer, 2015.
 Description
 Book — 1 online resource (x, 223 pages) : illustrations Digital: text file; PDF.
 Summary

 Preface; Contents; Part I The Integers; 1 Number Concepts, Prime Numbers, and the Division Algorithm; 1.1 Beginning Number Concepts and Prime Numbers; 1.2 Divisibility of Some Combinations of Integers; 1.3 Long Division: The Division Algorithm; 1.4 Tests for Divisibility in Base Ten; 1.5 Binary and Other Number Systems; 1.5.1 Conversion Between Binary and Decimal; 1.5.2 Conversion from Decimal to Binary; 1.5.3 Arithmetic in Binary Systems; Addition of Binary Numbers; Multiplication of Binary Numbers; Subtraction in the Binary System; Division in the Binary System.
 1.5.4 Duodecimal Number SystemConversion from Decimal to Duodecimal System; Conversion from Duodecimal to Decimal System; 2 Greatest Common Divisors, Diophantine Equations, and Combinatorics; 2.1 GCD and LCM Through the Fundamental Theorem of Arithmetic; 2.2 GCD, the Euclidean Algorithm and Its Byproducts; 2.3 Linear Equations with Integer Solutions: Diophantine Equations; 2.4 A Brief Introduction to Combinatorics; 2.5 Linear Diophantine Equations and Counting; 3 Equivalence Classes with Applications to Clock Arithmetic and Fractions; 3.1 Equivalence Relations and Equivalence Classes.
 3.2 Modular (Clock) Arithmetic Through Equivalence Relations3.3 Fractions Through Equivalence Relations; 3.4 Integers Modular n and Applications; 3.4.1 RSA Cryptosystem; 3.4.2 UPC and ISBN (See Gallin and Winters Gallian1988, Rosen Rosen2007); Part II The Algebra of Polynomials and Linear Systems; 4 Polynomials and the Division Algorithm; 4.1 Addition and Multiplication of Polynomials; 4.2 Divisibility, Quotients and Remainders of Polynomials; 4.3 The Remainder Theorem; 4.4 Synthetic Division; 5 Factoring Polynomials, Their Roots, and Some Applications.
 5.1 Factoring Polynomials and Their Roots5.2 Rational Roots of Polynomials; 5.2.1 Appendix to Sect. 5
 .2: A Brief Review of Factoring Quadratics; 5.3 Greatest Common Divisors and Least Common Multiples for Polynomials; 6 Matrices and Systems of Linear Equations ; 6.1 Matrix Operations; 6.2 Systems of Linear Equations in the Plane; 6.3 Systems of Linear Equations in Euclidean nSpace; 6.4 System of Linear Equations: Cramer's Rule; 6.5 Applications of Matrix Operations to the GCD; 6.6 Evaluations of Determinants of 33 Matrices; 6.7 Application of Determinants (Line and Area); Selected Answers.
 Section 1.1Section 1.2; Section 1.3; Section 1.4; Section 1.5; Section 2.1; Section 2.2; Section 2.3; Section 2.4; Section 2.5; Section 3.1; Section 3.2; Section 3.3; Section 3.4; Section 4.1; Section 4.2; Section 4.3; Section 4.4; Section 5.1; Section 5.2; Section 5.3; Section 6.1; Section 6.2; Section 6.3; Section 6.4; Section 6.5; Section 6.6; Section 6.7; References.
6. Geometry, a metric approach with models [1981]
 Millman, Richard S., 1945
 New York : SpringerVerlag, c1981.
 Description
 Book — x, 355 p. : ill. ; 24 cm.
 Online
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7. Elements of differential geometry [1977]
 Millman, Richard S., 1945
 Englewood Cliffs, N.J. : PrenticeHall, c1977.
 Description
 Book — xiv, 265 p. : ill. ; 24 cm.
 Summary

Makes a strong effort to bring topics up to an undergraduate level and is easily taught by any math prof. Most simplified of our books in this area.
(source: Nielsen Book Data)
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8. Symmetries in Science [1980]
 Gruber, Bruno.
 Boston, MA : Springer US, 1980.
 Description
 Book — 1 online resource
 Summary

 Why We Believe in the Einstein Theory
 The Role and Value of the Symmetry Principles and Einstein's Contribution to Their Recognition
 Statistical Concepts in Einstein's Physics
 What Are the True Building Blocks of Matter
 Classification of Wigner Operators by a New Type of Weight Space Diagram
 De Sitter Fibers and SO(3,2) Spectrum Generating Group for Hadrons
 The WignerRacah Algebra for Finite and Compact Continuous Groups
 Applications of Coherent States in Thermodynamics and Dynamics
 The Application of Imbedding Theory to the Atomic Shell Model
 Group Theory in Atomic and Molecular Physics
 New Approach to Matrix Elements and ClebschGordan Coefficients for Compact and NonCompact Groups
 Group Theory and the Interaction of Composite Nucleon Systems
 Time Reversal in Dissipative Systems
 Life Groups, Quantum Mechanics, ManyBody Theory and Organic Chemistry
 Symmetry and Variable Separation for the Helmholtz, Wave and HamiltonJacobi Equations
 Review of the Group Theory behind the Interacting Boson Model of the Nucleus
 Remarks on the Algebraic Structure of Spontaneous Symmetry Breaking in Unified Gauge Theories
 Symmetry Breaking and FarFromEquilibrium Order
 Finite Subgroups of the Lorentz Group and Their Generating Functions
 On Dynamical Symmetries in Relativistic Field Theories
 On the Generalisation of the GellMannNishijima Relation
 Relativistic Dynamical Groups in Quantum Theory and Some Possible Applications
 Generalized Coherent States
 Spontaneous Symmetry Breaking in Bifurcation Problems
 Time, Energy, Relativity, and Cosmology
 Projection Operators for Semisimple Compact Lie Groups and Their Applications
 Orders in Nature: From Quantum to Classical
 Systematic Methods for Determining the Continuous Transformation Groups Admitted by Differential Equations
 Symmetry Breaking in Embryology and in Neurobiology
 On Global Properties of Quantum Systems
 Invited Speakers and Invited Participants.
 New York : Springer, ©2009.
 Description
 Book — 1 online resource (xii, 309 pages) : illustrations Digital: text file.PDF.
 Summary

 Function, form and focus: the role of tasks in elementary mathematics teacher education / Barbro Grevholm, Richard Millman, and Barbara Clarke
 Sect. A: Tasks as a tool for exploring the cyclical nature of learning and developing reflection in the teaching of mathematics
 Using lesson study to develop an appreciation of and competence in task design / Joanne Lieberman
 Reflecting on the process of task adaptation and extension: the case of computational starters / Theresa J. Grant and JaneJane Lo
 Tasks for primary student teachers: a task of mathematics teacher educators / Victoria Sánchez and Mercedes García
 The mathematics teaching portfolio: a reflective tool for developing professional growth and improving classroom practices / Rose Spanneberg
 Sect. B. Tasks as a tool for developing mathematical knowledge for teaching
 Pushing probability and statistics tasks in a new direction / Dan Canada
 Logic in Wonderland: Alice's Adventures in Wonderland as the context of a course in logic for future elementary teachers / Nitsa MovshovitzHadar and Atara Shriki
 Tasks using video clips of children in a content mathematics course for future elementary school teachers / Richard Millman, Kelly Svec, and Dana Williams
 Teacher tasks for mathematical insight and reorganization of what it means to learn mathematics / George Gadanidis and Immaculate Namukasa
 Teaching and understanding mathematical modelling through Fermiproblems / Andra PeterKoop
 A researchbased workshop design for volume tasks / Mariana Sáiz and Olimpia Figueras
 Taskbased lessons: the central focus of mathematics content course for future elementary teachers / Anne R. Teppo
 Sect. C. Tasks as a tool for developing knowledge through and for practice
 The use of relational games in initial teacher education: bringing the classroom into the lecture theatre / Solange Amorim Amato
 Using mathematically rich tasks to deepen the pedagogical content knowledge of primary teachers / George Ashline and Regina Quinn
 From professional tasks in collaborative environments to educational tasks in mathematics teacher education / José Carrillo and Nuria Climent
 The analysis of classroombased processes as a key task in teacher training for the approach to early algebra / Nicolina A. Malara and Giancarlo Navarra
 Outdoor mathematical experiences: constructivism, connections, and health / Meg Moss
 From teacher education to teacher practice: a gap affecting the implementation of tasks / Pedro Palhares, Alexandra Gomes, Paulo Carvalho, and Valter Cebolo
 Concluding remarks / Barbara Clarke, Barbro Grevholm, and Richard Millman.
(source: Nielsen Book Data)
10. Symmetries in science [1980]
 New York : Plenum Press ; [Urbana?] : Illinois Academy of Science, c1980.
 Description
 Book — ix, 495 p. : ill. ; 26 cm.
 Online
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Q172.5 .S95 S92  Available 
 Boston : Birkhäuser, 1983.
 Description
 Book — vii, 340 p. ; 24 cm.
 Online
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QA402.3 .D49 1983  Available 
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