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035    (MiAaPQ)EBC3330393 
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050  4 QA342 -- .S35 1984eb 
082 0  501 
100 1  Shiffer, M. M 
245 10 Role of Mathematics in Science 
264  1 Washington :|bAmerican Mathematical Society,|c1965 
264  4 |c©1984 
300    1 online resource (220 pages) 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
490 1  Anneli Lax New Mathematical Library ;|vv.30 
505 0  Front Cover -- The Role of Mathematics in Science -- 
       Copyright Page -- Contents -- Preface -- Introduction -- 
       Chapter 1. The Beginnings of Mechanics -- 1.1 Archimedes' 
       Law of the Lever -- 1.2 First Application: The Centroid of
       a Triangle -- 1.3 Second Application: The Area Under a 
       Parabola -- 1.4 Third Application: The Law of the Crooked 
       Lever -- 1.5 Galileo: The Law of the Inclined Plane -- 1.6
       Stevin: The Law of the Inclined Plane -- 1.7 Insight and 
       Outlook -- Chapter 2. Growth Functions -- 2.1 The 
       Exponential Law of Growth -- 2.2 Maxwell's Derivation of 
       the Law of Errors -- 2.3 Differential and/or Functional 
       Equations -- 2.4 The Problem of Predicting Population 
       Growth -- 2.5 Cusanus' Recursive Formula for π -- 2.6 
       Arithmetic and Geometric Means -- Chapter 3. The Role of 
       Mathematics in Optics -- 3.1 Euclid's Optics -- 3.2 Heron:
       The Shortest Path Principle -- 3.3 Archimedes' Symmetry 
       Proof -- 3.4 Ptolemy and Refraction -- 3.5 Kepler and 
       Refraction -- 3.6 Fermat: The Quickest Path Principle -- 
       3.7 Newton's Mechanistic Theory of Light -- 3.8 Fermat 
       Versus Newton: Experimentum Crucis -- 3.9 To Recapitulate 
       -- 3.10 The Role of Science in Mathematics -- 3.11 Some 
       Practical Applications of Conics -- 3.12 Conical Ingenuity
       -- the Reflecting Telescope -- Chapter 4. Mathematics with
       Matrices-Transformations -- 4.1 Why Use Matrices? -- 4.2 
       Plane Analytic Geometry and Vector Addition -- 4.3 The Dot
       Product -- 4.4 To Relate Coordinate Geometry and Vector 
       Algebra -- 4.5 The Law of Cosines Revisited -- 4.6 Linear 
       Transformations of the Plane -- 4.7 Rotations -- 4.8 
       Composite Transformations and Inverses -- 4.9 Composition 
       and Matrix Multiplication -- 4.10 Rotations and the 
       Addition Formulas of Trigonometry -- 4.11 Reflections -- 
       4.12 Rigid Motions (Isometries) -- 4.13 Orthogonal 
       Matrices -- 4.14 Coordinate Transformations -- 4.15 A 
       Matter of Notation 
505 8  Chapter 5. What is Time? Einstein's Transformation Problem
       -- 5.1 The Michelson-Morley Experiment -- 5.2 What Time Is
       It? -- 5.3 Einstein's Space-Time Transformation Problem --
       5.4 Einstein's Solution -- 5.5 Rods Contract and Clocks 
       Slow Down -- Chapter 6. Relativistic Addition of 
       Velocities -- 6.1 Einstein's Law of Relativistic Addition 
       -- 6.2 Rescaling Velocities -- 6.3 Experimental 
       Verification of Einstein's Law -- 6.4 Rescaled Velacities 
       Revisited -- Chapter 7. Energy -- 7.1 The Two Body Impact 
       Problem in Classical Mechanics -- 7.2 The Two Body Impact 
       Problem in the Theory of Relativity -- 7.3 Admissible 
       Energy Functions -- 7.4 More About Admissible Energy 
       Functions -- 7.5 Proof that Φ( V) Is Admissible -- 7.6 
       Energy and Momentum -- 7.7 The Dependence of Mass on 
       Velocity -- 7.8 Energy and Matter -- 7.9 The Lorentz 
       Transformation and the Momentum-Energy Vector -- 7.10 
       Relativity in More than One Space Dimension -- 7.11 
       Relativity and Electrodynamics -- Epilogue -- Index -- 
       Back Cover 
588    Description based on publisher supplied metadata and other
       sources 
590    Electronic reproduction. Ann Arbor, Michigan : ProQuest 
       Ebook Central, 2020. Available via World Wide Web. Access 
       may be limited to ProQuest Ebook Central affiliated 
       libraries 
650  0 Exponential functions.;Mathematical analysis 
655  4 Electronic books 
700 1  Bowden, Leon 
700 1  Bowden, Leon 
776 08 |iPrint version:|aShiffer, M. M.|tRole of Mathematics in 
       Science|dWashington : American Mathematical Society,c1965
       |z9780883856307 
830  0 Anneli Lax New Mathematical Library 
856 40 |uhttps://ebookcentral.proquest.com/lib/sinciatw/
       detail.action?docID=3330393|zClick to View