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What are the most influential texts in mathematics?
You might want to compare my list against Wikipedia's List of important publications in mathematicsAncient EgyptRhind Mathematical PapyrusAncient GreeceEuclid - ElementsDiophantus - ArithmeticaApollonius - ConicsArchimedes - On the Sphere and Cylinder, The Method of Mechanical Theorems and Measurement of a Circle, among others.Ptolemy - AlmagestIslamic Golden Ageal-Khwārizmī - The Compendious Book on Calculation by Completion and BalancingOmar Khayyám - Treatise on Demonstration of Problems of AlgebraJamshid al-Kāshi - The Key to ArithmeticAncient IndiaBrahmagupta - BrāhmasphuṭasiddhāntaBhāskara II - Lilāvati and Bija Ganita (Algebra)Ancient ChinaThe Ten Mathematical ClassicsEuropean MathematiciansAlcuin of York - Propositiones ad acuendos juvenesFibonacci - Liber AbaciCopernicus - De revolutionibus orbium coelestiumCardano - Ars MagnaKepler - Astronomia nova and Harmonices MundiDescartes - La GéométrieNewton - Philosophiæ Naturalis Principia MathematicaLeibniz - De Arte CombinatoriaSaccheri - Euclides ab omni naevo vindicatusAbraham de Moivre - The Doctrine of ChancesJakob Bernoulli - Ars ConjectandiEuler - Elements of Algebra, Introduction to Analysis of the Infinite, Foundations of Differential Calculus, Foundations of Integral Calculus, Mechanics (Volume 1) and Volume 2.Lagrange - Mecanique AnalytiqueLaplace - Méchanique Céleste and Théorie analytique des probabilitésFourier - Théorie analytique de la chaleurGauss - Disquisitiones Arithmeticae and Theory of Motion of the Heavenly Bodies Moving About the Sun in Conic SectionsBolyaiLobachevsky - Geometrical investigations on the theory of parallel linesDirichlet - Vorlesungen über Zahlentheorie (coauthored with Dedekind)Dedekind - Essays on the Theory of Numbers, Theory of Algebraic Integers, Continuity and Irrational NumbersRiemann - Ueber die Hypothesen, welche der Geometrie zu Grunde liegen,Ueber die Anzahl der Primzahlen unter einer gegebenen GrössePoincaré - Analysis Situs, New Methods of Celestial MechanicsHilbert - Grundlagen der Geometrie, Die Theorie der algebraischen ZahlkorperLebesgue - Leçons sur l'intégration et la recherche des fonctions primitivesHardy - An Introduction to the Theory of Numbers, A Course of Pure Mathematics, Divergent Series, Inequalities (coauthored with Polya)Weil - Foundations of Algebraic Geometry, Basic Number Theory (it is notbasic!)Weyl - Algebraic Theory of Numbers, The Classical GroupsAmerican MathematiciansH S M Coxeter - Regular Polytopes, Projective GeometryFord and Fulkerson - Flows in Networksvon Neumann - Mathematical Foundations of Quantum MechanicsMilnor - Topology from the Differentiable ViewpointAlon and Spencer - The Probabilistic MethodGraham, Rothschild, Spencer - Ramsey TheoryRudin - Principles of Mathematical Analysis, Real and Complex Analysis,Functional AnalysisLang - Algebra
What are the classic texts of mathematics?
You might want to compare my list against Wikipedia's List of important publications in mathematicsAncient EgyptRhind Mathematical PapyrusAncient GreeceEuclid - ElementsDiophantus - ArithmeticaApollonius - ConicsArchimedes - On the Sphere and Cylinder, The Method of Mechanical Theorems and Measurement of a Circle, among others.Ptolemy - AlmagestIslamic Golden Ageal-Khwārizmī - The Compendious Book on Calculation by Completion and BalancingOmar Khayyám - Treatise on Demonstration of Problems of AlgebraJamshid al-Kāshi - The Key to ArithmeticAncient IndiaBrahmagupta - BrāhmasphuṭasiddhāntaBhāskara II - Lilāvati and Bija Ganita (Algebra)Ancient ChinaThe Ten Mathematical ClassicsEuropean MathematiciansAlcuin of York - Propositiones ad acuendos juvenesFibonacci - Liber AbaciCopernicus - De revolutionibus orbium coelestiumCardano - Ars MagnaKepler - Astronomia nova and Harmonices MundiDescartes - La GéométrieNewton - Philosophiæ Naturalis Principia MathematicaLeibniz - De Arte CombinatoriaSaccheri - Euclides ab omni naevo vindicatusAbraham de Moivre - The Doctrine of ChancesJakob Bernoulli - Ars ConjectandiEuler - Elements of Algebra, Introduction to Analysis of the Infinite, Foundations of Differential Calculus, Foundations of Integral Calculus, Mechanics (Volume 1) and Volume 2.Lagrange - Mecanique AnalytiqueLaplace - Méchanique Céleste and Théorie analytique des probabilitésFourier - Théorie analytique de la chaleurGauss - Disquisitiones Arithmeticae and Theory of Motion of the Heavenly Bodies Moving About the Sun in Conic SectionsBolyaiLobachevsky - Geometrical investigations on the theory of parallel linesDirichlet - Vorlesungen über Zahlentheorie (coauthored with Dedekind)Dedekind - Essays on the Theory of Numbers, Theory of Algebraic Integers, Continuity and Irrational NumbersRiemann - Ueber die Hypothesen, welche der Geometrie zu Grunde liegen, Ueber die Anzahl der Primzahlen unter einer gegebenen GrössePoincaré - Analysis Situs, New Methods of Celestial MechanicsHilbert - Grundlagen der Geometrie, Die Theorie der algebraischen ZahlkorperLebesgue - Leçons sur l'intégration et la recherche des fonctions primitivesHardy - An Introduction to the Theory of Numbers, A Course of Pure Mathematics, Divergent Series, Inequalities (coauthored with Polya)Weil - Foundations of Algebraic Geometry, Basic Number Theory (it is not basic!)Weyl - Algebraic Theory of Numbers, The Classical GroupsAmerican MathematiciansH S M Coxeter - Regular Polytopes, Projective GeometryFord and Fulkerson - Flows in Networksvon Neumann - Mathematical Foundations of Quantum MechanicsMilnor - Topology from the Differentiable ViewpointAlon and Spencer - The Probabilistic MethodGraham, Rothschild, Spencer - Ramsey TheoryRudin - Principles of Mathematical Analysis, Real and Complex Analysis, Functional AnalysisLang - Algebra
What are the top 10 topics for a mathematics project with a model for class 11 and class 12?
Topics for Maths Project :-1. Project on history of Mathematicians: It may include history of Indianmathematicians such as Aryabhata, Brahmgupta, Varahamihir, Sridhara,Bhaskaracharya, Ramanujan etc., and history of foreign mathematicianssuch as Cantor, Pythagoras, Thales, Euclid, Appollonius, Descartes, Fermat,Leibnitz, Euler, Fibonac, Gauss, Newton, etc.2. On linear Programming problems related to day-to-day life like collectingdata from families of their expenditures and requirements from thefactories to maximum out put.3. Collect data from dieticians, transporters, agents and formulate linearprogramming problems.4. Make a chart of the formulae of applications of calculus.5. Applications of conic sections, vectors, three dimensional geometry,calculus, etc., in Mathematics and Physics.6. Mathematics and Chemistry: Study structure of organic compounds..7. Mathematics and Music8. Mathematics and Environment9. Mathematics and Arts: Construction of shapes using curves10. Mathematics and Information and Communication Technology: Writing of Mathematical programmes, flow charts, algorithm, circuit diagrams etc.11. Collection of statistical data and analysing it for standard deviation andmean deviation.12. Observe the various patterns and properties in Pascal’s triangle and make a project13. Prepare a project based on the Fibonacci sequence, their properties an similar pattern found in nature.14. Study the nature of mathematics and make a project showing where three aspects of nature of mathematics - formalism, logic, intuition is applied in the development of mathematics.
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