PirateBay Download | source book mathematics 1200 1800 gnv64

source book mathematics 1200 1800 gnv64

Type:: E-books
Files:: 4
Size:: 46.6 MB
Uploaded On:: June 27, 2016, 12:15 p.m.
Added By:: gnv65
Seeders:: 0
Leechers:: 0
Info Hash:: 673CA9C8863318CB81F33E09B2E61B6B107B4552

A Source Book in Mathematics, 1200-1800 (Princeton Legacy Library) by Dirk Jan Struik Princeton University Press | 1986 | ISBN 0-691-02397-2 | 433 Pages | PDF | 46.6 mb This Source Book contains selections from mathematical writings of authors in the Latin world, authors who lived in the period between the thirteenth and the end of the eighteenth century. The choice was made from books and from shorter writings. Usually only a significant part of the document has been taken, although occasionally it was possible to include a complete text. The selection has been confined to pure mathematics or to those fields of applied mathematics that had a direct bearing on the development of pure mathematics, such as the theory of the vibrating string. The works of scholastic authors are omitted, except where, as in the case of Oresme, they have a direct connection with writings of the period of our survey. Laplace is represented in the Source Book on nineteenth-century calculus. CONTENTS Errata et Addenda vii Abbreviations of Titles xiv CHAPTER I ARITHMETIC Introduction 1 1. Leonardo of Pisa. The rabbit problem 2 2. Becorde. Elementary arithmetic 4 3. Stevin. Decimal fractions 7 4. Napier. Logarithms 11 5. Pascal. The Pascal triangle 21 6. Ferm at. Two Fermat theorems and Fermat numbers 26 7. Fermat. The "Pell" equation 29 8. Euler. Power residues 31 9. Euler. Fermat's theorem for ? = 3, 4 36 10. Euler. Quadratic residues and the reciprocity theorem 40 11. Goldbach. The Goldbach theorem 47 12. Legendre. The reciprocity theorem 49 CHAPTER II ALGEBRA Introduction 55 1. Al-Khwarizmi. Quadratic equations 55 2. Chuquet. The triparty 60 3. Cardan. On cubic equations 62 4. Ferrari. The biquadratic equation 69 5. Yiete. The new algebra 74 6. Girard. The fundamental theorem of algebra 81 7. Descartes. The new method 87 8. Descartes. Theory of equations 89 9. Newton. The roots of an equation 93 10. Euler. The fundamental theorem of algebra 99 11. Lagrange. On the general theory of equations 102 12. Lagrange. Continued fractions 111 13. Gauss. The fundamental theorem of algebra 115 14. Leibniz. Mathematical logic 123 CHAPTER ?II GEOMETRY Introduction 133 1. Oresme. The latitude of forms 134 2. Regiomontanus. Trigonometry 138 3. Fermat. Coordinate geometry 143 4. Descartes. The principle of nonhomogeneity 150 5. Descartes. The equation of a curve 155 6. Desargues. Involution and perspective triangles 157 7. Pascal. Theorem on conics 163 8. Newton. Cubic curves 168 9. Agnesi. The versiera 178 10. Cramer and Euler. Cramer's paradox 180 11. Euler. The Bridges of Konigsberg 183 CHAPTER IV ANALYSIS BEFORE NEWTON AND LEIBNIZ Introduction 188 1. Stevin. Centers of gravity 189 2. Kepler. Integration methods 192 3. Galilei. On infinites and infinitesimals 198 4. Galilei. Accelerated motion 208 5. Cavalieri. Principle of Cavalieri 209 6. Cavalieri. Integration 214 7. Fermat. Integration 219 8. Fermat. Maxima and minima 222 9. Torricelli. Volume of an infinite solid 227 10. Roberval. The cycloid 232 11. Pascal. The integration of sines 238 12. Pascal. Partial integration 241 13. Wallis. Computation of p by successive interpolations 244 14. Barrow. The fundamental theorem of the calculus 253 15. Huygens. Evolutes and involutes 263 CHAPTER V NEWTON, LEIBNIZ, AND THEIR SCHOOL Introduction 270 1. Leibniz. The first publication of his differential calculus 271 2. Leibniz. The first publication of his integral calculus 281 3. Leibniz. The fundamental theorem of the calculus 282 4. Newton and Gregory. Binomial series 284 5. Newton. Prime and ultimate ratios 291 6. Newton. Genita and moments 300 7. Newton. Quadrature of curves 303 8. L'H6pital. The analysis of the infinitesimally small 312 9. Jakob Bernoulli. Sequences and series 316 10. Johann Bernoulli. Integration 324 11. Taylor. The Taylor series 328 12. Berkeley. The Analyst 333 13. Maclaurin. On series and extremes 338 14. D'Alembert. On limits 341 15. Euler. Trigonometry 345 16. D'Alembert, Euler, Daniel Bernoulli. The vibrating string and its partial differential equation 351 17. Lambert. Irrationality of -p 369 18. Fagnano and Euler. Addition theorem of elliptic integrals 374 19. Euler, Landen, Lagrange. The metaphysics of the calculus 383 20. Johann and Jakob Bernoulli. The brachystochrone 391 21. Euler. The calculus of variations 399 22. Lagrange. The calculus of variations 406 23. Monge. The two curvatures of a curved surface 413 INDEX 421 https://s32.postimg.org/5vgt75enp/A_Source_Book_in_Mathematics_1200_1800.jpg

Get This Torrent

A Source Book in Mathematics, 1200-1800 (gnv64).pdf 46.6 MB
Torrent downloaded from gnv64 torrents at btstorr.cc.txt 121 bytes
Torrent downloaded from AhaShare.com.txt 59 bytes
Torrent downloaded from demonoid.pw.txt 46 bytes

Details for: A Source Book in Mathematics, 1200-1800 (gnv64)

source book mathematics 1200 1800 gnv64

Similar Posts: