Methods of Mathematics Applied to Calculus, Probability, and Statistics (eBook)

Richard W. Hamming (Autor)

eBook Download: EPUB

2012
Dover Publications (Verlag)
978-0-486-13887-9 (ISBN)

Infos

This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.

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Understanding calculus is vital to the creative applications of mathematics in numerous areas. This text focuses on the most widely used applications of mathematical methods, including those related to other important fields such as probability and statistics. The four-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. In addition to three helpful appendixes, the text features answers to some of the exercises. Appropriate for advanced undergraduates and graduate students, it is also a practical reference for professionals. 1985 edition. 310 figures. 18 tables.

Autor

Richard W. Hamming: The Computer Icon Richard W. Hamming (1915–1998) was first a programmer of one of the earliest digital computers while assigned to the Manhattan Project in 1945, then for many years he worked at Bell Labs, and later at the Naval Postgraduate School in Monterey, California. He was a witty and iconoclastic mathematician and computer scientist whose work and influence still reverberates through the areas he was interested in and passionate about. Three of his long-lived books have been reprinted by Dover: Numerical Methods for Scientists and Engineers, 1987; Digital Filters, 1997; and Methods of Mathematics Applied to Calculus, Probability and Statistics, 2004. In the Author's Own Words:"The purpose of computing is insight, not numbers.""There are wavelengths that people cannot see, there are sounds that people cannot hear, and maybe computers have thoughts that people cannot think." "Whereas Newton could say, 'If I have seen a little farther than others, it is because I have stood on the shoulders of giants, I am forced to say, 'Today we stand on each other's feet.' Perhaps the central problem we face in all of computer science is how we are to get to the situation where we build on top of the work of others rather than redoing so much of it in a trivially different way." "If you don't work on important problems, it's not likely that you'll do important work." — Richard W. Hamming

Inhalt

PrefaceI. Algebra and Analytic Geometry 1. Prologue 2. The Integers 3. Fractions—Rational Numbers 4. Real Numbers, Functions, and Philosophy 5. Analytic Geometry. 6. Curves of Second Degree—ConicsII. The Calculus of Algebraic Functions 7. Derivatives in Geometry 8. Geometric Applications 9. Nongeometric Applications 10. Functions of Several Variables 11. Integration 12. Discrete Probability 13. Continuous ProbabilityIII. The Transcendental Functions and Applications 14. The Logarithm Function 15. The Exponential Function 16. The Trigonometric Functions 17. Formal Integration 18. Applications Using One Independent Variable 19. Applications Using Several Independent VariablesIV. Miscellaneous Topics 20. Infinite Series 21. Applications of Infinite Series 22. Fourier Series 23. Differential Equations 24. Linear Differential Equations 25. Numerical Methods 26. EpilogueAppendixesAnswers to Some of the ExercisesIndex

Produkt-Details

• Erscheint lt. Verlag: 28.6.2012
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Gewicht: 1225 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 0-486-13887-9 / 0486138879
• ISBN-13: 978-0-486-13887-9 / 9780486138879