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Methods of Mathematics Applied to Calculus, Probability, and Statistics
ISBN-13:
9780486138879
Veröffentl:
2012
Einband:
EPUB
Seiten:
880
Autor:
Richard W. Hamming
Serie:
Dover Books on Mathematics
eBook Typ:
EPUB
eBook Format:
Reflowable EPUB
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Englisch
Beschreibung:
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.
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.
Preface
I. 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—Conics
II. 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 Probability
III. 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 Variables
IV. Miscellaneous Topics
20. Infinite Series
21. Applications of Infinite Series
22. Fourier Series
23. Differential Equations
24. Linear Differential Equations
25. Numerical Methods
26. Epilogue
Appendixes
Answers to Some of the Exercises
Index
I. 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—Conics
II. 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 Probability
III. 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 Variables
IV. Miscellaneous Topics
20. Infinite Series
21. Applications of Infinite Series
22. Fourier Series
23. Differential Equations
24. Linear Differential Equations
25. Numerical Methods
26. Epilogue
Appendixes
Answers to Some of the Exercises
Index