tailieunhanh - Ebook Advanced engineering mathematics (10/E): Part 1

Part 1 book “Advanced engineering mathematics” has contents: First-order ODEs, second-order linear ODEs, higher order linear ODEs, systems of ODEs, phase plane, qualitative methods, series solutions of ODEs, special functions, laplace transforms, linear algebra - matrix eigenvalue problems, and other contents. | 11/4/10 12:05 PM Page 2 Systems of Units. Some Important Conversion Factors The most important systems of units are shown in the table below. The mks system is also known as the International System of Units (abbreviated SI), and the abbreviations sec (instead of s), gm (instead of g), and nt (instead of N) are also used. System of units Length Mass Time Force cgs system centimeter (cm) gram (g) second (s) dyne mks system meter (m) kilogram (kg) second (s) newton (nt) Engineering system foot (ft) slug second (s) pound (lb) 1 inch (in.) ⫽ cm 1 foot (ft) ⫽ 12 in. ⫽ cm 1 yard (yd) ⫽ 3 ft ⫽ cm 1 statute mile (mi) ⫽ 5280 ft ⫽ km 1 nautical mile ⫽ 6080 ft ⫽ km 1 acre ⫽ 4840 yd2 ⫽ m2 1 mi2 ⫽ 640 acres ⫽ km2 1 fluid ounce ⫽ 1/128 . gallon ⫽ 231/128 ⫽ cm3 1 . gallon ⫽ 4 quarts (liq) ⫽ 8 pints (liq) ⫽ 128 fl oz ⫽ cm3 1 British Imperial and Canadian gallon ⫽ . gallons ⫽ cm3 1 slug ⫽ kg 1 pound (lb) ⫽ nt 1 newton (nt) ⫽ 105 dynes 1 British thermal unit (Btu) ⫽ joules 1 joule ⫽ 107 ergs 1 calorie (cal) ⫽ joules 1 kilowatt-hour (kWh) ⫽ Btu ⫽ • 106 joules 1 horsepower (hp) ⫽ Btu/h ⫽ cal/sec ⫽ kW 1 kilowatt (kW) ⫽ 1000 watts ⫽ Btu/h ⫽ cal/s °F ⫽ °C • ⫹ 32 1° ⫽ 60⬘ ⫽ 3600⬙ ⫽ radian For further details see, for example, D. Halliday, R. Resnick, and J. Walker, Fundamentals of Physics. 9th ed., Hoboken, N. J: Wiley, 2011. See also AN American National Standard, ASTM/IEEE Standard Metric Practice, Institute of Electrical and Electronics Engineers, Inc. (IEEE), 445 Hoes Lane, Piscataway, N. J. 08854, website at . 11/4/10 12:05 PM Page 3 Differentiation (cu)⬘ ⫽ cu⬘ (c constant) Integration 冕 uv⬘ dx ⫽ uv ⫺ 冕 u⬘v dx (by parts) 冕 x dx ⫽ nx ⫹ 1 ⫹ c (n ⫽ ⫺1) n⫹1 (u ⫹ v)⬘ ⫽ u⬘ ⫹ v⬘ (uv)⬘ ⫽ .

• Toán học
• Advanced engineering mathematics
• First order ODEs
• Second order linear ODEs
• Higher order linear ODEs
• Vector differential calculus
• Laplace transforms
• Engineering mathematics
• Advanced engineering
• Advanced mathematics
• Ordinary differential equations
• Power series solutions
• The eigenvalue problem
• Vectors in 3 space
• Qualitative methods
• Complex numbers
• Complex integration
• Numeric linear algebra
• Potential theory
• Complex analysis
• Differential equations
• The laplace transform
• Series solutions
• Approximation of solutions
• Fourier series
• The fourier integral
• The potential equation
• The residue theorem
• Fourier analysis
• Partial differential equations
• Laurent series
• Residue integration
• Conformal mapping
• Systems of ODEs
• Phase plane
• Numerics in general
• wind engineering
• Mathematics
• Physics
• Scientific reports
• scientific studies
• natural sciences
• Công thức toán học
• Toán ứng dụng
• Toán kĩ thuật
• Bài giảng toán kĩ thuật
• Lý thuyết toán
• Toán kỹ thuật
• Bài giảng Toán kỹ thuật
• Lý thuyết trường
• Hàm biến phức
• Biến đổi Fourier
• Biến đổi Laplace
• principles of mathematics
• math practice
• math concepts
• technical perspective
• access to technology
• technology providers
• ngành cơ khí
• động cơ máy
• nguyên lí hoạt động
• hệ thống máy móc
• cơ khí hóa
• động cơ máy móc
• chế tạo động cơ
• cơ khí chế tạo máy
• tài liệu cơ khí
• sổ tay cơ khí
• hướng dẫn cơ khí
• ôn thi cơ khí