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Spiegel M.R. — Mathematical Handbook of Formulas and Tables
Spiegel M.R. — Mathematical Handbook of Formulas and Tables



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Название: Mathematical Handbook of Formulas and Tables

Автор: Spiegel M.R.

Аннотация:

Book Description
This handbook is unusual in that it combines in a single volume formulas and tables from both elementary and advanced mathematics. For example, topics treated range from those in algebra, geometry, trigonometry, analytic geometry and calculus to Fourier series, Laplace and Fourier transforms, Bessel and Legendre functions and many other advanced special functions. Such topics are needed by both students and research workers in the fields of engineering, physics, mathematics and other sciences.

From the Back Cover

Students love Schaum's Outlines! Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. Get the edge on your classmates. Use Schaum's!

If you don't have a lot of time but want to excel in class, this book helps you:

* Brush up before tests
* Find answers fast
* Learn key formulas and tables
* Study quickly and more effectively

Schaum's Outlines give you the information teachers expect you to know in a handy and succinct format­­without overwhelming you with unnecessary detail. You get a complete overview of the subject, plus plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's let you study at your own pace and reminds you of all the important facts you need to remember­­fast! And Schaum's are so complete, they're perfect for preparing for graduate or professionalexams!

Inside, you will find:

* More than 2400 formulas and tables
* Clear and concise explanations of all results
* Formulas and tables for elementary to advanced topics
* Complete index to all topics

If you want top grades and easy-to-use information for your math and science courses, this powerful study tool and reference is the best guide you can have!


Язык: en

Рубрика: Математика/Справочники/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1968

Количество страниц: 271

Добавлена в каталог: 21.10.2004

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Pascal's triangle      4 236
Pascal, limacon of      41 44
Perpendicular, condition for lines to be      35
Plane analytic geometry, formulas from      34—39
Plane triangle, area of      5 35
Plane triangle, law of cosines for      19
Plane triangle, law of sines for      19
Plane triangle, law of tangents for      19
Plane triangle, perimeter of      5
Plane triangle, radius of circle circumscribing      6
Plane triangle, radius of circle inscribed in      6
Plane triangle, relationships between sides and angles of      19
Poisson distribution      189
Poisson summation formula      109
Polar coordinates      22 36
Polar coordinates, transformation from rectangular to      36
Polar form of a complex number      22 25
Polar form, expressed as an exponential      25
Polar form, multiplication and division in      22
Polar form, operations in      25
Power      23
Power series      110
Power series, reversion of      113
Present value of an amount      241
Present value of an annuity      243
Principal branch      17
Principal values for inverse hyperbolic functions      29
Principal values for inverse trigonometric functions      17 18
Probability distributions      189
Products, infinite      102 188
Products, special      2
Prolate cycloid      42
Prolate spheroidal coordinates      128
Prolate spheroidal coordinates, Laplacian in      128
Pulse function      173
Pyramid, volume of      9
Quadrants      11
Quadratic equation, solution of      32
Quartic equation, solution of      33
RADIANS      1 12 199 200
Radians, relationship of to degrees      12 199 200
Radians, table for conversion of      222
Random numbers, table of      262
Real part of a complex number      21
Reciprocals, table of      238 239
Rectangle, area of      5
Rectangle, perimeter of      5
Rectangular coordinate system      117
Rectangular coordinates, transformation of to polar coordinates      36
Rectangular formula for definite integrals      95
Rectangular parallelepiped, surface area of      8
Rectangular parallelepiped, volume of      8
Rectified sine wave function      172
Rectified sine wave function, half      172
Recurrence or recursion formulas      101 137 139 147 149 151 153 156 158 159
Regular polygon, area of      6
Regular polygon, circumscribing a circle      7
Regular polygon, inscribed in a circle      7
Regular polygon, perimeter of      6
Reversion of power series      113
Riemann zeta function      184
Right circular cone, lateral surface area of      9
Right circular cone, volume of      9
Right-handed system      118
Rodrigue's formulas      146 151 153
Roots of complex numbers      22 25
Roots, table of square and cube      238 239
Rose, three- and four-leaved      41
Rotation of coordinates in a plane      36
Rotation of coordinates in space      49
Saw tooth wave function      172
Scalar or dot product      117 118
Scalars      116
Scale factors      124
Sector of circle, arc length of      6
Sector of circle, area of      6
Segment of circle, area of      7
Segment of parabola, arc length of      7
Segment of parabola, area of      7
Separation of variables      104
Series, arithmetic      107
Series, arithmetic-geometric      107
Series, binomial      2 110
Series, geometric      107
Series, of powers of positive integers      107 108
Series, of reciprocals of powers of positive integers      108 109
Series, ortogonal      see “Ortogonality and ortogonal series”
Series, power      110 113
Simple closed curve      123
Simpson's formula for definite integrals      95
Sine integral      183
Sine integral, Fresnel      184
Sine integral, table of values for      251
Sines, law of for plane triangle      19
Sines, law of for spherical triangle      19
Slope of line      34
Solid analytic geometry, formulas from      46-52
Solutions of algebraic equations      32 33
Sphere, equation of      50
Sphere, surface area of      8
Sphere, volume of      8
Spherical cap, surface area of      9
Spherical cap, volume of      9
Spherical coordinates      50 126
Spherical coordinates, Laplacian in      126
Spherical triangle, area of      10
Spherical triangle, Napier's rules for right angled      20
Spherical triangle, relationships between sides and angles of      19 20
Spiral of Archimedes      45
Square roots, table of      238 239
Square wave function      172
Squares, table of      238 239
Step function      173
Stirling's asymptotic series      102
Stirling's asymptotic series, formula      102
Stoke's theorem      123
Student's t distribution      189
Student's t distribution, percentile values for      258
Summation formula, Euler — Maclaurin      109
Summation formula, Poisson      109
Surface integrals      122
Surface integrals, relation of to double integral      123
Tangent vectors to curves      124
Tangents, law of for plane triangle      19
Tangents, law of for spherical triangle      20
Taylor series      110—113
Taylor series for functions of one variable      110
Taylor series for functions of two variables      113
Terminal point of a vector      116
Toroidal coordinates      129
Toroidal coordinates, Laplacian in      129
Torus, surface area of      10
Torus, volume of      10
Tractrix      43
Transformation of coordinates      36 48 49 124
Transformation of integrals      59 60 125
Transformation, Jacobian of      125
Translation of coordinates in a plane      36
Translation of coordinates in space      49
Trapezoid, area of      5
Trapezoid, perimeter of      5
Trapezoidal formula for definite integrals      95
Triangle inequality      185
Triangular wave function      172
Trigonometric functions      11—20
Trigonometric functions sum, difference and product of      17
Trigonometric functions, addition formulas for      15
Trigonometric functions, definition of      11
Trigonometric functions, double angle formulas for      16
Trigonometric functions, exact values of for various angles      13
Trigonometric functions, for various quadrants in terms of quadrant      I 15
Trigonometric functions, general formulas involving      17
Trigonometric functions, graphs of      14
Trigonometric functions, half angle formulas      16
Trigonometric functions, multiple angle formulas for      16
Trigonometric functions, of negative angles      14
Trigonometric functions, powers of      16
Trigonometric functions, relationship of to exponential functions      24
Trigonometric functions, relationship of to hyperbolic functions      31
Trigonometric functions, relationships among      12 15
Trigonometric functions, sample problems involving      197—199
Trigonometric functions, series for      111
Trigonometric functions, signs and variations of      12
Trigonometric functions, table of in degrees and minutes      206—211
Trigonometric functions, table of in radians      212—215
Trigonometric functions, table of logarithms of      216—221
Triple integrals      122
Trochoid      42
Unit function, Heaviside''s      173
Unit normal to a surface      122
Unit vectors      117
Vector algebra, laws of      117
Vector analysis, formulas from      116—130
Vector or cross product      118
Vectors      116
Vectors, addition of      116 117
Vectors, complex numbers as      22
Vectors, components of      117
Vectors, equality of      117
Vectors, fundamental definitions involving      116 117
Vectors, multiplication of by scalars      117
Vectors, notation for      116
Vectors, null      116
Vectors, parallelogram law for      116
Vectors, sums of      116 117
Vectors, tangent      124
Vectors, unit      117
Volume integrals      122
Wallis' product      188
Weber's function      136
Witch of Agnesi      43
x axis      11
x intercept      34
y axis      11
y intercept      34
Zero vector      116
Zeros of Bessel functions      250
Zeta function of Riemann      184
1 2 3
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