Students and research workers in mathematics, physics, engineering and other sciences will find this compilation of more than 2000 mathematical formulas and tables invaluable. Half a million copies were sold of the first edition! Excluding rarely used results, topics range from elementary to advanced, from algebra, trigonometry and calculus to vector analysis, Bessel and Legendre functions and elliptical functions.
Table of contents:
Section I: Elementary Constants, Products, Formulas. Greek Alphabet and Special Constants. Special Products and Factors. The Binomial Formula and Binomial Coefficients. Complex Numbers. Solutions of Algebraic Equations. Conversion Factors. Section II: Geometry. Geometric Formulas. Formulas from Plane Analytic Geometry. Special Plane Curves. Formulas from Solid Analytical Geometry. Special Moments of Inertia. Section III: Elementary Transcendental Functions. Trigonometric Functions. Exponential and Logarithmic Functions. Hyperbolic Functions. Section IV: Calculus. Derivatives. Indefinite Integrals. Tables of Special Indefinite Integrals. Definite Integrals. Section V: Differential Equations and Vector Analysis. Basic Differential Equations and Solutions. Formulas from Vector Analysis. Section VI: Series. Series of Constants. Taylor Series. Bernoulli and Euler Numbers. Fourier Series. Section VII: Special Functions and Polynomials. The Gamma Function. The Beta Function. Bessel Functions. Legendre and Associated Legendre Functions. Hermite Polynomials. Laguerre and Associated Laguerre Polynomials. Chebyshev Polynomials. Hypergeometric Functions. Section VIII: Laplace and Fourier Transforms. Laplace Transforms. Fourier Transforms. Section IX: Elliptic and Miscellaneous Special Functions. Elliptic Functions. Miscellaneous and Riemann Zeta Functions. Section X: Inequalities and Infinite Products. Inequalities. Infinite Products. Section XI: Probability and Statistics. Descriptive Statistics. Random Variables. Probability Distributions. Section XII: Numerical Methods. Interpolation. Quadrature. Solution of Nonlinear Equations. Numerical Methods for Ordinary Differential Equations. Numerical Methods for Partial Differential Equations. Iteration Methods for Linear Systems.
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!
This outline supplies a collection of mathematical formulas and numerical tables used by students of mathematics, physics, engineering, and other sciences. The book covers elementary concepts in algebra, geometry, etc. and more advanced concepts in differential equations and vector analysis. This revision will eliminate unnecessary tables (which provide values that are easily obtained on graphing calculators) and will provide important formulas in Numerical Analysis, a required course for juniors and seniors majoring in mathematics.
Table of contents:
Section I: Elementary Constants, Products, Formulas. Greek Alphabet and Special Constants. Special Products and Factors. The Binomial Formula and Binomial Coefficients. Complex Numbers. Solutions of Algebraic Equations. Conversion Factors. Section II: Geometry. Geometric Formulas. Formulas from Plane Analytic Geometry. Special Plane Curves. Formulas from Solid Analytical Geometry. Special Moments of Inertia. Section III: Elementary Transcendental Functions. Trigonometric Functions. Exponential and Logarithmic Functions. Hyperbolic Functions. Section IV: Calculus. Derivatives. Indefinite Integrals. Tables of Special Indefinite Integrals. Definite Integrals. Section V: Differential Equations and Vector Analysis. Basic Differential Equations and Solutions. Formulas from Vector Analysis. Section VI: Series. Series of Constants. Taylor Series. Bernoulli and Euler Numbers. Fourier Series. Section VII: Special Functions and Polynomials. The Gamma Function. The Beta Function. Bessel Functions. Legendre and Associated Legendre Functions. Hermite Polynomials. Laguerre and Associated Laguerre Polynomials. Chebyshev Polynomials. Hypergeometric Functions. Section VIII: Laplace and Fourier Transforms. Laplace Transforms. Fourier Transforms. Section IX: Elliptic and Miscellaneous Special Functions. Elliptic Functions. Miscellaneous and Riemann Zeta Functions. Section X: Inequalities and Infinite Products. Inequalities. Infinite Products. Section XI: Probability and Statistics. Descriptive Statistics. Random Variables. Probability Distributions. Section XII: Numerical Methods. Interpolation. Quadrature. Solution of Nonlinear Equations. Numerical Methods for Ordinary Differential Equations. Numerical Methods for Partial Differential Equations. Iteration Methods for Linear Systems.
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!
This outline supplies a collection of mathematical formulas and numerical tables used by students of mathematics, physics, engineering, and other sciences. The book covers elementary concepts in algebra, geometry, etc. and more advanced concepts in differential equations and vector analysis. This revision will eliminate unnecessary tables (which provide values that are easily obtained on graphing calculators) and will provide important formulas in Numerical Analysis, a required course for juniors and seniors majoring in mathematics.