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Mathematical Analysis (2,987 Books)


Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions. These theories are often studied in the context of real numbers, complex numbers, and real and complex functions. However, they can also be defined and studied in any space of mathematical objects that has a definition of nearness (a topological space) or, more specifically, distance (a metric space).

 
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Complex numbers : Multiplying Complex Numbers

By: Sal Khan, Monterey Institute for Technology and Education

Multiplying Complex Numbers

Understanding i and the complex plane

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Complex numbers : Complex Numbers (part 1)

By: Sal Khan

Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.

Understanding i and the complex plane

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Complex numbers : Complex Numbers

By: Sal Khan, Monterey Institute for Technology and Education

Complex Numbers

Understanding i and the complex plane

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Complex numbers : Adding Complex Numbers

By: Sal Khan, Monterey Institute for Technology and Education

Adding Complex Numbers

Understanding i and the complex plane

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Complex numbers : Subtracting Complex Numbers

By: Sal Khan, Monterey Institute for Technology and Education

Subtracting Complex Numbers

Understanding i and the complex plane

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Complex numbers : Dividing Complex Numbers

By: Sal Khan, Monterey Institute for Technology and Education

Dividing Complex Numbers

Understanding i and the complex plane

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Intro to differential equations : Simple Differential Equations

By: Sal Khan

3 basic differential equations that can be solved by taking the antiderivatives of both sides.

Differential equations with only first derivatives.

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Complex numbers : Complex Numbers (part 2)

By: Sal Khan

Dividing complex numbers. Complex conjugates.

Understanding i and the complex plane

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Key to Todhunter's Differential Calculus

By: Hunter, Harry St. John Arnele; Todhunter, Isaac, 1820-1884. Treatise on the Differential Calculus

The references ... are to the tenth edition of the Differential calculus.--Pref

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Theory of Differential Equations : Volume 2

By: Forsyth, Andrew Russell, 1858-1942

Differential equations

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An Elementary Treatise on the Differential Calculus, Containing th...

By: Williamson, Benjamin, 1827-1916

Differential calculus

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Problems in Differential Calculus. Supplementary to a Treatise on ...

By: Byerly, W. E. (William Elwood), 1849-1935

Differential calculus -- Problems, exercises, etc

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Second-order Linear Differential Equations

By: Technical Books Center

Description: This note contains problems and their solutions related to Second-Order Linear Differential Equations

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Introduction to Differential Equations

By: Chasnov Jeffrey R.

Description: This book covers the following topics: Introduction to odes, First-order odes, Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations

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Ordinary Differential Equations and Dynamical Systems

By: Gerald Teschl

Description: The aim of this book is to give a self contained introduction to the field of ordinary differential equations with emphasis on the dynamical systems point of view while still keeping an eye on classical tools as pointed out before. Covered topics are: Newton�s equations, Classification of differential equations, First order autonomous equations, Qualitative analysis of first order equations, Initial value problems, Linear equations, Differential equations in...

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Introduction to Number Theory

By: George E. Andrews

Description: Although mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic. In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory. In studying number theory from such a per...

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Challenging complex number problems : IIT JEE Complex Numbers (part 1)

By: Sal Khan

2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1)

Understanding i and the complex plane

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Separable equations : Separable Differential Equations

By: Sal Khan

Introduction to separable differential equations.

Differential equations with only first derivatives.

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Challenging complex number problems : IIT JEE Complex Numbers (part 3)

By: Sal Khan

2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3)

Understanding i and the complex plane

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Challenging complex number problems : IIT JEE Complex Numbers (part 2)

By: Sal Khan

2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2)

Understanding i and the complex plane

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