Showing posts with label Mathematical. Show all posts
Showing posts with label Mathematical. Show all posts

Tuesday, October 16, 2007

Calculus Hand Book


this free book, it all about calculus, written by by Professor Gilbert Strang, Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multi variable calculus in depth, and is rich with applications. Now this book available online and free to download.
here some content list of the book
Introduction to Calculus
Derivatives
Applications of the Derivative
The Chain Rule
Integrals
Exponentials and Logarithms
Techniques of Integration
Applications of the Integral
Polar Coordinates and Complex Numbers
Infinite Series
Vectors and Matrices
Motion along a Curve
Partial Derivatives
Multiple Integrals
Vector Calculus
Mathematics after Calculus

and lot of others

you can download file by file here :

table of contents
Index of Books
Table and Equation of Mathematic

Chapter one : Introduction to Calculus (4 Mb)

Chapter two : derivative (4 Mb)


Chapter three : Applications of the Derivative
(6 Mb)


chapter four : Chain of rule
(2 Mb)

Chapter 5 : Integral (4,8 Mb)

Chapter six : Exponentials and Logarithms (4.7 Mb)

Chapter seven : Techniques of Integration (2.6 Mb)

Chapter eight : Applications of the Integral (3.4 Mb)

Chapter nine : Polar Coordinates and Complex Numbers (1.7 Mb)

Chapter ten : Infinite Series (2.9 Mb)

Chapter eleven : Vectors and Matrices (4 Mb)

Chapter twelve : motion along a curve (2.2 Mb)

Chapter thirteen : Partial Derivative (4.9 Mb)

Chapter forty: (2.5 Mb)

chapter fifty : Vector Calculus (4.3 Mb)

Chapter sixty : After Calculus (1.8 Mb)


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Saturday, September 22, 2007

Introduction to Continuum Mechanics for Engineers


Continuum mechanics is a branch of physics specifically mechanics that deals with continuous matter, including both solids and fluids (in example liquids and gases.this book will introductory more on matrix algebra, vectors and Cartesian tensors, and an analysis of deformation and stress; succeeding chapters examine laws of conservation of mass, momentum, and energy as well as the formulation of mechanical constitutive equations,
The physical laws of solids and fluids do not depend on the coordinate system in which they are observed. Continuum mechanics thus uses tensors, which are mathematical objects that are independent of coordinate system. These tensors can be expressed in coordinate systems for computational convenience.

this book is free for individual download permitted by the author.

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Tuesday, June 26, 2007

Algorithms Course Materials

This class is ultimately about learning two skills that are crucial for computer scientists: how to think about algorithms and how to talk about algorithms. Along the way, you'll pick up a bunch of algorithmic facts—mergesort runs in O(n log n) time; the amortized time to search in a splay tree is O(log n); greedy algorithms usually don't produce optimal solutions; the traveling salesman problem is NP-hard—but these aren't the point of the course. You can always look up mere facts in a textbook or on the web, provided you have enough intuition and experience to know what to look for. That's why we let you bring cheat sheets to the exams; we don't want you wasting your study time trying to memorize all the facts you've seen. You'll also practice a lot of algorithm design and analysis skills—finding useful (counter)examples, developing induction proofs, solving recurrences, using big-Oh notation, using probability, giving problems crisp mathematical descriptions, and so on. These skills are very useful, but they aren't really the point of the course either. At this point in your educational career, you should be able to pick up those skills on your own, once you know what you're trying to do.

Download link
-Cover Material
Lecture Note
Home works and exam


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Saturday, June 16, 2007

Calculus-Based Physiscs

Calculus Based Physics I

here some of content of the book

Mathematical Prelude
Conservation of Mechanical Energy I: Kinetic Energy & Gravitational Potential Energy
Conservation of Mechanical Energy II: Springs, and, Rotational Kinetic Energy
Conservation of Momentum
Relative Velocity
Gravitational Force Near the Surface of the Earth, First Brush with Newton’s 2nd Law
Freefall, a.k.a. Projectile Motion
Newton’s Laws #1: Using Free Body Diagrams
Newton’s Laws #2: Kinds of Forces, Creating Free Body Diagrams
Newton’s Laws #3: Components, Friction, Ramps, Pulleys, and Strings
Charge & Coulomb’s Law
The Electric Field: Description and Effect
The Electric Field Due to one or more Point Charges
Conductors and the Electric Field
The Nature of Electromagnetic Waves
Huygens’ Principle and 2-Slit Interference
Single-Slit Diffraction
Thin Film Interference
Polarization
Geometric Optics, Reflection
Refraction, Dispersion, Internal Reflection
Thin Lenses: Ray Tracing
Thin Lenses: Lens Equation, Optical Power
The Electric Field Due to a Continuous Distribution of Charge on a Line
and a lot of other

this book legal to download and available at the article software site


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Saturday, June 9, 2007

Mathematical Methods of Engineering Analysis

this book content of
Sets and Functions
This introductory chapter is devoted to general notions regarding sets, functions, sequences, and series. The aim is to introduce and review the basic notation, terminology,conventions, and elementary facts
Metric Spaces Basic questions of analysis on the real line are tied to the notions of closeness and distances between points. The same issue of closeness comes up in more complicated settings, for instance, like when we try to approximate a function by a simpler function.Our aim is to introduce the idea of distance in general, so that we can talk of the distancebetween two functions with the same conceptual ease as when we talk of the distance between two points in the plane. After that, we discuss the main issues: convergence,continuity, approximations. All along, there will be examples of different spaces and different ways of measuring distances
Functions on Metric Spaces
Differential and Integral Equations
Convex Analysis
Measure and Integration


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Download Link Other Kind Book

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