Advanced Engineering Mathematics (9th Edition, 2006) - Kreyszig

Author:          Erwin Kreyszig 
Publisher:       Wiley International
Year:             2006
Format:          PDF
Size:              134 MB


Table Of Contents

PART A: ORDINARY DIFFERENTIAL EQUATIONS (ODE'S).

Chapter 1. First-Order ODE's.
Chapter 2. Second Order Linear ODE's.
Chapter 3. Higher Order Linear ODE's.
Chapter 4. Systems of ODE's Phase Plane, Qualitative Methods.
Chapter 5. Series Solutions of ODE's Special Functions.
Chapter 6. Laplace Transforms.

PART B: LINEAR ALGEBRA, VECTOR CALCULUS.
Chapter 7. Linear Algebra: Matrices, Vectors, Determinants: Linear Systems.
Chapter 8. Linear Algebra: Matrix Eigenvalue Problems.
Chapter 9. Vector Differential Calculus: Grad, Div, Curl.
Chapter 10. Vector Integral Calculus: Integral Theorems.

PART C: FOURIER ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS.
Chapter 11. Fourier Series, Integrals, and Transforms.
Chapter 12. Partial Differential Equations (PDE's).
Chapter 13. Complex Numbers and Functions.
Chapter 14. Complex Integration.
Chapter 15. Power Series, Taylor Series.
Chapter 16. Laurent Series: Residue Integration.
Chapter 17. Conformal Mapping.
Chapter 18. Complex Analysis and Potential Theory.

PART E: NUMERICAL ANALYSIS SOFTWARE.
Chapter 19. Numerics in General.
Chapter 20. Numerical Linear Algebra.
Chapter 21. Numerics for ODE's and PDE's.

PART F: OPTIMIZATION, GRAPHS.
Chapter 22. Unconstrained Optimization: Linear Programming.
Chapter 23. Graphs, Combinatorial Optimization.

PART G: PROBABILITY; STATISTICS.
Chapter 24. Data Analysis: Probability Theory.
Chapter 25. Mathematical Statistics.
Appendix 1: References.
Appendix 2: Answers to Odd-Numbered Problems.
Appendix 3: Auxiliary Material.
Appendix 4: Additional Proofs.
Appendix 5: Tables.
Index. 

Download          Ebook HERE
Download          Solution HERE

Elementary Linear Algebra, 9th Edition Howard Anton + Solution

Howard Anton  
ISBN: 978-0-471-66960-9
Hardcover
624 pages
September 2005


DESCRIPTION: 

This classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation.
Clear, accessible, step-by-step explanations make the material crystal clear.
The authors spotlight the relationships between concepts to give a unified and complete picture.
Established the intricate thread of relationships between systems of equations, matrices, determinants, vectors, linear transformations and eigenvalues.
 
TABLE OF CONTENTS

Chapter 1. Systems of Linear Equations and Matrices. 
Chapter 2. Determinants. 
Chapter 3. Vectors in 2-Space and 3-Space. 
Chapter 4. Euclidean Vector Spaces. 
Chapter 5. General Vector Spaces. 
Chapter 6. Inner Product Spaces. 
Chapter 7. Eigenvalues, Eigenvectors. 
Chapter 8. Linear Transformations. 
Chapter 9. Additional Topics. 
Chapter 10. Complex Vector Spaces. 
Answers to Exercises. 
Index.
 

A First Course in Differential Equations 5e Dennis g. Zill

A First Course in Differential Equations 5e 
ISBN-13: 9780534373887 
ISBN-10: 0534373887
Published by BrooksCole, ©2001
544pp

DESCRIPTION:

The CLASSIC EDITION of Zill's respected book was designed for instructors who prefer not to emphasize technology, modeling, and applications, but instead want to focus on fundamental theory and techniques. Zill's CLASSIC EDITION, a reissue of the fifth edition, offers his excellent writing style, a flexible organization, an accessible level of presentation, and a wide variety of examples and exercises, all of which make it easy to teach from and easy for readers to understand and use.
Features
Explanations that are extremely clear are supported by examples that are keyed to the exercises. Students can easily follow the logic of the theories presented.
Users praise the outstanding problem sets and solutions.
Occasional essays on topics related to Differential Equations provide further relevance for student''s study.

TABLE OF CONTENTS:

1. INTRODUCTION TO DIFFERENTIAL EQUATIONS
2. FIRST-ORDER DIFFERENTIAL EQUATIONS
3. APPLICATIONS OF FIRST-ORDER DIFFERENTIAL EQUATIONS
4. LINEAR DIFFERENTIAL EQUATIONS OF HIGHER-ORDER
5. APPLICATIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS: VIBRATIONAL 6. DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS
7. LAPLACE TRANSFORM
8. SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS
9. NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS 
APPENDIX I: GAMMA FUNCTION 
APPENDIX II: LAPLACE TRANSFORMS
APPENDIX III: REVIEW OF DETERMINANTS
APPENDIX IV: COMPLEX NUMBERS
ANSWERS TO ODD-NUMBERED PROBLEMS
 
DOWNLOAD BOOK HERE  (Comming Soon)
DOWNLOAD SOL    HERE 

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Probability & Statistics for Engineers & Scientists, 8/E + Solution

Raymond H. Myers, Virginia Polytechnic Institute   
Sharon L. Myers 
Keying Ye, Virginia Polytechnical Institute and State University 
ISBN-10: 0131877119
ISBN-13: 9780131877115
Publisher: Prentice Hall
Copyright: 2007
Published: 02/23/2006


Table of Contents :

1. Introduction to Statistics and Data Analysis
2. Probability
3. Random Variables and Probability Distributions
4. Mathematical Expectations
5. Some Discrete Probability Distributions
6. Some Continuous Probability Distributions
7. Functions of Random Variables (optional)
8. Fundamental Distributions and Data Description
9. One and Two Sample Estimation Problems
10. One and Two Sided Tests of Hypotheses
11. Simple Linear Regression
12. Multiple Linear Regression
13. One Factor Experiments: General
14. Factorial Experiments (Two or More Factors)
15. 2k Factorial Experiments and Fractions
16. Nonparametric Statistics  
17. Statistical Quality Control
18. Bayesian Statistics
 
                        DOWLOAD BOOK             HERE

DOWNLOAD  Solution      HERE 

Calculus Early Transcendentals 6e - James Stewart - Ebook Download

Author:       James Stewart 

ISBN-10:     049501169X 
ISBN-13:     978-0495011699 
Format:       E-Book PDF Format 
Publisher:    Thomson Learning 
Pub. Date:   2007 
Pages:          763

Discription:

The art of teaching, Mark Van Doren said, is the art of assisting discovery. I have tried to write a book that assists students in discovering calculus—both for its practical power and its surprising beauty. In this edition, as in the first five editions, I aim to convey to the student a sense of the utility of calculus and develop technical competence, but I also strive to give some appreciation for the intrinsic beauty of the subject. Newton undoubtedly experienced a sense of triumph when he made his great discoveries. I want students to share some of that excitement.
The emphasis is on understanding concepts. I think that nearly everybody agrees that this should be the primary goal of calculus instruction. In fact, the impetus for the current calculus reform movement came from the Tulane Conference in 1986, which formulated as their first recommendation:
                    Focus on conceptual understanding.

I have tried to implement this goal through the Rule of Three: “Topics should be presented geometrically, numerically, and algebraically.” Visualization, numerical and graphical experimentation, and other approaches have changed how we teach conceptual reasoning in fundamental ways. More recently, the Rule of Three has been expanded to become the Rule of Four by emphasizing the verbal, or descriptive, point of view as well. In writing the sixth edition my premise has been that it is possible to achieve conceptual understanding and still retain the best traditions of traditional calculus. The book contains elements of reform, but within the context of a traditional curriculum.

CONTENTS:

Chapter 1:   FUNCTIONS AND MODELS
Chapter 2:   LIMITS AND DERIVATIVES
Chapter 3:   DIFFERENTIATION RULES
Chapter 4:   APPLICATIONS OF DIFFERENTIATION
Chapter 5:   INTEGRALS
Chapter 6:   INTEGRALS
Chapter 7:   TECHNIQUES OF INTEGRATION
Chapter 8:   FURTHER APPLICATIONS OF INTEGRATION
Chapter 9:   DIFFERENTIAL EQUATIONS
Chapter 10: PARAMETRIC EQUATIONS AND POLAR COORDINATES
Chapter 11: INFINITE SEQUENCES AND SERIES
Chapter 12: VECTORS AND THE GEOMETRY OF SPACE
Chapter 13: VECTOR FUNCTIONS
Chapter 14: PARTIAL DERIVATIVES
Chapter 15: MULTIPLE INTEGRALS
Chapter 16: VECTOR CALCULUS

Download HERE

Useful Calculus Formulas!!!

For more complex functions using the definition of the derivative Integration would be an almost impossible  task. Luckily for us we won’t have to use the definition terribly often. We will have to use it on occasion, however we have a large collection of formulas and properties that we can use to simplify our life considerably and will allow us to avoid using the definition whenever possible. We will introduce most of these formulas over the course of the next several sections. We will start in this section with some of the basic properties and formulas. We will give the properties and formulas in this section in both “prime” notation and “fraction” notation.

Differentiation Formulas:                                 Download HERE

Integration Formulas:                                       Download HERE

Area & Circle Formulas:                                    Download HERE

Trignometric Formulas:                                    Download HERE

Calc3D for Windows - Download

File: Calc3D 

Version: 0.14

License: Freeware

Developer: Andreas Greuer

Web: http://www.calc3d.com

Discription:

Calc 3D is a program to calculate 3-dimensional vectors, matrices and complex numbers. 
It's able to do the standard calculations: 
Addition, Subtraction, Spatproduct, Skalarproduct, unit vector, Multiplication of two Vektoren or Matrices, Length of a vector, Crossprodukt (Vectorproduct),Angle between two vectors, Multiplikation of a number with a Vector or a Matrix

For objects like point, line, plane and sphere distances, intersections, volume, area of squeres, area of a triangle can be calculatet. Cartesian coordinates, spherical coordinates und cylindrical coordinates can be transformed into each other. 

Calc3D uses the formula parser from Holm Kirschgens. You can also write instead of numbers formulas.
for example: pi, Sin(pi/2), 4*5

Download HERE

Download Calc3D Pro 2.7  HERE

Casio FX-9860G SD Calculator - Emulator Download

Calculate in comfort using the FX-9860GSD graphic calculator and its Natural Display,eActivity, Spreadsheet

Features overview:

  * 64 kB RAM/1.5 MB flash ROM memory
  * Natural textbook display
  * Spreadsheet
  * eActivity
  * Extra-large, 8-line monochrome display
  * Over 1,000 technical-scientific functions
  * Easy to operate,function keys and user menu
  * Dynamic graphs
  * Graphs of inequations
  * Graphs of parametric functions
  * Graphs can be shown in a single coordinate system
  * Box and zoom function
  * Linking function from lists and list-based statistics
  * Various graphic functions
  * Value tables
  * Financial maths functions
  * Emulator included
  * Hard case

DOWNLOAD HERE

CHEMIX 3 - Integral Calculator Downoad

File: Chemix School 

Version: 3.0

Size: 1.3 MB

Developers: Arne Standnes

Web: www.standnes.no

Description:

CHEMIX School is an educational tool for learning chemistry. It is geared toward college-level chemistry, but is also appropriate for high-school students, chemists, and teachers. It is equipped with a periodic table containing history, 19 physical properties + number of stable isotopes, abundance, atomic mass, spin, resonance frequencies, relative receptivity, magnetic moment, quadropole moment and magnetogyric ratio for all stable isotopes. Also included are physical properties of more than 2500 unstable isotopes such as: atomic mass, half-life, decay modes, decay energy, particle energy, particle intensities,spin and magnetic moment including decay trees for 600 decays. It is also equipped with a molecular 3-D viewer, calculator, curve fit, function plot, data manipulation, derivatives, definite integrals for one and two funcions, ternary phase diagram plotter, binary phase diagram plotter, trend plots of physical/chemical properties of the elements, spline interpolation, conversion table (temperature, pressure, energy, power, lenght and mass), solubility chart for inorganic compunds used in inorganic analysis, dictionary, and advanced calculators for molecules (Mol, mass and mass%), thermochemistry , electrochemistry, weak acid/base/buffers, acid-base indicators table, solubility (Ksp) and common ion effect calculator, gas equations, spectroscopy assignment tool (NMR H[1] C[13], IR and MS) and stoichiometry (chemical equation balancer that also balances chemical equations containing free electrons). Ability to insert colors and angled text in graphics. 

More it has a powerful calculator which calculates lot of functions, find integrals and have a ability to recognize a expression.

Download HERE

Calculus 5TH Edition Schaums Outline - Ebook

Subtitle:                Calculus

ISBN:             9780071508612 

Author:           Ayres, Frank, Mendelson, Elliott 
Publisher:        McGraw-Hill 
Subject:          Calculus 
Copyright:       2009 
Series:            Schaum's Outline Series 
Publish Date:   August 2008 
Grade Level:    College/higher education: 
Language:       English 
Pages:            534
Format:           PDF
Size:               4.05 MB

Table of Contents
Schaum's Outline of Calculus, 5ed 

1. Linear Coordinate Systems. Absolute Value. Inequalities.
2. Rectangular Coordinate Systems
3. Lines
4. Circles
5. Equations and their Graphs
6. Functions
7. Limits
8. Continuity
9. The Derivative
10. Rules for Differentiating Functions
11. Implicit Differentiation
12. Tangent and Normal Lines
13. Law of the Mean. Increasing and Decreasing Functions
14. Maximum and Minimum Values
15. Curve Sketching. Concavity. Symmetry.
16. Review of Trigonometry
17. Differentiation of Trigonometric Functions
18. Inverse Trigonometric Functions
19. Rectilinear and Circular Motion
20. Related Rates
21. Differentials. Newton's Method
22. Antiderivatives
23. The Definite Integral. Area under a Curve
24. The Fundamental Theorem of Calculus
25. The Natural Logarithm
26. Exponential and Logarithmic Functions
27. L'Hopital's Rule
28. Exponential Growth and Decay
29. Applications of Integration I: Area and Arc Length
30. Applications of Integration II: Volume
31. Techniques of Integration I: Integration by Parts
32. Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions
33. Techniques of Integration III: Integration by Partial Fractions
34. Techniques of Integration IV: Miscellaneous Substitutions
35. Improper Integrals
36. Applications of Integration III: Area of a Surface of Revolution
37. Parametric Representation of Curves
38. Curvature
39. Plane Vectors
40. Curvilinear Motion
41. Polar Coordinates
42. Infinite Sequences
43. Infinite Series
44. Series with Positive Terms. The Integral Test. Comparison Tests
45. Alternating Series. Absolute and Conditional Convergence. The Ratio Test
46. Power Series
47. Taylor and Maclaurin Series. Taylor's Formulas with Remainder
48. Partial Derivatives
49. Total Differential. Differentiability. Chain Rules
50. Space Vectors
51. Surfaces and Curves in Space
52. Directional Derivatives. Maximum and Minimum Values.
53. Vector Differentiation and Integration
54. Double and Iterated Integrals
55. Centroids and Moments of Inertia of Plane Areas
56. Double Integration Applied to Volume under a Surface and the Area of a Curved Surface
57. Triple Integrals

58. Masses of Variable Density
59. Differential Equations of First and Second Order

Download In PDF Format HERE

Thomas Calculus 11e + Solution + Ebook Download

Author: George B. Thomas, Maurice D. Weir, Joel Hass, Frank R. Giordano

Paperback: 1380 pages

Publisher: Addison Wesley

ISBN-10: 0321185587

ISBN-13: 978-0321185587

File Format: PDF

File Size: 39.7 MB



 The new edition of Thomas is a return to what Thomas has always been: the book with the best exercises. For the 11th edition, the authors have added exercises cut in the 10th edition, as well as, going back to the classic 5th and 6th editions for additional exercises and examples. The book’s theme is that Calculus is about thinking; one cannot memorize it all. The exercises develop this theme as a pivot point between the lecture in class, and the understanding that comes with applying the ideas of Calculus. In addition, the table of contents has been refined to match the standard syllabus. Many of the examples have been trimmed of distractions and rewritten with a clear focus on the main ideas. The authors have also excised extraneous information in general and have made the technology much more transparent. The ambition of Thomas 11e is to teach the ideas of Calculus so that students will be able to apply them in new and novel ways, first in the exercises but ultimately in their careers. Every effort has been made to insure that all content in the new edition reinforces thinking and encourages deep understanding of the material.
Table of Contents


1. Preliminaries:
Real Numbers and the Real Line.
Lines, Circles, and Parabolas.
Functions and Their Graphs.
Identifying Functions; Mathematical Models.
Combining Functions; Shifting and Scaling Graphs.
Trigonometric Functions.
Graphing with Calculators and Computers.

2. Limits and Derivatives:
Rates of Change and Limits.
Calculating Limits Using the Limit Laws.
Precise Definition of a Limit.
One-Sided Limits and Limits at Infinity.
Infinite Limits and Vertical Asymptotes.
Continuity.
Tangents and Derivatives.

3. Differentiation:
The Derivative as a Function.
Differentiation Rules.
The Derivative as a Rate of Change.
Derivatives of Trigonometric Functions.
The Chain Rule and Parametric Equations.
Implicit Differentiation.
Related Rates.
Linearization and Differentials.

4. Applications of Derivatives:
Extreme Values of Functions.
The Mean Value Theorem.
Monotonic Functions and the First Derivative Test.
Concavity and Curve Sketching.
Applied Optimization Problems.
Indeterminate Forms and L'Hopital's Rule.
Newton's Method.
Antiderivatives.

5. Integration:
Estimating with Finite Sums.
Sigma Notation and Limits of Finite Sums.
The Definite Integral.
The Fundamental Theorem of Calculus.
Indefinite Integrals and the Substitution Rule.
Substitution and Area Between Curves.

6. Applications of Definite Integrals:
Volumes by Slicing and Rotation About an Axis.
Volumes by Cylindrical Shells.
Lengths of Plane Curves.
Moments and Centers of Mass.
Areas of Surfaces of Revolution and The Theorems of Pappus.
Work.
Fluid Pressures and Forces.

7. Transcendental Functions:
Inverse Functions and their Derivatives.
Natural Logarithms.
The Exponential Function.
ax and loga x.
Exponential Growth and Decay.
Relative Rates of Growth.
Inverse Trigonometric Functions.
Hyperbolic Functions.

8. Techniques of Integration:
Basic Integration Formulas.
Integration by Parts.
Integration of Rational Functions by Partial Fractions.
Trigonometric Integrals.
Trigonometric Substitutions.
Integral Tables and Computer Algebra Systems.
Numerical Integration.
Improper Integrals.

9. Further Applications of Integration:
Slope Fields and Separable Differential Equations.
First-Order Linear Differential Equations.
Euler's Method.
Graphical Solutions of Autonomous Equations.
Applications of First-Order Differential Equations.

10. Conic Sections and Polar Coordinates:
Conic Sections and Quadratic Equations .
Classifying Conic Sections by Eccentricity.
Quadratic Equations and Rotations.
Conics and Parametric Equations; The Cycloid.
Polar Coordinates .
Graphing in Polar Coordinates.
Area and Lengths in Polar Coordinates.
Conic Sections in Polar Coordinates.

11. Infinite Sequences and Series:
Sequences.
Infinite Series.
The Integral Test.
Comparison Tests.
The Ratio and Root Tests.
Alternating Series, Absolute and Conditional Convergence.
Power Series.
Taylor and Maclaurin Series.
Convergence of Taylor Series; Error Estimates.
Applications of Power Series.
Fourier Series.

12. Vectors and the Geometry of Space:
Three-Dimensional Coordinate Systems.
Vectors.
The Dot Product.
The Cross Product.
Lines and Planes in Space.
Cylinders and Quadric Surfaces .


13. Vector-Valued Functions and Motion in Space:
Vector Functions.
Modeling Projectile Motion.
Arc Length and the Unit Tangent Vector T.
Curvature and the Unit Normal Vector N.
Torsion and the Unit Binormal Vector B.
Planetary Motion and Satellites.

14. Partial Derivatives:
Functions of Several Variables.
Limits and Continuity in Higher Dimensions.
Partial Derivatives.
The Chain Rule.
Directional Derivatives and Gradient Vectors.
Tangent Planes and Differentials.
Extreme Values and Saddle Points.
Lagrange Multipliers.
*Partial Derivatives with Constrained Variables.
Taylor's Formula for Two Variables.

15. Multiple Integrals:
Double Integrals.
Areas, Moments and Centers of Mass*.
Double Integrals in Polar Form.
Triple Integrals in Rectangular Coordinates.
Masses and Moments in Three Dimensions.
Triple Integrals in Cylindrical and Spherical Coordinates.
Substitutions in Multiple Integrals.

16. Integration in Vector Fields:
Line Integrals.
Vector Fields, Work, Circulation, and Flux.
Path Independence, Potential Functions, and Conservative Fields.
Green's Theorem in the Plane.
Surface Area and Surface Integrals.
Parametrized Surfaces.
Stokes' Theorem.
The Divergence Theorem and a Unified Theory.

Appendices:
Mathematical Induction.
Proofs of Limit Theorems.
Commonly Occurring Limits .
Theory of the Real Numbers.
Complex Numbers.
The Distributive Law for Vector Cross Products.
Determinants and Cramer's Rule.
The Mixed Derivative Theorem and the Increment Theorem.
The Area of a Parallelogram's Projection on a Plane.

Download Thomas Calculus 11e                      HERE
Download Thomas Calculus 11e(Solution)     HERE

Pascal's Triangle - An Overview!

HISTORY:

Pascal's triangle is a geometric arrangement of the binomial coefficients in a triangle. Pascal's Triangle is named after Blaise Pascal in much of the western world, although other mathematicians studied it centuries before him in India, Persia, China, and Italy.but Blaise Pascal was the first person to discover the importance of all of the patterns it contained.

CONSSTRUCTION:

At the tip of Pascal's Triangle is the number 1, which makes up the zeroth row. The first row (1 & 1) contains two 1's, both formed by adding the two numbers above them to the left and the right, in this case 1 and 0 (all numbers outside the Triangle are 0's). Do the same to create the 2nd row: 0+1=1; 1+1=2; 1+0=1. And the third: 0+1=1; 1+2=3; 2+1=3; 1+0=1. In this way, the rows of the triangle go on infinitly. A number in the triangle can also be found by nCr (n Choose r) where n is the number of the row and r is the element in that row. For example, in row 3, 1 is the zeroth element, 3 is element number 1, the next three is the 2nd element, and the last 1 is the 3rd element. The formula for nCr is:

n!/r!(n-r)!

Now you can easily search for the right code for C++, from Google. Hope this would help u in assignments.