Welcome to Math eBooks

If you want top grades and excellent understanding of mathematics, you should have these ebooks! We aim at presenting the broadest range of solved problems that you are likely to encounter. All of the ebooks are PDF files free of password protection and security features. You will be able to download them immediately after ordering. Click the icon on the left to download and install the latest free Acrobat Reader from the Adobe website.

  Calculus eBooks

Package #1. Eight Calculus eBooks

Techniques of Differentiation

Limits and Continuity

Techniques of Integration

Infinite Sequences and Series

Double Integrals

Line Integrals

Surface Integrals

Fourier Series

Bonus eBook: 1300 Math Formulas

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Calculus. Techniques of Differentiation
File Size: 1.9M
ISBN: 9985789822

Preview

This ebook is intended primarily for students learning calculus and focuses entirely on differentiation of functions of one variable. The sections are written as self-guided tutorials. Each chapter begins with appropriate definitions and formulas followed by numerous solved problems listed in order of increasing difficulty. You get 200 fully solved problems to demonstrate problem-solving techniques in chapters on:

• Definition of the Derivative
  
• Basic Differentiation Rules
  
• Derivatives of Power Functions
  
• The Product and Quotient Rules
  
• The Chain Rule
  
• Derivatives of Trigonometric Functions
  
• Derivatives of Inverse Trigonometric Functions
  
• Derivatives of Hyperbolic Functions
  
• Derivatives of Inverse Hyperbolic Functions
  
• Derivatives of Exponential and Logarithmic Functions
  
• Logarithmic Differentiation
  
• Implicit Differentiation
  
• Higher-Order Derivatives

By clicking the Preview button you can view a sample chapter of the ebook.

Calculus. Limits and Continuity
File Size: 2.2M
ISBN: 9789949156573

Preview

This ebook serves as a solved problem guide for calculus students and instructors. It contains 200 fully solved problems on Limits and Continuity of Functions of One Variable. The sections are written as self-guided tutorials. Each chapter begins with appropriate definitions and formulas followed by numerous solved problems listed in order of increasing difficulty. You get 200 fully solved problems to demonstrate problem-solving techniques in chapters on:

• Definition of Limit of a Function
  
• Properties of Limits
  
• Trigonometric Limits
  
• The Number e
  
• Natural Logarithms
  
• Indeterminate Forms
  
• Use of Infinitesimals
  
• L'Hopital's Rule
  
• Continuity of Functions
  

By clicking the Preview button you can view a sample chapter of the ebook.

Calculus. Techniques of Integration
File Size: 6.5M
ISBN: 9985786319

Preview

This book gives a straightforward introduction to techniques of integration, which is one of the most difficult areas of calculus. You get 300 fully solved problems to demonstrate problem-solving techniques in chapters on:

• The Indefinite Integral and Basic Formulas of Integration
  
• Method of Substitution
  
• Integration by Parts
  
• Integration of Rational Functions
  
• Integration of Irrational Functions
  
• Integration of Rational Expressions of Trigonometric Functions
  
• Integrals of Powers and Products of Sine and Cosine
  
• Integrals Involving Powers of Other Trigonometric Functions
  
• Integration of Hyperbolic Functions
  
• Using Trigonometric and Hyperbolic Substitutions
  
• The Definite Integral and Fundamental Theorem of Calculus
  
• Improper Integral

Each chapter opens with appropriate definitions and formulas followed by a lot of problems explained step-by-step. By clicking the Preview button you can view a sample chapter of the ebook.

Calculus. Infinite Sequences and Series
File Size: 1.6M
ISBN: 9949100321

Preview

This ebook is intended for all students who study calculus, and considers 150 typical problems on infinite sequences and series, solved step-by-step. Topics include:

• Infinite Sequences
  
• Geometric Series
  
• Infinite Series
  
• The Comparison Tests
  
• The Integral Test
  
• The Ratio Test and Root Test
  
• Alternating Series: Absolute and Conditional Convergence
  
• Power Series
  
• Differentiation and Integration of Power Series
  
• Taylor and Maclaurin Series
  

By clicking the Preview button you can view a sample chapter of the ebook.

Calculus. Double Integrals
File Size: 2.5M
ISBN: 9949102502

Preview

This ebook is intended for all students who study multiple variable calculus, and considers 50 typical problems with use of double integrals, solved step-by-step. Topics include:

• Definition and Properties of Double Integrals
  
• Iterated Integrals
  
• Double Integrals over Rectangular Regions
  
• Double Integrals over General Regions
  
• Change of Variables
  
• Integration in Polar Coordinates
  
• Applications of Double Integrals
  

By clicking the Preview button you can view a sample chapter of the ebook.

Calculus. Line Integrals
File Size: 2.5M
ISBN: 9985103541

Preview

This study guide is the most complete resource on line integrals. It contains 70 different problems solved step-by-step. The ebook is well suited for preparation before an exam. Topics include:

• Line Integrals of Scalar Functions
  
• Line Integrals of Vector Fields
  
• Green's Theorem
  
• Path Independence of Line Integrals
  
• Applications of Line Integrals
  

By clicking the Preview button you can view a sample chapter of the ebook.

Calculus. Surface Integrals
File Size: 2.8M
ISBN: 9949104165

Preview

This study guide is intended for calculus students and lecturers and gives a complete overview of surface integrals and their applications. It contains 50 problems with full solutions. The ebook is well suited for preparation before an exam. Topics include:

• Surface Integrals of Scalar Functions
  
• Surface Integrals of Vector Fields
  
• The Divergence Theorem
  
• Stoke's Theorem
  
• Applications of Surface Integrals
  

By clicking the Preview button you can view a sample chapter of the ebook.

Calculus. Fourier Series
File Size: 1.1M
ISBN: 9949130654

Preview

This ebook contains a selection of 60 problems on Fourier series with full solutions. For students this ebook is a valuable complement to textbooks, for lecturers teaching calculus, a helpful reference. Topics include:

• Definition of Fourier Series and Typical Examples
  
• Fourier Series of Functions with an Arbitrary Period
  
• Even and Odd Extensions
  
• Complex Form of Fourier Series
  
• Convergence of Fourier Series
  
• Bessel's Inequality and Parseval's Theorem
  
• Differentiation and Integration of Fourier Series
  
• Applications of Fourier Series to Differential Equations
  
• Orthogonal Polynomials and Generalized Fourier Series
  

By clicking the Preview button you can view a sample chapter of the ebook.

SPECIAL BONUS!

1300 Math Formulas
File Size: 7.1M
ISBN: 9949107741

Preview

This handbook is a complete desktop reference for students and engineers. It has everything from high school math to math for advanced undergraduates in engineering, economics, physical sciences, and mathematics. The ebook contains hundreds of formulas, tables, graphs, and figures. The structured table of contents, links, and layout make finding the relevant information quick and painless, so the ebook can be used as an everyday online reference guide. Topics include:

• Number Sets
  
• Algebra
  
• Geometry
  
• Trigonometry
  
• Matrices and Determinants
  
• Vectors
  
• Analytic Geometry
  
• Differential Calculus
  
• Integral Calculus
  
• Differential Equations
  
• Series
  
• Probability
  

By clicking the Preview button you can view sample pages of the ebook.

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