

This section contains free ebooks and guides on Differential Calculus, some of the resources in this section can be viewed online and some of them can be downloaded.




Differentiation by MathtutorMathtutorOnline  NA Pages  EnglishThis note explains the following topics:
Differentiation from first principles, Differentiating powers of x,
Differentiating sines and cosines, Differentiating logs and exponentials, Using
a table of derivatives, The quotient rule, The product rule, The chain rule,
Parametric differentiation, Differentiation by taking logarithms, Implicit
differentiation, Extending the table of derivatives, Tangents and normals,
Maxima and minima.
 A Collection of Problems in Differential CalculusVeselin Jungic,
Petra Menz, and Randall PykePDF  159 Pages  EnglishThis note covers the following topics: Limits and
Continuity, Differentiation Rules, Applications of Differentiation, Curve
Sketching, Mean Value Theorem, Antiderivatives and Differential Equations,
Parametric Equations and Polar Coordinates, True Or False and Multiple Choice
Problems.
 Kepler's laws with introduction to differential calculusMakar PlakhotnykOnline  NA Pages  EnglishThis
book explain the solution of the following two problems: obtaining of Kepler's
laws from Newton's laws and obtaining the fourth Newton's law as a corollary of
Kepler's laws. This small book is devoted to the scholars, who are interested in
physics and mathematics.
 A text book of differential calculus with numerous worked out examplesGanesh
PrasadOnline  186 Pages  EnglishThis book is intended for beginners. Topics covered includes: Fundamental
Rules for Differentiation, Tangents and Normals, Asymptotes, Curvature,
Envelopes, Curve Tracing, Properties of Special Curves, Successive
Differentiation, Rolle's Theorem and Taylor's Theorem, Maxima and Minima,
Indeterminate Forms.
 Differential Calculus Simplified to the BoneLarissa FradkinPDF  73 Pages  EnglishThis book emphasis on
systematic presentation and explanation of basic abstract concepts of
differential Calculus. Topics covered includes: Limits, Continuity and
Differentiation of Real Functions of One Real Variable, Differentiation and
Sketching Graphs Using Analysis.
 Differential calculus for beginnersJoseph EdwardsOnline  293 Pages  EnglishThe present small volume is
intended to form a sound introduction to a study of the Differential Calculus
suitable for the beginner.
 Elements of the differential and integral calculusWilliam Anthony
Granville, Percey F Smith and William Raymond LongleyOnline  489 Pages  EnglishThis is an amazing book
related to differential and integral calculus.It provides crystal clear
explanations, is very consistent and goes gently deeply into each topic.
 Differential And Integral Calculus Lecture Notes (PDF 143P)  Introduction to Differential Calculus (PDF 44P)Christopher ThomasPDF  44 Pages  EnglishThis
lecture note explains the following topics: What is the derivative, How do we
find derivatives, What is differential calculus used for, differentiation from
first principles.
 Notes on Partial Differential EquationsJohn
K. HunterPDF  242 Pages  EnglishThis book covers the following topics: Laplace’s equation, Sobolev spaces, Elliptic PDEs, The Heat and
Schrodinger Equations, Parabolic Equations, Hyperbolic Equations and Friedrich
symmetric systems.
 Introduction to Partial Differential EquationsRalph E. ShowalterOnline  NA Pages  EnglishThis
book covers the following topics: Ordinary Differential Equations, First Order PDE, Second Order PDE,
Characteristics and Canonical Forms, Characteristics and Discontinuities, PDE in
Ndimensions The Potential Equation, Harmonic Functions, Green's Function,
Consequences of Poisson's Formula The Diffusion Equation, The Wave Equation.
 Partial Differential Equations Some LecturesBruce
DriverOnline  NA Pages  EnglishThis book covers the following topics: Basic Topological, Metric and
Banach Space Notions, The Riemann Integral and Ordinary Differential Equations,
Lebesbgue Integration Theory, Fubini’s Theorem, Approximation Theorems and
Convolutions, Hilbert Spaces and Spectral Theory of Compact Operators, Synthesis
of Integral and Differential Calculus, Miracle Properties of Banach Spaces.









