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This section contains free e-books and guides on Calculus, some of the resources in this section can be viewed online and some of them can be downloaded.
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Introductory Calculus NotesAmbar N. SenguptaPDF | 330 Pages | EnglishThe approach followed is quite
different from that of standard calculus texts. We use natural, but occasionally
unusual, definitions for basic concepts such as limits and tangents. Topics
covered includes: Sets: Language and Notation, The Extended Real Line, Suprema,
Infima, Completeness, Neighborhoods, Open Sets and Closed Sets, Trigonometric
Functions, Continuity, The Intermediate Value Theorem, Inverse Functions,
Tangents, Slopes and Derivatives, Derivatives of Trigonometric Functions, Using
Derivatives for Extrema, Convexity, Integration Techniques.
| Calculus Lecture NotesStefan Balint, Eva Kaslik, Simona Epure, Simina Maris and Aurelia TomoioagaPDF | 167 Pages | EnglishThis note
covers the following topics: Functions, Logic symbols, Converse theorem and
contrary theorem, Single variable calculus, Limit points of a sequence, Equal
continuous and equal bounded sequence of functions, Taylor polynomials,
Functions of several variables, Differentiation, Integrable functions of n
variables, Elementary curves and elementary closed curves, Properties of surface
integrals and Differentiation of an integral containing a parameter.
| Advanced Calculus by Evelyn SilviaEvelyn SilviaOnline | NA Pages | EnglishThis book covers
the following topics: Field of Reals and Beyond,
From Finite to Uncountable Sets, Metric Spaces and Some Basic Topology,
Sequences and Series, Functions on Metric Spaces and Continuity, Riemann
Stieltjes Integration.
| Course Material for Introductory CalculusUniversity
of OxfordOnline | NA Pages | EnglishThis lecture note covers the following topics: General linear
homogeneous ODEs, Systems of linear coupled first order ODEs,Calculation of
determinants, eigenvalues and eigenvectors and their use in the solution of
linear coupled first order ODEs, Parabolic, Spherical and Cylindrical polar
coordinate systems, Introduction to partial derivatives, Chain rule, change of
variable, Jacobians with examples including polar coordinate systems, surfaces and Sketching simple quadrics.
| Calculus Lecture NotesSigurd AngenentPDF | 134 Pages | EnglishThis lecture note explains
Differential and Integral calculus of functions of one variable, including
trigonometric functions.
| Calculus Lecture Notes ISigurd AngenentPDF | 153 Pages | EnglishThis lecture note explains the
following topics: Methods of integration, Taylor polynomials, complex numbers and the complex exponential, differential equations, vector geometry and
parametrized curves.
| Calculus in ContextJames Callahan, David Cox, Kenneth Hoffman, Donal
O'Shea, Harriet Pollatsek, Lester SenechalOnline | NA Pages | EnglishCalculus in Context is the product of
the Five College Calculus Project. Besides the introductory calculus text, the
product includes computer software and a Handbook for Instructors.
| Lecture Notes in Calculus (PDF 206P)Raz
KupfermanPDF | 206 Pages | EnglishThis is useful notes for Calculus. This notes contain Real numbers,
Functions, Derivatives, Integration theory and Sequences
| Lecture Notes on the Lambda Calculus (PDF 106P)Peter
SelingerPDF | 106 Pages | EnglishThis notes contains the details about The untyped lambda calculus, The
Church-Rosser Theorem, Combinatory algebras, The Curry-Howard isomorphism,
Polymorphism, Weak and strong normalization, Denotational semantics of PCF
| Calculus Compact Lecture Notes (PDF 135P)ACC
CoolenPDF | 135 Pages | EnglishThis notes contain Complex numbers, Proof by induction, Trigonometric and
hyperbolic functions, Functions, limits, differentiation, Integration, Taylor’s
theorem and series
| Calculus Course NotesCaltechOnline | NA Pages | EnglishThis notes contains the following subcategories
Calculus, Introduction to Number Theory and Vector Calculus
| Introduction to calculusJ.H.
HeinbockelPDF | 566 Pages | EnglishThis book emphasizes the fundamental concepts from calculus and
analytic geometry and the application of these concepts to selected areas of
science and engineering. Topics covered includes: Sets,
Functions, Graphs and Limits, Differential Calculus, Integral Calculus,
Sequences, Summations and Products and Applications of Calculus.
| Calculus Made EasySilvanus
P. ThompsonPDF | 292 Pages | EnglishCalculus Made Easy has long been the most popular calculus
primer, and this major revision of the classic math text makes the subject
at hand still more comprehensible to readers of all levels. This is a book
that explains the philosophy of the subject in a very simple manner, making
it easy to understand even for people who are not proficient in math.
| Calculus textbookProf.
Gilbert StrangOnline | NA Pages | EnglishThis book is a useful resource for educators and
self-learners alike. It is well organized, covers single variable and
multivariable calculus in depth, and is rich with applications.
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