APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).

APEX Calculus 0.3 provides a solid foundation of limits, derivatives, and basic antidifferentiation found in many standard Calculus I courses. The text employs numerous examples to demonstrate and explain new concepts and features exercise sets that both model the examples and test the student's understanding. This text is currently in use at the Virginia Military Institute.

A Calculus text covering parametric equations, polar coordinates, vector valued functions, multivariable functions and vector analysis. This book contains numerous examples and illustrations to help make concepts clear. This is the third text of a series. Calculus 1 covers limits, derivatives and the basics of integration. Calculus 2 begins with the basic concepts of integration, then covers techniques and applications of integration, followed by sequences and series. A free .pdf version of all three can be obtained at apexcalculus.com.

Everything you need to score higher on the AP Calculus AB exam -- Guaranteed. Kaplan's comprehensive guide includes: 2 full-length practice tests Detailed answer explanations Hundreds of practice questions The most up-to-date information on the test Focused review of all tested material, from limits of functions to differential equations Explanations of important terms, concepts, and formulas Powerful strategies to help you score higher

A Calculus text covering parametric equations, polar coordinates, vector valued functions, and multivariable functions. This is the abridged version of APEX Calculus 3, omitting Chapter 14, Vector Analysis. This book contains numerous examples and illustrations to help make concepts clear. This is the third text of a series. Calculus 1 covers limits, derivatives and the basics of integration. Calculus 2 begins with the basic concepts of integration, then covers techniques and applications of integration, followed by sequences and series. A free .pdf version of all three can be obtained at apexcalculus.com.

This book offers a rigorous and self-contained presentation of stochastic integration and stochastic calculus within the general framework of continuous semimartingales. The main tools of stochastic calculus, including Itô’s formula, the optional stopping theorem and Girsanov’s theorem, are treated in detail alongside many illustrative examples. The book also contains an introduction to Markov processes, with applications to solutions of stochastic differential equations and to connections between Brownian motion and partial differential equations. The theory of local times of semimartingales is discussed in the last chapter. Since its invention by Itô, stochastic calculus has proven to be one of the most important techniques of modern probability theory, and has been used in the most recent theoretical advances as well as in applications to other fields such as mathematical finance. Brownian Motion, Martingales, and Stochastic Calculus provides a strong theoretical background to the reader interested in such developments. Beginning graduate or advanced undergraduate students will benefit from this detailed approach to an essential area of probability theory. The emphasis is on concise and efficient presentation, without any concession to mathematical rigor. The material has been taught by the author for several years in graduate courses at two of the most prestigious French universities. The fact that proofs are given with full details makes the book particularly suitable for self-study. The numerous exercises help the reader to get acquainted with the tools of stochastic calculus.

Gilbert Strang's clear, direct style and detailed, intensive explanations make this textbook ideal as both a course companion and for self-study. Single variable and multivariable calculus are covered in depth. Key examples of the application of calculus to areas such as physics, engineering and economics are included in order to enhance students' understanding. New to the third edition is a chapter on the 'Highlights of calculus', which accompanies the popular video lectures by the author on MIT's OpenCourseWare. These can be accessed from math.mit.edu/~gs.