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).

A Pre-Calculus textbook that focuses on mathematical techniques that are common issues for students in Calculus. This text contains many examples, ranging from basic to more complex, with exercises at varying levels of difficulty. This can be used either as a standalone Pre-Calculus textbook or as supplementary material for students in Calculus. A free .pdf version of this text 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

First time author Ledesma sets his adventure tale in early America. Antonios' travels and adventures carry him across two continents, Europe and America in his quest for a new life. He leaves the safety and love of his family in Italy for uncertain life in a far off land. His dreams, anxieties and fears are borne out as he encounters and conquers the harsh strange and challenging world that surrounds him. Each tantalizing adventure brings our hero closer to maturity, self-esteem and the molding of his character. He experiences love; fear and death on his long journey and witnesses the history that shaped early America. 1n 1846 he becomes an early pioneer by joining a wagon train bound for California. During the trip he experiences encounters with Indians, death, accidents and newly establishes a long lasting friendship. He wanders around California finding romance and land. He eventually starts a grape vineyard and establishes himself as a rancher, husband and father. His life in early California is entwined with such history making events as the Gold Rush, statehood, the Pony Express, building of the Transcontinental Railroad and many more historical events. Reading this heart warming young mans story will enrich the readers to understand the personal triumphs, hardships and the west's rich history

Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.

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.