Algebra and Trigonometry


Book Description

"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.







Calculus


Book Description

The acclaimed Calculus: Concepts and Applications is now available in a new edition, revised to reflect important changes in the Advanced Placement curriculum, and updated to incorporate feedback from instructors throughout the U.S.With over 40 years of experience teaching AP Calculus, Paul Foerster developed Calculus: Concepts and Applications with the high school student in mind, but with all the content of a college-level course. Like the previous edition, the second edition follows the AP Calculus curriculum for both AB and BC levels.In Calculus: Concepts and Applications, students start off with calculus! Review of precalculus occurs at various points when it's needed. The text combines graphing-calculator technology with a unique, real-world application approach, and presents calculus as a study of just four fundamental concepts: limits, derivatives, definite integrals, and indefinite integrals. Students learn these concepts using algebraic, numerical, graphical, and verbal approaches. As a result, students with a wider range of abilities can be successful in calculus, not just those who are strong in algebra. The accompanying set of Explorations in the Instructor's Resource Book, designed for cooperative group work, gives students hands-on experience with new topics before they are formally introduced.In this new edition, derivatives of transcendental functions, related rates, as well as area and volume applications of the definite integral are introduced earlier. Additionally, the Instructor's Resource Book includes projects utilizing the CBLâ„¢, The Geometer's Sketchpad ®, and Fathom Dynamic Statisticsâ„¢ software, giving students extended opportunities to explore and understand calculus in depth.




Integral, Measure and Derivative


Book Description

This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.




I Will Survive


Book Description

I Will Survive is the story of Gloria Gaynor, America's "Queen of Disco." It is the story of riches and fame, despair, and finally salvation. Her meteoric rise to stardom in the mid-1970s was nothing short of phenomenal, and hits poured forth that pushed her to the top of the charts, including "Honey Bee," "I Got You Under My Skin," "Never Can Say Goodbye," and the song that has immortalized her, "I Will Survive," which became a #1 international gold seller. With that song, Gloria heralded the international rise of disco that became synonymous with a way of life in the fast lane - the sweaty bodies at Studio 54, the lines of cocaine, the indescribable feeling that you could always be at the top of your game and never come down. But down she came after her early stardom, and problems followed in the wake, including the death of her mother, whose love had anchored the young singer, as well as constant battles with weight, drugs, and alcohol. While her fans always imagined her to be rich, her personal finances collapsed due to poor management; and while many envied her, she felt completely empty inside. In the early 1980s, sustained by her marriage to music publisher Linwood Simon, Gloria took three years off and reflected upon her life. She visited churches and revisited her mother's old Bible. Discovering the world of gospel, she made a commitment to Christ that sustains her to this day.




Ultimate Physics


Book Description

The fundamental outlines of the physical world, from its tiniest particles to massive galaxy clusters, have been apparent for decades. Does this mean physicists are about to tie it all up into a neat package? Not at all. Just when you think you’re figuring it out, the universe begins to look its strangest. This eBook, “Ultimate Physics: From Quarks to the Cosmos,” illustrates clearly how answers often lead to more questions and open up new paths to insight. We open with “The Higgs at Last,” which looks behind the scenes of one of the most anticipated discoveries in physics and examines how this “Higgs-like” particle both confirmed and confounded expectations. In “The Inner Life of Quarks,” author Don Lincoln discusses evidence that quarks and leptons may not be the smallest building blocks of matter. Section Two switches from the smallest to the largest of scales, and in “Origin of the Universe,” Michael Turner analyzes a number of speculative scenarios about how it all began. Another two articles examine the mystery of dark energy and some doubts as to whether it exists at all. In the last section, we look at one of the most compelling problems in physics: how to tie together the very small and the very large – quantum mechanics and general relativity. In one article, Stephen Hawking and Leonard Mlodinow argue that a so-called “theory of everything” may be out of reach, and in another, David Deutsch and Artur Ekert question the view that quantum mechanics imposes limits on knowledge, arguing instead that the theory has an intricacy that allows for new, practical technologies, including powerful computers that can reach their true potential.




Green's Functions and Linear Differential Equations


Book Description

Green's Functions and Linear Differential Equations: Theory, Applications, and Computation presents a variety of methods to solve linear ordinary differential equations (ODEs) and partial differential equations (PDEs). The text provides a sufficient theoretical basis to understand Green's function method, which is used to solve initial and boundary