
Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations), are not easily understood, and require time to assimilate. Since they are fundamental to the study of linear algebra, students’ understanding of these concepts is vital to their mastery of the subject. David Lay introduces these concepts early in a familiar, concrete Rn setting, develops them gradually, and returns to them again and again throughout the text so that when discussed in the abstract, these concepts are more accessible.

This book is a response to those instructors who feel that calculus textbooks are too big. In writing the book James Stewart asked himself:What is essential for a threesemester calculus course for scientists and engineers? Stewart’s ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS offers a concise approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS is only 850 pagestwothirds the size of Stewart’s other calculus texts (CALCULUS, Fifth Edition and CALCULUS, EARLY TRANSCENDENTALS, Fifth Edition)yet it contains almost all of the same topics. The author achieved this relative brevity mainly by condensing the exposition and by putting some of the features on the website www.StewartCalculus.com. Despite the reduced size of the book, there is still a modern flavor: Conceptual understanding and technology are not neglected, though they are not as prominent as in Stewart’s other books. ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS has been written with the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart’s textbooks the bestselling calculus texts in the world.

From SAT scores to job search methods, statistics influences and shapes the world around us. Marty Triola's text continues to be the bestseller because it helps students understand the relationship between statistics and the world, bringing life to the theory and methods. Elementary Statistics raises the bar with every edition by incorporating an unprecedented amount of real and interesting data that will help instructors connect with students today, and help them connect statistics to their daily lives. The Twelfth Edition contains more than 1,800 exercises, 89% of which use real data and 85% of which are new. Hundreds of examples are included, 91% of which use real data and 84% of which are new. New coverage of Ethics in Statistics highlights new guidelines that have been established in industry.

Discrete Mathematics and Its Applications is intended for one or two term introductory Discrete Mathematics courses taken by students from a wide variety of majors, including Computer Science, Mathematics, and Engineering. This renowned bestselling text, which has been used at over 500 institutions around the world, gives a focused introduction to the primary themes in a Discrete Mathematics course and demonstrates the relevance and practicality of Discrete Mathematics to a wide variety of realworld applications―from Computer Science to Data Networking, to Psychology, to Chemistry, to Engineering, to Linguistics, to Biology, to Business, and many other important fields.McGrawHill Education's Connect, is also available as an optional, add on item. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need, when they need it, how they need it, so that class time is more effective. Connect allows the professor to assign homework, quizzes, and tests easily and automatically grades and records the scores of the student's work. Problems are randomized to prevent sharing of answers an may also have a "multistep solution" which helps move the students' learning along if they experience difficulty.

ELEMENTARY STATISTICS: A STEP BY STEP APPROACH is for general beginning statistics courses with a basic algebra prerequisite. The book is nontheoretical, explaining concepts intuitively and teaching problem solving through worked examples and stepbystep instructions. This edition places more emphasis on conceptual understanding and understanding results. This edition also features increased emphasis on Excel, MINITAB, and the TI83 Plus and TI 84Plus graphing calculators, computing technologies commonly used in such courses.

Includes index.

Includes index.

Includes bibliographical references and index.

From the PublisherNew Features Capstone exercise: The Capstone is a new type of exercise that appears in every section. The exercise synthesizes the main concepts of the section and presents them in one exercise. They often contain computational and noncomputational parts. These exercises are excellent to work through in class to present a topic for the first time or in class homework review. The Instructor's Resource Guide offers teaching tips on how one might use the Capstone Exercises in class. Larson Join In Clicker can be found on the Instructor Companion Website. Revised exercises based on actual usage. New exercises abound in the ninth edition of Calculus. Based on analyses of actual student usage data, the exercise sets have been overhauled to improve user understanding. Many exercises were added, some were revised, and some were removed. The results are exercise sets that effectively address user learning needs. Second Order Differential Equations: Added as a new chapter to the multivariable standalone portion of the book and available online, this new chapter delves into second order differential equations. This will greatly help engineering and math majors.Additional Features Graded Homework Exercises: Online homework and tests are evaluated using powerful Maple software to ensure mathematical accuracy. Instructors control point values, weighting grades, and whether or not an item is graded. An electronic gradebook helps instructors manage course information easily and can be exported to other files, such as Excel. CAS Investigation: Many examples throughout the book are accompanied by CAS Investigations. These are collaborative investigations using a computer algebra system (e.g., Maple) to further explore the related example. CAS Investigations are located online and in the Multimedia eBook.









Renowned for its clear prose and nononsense emphasis on core concepts, Statistics covers fundamentals using real examples to illustrate the techniques.
The Fourth Edition has been carefully revised and updated to reflect current data.

Discrete Mathematics and its Applications, Sixth Edition, is intended for one or twoterm introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering. This renowned bestselling text, which has been used at over 500 institutions around the world, gives a focused introduction to the primary themes in a discrete mathematics course and demonstrates the relevance and practicality of discrete mathematics to a wide a wide variety of realworld applications…from computer science to data networking, to psychology, to chemistry, to engineering, to linguistics, to biology, to business, and to many other important fields.



