Description An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation -- this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion.
This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept. ISBN Your tags:. Send-to-Kindle or Email Please login to your account first Need help?
Please read our short guide how to send a book to Kindle. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. Pat Dorsey. Tom M. Since Free ebooks since ZLibrary app.
Please read our short guide how to send a book to Kindle The file will be sent to your email address. You may be interested in Powered by Rec2Me Most frequently terms equation theorem linear function matrix example prove vector integral formula probability functions exercises solution sin interval cos differential equations proof defined therefore continuous product dimensional constant polynomial plane integrals random obtain scalar elements value denote independent det assume compute distribution basis determine matrices zero curve section terms transformation derivative eigenvalues derivatives equal values finite partial variable exercise definition define polynomials Related Booklists 0 comments Post a Review To post a review, please sign in or sign up You can write a book review and share your experiences.
Student Projects in each chapter give students opportunities to explore interesting sidelights in pure and applied mathematics, from showing that the number e is irrational, to calculating the center of mass of the Grand Canyon Skywalk or the terminal speed of a skydiver. Chapter Opening Applications pose problems that are solved later in the chapter, using the ideas covered in that chapter.
Problems include the hydraulic force against the Hoover Dam, and the comparison of the relative intensity of two earthquakes. Definitions, Rules, and Theorems are highlighted throughout the text, including over 60 Proofs of theorems.
Many exercises are marked with a [T] to indicate they are suitable for solution by technology, including calculators or Computer Algebra Systems CAS. Answers for selected exercises are available in the Answer Key at the back of the book. Exponential and logarithmic functions are presented in Chapter 2.
Integration of these functions is covered in Chapters 1 for instructors who want to include them with other types of functions. These discussions, however, are in separate sections that can be skipped for instructors who prefer to wait until the integral definitions are given before teaching the calculus derivations of exponentials and logarithms.
Do you like this book? Please share with your friends, let's read it!! Search Ebook here:. Book Preface This textbook was written to increase student access to high-quality learning materials, maintaining highest standards of academic rigor at little to no cost.
Designed by readallbooks. Download here Download Now here.
0コメント