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 Advanced Calculus Third Edition
R. Creighton Buck
Demonstrating analytical and numerical techniques for attacking problems in the application of mathematics, this well-organized, clearly written text presents the logical relationship and fundamental notations of analysis. Buck discusses analysis not solely as a tool, but as a subject in its own right. This skill-building volume familiarizes students with the language, concepts, and standard theorems of analysis, preparing them to read the mathematical literature on their own. The text revisits certain portions of elementary calculus and gives a systematic, modern approach to the differential and integral calculus of functions and transformations in several variables, including an introduction to the theory of differential forms. The material is structured to benefit those students whose interests lean toward either research in mathematics or its applications.
 $83.95 list, 622 pages 10-digit ISBN: 1-57766-302-0 13-digit ISBN: 978-1-57766-302-7 © 1978 Solutions Manual available “A classic.” — Li Guo, Rutgers University “Like the earlier editions, the book is well written and nicely organized. Students find it to be readable, which is not the case with many mathematics texts.” — Thomas J. Smith, Manhattan College “First and foremost, I commend you for providing a classic book at a reasonable student price!” — Paul Loya, Binghamton University “A very high-quality text. Excellent explanations, good examples, and the problem sets are at the correct level of challenge. I’ve used earlier editions several times for a full-year course, much to the beneficial development of the students.” — Daniel D. Bonar, Denison University “The excellent examples help students get to the heart of mathematical concepts for better understanding of real analysis.” — Rahim G. Karimpour, Southern Illinois University “Buck’s book is a classic and is appropriate for our advanced calculus course. It is an excellent treatment!” — J. David Logan, University of Nebraska “A classic introduction to a difficult subject. The new edition reads better than the previous editions’ already-good presentations.” — Javier Trigos, California State University, Bakersfield Table of Contents
1. Sets and Functions 2. Continuity 3. Differentiation 4. Integration 5. Series 6. Uniform Convergence 7. Differentiation of Transformations 8. Applications to Geometry and Analysis 9. Differential Geometry and Vector Calculus 10. Numerical Methods Appendix 1. Logic and Set Theory Appendix 2. Foundations of the Real Number System Appendix 3. Linear Algebra Appendix 4. Applications of Mathematics Appendix 5. Introduction to Complex Analysis Appendix 6. Further Topics in Real Analysis |
