Introduction to Analysis
- ISBN-10
- 149873202X
- ISBN-13
- 9781498732024
- Series
- Introduction to Analysis
- Category
- Mathematics
- Pages
- 398
- Language
- English
- Published
- 2017-06-26
- Publisher
- CRC Press
- Author
- Corey M. Dunn
Description
Introduction to Analysis is an ideal text for a one semester course on analysis. The book covers standard material on the real numbers, sequences, continuity, differentiation, and series, and includes an introduction to proof. The author has endeavored to write this book entirely from the student’s perspective: there is enough rigor to challenge even the best students in the class, but also enough explanation and detail to meet the needs of a struggling student. From the Author to the student: "I vividly recall sitting in an Analysis class and asking myself, ‘What is all of this for?’ or ‘I don’t have any idea what’s going on.’ This book is designed to help the student who finds themselves asking the same sorts of questions, but will also challenge the brightest students." Chapter 1 is a basic introduction to logic and proofs. Informal summaries of the idea of proof provided before each result, and before a solution to a practice problem. Every chapter begins with a short summary, followed by a brief abstract of each section. Each section ends with a concise and referenced summary of the material which is designed to give the student a "big picture" idea of each section. There is a brief and non-technical summary of the goals of a proof or solution for each of the results and practice problems in this book, which are clearly marked as "Idea of proof," or as "Methodology", followed by a clearly marked formal proof or solution. Many references to previous definitions and results. A "Troubleshooting Guide" appears at the end of each chapter that answers common questions.
Get the book
Other editions
-
- 2013-10-03
- 656 pages
- Paperback
- Pearson Higher Ed
Similar books
-
Integral Geometry and Tomography: Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, Held June 24-30, 1989, with Support from the...
By Eric Grinberg, Eric Todd QuintoIn Section 2 we will deal with the “discrete” case. Let S be a locally finite tree T endowed with the natural integer-valued distance function: the ...
-
Ordinary Differential Equations and Linear Algebra: A Systems Approach
By Todd Kapitula... for in this case [yp](s)=s[yp](s), [yp](s)=s2[yp](s). As we will see in the examples, this assumption also makes it possible to deal with the initial ...
-
Cognition and Intractability: A Guide to Classical and Parameterized Complexity Analysis
By Iris van Rooij, Mark Blokpoel, Johan Kwisthoutx,y∈S δ(x,y) is maximum. u(x) + ADDITIVE SUBSET CHOICE Input: A set X = {x1 ,x2 ... F Tractability cycle Test 8.2 How (Not) to Deal with Intractability 173.
-
Mymathlab -- Standalone Access Card
By Pearson Education, David P Pearson Education, Hall H Pearson EducationSeveral versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable.
-
Mymathlab Student Acc Kit + Intro Alg Wrkshts
By Inc. Pearson EducationMymathlab Student Acc Kit + Intro Alg Wrkshts
-
Pearson Mathematics 7: H.P
By Pearson Education Australia StaffPearson Mathematics homework program for Year 7 provides tear-out sheets which correspond with student book sections, providing systematic and cumulative skills revision of basic skills and current class topics in the form of take-home ...
-
Worksheets for Classroom Or Lab Practice for Intermediate Algebra: Graphs & Models
By Addison-WesleyWorksheets for Classroom Or Lab Practice for Intermediate Algebra: Graphs & Models
-
Pearson Mathematics New South Wales 8 Student Book: Australian Curriculum
By Pearson Education Australia Staff, Gael McLeod, David CoffeyThe Student Book provides an easy-to-use 'nuts and bolts' book at each year level.
-
Matrix Iterative Analysis
By Richard S. Varga... partial differential equations have received a great deal of attention. For excellent bibliographical coverage, see Todd (1956), Richtmyer (1957), ...
-
Mathematical Modelling: Education, Engineering and Economics - ICTMA 12
By C Haines, P Galbraith, W BlumTodd, P. A., McKeen, .l. ... ANALYTICAL SUPPORT PROBLEM SOLVING Cognitive Perspectives on Modelling HOW DO STUDENTS AND TEACHERS DEAL Sodhi and Son 219 NOTE ...