Cantitate/Preț
Produs

Introduction to Analysis: Textbooks in Mathematics

Autor Corey M. Dunn
en Limba Engleză Paperback – 21 ian 2023
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.
  • Citește tot Restrânge

    Din seria Textbooks in Mathematics

    Preț: 29726 lei

    Preț vechi: 34064 lei
    -13% Nou

    Puncte Express: 446

    Preț estimativ în valută:
    5690 5914$ 4713£

    Carte tipărită la comandă

    Livrare economică 04-18 februarie 25

    Preluare comenzi: 021 569.72.76

    Specificații

    ISBN-13: 9781032476773
    ISBN-10: 103247677X
    Pagini: 418
    Ilustrații: 46
    Dimensiuni: 156 x 234 mm
    Greutate: 0.37 kg
    Ediția:1
    Editura: CRC Press
    Colecția CRC Press
    Seria Textbooks in Mathematics


    Cuprins

    1. Sets, Functions, and Proofs; 2. The Real Numbers; 3. Sequences and their Limits; 4. Series of Real Numbes; 5. Limits and Continuity; 6. Differentiation; 7. Sequences and Series of Functions; A List of Commonly Used Symbols; Bibliography; Index

    Notă biografică

    Dr. Corey M. Dunn is a Professor of mathematics at California State University, San Bernardino. His interests include Differential Geometry, Geometric Analysis, Linear Algebra, and involving undergraduates in his research. He received his PhD from the University of Oregon in 2006.

    Descriere

    This text is designed for a one semester Introduction to Analysis course. One main difference is the chapter on set, functions and proofs. This book will be attractive when a Transition to Advanced Mathematics course is not offered. The first chapter covers an introduction to proofs. The text progresses into sequences and limits, continuity and