Calculus and Analysis

Calculus and Analysis
Author :
Publisher : John Wiley & Sons
Total Pages : 695
Release :
ISBN-13 : 9780470617953
ISBN-10 : 0470617950
Rating : 4/5 (50 Downloads)

Book Synopsis Calculus and Analysis by : Horst R. Beyer

Download or read book Calculus and Analysis written by Horst R. Beyer and published by John Wiley & Sons. This book was released on 2010-04-26 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: A NEW APPROACH TO CALCULUS THAT BETTER ENABLES STUDENTS TO PROGRESS TO MORE ADVANCED COURSES AND APPLICATIONS Calculus and Analysis: A Combined Approach bridges the gap between mathematical thinking skills and advanced calculus topics by providing an introduction to the key theory for understanding and working with applications in engineering and the sciences. Through a modern approach that utilizes fully calculated problems, the book addresses the importance of calculus and analysis in the applied sciences, with a focus on differential equations. Differing from the common classical approach to the topic, this book presents a modern perspective on calculus that follows motivations from Otto Toeplitz's famous genetic model. The result is an introduction that leads to great simplifications and provides a focused treatment commonly found in the applied sciences, particularly differential equations. The author begins with a short introduction to elementary mathematical logic. Next, the book explores the concept of sets and maps, providing readers with a strong foundation for understanding and solving modern mathematical problems. Ensuring a complete presentation, topics are uniformly presented in chapters that consist of three parts: Introductory Motivations presents historical mathematical problems or problems arising from applications that led to the development of mathematical solutions Theory provides rigorous development of the essential parts of the machinery of analysis; proofs are intentionally detailed, but simplified as much as possible to aid reader comprehension Examples and Problems promotes problem-solving skills through application-based exercises that emphasize theoretical mechanics, general relativity, and quantum mechanics Calculus and Analysis: A Combined Approach is an excellent book for courses on calculus and mathematical analysis at the upper-undergraduate and graduate levels. It is also a valuable resource for engineers, physicists, mathematicians, and anyone working in the applied sciences who would like to master their understanding of basic tools in modern calculus and analysis.


Calculus and Analysis Related Books

Calculus and Analysis
Language: en
Pages: 695
Authors: Horst R. Beyer
Categories: Mathematics
Type: BOOK - Published: 2010-04-26 - Publisher: John Wiley & Sons

DOWNLOAD EBOOK

A NEW APPROACH TO CALCULUS THAT BETTER ENABLES STUDENTS TO PROGRESS TO MORE ADVANCED COURSES AND APPLICATIONS Calculus and Analysis: A Combined Approach bridges
Introduction to Calculus and Analysis II/1
Language: en
Pages: 585
Authors: Richard Courant
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recom
Introduction to Calculus and Analysis
Language: en
Pages: 688
Authors: Courant Institute of Mathematical Sciences Richard Courant
Categories:
Type: BOOK - Published: 1998-12-03 - Publisher:

DOWNLOAD EBOOK

From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject e
From Calculus to Analysis
Language: en
Pages: 345
Authors: Steen Pedersen
Categories: Mathematics
Type: BOOK - Published: 2015-03-21 - Publisher: Springer

DOWNLOAD EBOOK

This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addi
Elementary Analysis
Language: en
Pages: 192
Authors: Kenneth A. Ross
Categories: Mathematics
Type: BOOK - Published: 2014-01-15 - Publisher: CUP Archive

DOWNLOAD EBOOK