0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis

Buy Now

Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable (Paperback) Loot Price: R1,669
Discovery Miles 16 690
Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable (Paperback): Niels Jacob,...

Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable (Paperback)

Niels Jacob, Kristian P. Evans

 (sign in to rate)
Loot Price R1,669 Discovery Miles 16 690 | Repayment Terms: R156 pm x 12*

Bookmark and Share

Expected to ship within 12 - 17 working days

Part 1 begins with an overview of properties of the real numbers and starts to introduce the notions of set theory. The absolute value and in particular inequalities are considered in great detail before functions and their basic properties are handled. From this the authors move to differential and integral calculus. Many examples are discussed. Proofs not depending on a deeper understanding of the completeness of the real numbers are provided. As a typical calculus module, this part is thought as an interface from school to university analysis.Part 2 returns to the structure of the real numbers, most of all to the problem of their completeness which is discussed in great depth. Once the completeness of the real line is settled the authors revisit the main results of Part 1 and provide complete proofs. Moreover they develop differential and integral calculus on a rigorous basis much further by discussing uniform convergence and the interchanging of limits, infinite series (including Taylor series) and infinite products, improper integrals and the gamma function. In addition they discussed in more detail as usual monotone and convex functions.Finally, the authors supply a number of Appendices, among them Appendices on basic mathematical logic, more on set theory, the Peano axioms and mathematical induction, and on further discussions of the completeness of the real numbers. Remarkably, Volume I contains ca. 360 problems with complete, detailed solutions.

General

Imprint: World Scientific Publishing Co Pte Ltd
Country of origin: Singapore
Release date: October 2015
First published: 2016
Authors: Niels Jacob • Kristian P. Evans
Dimensions: 171 x 249 x 42mm (L x W x T)
Format: Paperback
Pages: 768
ISBN-13: 978-981-4689-09-0
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis
LSN: 981-4689-09-2
Barcode: 9789814689090

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

Partners