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

- Volume I: Introductory Calculus, Analysis of Functions of One Real Variable (Volume 1: Introductory Calculus, Analysis of Functions of One Real Variable)

af


Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable
Du sparer Spar kr. 60,00 med Shopping-fordele
  • Leveringstid 2-3 uger (Sendes fra fjernlager)
  • Forventet levering 02-07-2021
For at købe bogen til fordelspris skal du have et medlemskab med Shopping-fordele. Du kan prøve medlemskabet gratis de første 30 dage. Medlemskabet fornyes automatisk og kan altid opsiges. Læs mere om medlemskaber og Shopping-fordele her.
Format:
Bog, hardback
Udgivelsesdato:
06-10-2015
Sprog:
Engelsk
Sidetal:
750
  • Beskrivelse
  • Yderligere info
  • Anmeldelser

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.

Andre udgaver:

Bog, paperback

Vis mereVis mindre

Udgivelsesdato:
06-10-2015
ISBN13:
9789814689083
Vægt:
1485 g
Dybde:
45 mm
Bredde:
175 mm
Højde:
250 mm
Format:
Hardback
Forfattere
Bibliotekernes beskrivelse Volume 1 covers the content of two typical modules in undergraduate course for mathematics: Part 1: Introductory calculus Part 2: Analysis of functions of one variable

Vis mereVis mindre

Vis mereVis mindre

Fandt du ikke hvad du søgte?

Hvis denne bog ikke er noget for dig, kan du benytte kategorierne nedenfor til at finde andre titler. Klik på en kategori for at se lignende bøger.

Velkommen til Saxo – din danske boghandel!

Hos os kan du handle som gæst, Saxo-bruger eller Premium-medlem – du bestemmer helt selv. Skulle du få brug for hjælp, sidder vores kundeservice-team klar ved både telefonerne og tasterne.

Om fordelspriser hos Saxo

For at købe bøger til fordelspris, skal du være medlem af Premium, Premium Shopping eller Premium Studie. De første 30 dage er gratis for nye medlemmer. Medlemskabet fornyes automatisk og kan altid opsiges. Læs mere om fordelene ved vores forskellige medlemskaber her.

Machine Name: SAXO081