Calculus of One Variable

Understanding the techniques and applications of calculus is at the heart of mathematics, science and engineering. This book presents the key topics of introductory calculus through an extensive, well-chosen collection of worked examples, covering; algebraic techniques functions and graphs an inform...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hirst, K.E (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Springer Undergraduate Mathematics Series,
Temas:
Functions of real variables.
Real Functions.
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-1-84628-222-5
003 DE-He213
005 20220118001215.0
007 cr nn 008mamaa
008 100301s2006 xxk| s |||| 0|eng d
020 |a 9781846282225  |9 978-1-84628-222-5 
024 7 |a 10.1007/1-84628-222-5  |2 doi 
050 4 |a QA331.5 
072 7 |a PBKB  |2 bicssc 
072 7 |a MAT034000  |2 bisacsh 
072 7 |a PBKB  |2 thema 
082 0 4 |a 515.8  |2 23 
100 1 |a Hirst, K.E.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Calculus of One Variable  |h [electronic resource] /  |c by K.E. Hirst. 
250 |a 1st ed. 2006. 
264 1 |a London :  |b Springer London :  |b Imprint: Springer,  |c 2006. 
300 |a XII, 268 p. 72 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Springer Undergraduate Mathematics Series,  |x 2197-4144 
505 0 |a Functions and Graphs -- Limits of Functions -- Differentiation -- Techniques of Differentiation -- Applications of Differentiation -- Maclaurin and Taylor Expansions -- Integration -- Integration by Parts -- Integration by Substitution -- Integration of Rational Functions -- Geometrical Applications of Integration. 
520 |a Understanding the techniques and applications of calculus is at the heart of mathematics, science and engineering. This book presents the key topics of introductory calculus through an extensive, well-chosen collection of worked examples, covering; algebraic techniques functions and graphs an informal discussion of limits techniques of differentiation and integration Maclaurin and Taylor expansions geometrical applications Aimed at first-year undergraduates in mathematics and the physical sciences, the only prerequisites are basic algebra, coordinate geometry and the beginnings of differentiation as covered in school. The transition from school to university mathematics is addressed by means of a systematic development of important classes of techniques, and through careful discussion of the basic definitions and some of the theorems of calculus, with proofs where appropriate, but stopping short of the rigour involved in Real Analysis. The influence of technology on the learning and teaching of mathematics is recognised through the use of the computer algebra and graphical package MAPLE to illustrate many of the ideas. Readers are also encouraged to practice the essential techniques through numerous exercises which are an important component of the book. Supplementary material, including detailed solutions to exercises and MAPLE worksheets, is available via the web. . 
650 0 |a Functions of real variables. 
650 1 4 |a Real Functions. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9781848008434 
776 0 8 |i Printed edition:  |z 9781852339401 
830 0 |a Springer Undergraduate Mathematics Series,  |x 2197-4144 
856 4 0 |u https://doi.uam.elogim.com/10.1007/1-84628-222-5  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

Ejemplares similares