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Introduction to mathematical analysis /

Kriz, Igor.

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Introduction to mathematical analysis /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to mathematical analysis // Igor Kriz, Aleš Pultr.
作者:	Kriz, Igor.
其他作者:	Pultr, Aleš.
出版者:	Basel ;Birkhäuser/Springer, : c2013.,
面頁冊數:	xx, 510 p. :ill ;25 cm.
標題:	Mathematical analysis. -
ISBN:	9783034806350 (pbk.) :

Introduction to mathematical analysis /
Kriz, Igor.

Introduction to mathematical analysis /Igor Kriz, Aleš Pultr. - Basel ;Birkhäuser/Springer,c2013. - xx, 510 p. :ill ;25 cm.

Includes bibliographical references (p. 501) and indexes.

Preliminaries --

The book begins at an undergraduate student level, assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, the Lebesgue integral, vector calculus and differential equations. After having created a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differential geometry and even functional analysis. Overall, this text provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis as understood by mathematicians today.

ISBN: 9783034806350 (pbk.) :EUR69.99

LCCN: 2013941992Subjects--Topical Terms:

516833
Mathematical analysis.

LC Class. No.: QA331.5 / .K75 2013

Dewey Class. No.: 515

Introduction to mathematical analysis /
LDR:02262cam a2200229Ia 4500 001 1931876
003 OCoLC
005 20141117112222.0
008 140826s2013 sz b 001 0 eng d
010 $a 2013941992
020 $a 9783034806350 (pbk.) : $c EUR69.99
020 $a 3034806353 (pbk.)
020 $a 9783034806367 (ebk.)
020 $a 3034806361 (ebk.)
040 $a UKMGB $b eng
050 # 4 $a QA331.5 $b .K75 2013
082 0 4 $a 515 $2 23
100 1 $a Kriz, Igor. $q (I.) $3 2073685
245 1 0 $a Introduction to mathematical analysis / $c Igor Kriz, Aleš Pultr.
260 # $a Basel ; $a New York : $b Birkhäuser/Springer, $c c2013.
300 $a xx, 510 p. : $b ill ; $c 25 cm.
504 $a Includes bibliographical references (p. 501) and indexes.
505 0 # $t Preliminaries -- $t Metric and topological spaces I -- $t Multivariable differential calculus -- $t Integration I : multivariable Riemann integral and basic ideas toward the Lebesgue integral -- $t Integration II: measurable functions, measure and the techniques of Lebesgue integration -- $t Systems of ordinary differential equations -- $t Systems of linear differential equations -- $t Line integrals and Green's theorem -- $t Metric and topological spaces II -- $t Complex analysis I : basic concepts -- $t Multilinear algebra -- $t Smooth manifolds, differential forms and Stokes' theorem -- $t Complex analysis II : further topics -- $t Calculus of variations and the geodesic equation -- $t Tensor calculus and Riemannian geometry -- $t Banach and Hilbert spaces : elements of functional analysis -- $t A few applications of Hilbert spaces -- $t Linear algebra I : vector spaces -- $t Linear algebra II : more about matrices.
520 # $a The book begins at an undergraduate student level, assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, the Lebesgue integral, vector calculus and differential equations. After having created a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differential geometry and even functional analysis. Overall, this text provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis as understood by mathematicians today.
650 # 0 $a Mathematical analysis. $3 516833
700 1 # $a Pultr, Aleš. $3 1636870