X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Wegen Wartungsarbeiten steht das KOBV-Portal am 11.03.2025 ggf. nur eingeschränkt zur Verfügung. Wir bitten um Ihr Verständnis.
Export
  • 1
    Book
    Book
    Elements of partial differential equations / (2014)
    Berlin [u.a.] :De Gruyter,
    Details
    UID:
    almahu_BV041931569
    Format: XIII, 277 S. : , graph. Darst.
    Edition: 2., revised and extended ed.
    ISBN: 978-3-11-031665-0
    Series Statement: de Gruyter Textbook
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-11-031667-4
    Language: English
    Subjects: Mathematics
    RVK:
    SK 540
    Keywords: Partielle Differentialgleichung ; Lehrbuch ; Lehrbuch ; Lehrbuch ; Lehrbuch
    URL: Inhaltstext
    URL: Klappentext
    URL: Inhaltsverzeichnis
    URL: Inhaltstext
    URL: Klappentext
    URL: Inhaltsverzeichnis
    Author information: Holubová, Gabriela
    Author information: Drábek, Pavel 1953-
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Book
    HU Berlin get availability status
    Berlin VÖBB/ZLB get availability status
    TU Berlin get availability status
  • 2
    Online Resource
    Online Resource
    Elements of Partial Differential Equations / (2014)
    Berlin :De Gruyter,
    Details
    UID:
    almafu_9958354160202883
    Format: 1 online resource(xiii,277p.) : , illustrations.
    Edition: 2nd revised and extended edition
    Edition: Electronic reproduction. Berlin : De Gruyter, 2014. Mode of access: World Wide Web.
    Edition: System requirements: Web browser.
    Edition: Access may be restricted to users at subscribing institutions.
    ISBN: 9783110316674
    Series Statement: De Gruyter Textbook
    Content: This book presents a first introduction to PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs and learns some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.
    Note: Frontmatter -- , Preface -- , Contents -- , Chapter 1. Motivation, Derivation of Basic Mathematical Models -- , Chapter 2. Classification, Types of Equations, Boundary and Initial Conditions -- , Chapter 3. Linear Partial Differential Equations of the First Order -- , Chapter 4. Wave Equation in One Spatial Variable – Cauchy Problem in R -- , Chapter 5. Diffusion Equation in One Spatial Variable – Cauchy Problem in R -- , Chapter 6. Laplace and Poisson Equations in Two Dimensions -- , Chapter 7. Solutions of Initial Boundary Value Problems for Evolution Equations -- , Chapter 8. Solutions of Boundary Value Problems for Stationary Equations -- , Chapter 9. Methods of Integral Transforms -- , Chapter 10. General Principles -- , Chapter 11. Laplace and Poisson equations in Higher Dimensions -- , Chapter 12. Diffusion Equation in Higher Dimensions -- , Chapter 13. Wave Equation in Higher Dimensions -- , Appendix A. Sturm-Liouville Problem -- , Appendix B. Bessel Functions -- , Some Typical Problems Considered in this Book -- , Notation -- , Bibliography -- , Index. , In English
    Language: English
    Subjects: Mathematics
    RVK:
    SK 540
    DOI: 10.1515/9783110316674
    URL: https://doi.org/10.1515/9783110316674
    URL: Volltext
    URL: Volltext  (lizenzpflichtig)
    URL: lizenzpflichtig
    URL: Cover
    URL: Inhaltstext
    URL: Cover
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    Online Access
    Open Access Request
    FU Berlin
    UB Potsdam
  • 3
    Online Resource
    Online Resource
    Elements of Partial Differential Equations (2014)
    Berlin [u.a.] : De Gruyter
    Details
    UID:
    gbv_1655230182
    Format: Online-Ressource (XIII, 277 S.)
    Edition: 2., rev. and extended ed.,
    Edition: Reproduktion 2014
    ISBN: 9783110316674
    Series Statement: De Gruyter eBook-Paket Mathematik und Physik
    Content: Biographical note: Pavel Drábek and Gabriela Holubová, University of West Bohemia, Czech Republic.
    Content: This book presents a first introduction to PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs and learns some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.
    Content: Review text: "This is an excellent book providing a first introduction to differential equations on an elementary level."Dian K. Palagachev in: Zentralblatt MATH 1170 "The book contains 250 exercises demonstrating the main goal of this book, namely introduce students of mathematics, physics and engineering to partial differential equations as one of the main tools of mathematical modelling. It can be highly recommended for this purpose."(jmil) in: EMS Newsletter 09/2007 "The well-structured text is complemented by numerous illustrations, examples and exercices."L'Enseignement Mathématique 1-2/2007
    Note: Differences between the printed and electronic version of the document are possible , Unterschiede zwischen dem gedruckten Dokument und der elektronischen Ressource können nicht ausgeschlossen werden , Preface; Contents; 1 Motivation, Derivation of Basic Mathematical Models; 1.1 Conservation Laws; 1.1.1 Evolution Conservation Law; 1.1.2 Stationary Conservation Law; 1.1.3 Conservation Law in One Dimension; 1.2 Constitutive Laws; 1.3 Basic Models; 1.3.1 Convection and Transport Equation; 1.3.2 Diffusion in One Dimension; 1.3.3 Heat Equation in One Dimension; 1.3.4 Heat Equation in Three Dimensions; 1.3.5 String Vibrations and Wave Equation in One Dimension; 1.3.6 Wave Equation in Two Dimensions - Vibrating Membrane; 1.3.7 Laplace and Poisson Equations - Steady States; 1.4 Exercises , 2 Classification, Types of Equations, Boundary and Initial Conditions2.1 Basic Types of Equations; 2.2 Classical, General, Generic and Particular Solutions; 2.3 Boundary and Initial Conditions; 2.4 Well-Posed and Ill-Posed Problems; 2.5 Classification of Linear Equations of the Second Order; 2.6 Exercises; 3 Linear Partial Differential Equations of the First Order; 3.1 Equations with Constant Coefficients; 3.1.1 Geometric Interpretation - Method of Characteristics; 3.1.2 Coordinate Method; 3.1.3 Method of Characteristic Coordinates; 3.2 Equations with Non-Constant Coefficients , 3.2.1 Method of Characteristics3.2.2 Method of Characteristic Coordinates; 3.3 Problems with Side Conditions; 3.4 Solution in Parametric Form; 3.5 Exercises; 4 Wave Equation in One Spatial Variable - Cauchy Problem in R; 4.1 General Solution of the Wave Equation; 4.1.1 Transformation to System of Two First Order Equations; 4.1.2 Method of Characteristics; 4.2 Cauchy Problem on the Real Line; 4.3 Principle of Causality; 4.4 Wave Equation with Sources; 4.4.1 Use of Green's Theorem; 4.4.2 Operator Method; 4.5 Exercises; 5 Diffusion Equation in One Spatial Variable - Cauchy Problem in R , 5.1 Cauchy Problem on the Real Line5.2 Diffusion Equation with Sources; 5.3 Exercises; 6 Laplace and Poisson Equations in Two Dimensions; 6.1 Invariance of the Laplace Operator; 6.2 Transformation of the Laplace Operator into Polar Coordinates; 6.3 Solutions of Laplace and Poisson Equations in R2; 6.3.1 Laplace Equation; 6.3.2 Poisson Equation; 6.4 Exercises; 7 Solutions of Initial Boundary Value Problems for Evolution Equations; 7.1 Initial Boundary Value Problems on Half-Line; 7.1.1 Diffusion and Heat Flow on Half-Line; 7.1.2 Wave on the Half-Line , 7.1.3 Problems with Nonhomogeneous Boundary Condition7.2 Initial Boundary Value Problem on Finite Interval, Fourier Method; 7.2.1 Dirichlet Boundary Conditions, Wave Equation; 7.2.2 Dirichlet Boundary Conditions, Diffusion Equation; 7.2.3 Neumann Boundary Conditions; 7.2.4 Robin Boundary Conditions; 7.2.5 Principle of the Fourier Method; 7.3 Fourier Method for Nonhomogeneous Problems; 7.3.1 Nonhomogeneous Equation; 7.3.2 Nonhomogeneous Boundary Conditions and Their Transformation; 7.4 Transformation to Simpler Problems; 7.4.1 Lateral Heat Transfer in Bar; 7.4.2 Problem with Convective Term , 7.5 Exercises , Systemvoraussetzungen: Internet-Zugriff, Adobe Acrobat Reader. , In English
    Additional Edition: ISBN 9783110316650
    Additional Edition: ISBN 9783110316674
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-11-031667-4
    Additional Edition: Erscheint auch als Druck-Ausgabe Drábek, Pavel, 1953 - Elements of partial differential equations Berlin : de Gruyter, 2014 ISBN 311031665X
    Additional Edition: ISBN 9783110316650
    Language: English
    Subjects: Mathematics
    RVK:
    SK 540
    Keywords: Partielle Differentialgleichung ; Electronic books ; Lehrbuch
    DOI: 10.1515/9783110316674
    URL: Volltext  (lizenzpflichtig)
    URL: lizenzpflichtig
    URL: Volltext
    URL: Cover
    URL: Cover
    URL: Inhaltstext
    Author information: Holubová, Gabriela
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    Online Access
    Open Access Request
    UB Potsdam
  • 4
    Online Resource
    Online Resource
    Elements of Partial Differential Equations / (2014)
    Berlin :De Gruyter,
    Details
    UID:
    edocfu_9958354160202883
    Format: 1 online resource(xiii,277p.) : , illustrations.
    Edition: 2nd revised and extended edition
    Edition: Electronic reproduction. Berlin : De Gruyter, 2014. Mode of access: World Wide Web.
    Edition: System requirements: Web browser.
    Edition: Access may be restricted to users at subscribing institutions.
    ISBN: 9783110316674
    Series Statement: De Gruyter Textbook
    Content: This book presents a first introduction to PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs and learns some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.
    Note: Frontmatter -- , Preface -- , Contents -- , Chapter 1. Motivation, Derivation of Basic Mathematical Models -- , Chapter 2. Classification, Types of Equations, Boundary and Initial Conditions -- , Chapter 3. Linear Partial Differential Equations of the First Order -- , Chapter 4. Wave Equation in One Spatial Variable – Cauchy Problem in R -- , Chapter 5. Diffusion Equation in One Spatial Variable – Cauchy Problem in R -- , Chapter 6. Laplace and Poisson Equations in Two Dimensions -- , Chapter 7. Solutions of Initial Boundary Value Problems for Evolution Equations -- , Chapter 8. Solutions of Boundary Value Problems for Stationary Equations -- , Chapter 9. Methods of Integral Transforms -- , Chapter 10. General Principles -- , Chapter 11. Laplace and Poisson equations in Higher Dimensions -- , Chapter 12. Diffusion Equation in Higher Dimensions -- , Chapter 13. Wave Equation in Higher Dimensions -- , Appendix A. Sturm-Liouville Problem -- , Appendix B. Bessel Functions -- , Some Typical Problems Considered in this Book -- , Notation -- , Bibliography -- , Index. , In English
    Language: English
    DOI: 10.1515/9783110316674
    URL: https://doi.org/10.1515/9783110316674
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    Open Access Request
    FU Berlin
  • 5
    Online Resource
    Online Resource
    Elements of partial differential equations / (2014)
    Berlin, [Germany] ; : De Gruyter,
    Details
    UID:
    almahu_9948318986002882
    Format: 1 online resource (291 pages) : , illustrations.
    Edition: Second, revised and extended edition.
    ISBN: 9783110316674 (e-book)
    Series Statement: De Gruyter Textbook
    Additional Edition: Print version: Drábek, Pavel, 1953- Elements of partial differential equations. Berlin, [Germany] ; Boston, [Massachusetts] : De Gruyter, c2014 ISBN 9783110316650
    Language: English
    Keywords: Electronic books.
    URL: Click to View
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    HU Berlin
  • 6
    Online Resource
    Online Resource
    Elements of Partial Differential Equations / (2014)
    Berlin ; : De Gruyter,
    Details
    UID:
    almahu_9949462258402882
    Format: 1 online resource (277 p.)
    Edition: 2nd revised and extended edition
    ISBN: 9783110316674 , 9783110238570
    Series Statement: De Gruyter Textbook
    Content: This textbook is an elementary introduction to the basic principles of partial differential equations. With many illustrations it introduces PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.
    Note: Frontmatter -- , Preface -- , Contents -- , Chapter 1. Motivation, Derivation of Basic Mathematical Models -- , Chapter 2. Classification, Types of Equations, Boundary and Initial Conditions -- , Chapter 3. Linear Partial Differential Equations of the First Order -- , Chapter 4. Wave Equation in One Spatial Variable - Cauchy Problem in R -- , Chapter 5. Diffusion Equation in One Spatial Variable - Cauchy Problem in R -- , Chapter 6. Laplace and Poisson Equations in Two Dimensions -- , Chapter 7. Solutions of Initial Boundary Value Problems for Evolution Equations -- , Chapter 8. Solutions of Boundary Value Problems for Stationary Equations -- , Chapter 9. Methods of Integral Transforms -- , Chapter 10. General Principles -- , Chapter 11. Laplace and Poisson equations in Higher Dimensions -- , Chapter 12. Diffusion Equation in Higher Dimensions -- , Chapter 13. Wave Equation in Higher Dimensions -- , Appendix A. Sturm-Liouville Problem -- , Appendix B. Bessel Functions -- , Some Typical Problems Considered in this Book -- , Notation -- , Bibliography -- , Index , Mode of access: Internet via World Wide Web. , In English.
    In: DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
    In: DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
    In: DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
    In: EBOOK PACKAGE Complete Package 2014, De Gruyter, 9783110369526
    In: EBOOK PACKAGE Mathematics, Physics 2014, De Gruyter, 9783110370355
    Additional Edition: ISBN 9783110374049
    Additional Edition: ISBN 9783110316650
    Language: English
    Subjects: Mathematics
    RVK:
    SK 540
    DOI: 10.1515/9783110316674
    URL: https://doi.org/10.1515/9783110316674
    URL: https://www.degruyter.com/isbn/9783110316674
    URL: Cover
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    Open Access Request
    HU Berlin
Nothing or not found what you are looking for? Please check your search query or use the Interlibrary Loan Search.
Did you mean 9783110361674?
Did you mean 9783110306675?
Did you mean 9783110246674?
Close ⊗
This website uses cookies and the analysis tool Matomo. Further information can be found on the KOBV privacy pages