Kooperativer Bibliotheksverbund

UID:

Format: IX, 393 Seiten ; , 24 cm, 774 g.

ISBN: 978-3-11-065769-2 , 3-11-065769-4

Series Statement: De Gruyter graduate

Additional Edition: Erscheint auch als Online-Ausgabe, EPUB ISBN 978-3-11-065804-0

Additional Edition: Erscheint auch als Online-Ausgabe, PDF ISBN 978-3-11-065772-2

Language: English

Subjects: Mathematics

Keywords: Funktionalanalysis

URL: Inhaltsverzeichnis

URL: Inhaltsverzeichnis

URL: http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110657692&searchTitles=true

URL: http://d-nb.info/1179950631/04

URL: Inhaltsverzeichnis

URL: Inhaltsverzeichnis

Author information: Georgiev, Svetlin, 1974-,

UID:

Format: X, 461 Seiten , 24 cm x 17 cm, 890 g

Edition: 1

ISBN: 9783111375090 , 3111375099

Note: Erscheint auch als Online-Ausgabe 9783111377711 (ISBN)

Language: English

URL: https://www.degruyter.com/isbn/9783111375090

URL: https://d-nb.info/1317226410/04

Author information: Georgiev, Svetlin

UID:

Format: 1 online resource (ix, 206 pages) : , illustrations.

Edition: First edition.

ISBN: 9781000605501 , 1000605507 , 9781003299080 , 1003299083 , 9781000605426 , 1000605426

Series Statement: Textbooks in mathematics

Content: "This book is devoted to the multiplicative differential calculus. It summarizes the most recent contributions in this area. The book is intended for senior undergraduate students and beginning graduate students of engineering and science courses. Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. In the period from 1967 till 1970 Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, moving the roles of subtraction and addition to division and multiplication, and thus established a new calculus, called multiplicative calculus. It is also called an alternative or non-Newtonian calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics, finance, biology, and engineering. This book is devoted to the multiplicative differential calculus. It summarizes the most recent contributions in this area. The book is intended for senior undergraduate students and beginning graduate students of engineering and science courses. The book contains seven chapters. The chapters in the book are pedagogically organized. Each chapter concludes with a section with practical problems. This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers, and biologists. It is primarily meant as a textbook at the graduate level and may be used for a course on differential calculus. Each chapter concludes with a section with practical problems to be assigned or for self-study"--

Note: A Chapman & Hall book.

Additional Edition: Print version: Georgiev, Svetlin. Multiplicative differential calculus Boca Raton : Chapman & Hall/CRC Press, [2022] ISBN 9781032289120

Language: English

Keywords: Electronic books.

URL: https://www.taylorfrancis.com/books/9781003299080

UID:

Format: 1 online resource (x, 682 pages)

Edition: First edition.

ISBN: 9781003173557 , 1003173551 , 9781000429848 , 1000429849 , 9781000429893 , 100042989X

Series Statement: Advances in applied mathematics

Content: Boundary Value Problems on Time Scales, Volume I is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines. The text contains two volumes, both published by Chapman & Hall/CRC Press. Volume I presents boundary value problems for first- and second-order dynamic equations on time scales. Volume II investigates boundary value problems for three, four, and higher-order dynamic equations on time scales. Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, the theory of dynamic equations is an active area of research. The time-scale calculus can be applied to any field in which dynamic processes are described by discrete or continuous time models. The calculus of time scales has various applications involving noncontinuous domains such as certain bug populations, phytoremediation of metals, wound healing, maximization problems in economics, and traffic problems. Boundary value problems on time scales have been extensively investigated in simulating processes and the phenomena subject to short-time perturbations during their evolution. The material in this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques. AUTHORS Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbs University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior.

Note: "Chapman & Hall book."

Additional Edition: Print version: Georgiev, Svetlin. Boundary value problems on time scales. Volume I. Boca Raton : Chapman & Hall/CRC, 2021 ISBN 9781032002910

Language: English

Keywords: Electronic books.

URL: https://www.taylorfrancis.com/books/9781003173557

UID:

Format: 1 online resource (376 pages)

ISBN: 9781003394549 , 100339454X , 1000897605 , 9781000897586 , 1000897583 , 9781000897609

Content: Multiplicative Differential Equations: Volume II is the second part of a comprehensive approach to the subject. It continues a series of books written by the authors on multiplicative, geometric approaches to key mathematical topics. This volume is devoted to the theory of multiplicative differential systems. The asymptotic behavior of the solutions of such systems is studied. Stability theory for multiplicative linear and nonlinear systems is introduced and boundary value problems for second-order multiplicative linear and nonlinear equations are explored. The authors also present first-order multiplicative partial differential equations. Each chapter ends with a section of practical problems. The text is accessible to graduate students and researchers in mathematics, physics, engineering and biology.

Additional Edition: Print version: Georgiev, Svetlin. Multiplicative differential equations. Volume II. Boca Raton : Chapman & Hall/CRC, 2023 ISBN 9781032495842

Language: English

DOI: 10.1201/9781003394549

URL: https://www.taylorfrancis.com/books/9781003394549

UID:

Format: 1 online resource (1 volume)

ISBN: 9781003325284 , 1003325289 , 9781000721102 , 1000721108 , 9781000720891 , 1000720896

Content: This book is devoted to multiplicative analytic geometry. The book reflects recent investigations into the topic. The reader can use the main formulae for investigations of multiplicative differential equations, multiplicative integral equations and multiplicative geometry. The authors summarize the most recent contributions in this area. The goal of the authors is to bring the most recent research on the topic to capable senior undergraduate students, beginning graduate students of engineering and science and researchers in a form to advance further study. The book contains eight chapters. The chapters in the book are pedagogically organized. Each chapter concludes with a section with practical problems. Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. In the period from 1967 till 1970, Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, moving the roles of subtraction and addition to division and multiplication, and thus established a new calculus, called multiplicative calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics and finance. Multiplicative Analytic Geometry builds upon multiplicative calculus and advances the theory to the topics of analytic and differential geometry.

Additional Edition: Print version: Georgiev, Svetlin. Multiplicative analytic geometry. Boca Raton : Chapman & Hall/CRC, 2022 ISBN 9781032350981

Language: English

DOI: 10.1201/9781003325284

URL: https://www.taylorfrancis.com/books/9781003325284

UID:

Format: 1 online resource (384 pages) : , illustrations (black and white).

Edition: First edition.

ISBN: 9781003393344 , 1003393349 , 9781000891751 , 1000891755 , 9781000891706 , 1000891704

Content: Multiplicative Differential Equations: Volume I is the first part of a comprehensive approach to the subject. It continues a series of books written by the authors on multiplicative, geometric approaches to key mathematical topics. This volume begins with a basic introduction to multiplicative differential equations and then moves on to first- and second-order equations, as well as the question of existence and uniqueness of solutions. Each chapter ends with a section of practical problems. The book is accessible to graduate students and researchers in mathematics, physics, engineering and biology.

Additional Edition: Print version: Georgiev, Svetlin. Multiplicative differential equations. Volume I. Boca Raton : Chapman & Hall/CRC, 2023 ISBN 9781032491370

Language: English

DOI: 10.1201/9781003393344

URL: https://www.taylorfrancis.com/books/9781003393344

UID:

Format: 1 online resource (402 p.)

ISBN: 9783110657722

Series Statement: De Gruyter Textbook

Note: Frontmatter -- , Preface -- , Contents -- , 1. Vector, metric, normed and Banach spaces -- , 2. Lebesgue integration -- , 3. The Lp spaces -- , 4. Linear operators -- , 5. Linear functionals -- , 6. Relatively compact sets in metric and normed spaces. Compact operators -- , 7. Self-adjoint operators in Hilbert spaces -- , 8. The method of the small parameter -- , 9. The parameter continuation method -- , 10. Fixed-point theorems and applications -- , A. Sets and mappings -- , B. Functions of bounded variation -- , Bibliography -- , Index , In English.

Additional Edition: ISBN 9783110658040

Additional Edition: ISBN 9783110657692

Language: English

DOI: 10.1515/9783110657722

URL: https://doi.org/10.1515/9783110657722

URL: https://doi.org/10.1515/9783110657722

UID:

Format: 1 online resource (x, 360 pages).

Edition: First edition.

ISBN: 9781003472131 , 1003472133 , 9781040023334 , 1040023339 , 9781040023365 , 1040023363

Series Statement: Advances in applied mathematics

Content: This book is focused on the qualitative theory of general quantum calculus, the modern name for the investigation of calculus without limits. It centers on designing, analysing and applying computational techniques for general quantum differential equations.

Language: English

DOI: 10.1201/9781003472131

URL: https://www.taylorfrancis.com/books/9781003472131

UID:

Format: 1 Online-Ressource (IX, 393 Seiten)

ISBN: 9783110657722 , 9783110658040

Series Statement: De Gruyter graduate

Content: Frontmatter -- Preface -- Contents -- 1. Vector, metric, normed and Banach spaces -- 2. Lebesgue integration -- 3. The Lp spaces -- 4. Linear operators -- 5. Linear functionals -- 6. Relatively compact sets in metric and normed spaces. Compact operators -- 7. Self-adjoint operators in Hilbert spaces -- 8. The method of the small parameter -- 9. The parameter continuation method -- 10. Fixed-point theorems and applications -- A. Sets and mappings -- B. Functions of bounded variation -- Bibliography -- Index

Additional Edition: ISBN 9783110657692

Additional Edition: Erscheint auch als Druck-Ausgabe Georgiev, Svetlin, 1974 - Functional analysis with applications Berlin : De Gruyter, 2019 ISBN 9783110657692

Additional Edition: ISBN 3110657694

Language: English

Subjects: Mathematics

Keywords: Funktionalanalysis ; Analysis ; Lebesgue-Integral ; Fixpunktsatz ; Lehrbuch

DOI: 10.1515/9783110657722

URL: Volltext  (lizenzpflichtig)

URL: lizenzpflichtig

URL: Inhaltsverzeichnis

URL: Cover

URL: Cover

Author information: Georgiev, Svetlin 1974-