Cantitate/Preț
Produs
Total produse
Vezi coșul
Complex Analysis with Applications to Number Theory de Tarlok Nath Shorey

Complex Analysis with Applications to Number Theory: Infosys Science Foundation Series

Autor Tarlok Nath Shorey
en Limba Engleză Hardback – 14 noi 2020
The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics and undergraduate students of engineering, as well as to researchers in complex analysis and number theory. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two and three manifolds and number theory. In additional to solved examples and problems, the book covers most of the topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann–Zeta function, Dirichlet theorem, gamma function and harmonic functions. 

Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 38852 lei  6-8 săpt.
  Springer Nature Singapore – 14 noi 2021 38852 lei  6-8 săpt.
Hardback (1) 49648 lei  6-8 săpt.
  Springer Nature Singapore – 14 noi 2020 49648 lei  6-8 săpt.

Din seria Infosys Science Foundation Series

Preț: 49648 lei

Nou

Puncte Express: 745
Preț estimativ în valută:
9503€ • 9793$ • 8022£

Carte tipărită la comandă

Livrare economică 03-17 martie

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9789811590962
ISBN-10: 9811590966
Pagini: 287
Ilustrații: XVI, 287 p. 14 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.62 kg
Ediția:1st ed. 2020
Editura: Springer Nature Singapore
Colecția Springer
Seriile Infosys Science Foundation Series, Infosys Science Foundation Series in Mathematical Sciences

Locul publicării:Singapore, Singapore

Cuprins

Introduction And Preliminaries.- Cauchy Theorems and Their Applications.-  Conformal Mappings and Riemann Mapping Theorem.- Picard's Theorems.- Factorisation of Analytic Functions in C and in a Region.- Gamma Function.- Riemann Zeta Function.- Dirichlet Series and Dirichlet Theorem.- Harmonic Functions.- Elliptic Functions and Modular Forms.

Recenzii

“This book covers essential materials of complex analysis and contains special topics on number theory. … This book is elegantly written and self-contained with rigorous proofs. It is an attractive introductory book for those who are interested in not only complex analysis but also analytic number theory.” (Jongho Yang, Mathematical Reviews, April, 2022)
“The strength of this text is in its concise but complete development of each topic. ... Shorey’s text is best used for a second complex analysis course covering a range of advanced topics … .” (Ian Whitehead, MAA Reviews, January 10, 2022)
“The book can serve as a reference source for readers interested in mathematical relations between complex analysis and number theory. Also, it can attract amateurs of classical conjectures for the Riemann zeta function.” (Dmitri V. Prokhorov, zbMATH 1467.30001, 2021)

Notă biografică

TARLOK NATH SHOREY is a distinguished professor at the National Institute of Advanced Studies (situated in the campus of the Indian Institute of Science), Bengaluru, India. Earlier, he taught at the Department of Mathematics, Indian Institute of Technology Bombay, India. He also had been associated with the Tata Institute of Fundamental Research (TIFR), Mumbai, India, for a period of 42 years. Professor Shorey has done numerous momentous works on transcendental number theory and Diophantine equation. In 1987, he was awarded the Shanti Swarup Bhatnagar Prize for Science and Technology—the highest science award in India—in the Mathematical Sciences category. He has coauthored a book, Exponential Diophantine Equations, and has more than 142 research publications to his credit. He is fellow of the Indian National Science Academy (INSA), Indian Academy of Sciences (IASc) and The National Academy of Sciences (NASI).

Textul de pe ultima copertă

The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics, undergraduate students of engineering and researchers in fields of complex analysis and number theory. This theory is a prerequisite for the study of various areas of mathematics, including the theory of several finitely and infinitely complex variables, hyperbolic geometry, two- and three-manifolds, and number theory. In addition to solved examples and problems, the book covers most topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann–Zeta function, Dirichlet theorem, Gamma function, and harmonic functions.

Caracteristici

Focuses on interactions of complex analysis with number theory Supplements suitable solved examples and problems with all chapters Is authored by the winner of the Shanti Swarup Bhatnagar Prize for Science and Technology