Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work still has an impact on many different fields of mathematical research. This book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics.
Format: Paperback / softbackCONTRIBUTORS: M. Ram MurtyEAN: 9788132217435COUNTRY: IndiaPAGES: WEIGHT: 454 gHEIGHT: 235 cm
PUBLISHED BY: Springer, India, Private LtdDATE PUBLISHED: 2014-11-09CITY: GENRE: MATHEMATICS / History & Philosophy, MATHEMATICS / Number Theory, MATHEMATICS / Mathematical Analysis, MATHEMATICS / CombinatoricsWIDTH: 155 cmSPINE:
Book Themes:
Discrete mathematics, Algebra, Number theory, Functional analysis and transforms, History of mathematics
“This book is based on a number of talks the authors gave at various research institutes. Their aim is to survey some of Srinivasa Ramanujan’s most significant achievements and the developments they have led to over the last decades. … This volume is suitable as a first introduction to some of Ramanujan’s remarkable and deep ideas.” (C. Baxa, Monatshefte für Mathematik, Vo. 180, 2016)“The authors introduce the reader to the topics through a historical account of the origin and later developments. … We warmly recommend this book for those who would like to have a glimpse on Ramanujan’s mathematics. Without being lost in the technicalities the reader will get a good look at the shape of many central questions.” (Péter Hajnal, Acta Scientiarum Mathematicarum (Szeged), Vol. 80 (1-2), 2014)“The Murtys’ goal … is to present Ramanujan’s mathematical legacy to a broad audience, and the thrust of the book is a set of eleven chapters discussing exactly that. … the book will utterly charm you, given its accessibility, style, structure, and depth. It’s a great pleasure to read, and it’s fine scholarship.” (Michael Berg, MAA Reviews, December, 2013)“This book is an outcome of lectures given by both authors in the last quarter century on various aspects of Ramanujan’s work at research institutions in India and Canada, to audiences ranging from graduate students to senior researchers. Thus the book is written in a style that will appeal to both research mathematicians and students desiring to enter the exciting world of Ramanujan’s mathematics. … the exposition is good and the book will be of interest to students and researchers … .” (Krishnaswami Alladi, Mathematical Reviews, September, 2013)
M. Ram Murty is head of the Department of Mathematics and Statistics at Queen's University, and is a Queen's research chair in mathematics. He is also professor of philosophy at Queen's. He was elected a fellow of the Royal Society of Canada in 1990, the Indian National Science Academy in 2008, and won the Coxeter–James Prize, Jeffery–Williams Prize, E.W.R. Steacie Fellowship, and the Killam Fellowship. His research areas include number theory, modular forms, elliptic curves, and sieve theory. His book Non-vanishing of L-functions and Applications, coauthored by his brother V. Kumar Murty, won the 1996 Balaguer Prize and was published by Birkhauser. In addition, Ram is adjunct professor at McGill University; TIFR; IMSc; CMI; IIT Bombay; IISER, West Bengal; Vivekananda University; and Harish Chandra Research Institute, Uttar Pradesh.V. Kumar Murty is head of the Department of Mathematics at the University of Toronto. His research areas include number theory, arithmetic geometry, and their applications. He was awarded the Coxeter-James Prize of the Canadian Mathematical Society in 1991, the E. W. R. Steacie Fellowship of NSERC in 1995, and the Inventor of the Year Award of the University of Toronto in 2011. He was elected a fellow of the Royal Society of Canada in 1995 and a fellow of the National Academy of Sciences in 2011. He served as editor-in-chief of the Journal of the Ramanujan Mathematical Society, and as editor of the Transactions of the American Mathematical Society. Moreover, he served on the board of directors of the Canadian Mathematical Society during 1995–1999 and as vice-president of the society during 2009–2011. Kumar Murty received his PhD from Harvard University. He is adjunct professor at TIFR, IMSc, CMI, the Harish-Chandra Research Institute, and Vivekananda University.
Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work still has an impact on many different fields of mathematical research. This book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics.
Format: Paperback / softbackCONTRIBUTORS: M. Ram MurtyEAN: 9788132217435COUNTRY: IndiaPAGES: WEIGHT: 454 gHEIGHT: 235 cm
PUBLISHED BY: Springer, India, Private LtdDATE PUBLISHED: 2014-11-09CITY: GENRE: MATHEMATICS / History & Philosophy, MATHEMATICS / Number Theory, MATHEMATICS / Mathematical Analysis, MATHEMATICS / CombinatoricsWIDTH: 155 cmSPINE:
Book Themes:
Discrete mathematics, Algebra, Number theory, Functional analysis and transforms, History of mathematics
M. Ram Murty is head of the Department of Mathematics and Statistics at Queen's University, and is a Queen's research chair in mathematics. He is also professor of philosophy at Queen's. He was elected a fellow of the Royal Society of Canada in 1990, the Indian National Science Academy in 2008, and won the Coxeter–James Prize, Jeffery–Williams Prize, E.W.R. Steacie Fellowship, and the Killam Fellowship. His research areas include number theory, modular forms, elliptic curves, and sieve theory. His book Non-vanishing of L-functions and Applications, coauthored by his brother V. Kumar Murty, won the 1996 Balaguer Prize and was published by Birkhauser. In addition, Ram is adjunct professor at McGill University; TIFR; IMSc; CMI; IIT Bombay; IISER, West Bengal; Vivekananda University; and Harish Chandra Research Institute, Uttar Pradesh.V. Kumar Murty is head of the Department of Mathematics at the University of Toronto. His research areas include number theory, arithmetic geometry, and their applications. He was awarded the Coxeter-James Prize of the Canadian Mathematical Society in 1991, the E. W. R. Steacie Fellowship of NSERC in 1995, and the Inventor of the Year Award of the University of Toronto in 2011. He was elected a fellow of the Royal Society of Canada in 1995 and a fellow of the National Academy of Sciences in 2011. He served as editor-in-chief of the Journal of the Ramanujan Mathematical Society, and as editor of the Transactions of the American Mathematical Society. Moreover, he served on the board of directors of the Canadian Mathematical Society during 1995–1999 and as vice-president of the society during 2009–2011. Kumar Murty received his PhD from Harvard University. He is adjunct professor at TIFR, IMSc, CMI, the Harish-Chandra Research Institute, and Vivekananda University.
Die verhaal van die kasarm en die Calitze kom tot 'n mooi einde
Ek kan nie ’n boek summier toemaak nadat die slotsin geskryf is nie. Ek lees álles, tot by die outeursnotas en die bronnelys (gewoonlik gooi ek darem net vlugtig ’n oog oor die bonne!). Chanette Paul maak in die nota oor Maanschijnbaai 2, die verdere verhaal van Nan en Jeannie, die stelling: “Lesers moet my asseblief vergewe dat my verbeelding altyd die oorhand oor die werklikheid kry en verdigsel voorkeur bo feite.” (p.635) Ek wil daarby aanhaak en bieg dat ’n uitstekende verhoudingsroman soos hierdie tydelik die oorhand gekry het oor my traagheid om te lees oor reïnkarnasie en die esoteriese. Die klomp Calitzse het my tyd en aandag totaal gekaap.
Die skrywer wy die laaste bladsye aan ’n verduideliking oor hoe die Maanschijnbaai-tweeluik ontstaan het. Sy beweer dat die Calitze haar “onkant” betrap het. Sy wou ’n romanse skryf maar uiteindelik was die karakters so kompleks dat dit op twee dik boeke en ’n intense familiedrama uitgeloop het.
Van die onderskeie karakters raak diep waarhede kwyt wat die moeite werd is om te onderstreep en te onthou, soos Zach wat dit gehad het oor die risiko om iemand op ’n pedestal te plaas omdat jy daardeur die persoon ’n onreg aandoen. (p.539) En Nan, wat die hele klomp Calitze moes grootkry, se wyse raad: “Met eerlikheid, Jeannie, kom ’n mens baie verder as met opoffering. Met eerlikheid gee jy almal ’n regverdige kans. Opoffering beteken bloot jy doen iets teen jou sin omdat jy glo dit sal ander baat.” (p.613)
Maak seker dat jy genoeg tyd op hande het, dan lees jy hierdie tweeluik in volgorde, Jo & Sue, gevolg deur Nan & Jeannie. Dit is hersien en met splinternuwe, pragtige baadjies uitgegee deur Lapa Uitgewers.
A very practical approach and the tools to go along with it
Very useful. The book provides a structure and an approach that I would have been useful earlier in my investing. I like the five gates and in particular the attention to quality and management's capital allocation decisions. I will also apply the idea of the stewardship log to get more explicit on my investment theses. This is kind of the practical aspect of what I learned from the Psychology of Money.
the title ties in really nicley the more towards the end but the title for the book suits it real...
the book is very slow burn and takes a while for like captivating parts of the book .but the middle to the end the pace of the book is really nice the beginning is just repetitive and and trust the processes
Skuld en vergifnis word nie versuiker in hierdie jeugverhaal nie
Twee halwes maak ’n hele is die wenner van ’n jeugboekprys. Ek moes myself gedurig herinner wat die teikenmark nou eintlik is, want die sake wat aangeraak word, is geensins beperk tot jeugdige lesers nie. Die sterk newe-karakters dra daartoe by die selfs baie ouer lesers goed aanklank kan vind by die storielyn wat ontvou.
“Hulle sê as jy iemand vergewe, lig jy ’n vrag van daardie persoon se skouers af. Maar miskien is sommige dinge net te swaar om van iemand anders se skouers te lig?” (p.178) Baie aandag word gegee aan skuld en vergifnis, maar geen suikeromhulde kitsoplossings word aangebied nie. Dit sou die storie beslis vervlak het.
Na die aardskuddende ontdekking wat Lira gemaak het, gaan sy vir drie maande na ’n Griekse eiland en maak sy kennis met haar ander helfte, ’n halfsuster wat presies die teenoorgestelde is van haar eie ingetoë, overthinking self. Ek het daarvan gehou dat hulle, die verskille ten spyt, nie in heftige konflik was nie. Eerder besig om algaande te ontdek dat hulle by mekaar kan aanpas en albei sterker daardeur kan kom.
Marita van der Vyver is ’n waardige wenner van die Tafelberg Jeugboekprys en hierdie boek hoort beslis in van der Vyver versamelings. Dit is uitgegee deur Tafelberg, ’n druknaam van Jonathan Ball Uitgewers.
