Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature?This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology.The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods.Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.
Format: Paperback / softbackCONTRIBUTORS: Don KoksEAN: 9781441921680COUNTRY: United StatesPAGES: WEIGHT: 848 gHEIGHT: 235 cm
PUBLISHED BY: Springer-Verlag New York Inc.DATE PUBLISHED: 2010-10-29CITY: GENRE: SCIENCE / Physics / Mathematical & Computational, SCIENCE / Physics / General, SCIENCE / Physics / Quantum TheoryWIDTH: 155 cmSPINE:
Book Themes:
Mathematics and Science, Quantum physics (quantum mechanics and quantum field theory), Mathematical physics
“In his Preface, Don Koks hopes that his book will be like Mary Poppins: practically perfect in every way. It comes close to this perfection and is a ‘must buy’ for technical libraries and every aspiring mathematical physicist/engineer of any age who has a background of degree level physics/mathematics/engineering. University students covering applied mathematics may also find this an exciting and helpful addition to their lecture notes. This reviewer has never enjoyed such a mathematical book so much before.” (J.E. Carroll, Contemporary Physics, Vol. 49 (1), January-February, 2008)
"With enjoyable and sometimes surprising excursions along the way, the journey provides a fresh look at many familiar topics, as it takes us from basic linear mathematics to general relativity… look forward to having your geometric intuition nourished and expanded by the author’s intelligent commentaries."
Eugen Merzbacher, University of North Carolina, Chapel Hill
"This truly is a book of explorations, covering many topics. The presentation is at its best in the fields of linear algebra and transformations, tensors, curvature and the geometrical insights. … The publisher suggests advanced undergraduate and graduate students and researchers as the readership. But … advanced undergraduates should be the natural audience. … I believe the book is an interesting supplement to standard texts for teaching mathematical methods in physics, as it will add alternative views that could serve as additional material." (S. Marcelja, Australian Journal of Physics, Vol. 44 (1), April/May, 2007)
"The book under review … offer a tour through the main ideas forming the language of modern mathematical physics. … In a book like this, it is a difficult task for the author to decide what is a good balance between the topics and their presentation, but in this case it has been achieved. … This book is intended for those physicists who would like to be exposed to clear motivation and careful explanation of the basics of the present-day apparatus of mathematical physics." (Ivailo M. Mladenov, Mathematical Reviews, Issue 2007 f)
"With enjoyable and sometimes surprising excursions along the way, the journey provides a fresh look at many familiar topics, as it takes us from basic linear mathematics to general relativity… look forward to having your geometric intuition nourished and expanded by the author’s intelligent commentaries."Eugen Merzbacher, University of North Carolina, Chapel HillHave you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature?This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology.The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods.Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.
Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature?This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology.The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods.Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.
Format: Paperback / softbackCONTRIBUTORS: Don KoksEAN: 9781441921680COUNTRY: United StatesPAGES: WEIGHT: 848 gHEIGHT: 235 cm
PUBLISHED BY: Springer-Verlag New York Inc.DATE PUBLISHED: 2010-10-29CITY: GENRE: SCIENCE / Physics / Mathematical & Computational, SCIENCE / Physics / General, SCIENCE / Physics / Quantum TheoryWIDTH: 155 cmSPINE:
Book Themes:
Mathematics and Science, Quantum physics (quantum mechanics and quantum field theory), Mathematical physics
"With enjoyable and sometimes surprising excursions along the way, the journey provides a fresh look at many familiar topics, as it takes us from basic linear mathematics to general relativity… look forward to having your geometric intuition nourished and expanded by the author’s intelligent commentaries."Eugen Merzbacher, University of North Carolina, Chapel HillHave you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature?This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology.The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods.Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.
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.
