Product Description
This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization. ... Read more

Customer Reviews (7)

$1.09 per page.
I wouldn't be opposed to this book if it wasn't for the fact that each piece of paper cost over a dollar. Add to that the fact that it is a paperback, and the inferior binding process which makes my dollar bills, I mean pages, fall out, and you have a book which I would never buy again. Thankfully all the information contained herein is easily found on the internet for free.

Favorite book as a grad student
This book is what led to me getting a Ph.D. in commutative algebra.I carried it around for an entire summer studying it.I highly recommend it for a graduate student introduction to the subject, after taking a course that at least introduces modules.Too bad there wasn't a volume II.

Introduction to Commutative Algebra
This is a difficult book for undergraduates, even ones who have already had some abstract algebra.
Many refer to the book's style as "terse", meaning that there is little explanation, few examples, and proofs are very condensed.

Concise Introduction to Commutative Algebra, strong preparation for Algebraic Number Theory and basic Algebraic Geometry
The strongest aspects of Atiyah & MacDonald's book are its brevity, accessibility to undergraduates, and subtle introduction of more advanced material.

Audience:I think an undergraduate with a solid understanding of material from a first course in abstract algebra (i.e., the chapter on rings--the modules chapter would help, but isn't necessary--from M. Artin's book 'Algebra' is more than sufficient) and some basic point-set topology from an intro real analysis course (or ch1-4 of Munkres) would be sufficient for fully appreciating the material. I think having experience in PS Topology is important for understanding parts of this book well; doing the exercises is possible if you learn it "on the fly," but I hadn't seen Urysohn's Lemma before, and even that caused me some "intuition" hangups; to fully appreciate the material, I would recommend doing a healthy number of problems in topology first.

Material:The material uses concepts from homological algebra, though in a disguised form; students with experience in category theory will find offhanded comments that recast some of the material in that language, but CT is absolutely not essential to understand the material well.It also provides exercises that lead naturally into topics from Algebraic Geometry and Algebraic Number Theory quite readily; a nice set of problems in CH1 walk a student through construction of the Zariski topology, prime spectrum, etc., and some functional properties of morphisms between spectra.Algebraic Number Theory starts showing up after chapter 4 in greater detail, and would lead comfortably into Lang's GTM on ALNT by CH9 (though I only read a bit of Lang, the first chapter felt natural).

The "details left to the reader" are usually reasonably tackled with the tools made available so far, and the book is short enough that one can cover a lot of ideas in a reasonable amount of time; the commentary made by the authors is brief, to the point, and never redundant as far as I can recall, so I consider this a highly efficient book (but not too efficient, it's self contained enough and not uncompromisingly terse).

Exercises:They are quite good, I think.Very few of them follow from "symbol-pushing" or "robotic theorem proving," and usually require some constructive argument.The exercises are mostly chosen to introduce more advanced material, and do a good job in that regard.The longer chapters have 25-30 exercises, and shorter chapters (a few pages) have maybe 10, so there are plenty of problems to do.

Hazards:The material on modules is brisk, the propositions in the first three sections on modules are mostly left without proof; however, the proofs follow from their analogues for rings, and aren't that hard, just be sure to actually do them because they are mentioned only briefly.Also, the book is not typo-free, but this only caused me one major hangup during the semester.After Chapter 3, the proofs are mostly complete, with a spattering of "left to the reader" exercises, which I usually found helpful.

Companion Material:I think Lang's 'Algebra' GTM would make a nice reference for the material on Homological Algebra and other miscellaneous things that come up in the proofs; I remember once a proof in the book required the notion of the adjoint of a matrix over a ring, and so I had to look it up in Lang, and also the basic category theory covered in CH1 of Lang would at least introduce (though in a very rapid way) the "abstract nonsense" mentioned offhandedly here and there. If you have a lot of money, or access to a good library, 'Categories for the Working Mathematician' is a slower and more thorough introduction to that language, and I would recommend at least having a look, though this isn't really central to the material from Commutative Algebra.

A baptism of fire for Algebraic Geometry
Some people believe that, for getting into algebraic geometry (by this I mean Grothendieck-like AG, with schemes and all that), one needs a monolithic training in commutative algebra (something like both volumes of Zariski-Samuel, for example). I disagree. This little book seems to be specially suited to those who want to learn AG. It's a bit too brisk, specially at the beginning - if you don't already have an acquaintance with the basics of groups, rings and ideals, you may run into trouble - but veryilluminating. Masterful choice of topics, great exercises (as a matter of fact, about half the topics of the book, and more specifically the ones that are directly related to AG, are treated in the exercises, some of them quite challenging) - like one said before, it looks like a "chapter 0" of Hartshorne's book on AG. The authors consciously estabilish relations between the commutative algebra and the modern foundations of AG over and over along the way, illuminating both topics.

For the algebra itself, it also gets on well with Rotman's "Galois Theory" and MacDonald's out-of-print introduction to AG, "Algebraic Geometry - Introduction to Schemes", besides being the perfect preamble in commutative algebra to the books of Mumford and Hartshorne. A gem. ... Read more

Product Description
Professor Atiyah is one of the greatest living mathematicians and is well known throughout the mathematical world.He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still at the peak of his career.His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into six volumes, divided thematically for easy reference by individuals interested in a particular subject. This six volume set of the collected works of professor Sir Michael Atiyah includes: Collected Works: Volume 1: Early Papers; General papers Collected Works: Volume 2: K-Theory Collected Works: Volume 3: Index Theory: 1 Collected Works: Volume 4: Index Theory: 2 Collected Works: Volume 5: Gauge Theories New for 2004-Collected Works: Volume 6: Publications since 1987, including his work on skyrmions, "Atiyah's axioms" for topological quantum field theories, monopolies, knots, K-Theory, equivalent problems, point particles, and M-Theory. ... Read more

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World Scientific Series in 20th Century Mathematics - Vol. 9

FIELDS MEDALLISTS' LECTURES
2nd Edition

edited by Sir Michael Atiyah (University of Edinburgh, UK) & Daniel Iagolnitzer (CEA-Saclay, France)

Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field — that of mathematics — and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes.

A list of Fields Medallists and their contributions provides a bird's-eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from Fields Medallists and so provides a highly interesting and varied picture.

The second edition of Fields Medallists' Lectures features additional contributions from the following Medallists: Kunihiko Kodaira (1954), Richard E Borcherds (1998), William T Gowers (1998), Maxim Kontsevich (1998), Curtis T McMullen (1998) and Vladimir Voevodsky (2002). ... Read more

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Deals with an areaof research that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah presents an introduction to Witten's ideas from the mathematical point of view. The book will be essential readingfor all geometers and gauge theorists as an exposition of new and interesting ideas in a rapidly developing area. ... Read more

Customer Reviews (3)

Quick overview of TQFT and knot invariants
This book is a very quick overview of what was known at the time (1989) about the connection between quantum field theory and knot theory. The subject of topological quantum field theories and their connection with knot invariants was at that time just beginning thanks to the work of Edward Witten on the Jones polynomial.

The approach that the author takes in the book is very formal and not for the beginner who is looking to learn about these results. Readers with enough background to read it will no doubt want to read more up-to-date treatments of the subject. The book however does give an indication of how Feynman path integrals are used to define the invariants. The use of these is not rigorous mathematics and this has not changed at the present day.

Good intro to topological quantum field theory
As the above review indicates, this is not an introduction to knot theory.Those interested should first read Colin Adams "The Knot Book" and Kauffman's "Knots and Physics". This instead introduces thereader to the subject of topological quantum field theory, and shows how aFeynmann Path integral approach gives rise to the Jones polynomial knotinvariant (Witten's approach).

The first two chapters are accessible tothose who have had graduate-level abstract algebra and some topology. After that, a good familiarity with quantum field theory and quantizationof symplectic manifolds (although not strictly speaking necessary) makesthe subjects clearer.

Those who are working in Donaldson andSeiberg-Witten approaches to four-dimensional topology will want to readthis book.

NOT a book about KNOTS!
If you are seeking a graduate level discussion on quantum theory and knot theory, this is your book. Definitely not for the amateur user... ... Read more

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Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited. In this book a particular system, describing the interaction of magnetic monopoles, is investigated in detail. The use of new geometrical methods produces a reasonably clear picture of the dynamics for slowly moving monopoles. This picture clarifies the important notion of solitons, which has attracted much attention in recent years. The soliton idea bridges the gap between the concepts of "fields" and "particles," and is here explored in a fully three-dimensional context. While the background and motivation for the work comes from physics, the presentation is mathematical.This book is interdisciplinary and addresses concerns of theoretical physicists interested in elementary particles or general relativity and mathematicians working in analysis or geometry. The interaction between geometry and physics through non-linear partial differential equations is now at a very exciting stage, and the book is a contribution to this activity. ... Read more

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Certain nonlinear optimization problems arise in such areas as the theory of computation, pure and applied probability, and mathematical physics.These problems can be solved through linear methods, providing the usual number system is replaced with one that satisfies the idempotent law.Only recently has a systematic study of idempotency analysis emerged, triggered in part by a workshop organized by Hewlett-Packard's Basic Research Institute in the Mathematical Sciences (BRIMS), which brought together for the first time many leading researchers in the area. This volume, a record of that workshop, includes a variety of contributions, a broad introduction to idempotency, written especially for the book, and a bibliography of the subject. It is the most up-to-date survey currently available of research in this developing area of mathematics; the articles cover both practical and more theoretical considerations, making it essential reading for all workers in the area. ... Read more

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This work is a collection of the original papers presented at an international colloquium concerned with "Vector Bundles on Algebraic Varieties" held at the Tata Institute of Fundamental Research, Bombay, in 1984.The purpose of the colloquium--and of this authoritative volume--is to highlight recent developments in the general area of vector bundles as well as principal bundles on both affine and projective varieties.Among the topics discussed are projective modules and quadratic spaces over general rings. Researchers in mathematics and physics will value this insightful presentation. ... Read more

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These Lecture Notes are an expanded version of the Fermi Lectures I gave at Scuola Normale Superiore in Pisa, the Loeb Lectures at Harvard and the Whittemore Lectures at Yale, in 1978. In all cases I was addressing a mixed audience of mathematicians and physicists and the presentation had to be tailored accordingly. Throughout, I presented the mathematical material in a somewhat unorthodox order, following a pattern which I felt would relate the new techniques to familiar ground for physicists. The main new results presented in the lectures, namely the construction of all multi-istanton solutions of Yang-Mills fields, is the culmination of several years of fruitful interaction between many physicists and mathematicians. The major breakthrough came with the observation by Ward that the complex methods developed by Penrose in his “twistor programme” were ideally suited to the study of the Yang-Mills equations. The instanton problem was then seen to be equivalent to a problem in complex analysis and to one in algebraic geometry. Using the powerful methods of modern algebraic geometry it was not long before the problem was finally solved. ... Read more

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These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use is made of ordinary homology or cohomology theory. In fact, rational cohomology is defined in terms of K-theory. ... Read more

Customer Reviews (1)

Solid introduction;but..
You'd think, at these notorious prices, that the publisher would havemade a solid effort to cast these notes in a more engaging and readable form (i.e. to have them beautifully typeset, and dothem somejusticelong after they were first published), as this still istheauthoritative reference on the subject.

Shame, really.
... Read more

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Paul Adrien Maurice Dirac was one of the founders of quantum theory. He is numbered alongside Newton, Maxwell and Einstein as one of the greatest physicists of all time. Together the lectures in this volume, originally presented on the occasion of the dedication ceremony for a plaque honoringDirac in Westminster Abbey, give a unique insight into the relationship between Dirac's character and his scientific achievements. The text begins with the dedication address given by Stephen Hawking at the ceremony. Then Abraham Pais describes Dirac as a person and his approach to his work. Maurice Jacob explains how Dirac was led to introduce the concept of antimatter, and its central role in modern particle physics and cosmology. This is followed by David Olive's account of the origin and enduring influence of Dirac's work on magnetic monopoles. Finally, Sir Michael Atiyah explains the deep and widespread significance of the Dirac equation in mathematics. ... Read more

Customer Reviews (4)

Marvelous scientific biography
I have ofter wondered about Dirac who I consider the mystery man of quantum physics. He seemed to be totally consumed my the underlying mathematics of physics, at the same time he was so naive about the trifles of human interchanges. This is a concise and illuminating history and I assume, the one that another recent book about Dirac is based. The book clears the clouds.

A Tribute to a Brilliant Man
A man Stephen Hawking calls 'probably the greatest British theoretical physicist since Newton,' has got to be a pretty bright man. Paul Dirac wrote the definitive equasion that joined the Theory of Relativity and Quantum Mechanics. Like Einstein before him, his equasion is very simple to express, very complex in its overall impact. It explains things like how television sets or computers work.

This book is not exactly a biography, but more a tribute to him. It is a series of four talks given about Dirac eleven years after his death, upon the dedication of a plack to him in Westminster Abby.

Abraham Pais describes Dirac's character and his approach to his work.

Maurice Jacob explains not only how and why Dirac was led to introduce the concept of antimatter, but also its central role in modern particle physics and cosmology.

David Olive gives an account of Dirac's work on magnetic monopoles and shows how it has had a profound influence in the development of fundamental physics down to the present day.

Sir Michael Atiyah explains the widespread significance of the Dirac equation in mathematics, its roots in algebra and its implications for geometry and topology.

Paul Dirac - The man and his work
We were ourselves participating in the inauguration of the Paul Dirac memorial in Westminster Abbey. Especially the speeches of Stephan Hawking and Abraham Pais were very touching as they did not only touch Dirac's workbut also his personality and life. He was a very complex person and a greatphysicist. This book reflects that more than others about him.

An insightful recollection of a nearly invisible genius.
After missing the first collection of essays on this brilliant recluse published soon after his death, Ipicked up the present version as soon as I was able. It did not disappoint.

The book is a collection of four lectures given in the subject's honor in 1995 on the tenth anniversary ofhis death. The final lecture and the latter part of the third are highlymathematical and technical and clearly intended for a professionalaudience.

But for me, the first lecture by Abraham Pais is worth thepurchase price alone.Pais was not only a contemporary physicist, but alsoa close friend and as close to a confidant as was possible with such areticent man.

Through Pais' eyes, we see a mathematician turned physicistwho was very different from the man to whom Dirac is most frequentlycompared, Albert Einstein.Einstein was a physicist first, mathematiciansecond.Dirac was exactly the opposite.Einstein became a social andpolitical critic, Dirac never strayed far from his study.The two weresimilar in that both viewed mathematical beauty as primary and both hatedthe modern remake of quantum mechanics (after the initial theory) for verysimilar reasons.This last point was interesting as Dirac was the firstone to combine all his contemporaries' work on this improved quantumphysics into a formal mathematical structure.His resulting equation,called naturally the Dirac equation, is classic Dirac, short and sweet. Itcombined Einsteinian relativity with the new quantum theory and Diracconsidered the result to govern most of physics and all of chemistry. Stephen Hawking, the renowned theoretical physicist, says in hisintroductory memorial address to the book, "If Dirac had patented theequation ... he would have become one of the richest men in the world.Every television set or computer would have paid him royalties."For thiswork, Dirac shared the 1933 Nobel Prize with German physicist ErwinSchroedinger.One unexpected consequence of this work was a mathematicalconclusion that defined a "negative energy" matter (aka antimatter)solution. Simply put, he had discovered a universe noone had imagined.Tothis day, we see the effects of this discovery from medical necessities(PET scan imaging-Positron Emission Tomography) to science fiction (StarTrek).

The quotations and anecdotes Pais chooses are well placed andoften very funny.They are also supported by theimages of Diracportrayed in the sketch on the cover and in the few photographs scatteredthrough the first two lectures.They reveal his character well.He sawmathematical and physical realities so clearly that he simply could notunderstand why others did not see them as well.The photo of him"listening" to future Nobel Laureate Richard Feynman in Maurice Jacob'ssection is one of the most amusing of the collection.

In the secondlecture, Jacob shows the path of discovery and effect on latter dayexperimental physics of antimatter.He goes too long in spots but isgenerally fine. ... Read more

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Professor Atiyah is one of the greatest living mathematicians and is well known throughout the mathematical world. He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still at the peak of his career. His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into six volumes, divided thematically for easy reference by individuals interested in a particular subject. This sixth volume in Michael Atiyah's collected works contains a selection of his publications since 1987, including his work on skyrmions, "Atiyah's axioms" for topological quantum field theories, monopoles, knots, K-theory, equivariant problems, point particles, and M-theory. ... Read more

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One of the greatest mathematicians in the world, Michael Atiyah has earned numerous honors, including a Fields Medal, the mathematical equivalent of the Nobel Prize.While the focus of his work has been in the areas of algebraic geometry and topology, he has also participated in research with theoretical physicists.For the first time, these volumes bring together Atiyah's collected papers--both monographs and collaborative works-- including those dealing with mathematical education and current topics of research such as K-theory and gauge theory.The volumes are organized thematically. They will be of great interest to research mathematicians, theoretical physicists, and graduate students in these areas. ... Read more

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Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: C. A. R. Hoare, Amartya Sen, Michael Atiyah, Andrew Huxley, Martin Rees, Baron Rees of Ludlow, G. E. R. Lloyd, Ekhard Salje, Jean Thomas, Arnold Burgen. Excerpt:Welfare economics Amartya Kumar Sen CH (Bengali : , Ômorto Kumar Shen ) (born 3 November 1933) received the 1998 Nobel Memorial Prize in Economic Sciences for his work on welfare economics . He is currently the Thomas W. Lamont University Professor and Professor of Economics and Philosophy at Harvard University . He is also a fellow of Trinity College at the University of Cambridge , where from 1998 to 2004 he was Master , the first Indian academic to head an Oxbridge college. He is known as "the Conscience of Economics" for his work on famine , human development theory , welfare economics, the underlying mechanisms of poverty , gender inequality , and political liberalism . Amartya Sen's books have been translated into more than thirty languages. He is a trustee of Economists for Peace and Security . He has received over 80 honorary doctorates . In the year 2010, Time magazine listed him among the 100 most influential persons in the world. Biography Personal life Sen hails from a distinguished family from East Bengal (present-day Bangladesh ). His maternal grandfather Kshitimohan Sen was a renowned scholar of medieval Indian literature , an authority on the philosophy of Hinduism . He was a close associate of Rabindranath Tagore in Santiniketan and became the second vice chancellor of Visva-Bharati University . His maternal grandfather was an uncle of the first Chief Election Commissioner of India, Sukumar Sen and the Law Minister of India, Ashoke Kumar Sen . Sen's father was Ashutosh Sen and his mother was Amita Sen, who were born at Manikganj , Dhaka . His father taught chemistry at Dhaka University and became Chair... ... Read more

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Chapters: J. J. Thomson, Amartya Sen, Michael Atiyah, Isaac Barrow, Andrew Huxley, John Whitgift, John Wilkins, Rab Butler, Richard Bentley, William Whewell, Martin Rees, Baron Rees of Ludlow, G. M. Trevelyan, Edgar Adrian, 1st Baron Adrian, Alan Lloyd Hodgkin, John Still, Robert Smith, William Hepworth Thompson, John Pearson, Henry Montagu Butler, Christopher Wordsworth, William Bill, Thomas Nevile, Thomas Postlethwaite, William Lort Mansel, John Arrowsmith, John Richardson, Leonard Mawe, John Hinchliffe, Thomas Hill, John Christopherson, Thomas Comber, Henry Ferne, John Montagu, John Redman, John North, Samuel Brooke, Robert Beaumont. Source: Wikipedia. Pages: 177. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Sir Michael Francis Atiyah, OM, FRS, FRSE (born 22 April 1929) is a British mathematician, and one of the most influential mathematicians of the twentieth century. He grew up in Sudan and Egypt, and spent most of his academic life at Oxford, Cambridge, and the Institute for Advanced Study in Princeton. He has been President of the Royal Society (19901995), Master of Trinity College, Cambridge (19901997), Chancellor of the University of Leicester (19952005), and President of the Royal Society of Edinburgh (20052008). He is currently retired and an honorary professor at the University of Edinburgh. He has had many mathematical collaborations, in particular with Raoul Bott, Friedrich Hirzebruch and Isadore Singer, and his students include Graeme Segal, Nigel Hitchin and Simon Donaldson. With Hirzebruch he founded topological K-theory, a major tool in algebraic topology, that describes the ways in which high dimensional space can be twisted. His best known result is the AtiyahSinger index theorem, proved with Singer in 1963, a fundamental and widely used result which can be used to co...More: http://booksllc.net/?id=20698 ... Read more

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Chapters: Michael Atiyah. Source: Wikipedia. Pages: 922. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Sir Michael Francis Atiyah, OM, FRS, FRSE (born 22 April 1929) is a British mathematician, and one of the most influential mathematicians of the twentieth century. He grew up in Sudan and Egypt, and spent most of his academic life at Oxford, Cambridge, and the Institute for Advanced Study in Princeton. He has been President of the Royal Society (19901995), Master of Trinity College, Cambridge (19901997), Chancellor of the University of Leicester (19952005), and President of the Royal Society of Edinburgh (20052008). He is currently retired and an honorary professor at the University of Edinburgh. He has had many mathematical collaborations, in particular with Raoul Bott, Friedrich Hirzebruch and Isadore Singer, and his students include Graeme Segal, Nigel Hitchin and Simon Donaldson. With Hirzebruch he founded topological K-theory, a major tool in algebraic topology, that describes the ways in which high dimensional space can be twisted. His best known result is the AtiyahSinger index theorem, proved with Singer in 1963, a fundamental and widely used result which can be used to count the number of independent solutions of many important differential equations. More recently he has worked on topics inspired by theoretical physics, such as instantons and monopoles, which are responsible for some subtle corrections in quantum field theory. He has received many awards for his research, including the Fields Medal in 1966, the Copley Medal in 1988, and the Abel Prize in 2004. Great Court of Trinity College, Cambridge, where Atiyah was a student and later MasterAtiyah was born in Hampstead, London, to Lebanese writer Edward Atiyah and Scot Jean Atiyah (née Levens). Patrick Atiyah, professor of ...More: http://booksllc.net/?id=20698 ... Read more

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Chapters: Adam Smith, James Watt, Charles Babbage, Walter Scott, James Clerk Maxwell, Michael Atiyah, Thomas Telford, Fleeming Jenkin, Robert Chambers, Robin Milner, Elmer Rees, Lyon Playfair, 1st Baron Playfair, Norman Borlaug, Elizabeth Loftus, John Randall, William Penney, Baron Penney, Thomas Chalmers, William John Macquorn Rankine, Robert Knox, Alexander Kennedy, Bhagvatsingh of Gondal, George Robertson, Baron Robertson of Port Ellen, Sir John Sinclair, 1st Baronet, Alexander Mccall Smith, Árpád Pusztai, Peter Higgs, James E. Talmage, John Frederick Bateman, Kenneth Calman, Robert Crawford, Graham John Hills, Conrad Hal Waddington, Nathaniel Bowditch, Peter Guthrie Tait, Robert Black, William Charles Wells, James Young, Mstislav Keldysh, David Wilson, Baron Wilson of Tillyorn, Anton Muscatelli, Adam Watson, Neil Maccormick, Thomas Wilson, William Fleetwood Sheppard, John Struthers, John Joseph Haldane, Alan Kennedy, John Bainbridge Webster, Cargill Gilston Knott, John Mcintyre, John Playfair, Tom Devine, James David Forbes, Samuel Brown, William Colin Mackenzie, James W. Black, June Gordon, Marchioness of Aberdeen and Temair, John Tuzo Wilson, John Arbuthnott, 16th Viscount of Arbuthnott, Alan Rodger, Baron Rodger of Earlsferry, Alexander R. Todd, Baron Todd, Stewart Sutherland, Baron Sutherland of Houndwood, John Guthrie Tait, Christopher Smout, Thomas Dick Lauder, Narendra Patel, Baron Patel, George Newlands, Frank Fraser Darling, Joseph Black, Donald Michie, Stephen Salter, Hugh Pennington, George Thomson, Baron Thomson of Monifieth, Derick Thomson, Muir Russell, Kenneth Dover, James Atkinson, Philip Cohen, Derek Barton, John Tedder, 2nd Baron Tedder, Hideki Yukawa, James David Marwick, Oliver O'donovan, Arthur Douglas Merriman, Robert Mond, Juda Hirsch Quastel, Owen Chadwick, Erskine Beveridge, Keith Moffatt, Sir Richard John Griffith, 1st Baronet, H. Christopher Longuet-Higgins, John Mcneill, John Pringle Nichol, C...More: http://booksllc.net/?id=275564 ... Read more

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Chapters: Michael Atiyah, David Attenborough, Richard Attenborough, Lord President of the Council, Tom Mckillop, James Stirling, Sue Townsend, Edgar Adrian, 1st Baron Adrian, George Porter, Charles Wilson, Chris D'lacey, Denys Lasdun, Alan Lloyd Hodgkin, Christopher Hibbert, Frederick Attenborough, Peter Williams, Peter Clark. Source: Wikipedia. Pages: 122. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Sir Michael Francis Atiyah, OM, FRS, FRSE (born 22 April 1929) is a British mathematician, and one of the most influential mathematicians of the twentieth century. He grew up in Sudan and Egypt, and spent most of his academic life at Oxford, Cambridge, and the Institute for Advanced Study in Princeton. He has been President of the Royal Society (19901995), Master of Trinity College, Cambridge (19901997), Chancellor of the University of Leicester (19952005), and President of the Royal Society of Edinburgh (20052008). He is currently retired and an honorary professor at the University of Edinburgh. He has had many mathematical collaborations, in particular with Raoul Bott, Friedrich Hirzebruch and Isadore Singer, and his students include Graeme Segal, Nigel Hitchin and Simon Donaldson. With Hirzebruch he founded topological K-theory, a major tool in algebraic topology, that describes the ways in which high dimensional space can be twisted. His best known result is the AtiyahSinger index theorem, proved with Singer in 1963, a fundamental and widely used result which can be used to count the number of independent solutions of many important differential equations. More recently he has worked on topics inspired by theoretical physics, such as instantons and monopoles, which are responsible for some subtle corrections in quantum field theory. He has received many awards for his research, includin...More: http://booksllc.net/?id=20698 ... Read more

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Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Michael Atiyah, Abel Prize, Jean-Pierre Serre, S. R. Srinivasa Varadhan, John G. Thompson, Peter Lax, Jacques Tits, Lennart Carleson, Isadore Singer. Excerpt:The Abel Prize is an international prize presented annually by the King of Norway to one or more outstanding mathematicians . The prize is named after Norwegian mathematician Niels Henrik Abel (1802 1829). It has often been described as the "mathematician's Nobel" prize and is among the most prestigious awards in mathematics. It comes with a monetary award of six million kroner , which is approx. (2010) 740,000 or US $ 992,000. The Norwegian Academy of Science and Letters annually declares the winner of the Abel Prize after selection by a committee of five international mathematicians. The committee is headed by Kristian Seip . The amount of money that comes with the prize is usually close to US $ 1 million, similar to the Nobel Prize , which is awarded in Sweden and Norway and excludes mathematics . Norway gave the prize an initial funding of NOK 200,000,000 (about US $23,000,000) in 2001. The prize is an attempt at creating publicity for mathematics, making the discipline more prestigious, especially for young people. The prize board has also established an Abel symposium, administered by the Norwegian Mathematical Society . History The prize was first proposed to be part of the 1902 celebration of 100th anniversary of Abel's birth. In 1899, shortly before his death, Sophus Lie proposed establishing an Abel Prize when he learned that Alfred Nobel 's plans for annual prizes, made known in 1897, would not include a prize in mathematics. King Oscar II was willing to finance a mathematics prize in Abel's name, and the mathematicians Ludwig Sylow and Carl Størmer drew up statutes and rules for the proposed prize. However, Li... ... Read more

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Chapters: Robert Bolt, Michael Atiyah, Alan Garner, Mike Atherton, Thomas de Quincey, Ben Kingsley, Robert Powell, William Harrison Ainsworth, Harold Laski, Alexander Oppenheim, Leslie Alcock, T.p. Wiseman, E. T. Whittaker, Donald Adamson, Peter Twinn, John Leech, Chris Addison, John Crawley, Ernest Bramah, Michael Wood, Basil Clarke, Steven Pimlott, John Stopford, Baron Stopford of Fallowfield, Frederick Marquis, 1st Earl of Woolton, Richard Arden, 1st Baron Alvanley, Sydney Chapman, John Bradford, George Coulouris, Michael Greenberg, Derek Senior, Steve Furber, Gilbert Cannan, List of Old Mancunians, Neil Gerrard, William Crabtree, John Ogdon, Nicholas Hytner, Den Dover, Tom Lowe, Harry Bateman, Gordon Hewart, 1st Viscount Hewart, Harold Lever, Baron Lever of Manchester, Humphrey de Trafford, 2nd Baronet, Howard Davies, Jonathan Mestel, Stanley Houghton, D. M. S. Watson, John Charles Polanyi, Frank Lockwood, Brian Clegg, Michael Crick, Tim Samuels, Mark Chilton, John Henry Reynolds, Clifford Cocks, Victor Kiernan, Jeffrey Goldstone, George Garrett, Louis Golding, John Charles Wright, Sir John Leigh, 1st Baronet, Richard Pankhurst, Leslie Yoxall, Ivor Crewe, William Henry Snyder Nickerson, John Richard Packer, A. A. Long, Howard Robinson, William Percival Crozier, David Chapman, Llewellyn Atherley-Jones, Gerald Sharp, Ernest Barker, Humphrey Chetham, Brian Cantor, Basil Wigoder, Reginald Carr, Kenneth Turpin, Bryan Ranft, Stephen Leather, John Bradbury, 1st Baron Bradbury, Jabez Bunting, Ashurst Turner Gilbert, John William Diggle, Benjamin Pollard, William Craven-Ellis, Geoffrey Tordoff, Baron Tordoff, George Benson, William Baker, David Green, George Norman Clark, Greg Morris, Thomas Winstanley, Neville Laski, John Wareing Bardsley, Malcolm J. Williamson, Frank Allaun, Martin Sixsmith, John Rooke Corbett, Matt Fullerty, William Gordon Wheeler, Howard Dawber, John Blake-Reed, Eric Wild, Norman Hampson, David Stuart Walker, ...More: http://booksllc.net/?id=20698 ... Read more