The older I get, the more I realise the truth of what my expert colleagues told me a long time ago: there is ONE book on analysis, and it's called Whittaker and Watson. Shame on CUP for reprinting it in less than perfectly top quality. I guess they know that people will always buy it. It is a book that starts from the very basics of real and complex analysis, and moves on to the very depths of classical special functions. It's a joy to read and to teach from. No respectable mathematical physicist can afford not to own a copy. And it's about 1/4 the price of a typical, low level, textbook.

I decided to purchase this title about three months ago after hearing lots of praise about it on the internet and wanting to learn the subject, and I can now see that this praise was not exaggerated. A hundred years after its first publication, this classic still remains the definitive general reference in the field of special functions and is a very solid textbook in its own right.

The book is split into two main parts: the first consists of short (but detailed) overviews of the various sub-disciplines of analysis from which results are required to develop later results, and the second part is devoted to developing the theories of the various kinds of special functions. The sheer breadth of topics and material that this book covers is utterly incredible. The major topics covered in the first part of the book are convergence theorems, integration-related theories, series expansions of functions and differential/integral equation theories, each of which are split into two or three chapters. The reader is assumed to be familiar with some of the subjects here and these chapters are intended more as a review, but they are still quite self-contained and will also appeal to those who have not encountered the subjects yet. (I am only 16 and know no more than ODEs and a little real analysis, but I learned some material from this)

The second section, which is really the heart of the book, starts off with a detailed treatment of the fundamental gamma and related functions, followed by a chapter on the famous zeta function and its unusual properties. The book then covers the hypergeometric functions - the focus is on the 1F1 and 2F1 types, being ODE solutions - which are perhaps the cornerstone of this field, followed the special cases of Bessel and Legendre functions. There are a number of ways of developing and teaching the ideas regarding these functions; this book mainly uses the differential equation approach, starting by defining these functions as solutions to ODEs and going from there. There is also a chapter on physics applications (using these functions to solve physics equations), which is sure to please the more applied math readers. The next three chapters are devoted to elliptic functions, covering the theta, Jacobi and Weierstrass types. (one chapter on each) The two remaining chapters are on Mathieu functions and ellipsoidal harmonic functions. Along the way, some additional functions are also sometimes mentioned in the problem sets. (barnes G, appell, and a few others) About the only room for improvement here would be some analyses of named integrals (EI, fresnel, etc.) and inverse functions (lambert W log, inverse elliptics, etc.), and perhaps more on multivariable hypergeometrics, but these things are not a big deal considering how much else appears in here, and I have not really seen any book out there that covers these anyway.

Each chapter has several subsections, usually one on each major theorem or property of the function in question, and these consist of the main discussion and proof, a few corollaries, and a couple of exercises that illustrate the usage of the theorem. At the end of the chapter, some more sets of problems are given; these mostly consist of proving identities and formulas involving the functions, so answers are not needed, but it would be nice if there was a showed-work solutions book available for students. The problems themselves are very well designed and some really require the use of novel methods of proof to obtain the result. The language is a bit in the older style with some unconventional spelling and usage, but it does not detract from the subject material at all (actually, I personally liked this form of writing), and the price is about right.

The only real complaint I have with this book has nothing to do with its content; it is the printing quality. The text font is simply too small in a number of places and also sometimes looks "washed out;" while it is still readable, such a classic gem as this definitely deserves a better effort on the publisher's part. (one of CUP's other works on the same subject, Special Functions by Andrews et al, has much better printing, although is not as good as this in other respects)

For those interested in the field of special functions and looking for something to start off with, A Course of Modern Analysis would be, hands down, my first recommendation. You cannot really do much better than this.

Although I was aware that he'd read other books, and knew much more than is taught here, this was (in my years as his grad student) the only book that I saw Lars Onsager pull off his shelf, well-worn and dog-eared, it was! It's one of the many 'Onsager tales' that circulate among his former students and postdocs that he'd worked through all the problems in this text (just for mental exercise) as undergrad at NTH. One can believe it if one takes the trouble to read his Ph.D. dissertation on weak electrolytes, where a pde is solved exactly by using an 'extremely inventive' method based on complex analysis (the dissertation lies in Yale's Beineke library). I later used the book, along with Stakgold (on boundary-value problems) to teach a first semester grad 'math methods' course to physics and engineering students. I must say that in that time the grad students had no difficulty working the problems, although I certainly did not assign the hardest ones (Tripos...). I usually went as far in series expansions and complex variables as the Mittag-Leffler expansion, spending about a half a semester on W&W before switching to delta functions, boundaty value problems, and Stakgold. Fuch's theorem was covered in the second semester via Bender & Orszag.

Fantastic book for a beginer or advanced person in this craft. It has much information on all aspects of stone tools. If you only buy one book on the subject this should be the one.

Doctor Whittaker, currently teaching at Grinnell College in Central Iowa, is a passionate advocate of stone tool technology methods. He tries to spend each Friday afternnon working with interested students of the flintknapping craft, has a very active role in atl-atl manufacture and contests, and Lord only knows what else! But more important to me, he is a real person, not a glory-hound or scholarly intellectual snob. He is willing to share patiently with his students not just his experience and knowledge, but the tact that allows them to learn flintknapping at their own pace until they recognize their own need for his further tutelage...rare attributes for this day and mind-set. After receiving the book for a Christmas gift,Iwas fortunate enough to witness a demonstration by one of his students held at the Des Moines Lapidary Society Meeting that led me to Professor Whittaker's Friday "knap-ins". Within a few weeks I too was capable of smacking rocks together then poking at them with pieces of deer antler and producing a serviceable facsimile of a stone dart or arrow point. As I continue to observe Dr. Whittaker and several of his more proficient flintknapping guests and students, I am encouraged to keep improving my skill and knowledge, not just about stone toolmaking, but of the early peoples who mastered that and other survival skills thousands of years ago. It is also a link to the field of archaeology/anthropology that has always fascinated me.

The book was well-researched, edited to be easily understood by a larger audience than most of the pedantic, overly technical works of similar nature, and contains little nuggets of wisdom that, upon review, hold the keys to successful flintknapping. I would recommend this work to teachers, students, others of similar interests.

This book is useful in that it teaches you about modern and ancient flintknapping. It helps the reader to understand how flintknapping works and how to do it yourself. It also demonstrates how to identify lithic flakes from an archaeological deposit. A must have for flintknappers and archaeology students interested in the study of ancient lithics.

Years ago, I felt that I needed to get a book on prayer. This book caught my eye, at a Christian Book store. I thought that it was seven steps to effective prayer, ie. fasting, Bible Meditation. But instead it is seven awesome biographies, of inspiring men and women of the Lord. Each biography gives just enough detail, without being boring. The enthusiasm is catching and will inspire you to pursue the Lord to a greater level.

Personally, I was especially inspired by the biographies of David Brainard, Charles Finney, John Hyde and George Muller.

Read this book and be blessed. It is unfortunately out of print, however, it can be sourced as a used book through Amazon.com.

It's a shame that this book is no longer in print. It gives the biographical sketches of George Muller, Hudson Taylor, Praying Hyde, Charles Finney, David Brainerd, Rees Howells, and Madame Guyon, focusing on how their prayer lives enabled them to have fruitful ministries.

If you don't know who these folks are, this book is a good place to begin...when you can find it.

It was personally uplifting to read true accounts of these seven prayer warriors. Absolutely amazing to realize the true miracles that God performed for these individuals. Made me realize that some of the "happenings" in my own life were likely miracles that were lovingly sent.

I just want to share summaries with other costomers

Published six months after Custer's death, Frederick Whittaker's "A Complete Life of General George A. Custer" traces the American icon's life from his boyhood in Ohio through his cadet years at West Point, his Civil War exploits, his impressive rise to the rank of Major General of cavalry in the Army of the Potomac and his transition to the peacetime army. All the foundation elements of the Custer story are stated in Vol. I of Whittaker's book. They are supported by the first person accounts of Custer and other of his peers, and in my opinion, clearly define the reasons for Custer being rightfully considered a genuine, homegrown American hero based on his Civil War exploits alone! [See also: "Custer Victorious"/Urwin; "Custer and His Wolverines"/Longacre; "Touched by Fire"/Barnett] My reading of this book was enriched by the fact that, as a Custer contemporary, Whittaker was not only in touch with the the 19th century ambience, but that he had the added advantages of active service as a trooper in the 6th New York Cavalry and access to Custer's papers, Civil War memoirs and personal anecdotes through his collaboration with Custer's widow, Elizabeth. As a result, the book is replete with knowledgeable commentaries on the customs, mores and military standards of the times. Of special interest to me were the final three chapters devoted to Custer's transition from the wartime to the peacetime army [Book Six, Chapters 1-3]. In these chapters Whittaker gives a clear and perceptive overview of the postwar military structure; the social psychology of the men Custer would come to command; the negative public perception of the postwar enlistee; the deficiencies in the formation of the 7th Cavalry; and the intense political intrigues which seem to surround and infect the military, particularly in peacetime. [For a contemporary example, see "Patton: A Genius for War"/D'Este]. In a clear and interesting fashion Whittaker enunciates the undercurrents which produced the "four D's" (demoralization; disobedience; dipsomania; desertion) which Custer had no part in creating but over which he was expected to exert appropriate control. Whittaker makes it clear that it was Custer's efforts in this direction, coupled with his own naivete, that set the stage for many of his future difficulties with the command structure. Whittaker's "A Complete Life of General George A. Custer" is the spiritual and intellectual great granddaddy of most subsequent writings on the subject. I found that, in spite of its venerability, the book is still productive of provocative thought pieces. As an example, it contains perhaps the first published mention of Custer having been offered a full colonelcy in the 9th Cavalry, a black regiment, which he allegedly refused , ". . .preferring a lower step to a lower grade of service. . ." One may speculate as to how the acceptance of that command might have influenced Custer's subsequent career. In this regard, it is interesting to note that the acceptance of command of a black regiment (the 94th Massachusetts) provided an upward step for Col. Robert Gould Shaw, and Gen. John J. Pershing's early command experience with the all-black 10th Cavalry Regiment (and the resulting sobriquet "Black Jack") may well have called attention to this officer and advanced his career. In spite of Whittaker's lapses into florid prose and blatant hero-worship, I found Volume I of his complete biography of Custer to be emminently readable and informative. I would highly recommend this as a "must-read" for both Custerophile and casual history reader alike.

This is a great book. I also have a copy of Plushow's own book, called My Escape from Donington Hall, and this is what Mr Whittaker used to base his book. It tells of Captain Plushow's adventures in China, fighting the Japanese single handed in a Rumpler Pigeon (Taube). I would advise everyone who likes flying stories to read this one. It's a great story, written by an excellent author (Mr Whittaker) based on Pluschow's own account, which is fascinating. So, if you're into flying and adventure then buy it now.

Besides the unusual and little publicised facts facts of this 1914 siege, 10 military firsts, six of which were aviation firsts were discovered never previously documented intoto. This was the military laboratory that tested every known state-of-the-art weapon (except chemical) and awakened Japan's militarism. Given the name Dragon Master because of the dragon tatoo on his left arm Lt. G.Plueschow flew his Rumpler Taube against nine Japanese Army and Navy aircraft. He was credited (Unofficially) with shooting down a Maurice Farman. Plueschow escaped (under orders) before Tsingtau fell under 13-1 odds. He again escaped Chinese internment and later English internment and fled to Germany 1915. Woven within this literary tapestry are the sights, smells, sounds and suffering of China 80 years ago as it was occupied by "Foreign Devils" from three warring nations, Germany, Japan and Great Britian.

This is an excellent anthology of Whittaker Chambers' writings from his moonlighting as a communist journalist to the period after his fall out with the Reds. He follows his subsequent migration to Time and his days penning for the National Review. If you've read and enjoyed his autobiography, Witness, than you will probably enjoy this book.

For forty years the accepted establishment view of Whittaker Chambers was that of a fat, rumpled weirdo, obsessed, presumably for some kind of degenerate sexual reasons, with the destruction of Alger Hiss, a man who was in every way his better. Even the publication and excellent sales of his extraordinary memoir, Witness, could not erase that caricature from the minds of the elites. I remember a PBS miniseries about the Hiss case, which must date from the late 70's or early 80's (I checked; it looks like it was, fittingly, broadcast in 1984), which portrayed Hiss as a victim, if not an outright innocent. But then the pendulum began to swing :

-First came the 1978 publication of Allen Weinstein's authoritative book, Perjury : The Hiss-Chambers Case, which convinced most of the holdouts of the guilt of Alger Hiss.

-Then, in 1984, Ronald Reagan posthumously awarded Chambers the Presidential Medal of Freedom.

-Five years later came this collection of the journalism of Whittaker Chambers, Ghosts on the Roof, which began the process of restoring his literary reputation.

-The fall of the Soviet Union unleashed a flood of government secrets from both US and Russian files which exposed both the extent and success of Soviet efforts to penetrate the US government, media and Hollywood in the 30's & 40's and peace groups in the subsequent decades.

-In 1995, the VENONA intercepts were revealed, with their decoded messages confirming that the Rosenbergs and Hiss, among others, had been Soviet agents.

-Finally, the publication in 1997 of the first serious biography, Whittaker Chambers : A Biography by Sam Tanenhaus, and the truly bizarre moment on Meet the Press when Clinton CIA nominee Tony Lake could not bring himself to declare Alger Hiss guilty, even fifty years after the fact, forced a major re-examination of Chambers, his legacy, and the legacy of those who were simply unable to accept his charges no matter the evidence (like Lake and like CNN in their Cold War series).

After all of that, it is perhaps now possible to contemplate Chambers the writer in a somewhat more neutral, less partisan, light. This collection includes everything from political essays to reflections on the Hiss case to movie and book reviews to a set of historical essays on Western Culture written for LIFE. Among the best pieces are a review of Finnegans Wake and a tribute to Joyce on his death; a review of the movie version of Grapes of Wrath, which Henry Luce said was the best film review ever published in TIME; a really scathing review of Ayn Rand's Atlas Shrugged; and the prophetic title essay.

...

The outstanding piece though may well be the one that Teachout chose for the title. Ghosts on the Roof ran in TIME on March 5, 1945, shortly after the Yalta Conference, when the Allies were still basking in the glow of having cooperated to defeat Hitler. With admirable foresight, Chambers pricked this gonfalon bubble. The essay fantasizes that the ghosts of Nicholas and Alexandra and the other murdered Romanovs descend upon the roof of the Livadia Palace at Yalta to watch the goings-on. There they meet Clio, the Muse of History, who has likewise come to observe the Big Three Conference. When History expresses her surprise at finding the Romanovs there, they reveal that they have become fans of Stalin and have converted to Marxism, actually Stalinism. The Tsar and Tsarina explain that Stalin is achieving conquests which even Peter the Great never dared and now come Britain and America as virtual supplicants, unwittingly giving him the opportunity to grab more land in the East in exchange for entering the war with Japan. They share the Marxist belief that in the years following the war, England and the U.S. will collapse because of the internal contradictions of capitalism. Clio tells them that this will not happen, that the years to come will see a conflict between two opposing faiths, leading to "more wars, more revolutions, greater proscriptions, bloodshed and human misery." The Tsarina asks why she does not intervene to avert this, and Clio answers that humans never learn from History and :

Besides, I must leave something for my sister, Melpomene to work on.

Melpomene, Clio's sister, is the Muse of Tragedy. Here, years before he became embroiled in the Hiss case, long before the Cold War started, before the Atomic Age had even dawned, is Whittaker Chambers warning the West of the future it faces and forecasting it uncannily.

These essays, and the many others included here, make for really interesting reading. They reveal Chambers to be both a gifted and a prescient writer. His opinions on the Arts stand up extremely well. His assessments of political situations were as much forty years ahead of their time; particularly perceptive in this regard is one ("Soviet Strategy in the Middle East" [National Review October 26, 1957]) in which he predicted how the Soviets would foster Arab radicalism in the Middle East. All in all, the book serves to add depth and heft to a man who spent almost half a century as a caricature, who was more an undeserving victim of Anti-Anti-Communism than any of those who were blacklisted were "victims" of Anti-Communism. It is altogether fitting that the 20th Century, which Chambers did so much to redeem, ended with his reputation ascendant and those of his opponents in rapid decline.

GRADE : A

First I quite agree with the reviewer jnhrtmn... , so I won't repeat what he said. Physics in universities seems to be taught with little real reference to the history-- as if quantum mechanics and relativity sprung brilliantly out of someone's mind fresh out of the twentieth century. This book shows the importance of history in the development of physics-- and anyone seriously studying physics should read this book, to see how much the ideas of physics have evolved and been influenced by the past. Much of it requires a good math background--a knowledge of calculus is needed for much of it. It is sad that it is out of print--a publisher needs to make this available.

I am an amateur physicist that thinks modern physics is more of a belief system than a science. This book is the most objective account of why science is where it is today. It is raw and readable. It leads you through the evidence as it happened. Hundreds of references. Meaty stuff, not just fluff for a book. You want insight into science you never had before, this book is a very good step.

I really don't think we can put Hugh Nibley into a book, much less a box. But this book comes in third, after "Approaching Zion," and "Temple and Cosmos: Beyond This Ignorant Present."

This book covers the Joseph Smith ground, and deals with the long and noble tradition of telling tales about Joseph Smith. It is really an omnibus reprint of several other books.

"No Ma'am, That's Not History." This is Nibley's famous response to Fawn Brodie's "No Man Knows My History." This book, or booklet, can be read in one setting, but it is a sound and full refutation of Brodie's rather overrated book. I have read it, and, no, it is not a slam-dunk. Aside from its original purpose of outlining Brodie's absurdities, it also demonstrates Nibley's methodology in responding to the critics: he has the primary sources in order, and uses a scathing and well-honed logic to lustrate his points. This mini-book is a great gateway for Nibley novices.

"A Note on F. M. Brodie." This article rounds out Nibley's discussion on Brodie, and serves as a coda and outro to the previous section.

"Censoring the Joseph Smith Story." This is one of the funniest history you will ever read. Nibley runs among the footnotes of Anti-Mormon literature, and illustrates how the stories of Joseph Smith have been embellishes and exaggerated over time, as one anti-Mormon critic mindlessly quotes another, without ever reading the primary documents. It is a good illustration of not only the perils of plagiarism, but of the childhood game of "Telephone."

"The Myth Makers." This book is the transcript of the celebrated court case of "Joseph Smith v. The World." We Nibley's Shakespearian background shines through in this acidic and stinging satire. It reads as a play, or a Socratic dialogue, where every one of Smith's critics since Dogberry takes the stand against Joseph Smith. The key, and the very subtle point to this book, is that Joseph Smith never takes the stand.

"Sounding Brass." This book deals specifically about the tall tales surrounding Brigham Young, and his plural wives. It deals with the later anti-Mormon literature, especially about the book "Wife No. 19." The crown jewel of this book is Part 3: How To Write An anti-Mormon Book (A Handbook for Beginners). Nibley lists the 35 rules essential for any and every anti-Mormon book. I think Rule 17: "In Place of Evidence, Use Rhetoric!" (p. 495ff) should be memorized by every undergrad everywhere, since we fall prey to rhetoric so easily. One I understood this rule, my mind was reborn into a whole new and better organ. There is a difference between rhetoric and evidence. Rhetoric is just a series of arguments, rationales, ratiocinations, and philosophies without any evidence, data, facts, or proof. Confusing evidence and rhetoric is confusing a cookie with a cookie sheet. Your jaw will thank you for choosing the right one. This one paragraph alone justifies the books existence, and makes it worth our hard-earned dollar.

This book is a great gift for anyone curious about anti-Mormon literature, or if you yourself are curious about an intelligent response, or weather there is any intelligence at all in this ever popular genre of books.

In this thorough book, Nibley reveals the real stories behind criticism of the LDS (Mormon) Church. Once you understand where some of these tales originated, the weak foundations of the most frequently-heard attacks on the Church become crystal clear, and sometimes sadly laughable. Nibley's dry humor is delightful and his enthusiasm is contagious. This book is a MUST-read if you are interested in the LDS Church. It is particularly important if you've been misled by the critics. Read this book and check Nibley's historical sources before you believe what you read elsewhere.

The bomb illustrates one boys struggle to save his people and his island from the Americans. They have asked to test their newest invention of warfare: the atom bomb. While growing up and becoming part of Bikini-Atoll's government, he must face a great deal of decision, loss and pain. I recommend this book to people from the ages of 13 to adult. No matter the age, it will touch your heart.

Jim Whittaker began his life with only one real difference from most of us and that is that he had an identical twin. However from almost the day of his birth onward, his life accelerated beyond what is normal for most of us.
Mr. Whittaker enjoyed some luck in his life, particularly his ability to meet and mingle with some very powerful, influential and skilled individuals. He also enjoyed the benefit of his own hard work - from his days at REI to his climb on Everest and his efforts to put Americans on top of K2. He also had his share of bad luck, a divorce and a bankruptcy. This makes this story so much more entertaining because it is real, it is personal, it is something that could have happened to almost anyone with the drive and love of the mountains that Mr. Whittaker possessed.
The accounts of his alpine adventures, whether on Mt. Rainier or Mt. Everest or K2, are gripping, well written and harsh reminders of why mountaineering is not a sport for the faint of heart. Jim lost many of his close friends through out his life and the mountains claimed many of them. Despite any set back however, he pushed onward. This drive doesn't appear to be the result of a lust for glory or wealth but simply an extension of the man himself. In my opinion, his greatest successes are not the mountains he climbed but the peace and love of nature, family, and the mountains that he has helped others find.
This book is well written and easy to read and the pictures included are breathtaking (I wish there were more!). Reading this text will almost assuredly add a name to your list of personal heroes.

One of the truly great climbing books! The work describes this American Hero's life philosophy of learning and truly living. It describes how to take on an acceptable amount of risk and gain from the experience. I found valuable Jim's philosophy (who I met and idolized as a kid) translated into a world well beyond the mountain - into his political friendship with the Kennedy's, his professional life at REI and Magellan GPS; as well as his efforts to foster nothing short of world peace. I kept finding myself wondering if there was anything Jim had not taken on!

The writing is considerably less melodramatic than a great number of climbing/travel logs, which is refreshing. Straightforward and clear, even when discussing the inevitable loss of life involved in mountaineering.

A memorable quote follows: "It's about making the most of every moment, about stretching your own boundaries, about being willing to learn constantly, and putting your self in situations where learning is possible - sometimes even critical to your survival. Being out on the edge, with every-thing at risk, is where you learn-and grow-the most.

An incredible book. Not because of his achievments (which are very impressive), but because he shares his wisdom regarding life. This comes from a man who's seen it all, and has seen life's ups and downs. Highly recommended.