Operators Books

When wireless radio was invented in the early 1900's, everyone, especially young lads, wanted to be an operator. After all, this was instant messaging by telegraphy and kids then were no different than today's kids. They wanted to yak - although they were more serious about it then. Bert Wilson, all-round "good lad", spends time with his pals on a cruise ship as the radio operator sending and receiving messages from other ships and getting into adventures at sea.

Around this time, the memory of the "Titanic" disaster was fresh in everyone's minds and being the radio operator was a very important and responsible job.

Not exactly the kind of stuff that would interest kids of today, however. Your average kid has a cellphone that would blow the mind of a pre-war teen.

It would seem to me that there are a far greater percentage of sorceresses, witch queens, voodoo women and just plain evil magic using wenches whose names start with Z than there has any right to be on probability.

Or, as the most redoubtable of the Christopher clan puts it :-

"If it were any other thing we were fighting, Nan; anything but this damnable mystic power--I could believe that. But not now!"

...

"I--my thoughts are running wild. I feel the damnable power of Zaava
everywhere, even here. Shaky, I guess, Nan. Good-bye. So long, Dad."

So, an escapade a little out of the ordinary for Operator 5.

This is a good book on the study of fixed points in terms of applying kkm theory. Authors focus on the study of fixed point and related best approximation theory by using the concept of the KKM mapping. This book contains the most classic results on both metric fixed point and topological fixed point results. It is a good reference for people who want to know what kind of fixed point existrence theorems available for their applications in nonlinear analysis and associated subjects.

This book has a lot of Data, but page 171 is missing and has been replaced with page 26 but upside down.

This book, of great interest to both mathematicians and physicists, is a good overview of the analysis and topology of the spin-c Dirac operator and how it is connected with the Lefschetz fixed point formula. Readers familiar with algebraic topology will see the similarities between the case discussed in this book and the one there where the formula involves computing the alternating sum of cohomology groups of a mapping acting on a compact manifold. If the number computed by this sum is non-zero, the mapping has a fixed point.

After a brief overview of what is ahead in the book the author introduces the formalism behind the Dolbeault-Dirac operator. The object of interest is the Dolbeault complex and the existence of Hermitian structures on the tangent bundle and in fibers of holomorphic vector bundles over a given complex analytic manifold. The Dolbeault-Dirac operator is elliptic and has finite-dimensional kernel if the manifold is compact. The goal is to get explicit formulas for the Riemann-Roch number and its generalization, the holomorphic Lefschetz number. When the manifold is not Kahler, the author shows that it is more straightforward to calculate these numbers using the spin-c Dirac operator. This is because the Levi-Civita connection on the tangent bundle does not leave the almost complex structure invariant. The difference of the diagonal heat kernels converges as time approaches 0 from above, and the limit can be calculated. The price one pays for using the spin-c Dirac operator is that its kernel does not have holomorphic sections, and its square only preserves the degrees of the differential forms modulo two.

The main goal of chapter 3 is to introduce the Clifford bundle, with its main properties sketched by the author. Then after a discussion of the spin and spin-c groups, the spin-c Dirac operator is defined in Chapter 6. The author proves that the spin-c Dirac operator is self-adjoint, and its principal symbol equal to the principal symbol of the Dolbeault-Dirac operator.

The author then proves in chapter 6 that the square of the spin-c Dirac operator is equal to the Laplace operator with a zero order term involving curvature expressions. When a spin structure is present, it is also shown that the formulas for the square of the spin-c Dirac operator are equal. When the manifold is Kahler, the square satisfies the Bochner-Kodaira formula. This result can be used to prove the Kodaira vanishing theorem, and the author gives a reference for this.

Taking the square of the spin-c Dirac operator gives the heat diffusion operator, and the author shows how to get the formula for the index using heat kernel methods in the next chapter, and discusses the heat kernel expansion in the chapter after that. These results should be very familiar to physicists working in quantum field theory.

In chapter 9, it is assumed that the heat diffusion operator acts on sections of a vector bundle associated to a principal spin bundle. The "zeroth-order" term which is added to the Laplacian is characterized explicitly. The heat kernel expansion is give and then generalized in chapter 10 to the case where an automorphism acts on the manifold. The Hirzebruch-Riemann-Roch integrand, which is the constant term in the expansion, is calculated in chapter 11, and then generalized to the case where an automorphism is present in chapter 12, via the local Lefschetz fixed point formula.

Finally, in chapter 13, the results are connected to the theory of characteristic classes, and then the (orbifold) spin-c Dirac operator and the corresponding heat kernel studied on orbifolds in chapter 14. The virtual character is computed via the heat kernel method and the Lefschetz formula is proven.

The next chapter is the most interesting in the book and discusses how one can apply these results over a symplectic manifold. The symplectic form has to satisfy an integrality condition that allows it to be a Chern form of a connection of a complex line bundle over the manifold. The author briefly reviews the theory of symplectic geometry, including Hamiltonian group actions and reduction and discusses geometric quantization. If the de Rham cohomology class of the symplectic form is integral, then one can put an almost complex structure on the symplectic manifold, and using the action of a compact and connected Lie group, one can obtain the necessary structures for the definition of the spin-c Dirac operator. The author gives an explicit example using toric varieties. If the almost complex structure is integrable, then the symplectic manifold can be viewed as a projective complex algebraic variety, and studied via algebraic geometry.

Everyone keeps telling Jimmy Christopher, Operator 5, that he is the sharpest tool in the shed. He doesn't get a big head, but does end up getting his family kidnapped a bunch.

Here, the Masked Menace types are using cosmic rays to make a negative ray (anybody think Stan Lee read this?), that is basically an EMP. They inflict this on the USA at regular intervals, creating havoc.

An Oriental supervillain named Loo Kang is also running around, so, of course, Jimmy must indulge in more than one bout of theatrical edged weapon combat with him. Why he is known, and the other guys, the Red Master, etc., are Masked, is not quite clear.

All the bigwigs love Jimmy in the end, for saving their rich arses again, but neglect to give him any cash.

Lucky for them, Operator 5 is such a swell patriotic guy.

3.5 out of 5

JACK - The Desire in His Eyes Melted Her Resistance Like Hot Blue Flame...
Security whiz Jack Fagen woke to the sound of alarm sensors and knew an intruder had entered the room! He tumbled his unexpected visitor to the ground, shocked to discover his defiant prey was a furious, violent goddess - and his new boss! Katrina Sheffield struggled against the delicious chain of explosions Jack's hands set off, but she couldn't deny that his heat branded with wildfire.

His Scoundrel's Voice Stroked Her Senses Like Silk...
She'd fought having Jack troubleshoot her computer's security system, but someone was trying to destroy all she'd worked for - and only this ruthless wanderer could protect her innocence. Spellbound by her surrender, overcome with longing, Jack claimed Kat with abandon while he took aim at the shadows that surrounded her. But could the inferno of her love melt the ice around her fierce god's heart?

This is an okay book but for the price it's not worth it. The information and numerous quotes from various nightclub owners and managers, contained within is semi-helpful. Anyone looking to seriously run and operate their own nightclub should definately find a better book that gets down to the step by step basics. Most of what is presented in this book does little more than give a few ideas. The book itself is also very cheaply manufactured as it seemed to fall apart on it's own after only a short time. This book is okay, but for the price, one can do better

This book is required reading if you plan to take the distribution exam. Other texts go into greater detail with pictures and expanded sections on safety etc but this book has the information needed for taking the dhs exam.

Some definitely good information, but this edition is out of date with current pool questions for examination. (Found study guides from Elkins Institute to be excellent and focused precisely on the pool questions that are covered on the test, can not recommend them more highly.)

As I prepared for the exam, I was fearful of getting a text book as thick as a dictionary. This book is only 316 pages, including the sample tests and index. The author covered every area of the exam with precise information. He covered all the material and gives you a good picture of what to expect for the test.