The author's primary objective in this book is to discuss those aspects of bifurcation theory which are particularly meaningful to differential equations. To acccomplish this objective and to make the book accessible to a wider audience, much of the relevant background material from nonlinear functional analysis and the qualitative theory of differential equations is presented in detail. Two distinct aspects of bifurcation theory are discussed - static and dynamic. Static bifurcation theory is concerned with the changes that occur in the structure of the set of zeros of a function as parameters in the function are varied. Dynamic bifurcation theory is concerned with the changes that occur in the structure of the limit sets of solutions of differential equations as parameters in the vector field are varied. This second printing contains extensive corrections and revisions throughout the book.
In today's extensively wired world, cryptology is vital for guarding communication channels, databases, and software from intruders. Increased processing and communications speed, rapidly broadening access and multiplying storage capacity tend to make systems less secure over time, and security becomes a race against the relentless creativity of the unscrupulous. The revised and extended third edition of this classic reference work on cryptology offers a wealth of new technical and biographical details. The book presupposes only elementary mathematical knowledge. Spiced with exciting, amusing, and sometimes personal accounts from the history of cryptology, it will interest general a broad readership.
The Heinz Nixdorf Museum Forum (HNF) is the world’s largest c- puter museum and is dedicated to portraying the past, present and future of information technology. In the “Year of Informatics 2006” the HNF was particularly keen to examine the history of this still quite young discipline. The short-lived nature of information technologies means that individuals, inventions, devices, institutes and companies“age” more rapidly than in many other specialties. And in the nature of things the group of computer pioneers from the early days is growing smaller all the time. To supplement a planned new exhibit on “Software and Inform- ics” at the HNF, the idea arose of recording the history of informatics in an accompanying publication. Mysearchforsuitablesourcesandauthorsveryquickly cameupwith the right answer, the very rst name in Germany: Friedrich L. Bauer, Professor Emeritus of Mathematics at the TU in Munich, one of the - thers of informatics in Germany and for decades the indefatigable author of the“Historical Notes” column of the journal Informatik Spektrum. Friedrich L. Bauer was already the author of two works on the history of informatics, published in different decades and in different books. Both of them are notable for their knowledgeable, extremely comp- hensive and yet compact style. My obvious course was to motivate this author to amalgamate, supplement and illustrate his previous work.
In today's unsafe and increasingly wired world cryptology plays a vital role in protecting communication channels, databases, and software from unwanted intruders. This revised and extended third edition of the classic reference work on cryptology now contains many new technical and biographical details. The first part treats secret codes and their uses - cryptography. The second part deals with the process of covertly decrypting a secret code - cryptanalysis, where particular advice on assessing methods is given. The book presupposes only elementary mathematical knowledge. Spiced with a wealth of exciting, amusing, and sometimes personal stories from the history of cryptology, it will also interest general readers.
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