Originally published by Springer New York.
2010, XVIII, 579 p. 280 illus., Softcover
ISBN: 978-3-642-03433-6
Due: November 27, 2009
Numerous problems with worked out solutions
Covers advanced topic nonlinear dynamics
Lagrange and Hamilton theory included
New chapter on generalized theory of canonical transformation
New exercises
This textbook Classical Mechanics provides a complete survey on all aspects of classical mechanics in theoretical physics. An enormous number of worked examples and problems show students how to apply the abstract principles to realistic problems.
The textbook covers Newtonian mechanics in rotating coordinate systems, mechanics of systems of point particles, vibrating systems and mechanics of rigid bodies. It thoroughly introduces and explains the Lagrange and Hamilton equations and the Hamilton-Jacobi theory. A large section on nonlinear dynamics and chaotic behavior of systems takes Classical Mechanics to newest development in physics.
The new edition is completely revised and updated. New exercises and new sections in canonical transformation and Hamiltonian theory have been added.
Students in physics (advanced undergraduate/graduate), theoretical engineering and mathematics
Paar, Christof, Pelzl, Jan
2010, XVIII, 372 p., Hardcover
ISBN: 978-3-642-04100-6
Due: November 30, 2009
Cryptography is now ubiquitous ? moving beyond the traditional environments, such as government communications and banking systems, we see cryptographic techniques realized in Web browsers, e-mail programs, cell phones, manufacturing systems, embedded software, smart buildings, cars, and even medical implants. Today's designers need a comprehensive understanding of applied cryptography.
After an introduction to cryptography and data security, the authors explain the main techniques in modern cryptography, with chapters addressing stream ciphers, the Data Encryption Standard (DES) and 3DES, the Advanced Encryption Standard (AES), block ciphers, the RSA cryptosystem, public-key cryptosystems based on the discrete logarithm problem, elliptic-curve cryptography (ECC), digital signatures, hash functions, Message Authentication Codes (MACs), and methods for key establishment, including certificates and public-key infrastructure (PKI). Throughout the book, the authors focus on communicating the essentials and keeping the mathematics to a minimum, and they move quickly from explaining the foundations to describing practical implementations, including recent topics such as lightweight ciphers for RFIDs and mobile devices, and current key-length recommendations.
The authors have considerable experience teaching applied cryptography to engineering and computer science students and to professionals, and they make extensive use of examples, problems, and chapter reviews, while the book’s website offers slides, projects and links to further resources. This is a suitable textbook for graduate and advanced undergraduate courses and also for self-study by engineers.
Engineering and computer science students and to design professionals
Series: Universitext
2010, XVIII, 326 p. 49 illus., Softcover
ISBN: 978-0-387-09638-4
Large selection of exercises
Presents a unique approach to computation theory
Computation theory is a discipline that strives to use mathematical tools and concepts in order to expose the nature of the activity that we call “computation” and to explain a broad range of observed computational phenomena. Why is it harder to perform some computations than others? Are the differences in difficulty that we observe inherent, or are they artifacts of the way we try to perform the computations? Even more basically: how does one reason about such questions?
This book strives to endow upper-level undergraduate students and lower-level graduate students with the conceptual and manipulative tools necessary to make Computation theory part of their professional lives. The author tries to achieve this goal via three stratagems that set this book apart from most other texts on the subject.
(1) The author develops the necessary mathematical concepts and tools from their simplest instances, so that the student has the opportunity to gain operational control over the necessary mathematics.
(2) He organizes the development of the theory around the three “pillars” that give the book its name, so that the student sees computational topics that have the same intellectual origins developed in physical proximity to one another.
(3) He strives to illustrate the “big ideas” that computation theory is built upon with applications of these ideas within “practical” domains that the students have seen elsewhere in their courses, in mathematics, in computer science, and in computer engineering.
Advanced undergrads in math and computer science
*
Series: Trends in Logic , Vol. 29
2010, VI, 189 p., Hardcover
ISBN: 978-90-481-3287-4
Due: November 24, 2009
This book is intended as a preliminary work for a uniform description of language, especially overall organization and architecture of grammar and its connection with semantics. An array of general logical intuitions, concerning the initial requirements for building and interpreting compound expressions, stemming from Frege, Husserl and Ajdukiewicz, is spelled out to form a general framework, allowing for critical evaluation of today’s leading paradigms, such as Generative Grammar, Montague Grammar or Type-Logical Grammar.
The main message of the book is that categorial grammar is not only one of the competing theories of syntax, but ? according to some general features ? is the most plausible framework for logical syntax of natural language. With profound motivation the book proposes an original treatment of quantification and formulates insightful general principles of syntactic analysis.
Any scientist interested in logic/linguistics interface and in philosophy of language, postgraduate students in philosophy and/or linguistics
1. Introduction.- 2. Syntax.- 3. Semantics.- 4. Categorial analysis.- 5. Conclusion.- References.- Index.
Series: Mathematiques et Applications , Vol. 66
2010, X, 296 p., Softcover
ISBN: 978-3-642-04612-4
Due: November 2009
This book addresses the feedback stabilization of the linear reaction-convection-diffusion equation and the linear wave equation. Both interior and boundary control problems are discussed. Methods employed to handle the problems include the eigenfunction expansion, integral transform, perturbed energy method, and optimal control technique. These powerful methods are frequently used for solving control problems of partial differential equations. Unlike the existing advanced control theory books written in an abstract setting, this book presents control theory by means of concrete examples. Therefore, this book is easy to read. Once readers learn about the ideas and methods from these concrete control examples, they can apply them to solve other control problems of partial differential equations.