Series: Undergraduate Texts in Mathematics
Originally published in the series "Textbooks in Mathematical Sciences"
ISBN: 978-1-4419-1941-0
Due: November 2, 2010
About this textbook
Offers a huge variety of examples and exercises
Lots of MathematicaR code, which is well integrated into the main discussion
This introductory differential equations textbook presents a convenient way for professors to integrate symbolic computing into the study of differential equations and linear algebra. Mathematica provides the necessary computational power and is employed from the very beginning of the text. Each new idea is interactively developed using it.
After first learning about the fundamentals of differential equations and linear algebra, the student is immediately given an opportunity to examine each new concept using Mathematica. All ideas are explored utilizing Mathematica, and though the computer eases the computational burden, the student is encouraged to think about what the computations reveal, how they are consistent with the mathematics, what any conclusions mean, and how they may be applied.
This new edition updates the text to Mathematica 5.0 and offers a more extensive treatment of linear algebra. It has been thoroughly revised and corrected throughout.
Dr. Clay C. Ross taught mathematics at the university level from 1967 through his retirement in May of 2003. He continues to pursue his interests in mathematics, travel and nature photography, still plays in the University orchestra, and serves as organist at his church. Those activities and much reading keep him productively occupied.
Content Level ≫ Lower undergraduate
About Differential Equations.- Linear Algebra.- First-Order Differential Equations.- Applications of First-Order Equations.- Higher-Order Linear Differential Equations.- Applications of Second-Order Equations.- The Laplace Transform.- Higher-Order Differential Equations with Variable Coefficients.- Differential Systems: Theory.- Differential Systems: Applications.- References.- Index.
1st Edition. Softcover version of original hardcover edition 1989, 1989,
X, 160 p. 35 illus., Softcover
ISBN: 978-3-642-08076-0
Due: November 2, 2010
About this book
Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski's original one. This volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability.
Content Level ≫ Research
Related subjects ≫ Number Theory and Discrete Mathematics
Minkowski's Two Theorems.- Linear Inequalities.- Theory of Reduction.- Lecture XV.- References.- Index.
Trends in Logic, Vol. 34
2011, V, 289 p., Hardcover
ISBN: 978-94-007-0319-3
Due: January 2011
This book on methods of cut-elimination contains a thorough and rigorous analysis of reductive cut-elimination methods and an in-depth presentation of the recent method CERES developed by the authors. It includes a detailed complexity analysis and comparison of CERES and of reductive methods. It presents several applications of CERES?to interpolation, fast cut-elimination, generalization of proofs and to the analysis of mathematical proofs. Finally, it provides an extension of CERES to non-classical logics, in particular to finitely-valued logics and to Godel logic.
Content Level ≫ Research
Keywords ≫ CERES - Goedel logic - cut-elimination - proof analysis - resolution
Related subjects ≫ Mathematics - Theoretical Computer Science
1 Preface.- 2 Introduction.- 3 Preliminaries.- 4 Complexity of Cut-Elimination.- 5 Reduction and Elimination.- 6 Cut-Elimination by Resolution.- 7 Extensions of CERES.- 8 Applications of CERES.- 9 CERES in Nonclassical Logics.- 10 Related Research.
Aspects of Mathematics 41
2011. viii, 240 pp. Hardc.
ISBN: 978-3-8348-1442-5
The volume, which arises from an activity organized at the Max Planck Institute, is aimed at presenting different methods and perspectives in the theory of Quantum Groups, bridging between the algebraic, representation theoretic, analytic, and differential-geometric approaches. It also covers recent developments in Noncommutative Geometry, which have close relations to quantization and quantum group symmetries.
- Researchers in the fields of quantum groups, noncommutative geometry, mathematical physics
- Advanced graduate students in mathematics and theoretical physics
This book provides a detailed account of the theory and practice of quantum cryptography. Suitable as the basis for a course in the subject at the graduate level, it crosses the disciplines of physics, mathematics, computer science and engineering. The theoretical and experimental aspects of the subject are derived from first principles, and attention is devoted to the practical development of realistic quantum communications systems. The book also includes a comprehensive analysis of practical quantum cryptography systems implemented in actual physical environments via either free-space or fiber-optic cable quantum channels.
This book will be a valuable resource for graduate students, as well as professional scientists and engineers, who desire an introduction to the field that will enable them to undertake research in quantum cryptography. It will also be a useful reference for researchers who are already active in the field, and for academic faculty members who are teaching courses in quantum information science. In addition, much of the material will be accessible to those senior undergraduates who have the requisite understanding of quantum mechanics.
Introduction
Classical Cryptography
Quantum Cryptography
Effective Secrecy Capacity
System Losses and Loads
Quantum Cryptography in Networks
Throughput Rate Predictions
Experimental Implementations of QKD
Prospectus
Researchers, scientists, graduate students, advanced undergraduate students, and communications engineers in the field of quantum physics.
250pp (approx.) Pub. date: Scheduled Summer 2011
ISBN: 978-981-283-934-3