Hardback
September 30, 2018 Forthcoming
Reference - 546 Pages
ISBN 9781315892009 - CAT# K347429
No other work offers such a unique blend of classical results and modern developments
Concisely presents the relevant definitions and algorithms of Lie group analysis of differential equations required by applied scientists and engineers
Provides a comprehensive listing of applications of Lie groups to differential equations which frequently occur in engineering and physical sciences
Presented in an easy-to-follow, applications-oriented style
Volume 2 offers a unique blend of classical results of Sophus Lie with new, modern developments and numerous applications which span a period of more than 100 years. As a result, this reference is up to date, with the latest information on the group theoretic methods used frequently in mathematical physics and engineering.Volume 2 is divided into three parts. Part A focuses on relevant definitions, main algorithms, group classification schemes for partial differential equations, and multifaceted possibilities offered by Lie group theoretic philosophy. Part B contains the group analysis of a variety of mathematical models for diverse natural phenomena. It tabulates symmetry groups and solutions for linear equations of mathematical physics, classical field theory, viscous and non-Newtonian fluids, boundary layer problems, Earth sciences, elasticity, plasticity, plasma theory (Vlasov-Maxwell equations), and nonlinear optics and acoustics. Part C offers an English translation of Sophus Lie's fundamental paper on the group classification and invariant solutions of linear second-order equations with two independent variables. This will serve as a concise, practical guide to the group analysis of partial differential equations.
Apparatus of Group Analysis: 1 Infinitesimal Calculus of Symmetry Groups 2. Group Classification of Differential Equations 3. Invariance Principle in Linear Second-Order Partial Differential Equations 4. Huygens' Principle: Conformal Invariance, Darboux Transformation, and Coxeter Groups 5. Applications to Celestial Mechanics and Astrophysics 6. Utilization of Vessiot-Guldberg-Lie Algebra for Integration of Nonlinear Equations- Body of Results 7. Symmetry Groups and Fundamental Solutions for Linear Equations of Mathematical Physics 8. Classical Field Theory 9. Earth Sciences 10. Group Invariant and Numerical Solutions for Glaciomechanics and Related Problems 11. Incompressible Fluids 12. Boundary Layer Problems 13. Non-Newtonian Fluids 14. Elasticity and Plasticity 15. Magnetohydrodynamics 16. Plasma Theory- Vlasov-Maxwell and Related Equations 17. Nonlinear Optics and Acoustics 18. Liquid Crystals 19. Classical Heritage- On Integration of a Class of Linear Partial Differential Equations by Means of Definite Integrals
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Hardback
October 5, 2018 Forthcoming
Textbook - 490 Pages - 43 B/W Illustrations
ISBN 9781138047624 - CAT# K33043
Series: Chapman & Hall/CRC Cryptography and Network Security Series
Requires no prior programming knowledge or background in college-level mathematics
Illustrates the importance of cryptology in cultural and historical contexts, including the Enigma machine, Turing bombe, and Navajo code
Gives straightforward explanations of the Advanced Encryption Standard, public-key ciphers, and message authentication
Describes the implementation and cryptanalysis of classical ciphers, such as substitution, transposition, shift, affine, Alberti, Vigenere, and Hill
Cryptology: Classical and Modern, Second Edition proficiently introduces readers to the fascinating field of cryptology. The book covers classical methods including substitution, transposition, Alberti, Vigenere, and Hill ciphers. It also includes coverage of the Enigma machine, Turing bombe, and Navajo code. Additionally, the book presents modern methods like RSA, ElGamal, and stream ciphers, as well as the Diffie-Hellman key exchange and Advanced Encryption Standard. When possible, the book details methods for breaking both classical and modern methods.
The new edition expands upon the material from the first edition which was oriented for students in non-technical fields. At the same time, the second edition supplements this material with new content that serves students in more technical fields as well. Thus, the second edition can be fully utilized by both technical and non-technical students at all levels of study. The authors include a wealth of material for a one-semester cryptology course, and research exercises that can be used for supplemental projects. Hints and answers to selected exercises are found at the end of the book.
Introduction to Cryptology; Substitution Ciphers; Transposition Ciphers; The Enigma Machine and Navajo Code; Shift and Affine Ciphers; Alberti and Vigenere Ciphers; Hill Ciphers; RSA Ciphers; ElGamal Ciphers; The Advanced Encryption Standard; Message Authentication; Bibliography; Hints or Answers to Selected Exercises; Index
Hardback
November 9, 2018 Forthcoming
Textbook - 575 Pages - 905 B/W Illustrations
ISBN 9781482249484 - CAT# K23723
Series: Textbooks in Mathematics
Offers a comprehensive but accessible applications-driven treatment of graph theory suitable for a variety of graduate and advanced undergraduate courses
Expands coverage of certain topics (e.g., applications of graph coloring and tree-decompositions)
Provides better coverage of algorithms and algebraic and topological graph theory than any other text
Contains numerous illustrations
Incorporates several levels of carefully designed exercises that promote students' retention and sharpen their problem-solving skills
This book takes a comprehensive approach to graph theory that integrates careful exposition of classical developments with emerging methods, models, and practical needs. The authorsf unparalleled treatment provides a text ideal for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology.
INTRODUCTION to GRAPH MODELS. STRUCTURE and REPRESENTATION. TREES. SPANNING TREES. CONNECTIVITY. Eulerian Trails and Tours. PLANARITY and KURATOWSKI'S THEOREM. GRAPH COLORINGS. SPECIAL DIGRAPH MODELS. NETWORK FLOWS and APPLICATIONS. GRAPH COLORINGS and SYMMETRY.
Series:De Gruyter Textbook
2018To be published: October 2018
ISBN 978-3-11-052150-4
An exciting collection of fundamental results in geometry and discrete mathematics
Covers geometry, combinatorics, and probability theory
Aimed at lecturers, teachers, and students of mathematics, and at all mathematically interested
This two-volume set collects and presents the fundamentals of mathematics in an exciting and pedagogically sound way. The present volume examines the most important basic results in geometry and discrete mathematics, along with their proofs, and also their history.
Approx. xvi, 300 pagesLanguage: EnglishType of Publication: TextbookKeyword(s):
Subjects
Mathematics > Geometry and Topology
Mathematics > Discrete Mathematics
Mathematics > Probability and Statistics
Series:De Gruyter Series in Nonlinear Analysis and Applications 28
To be published: October 2018
ISBN 978-3-11-060876-2
An authoritative monograph on the analysis of strongly-coupled systems
Presents results on the solvability and regularity of solutions in the system case
Of interest to researchers and graduate students working in partial differential equations
Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial different equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifiying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory.
Approx. xii, 250 pagesLanguage: EnglishType of Publication: MonographKeyword(s):
Subjects
Mathematics > Analysis
Mathematics > Differential Equations and Dynamical Systems
Series:Radon Series on Computational and Applied Mathematics
To be published: December 2018
ISBN 978-3-11-056085-5
An overview of the theory and applications of the Radon transform
Includes contributions by world-leading experts
Of interest to a variety of applied mathematicians working in inverse problems, imaging, numerical analysis, etc.
In 1917, Johann Radon published his fundamental work, where he introduced what is now called the Radon transform. Including important contributions by several experts, this book reports on ground-breaking developments related to the Radon transform throughout these years, and also discusses novel mathematical research topics and applications for the next century.
Approx. xii, 350 pagesLanguage: EnglishType of Publication: MonographKeyword(s):
Subjects
Mathematics > Analysis
Mathematics > Numerical and Computational Mathematics
Mathematics > Applied Mathematics