Release Date: 19 Sep 2016
Print Book ISBN : 9780444637444
Pages: 404
Dimensions: 229 X 152
Written by prominent workers in the area devoted to the theory and application of cognitive computing, this book focuses on its theory and applications, including the use of cognitive computing to manage renewable energy, the environment, and other scarce resources
Comprehensively presents the various aspects of statistical methodology
Discusses a wide variety of diverse applications and recent developments
Contributors are internationally renowned experts in their respective areas
Cognitive Computing: Theory and Applications, written by internationally renowned experts, focuses on cognitive computing and its theory and applications, including the use of cognitive computing to manage renewable energy, the environment, and other scarce resources, machine learning models and algorithms, biometrics, Kernel Based Models for transductive learning, neural networks, graph analytics in cyber security, neural networks, data driven speech recognition, and analytical platforms to study the brain-computer interface.
Statisticians and scientists in various disciplines who use statistical methodology in their work
Date Published: February 2016
format: Paperback
isbn: 9781611974089
Ordinary differential equations (ODEs) and linear algebra are taught in foundational post-calculus mathematics courses in the sciences. This text will help students master both subject areas. Linear algebra is systematically developed first, with an eye towards solving linear systems of ODEs, and over fifteen distinct applications of the theory are explored, including lead poisoning, SIR models and digital filters, not typically seen in textbooks at this level. A large emphasis is also placed on mathematical modeling, with the group projects at the end of each chapter allowing students to fully explore the interaction between the modeling of a system, the solution of the model, and the resulting physical description. The seamless transition between linear algebra and ODEs contained within this one text makes this a valuable resource for students who have had one year of calculus and are taking a first class in ODEs.
Preface
1. Essentials of linear algebra
2. Scalar first-order linear differential equations
3. Systems of first-order linear differential equations
4. Scalar higher-order linear differential equations
5. Discontinuous forcing and the Laplace transform
6. Odds and ends
Bibliography
Index.
December 27, 2016
Textbook - 220 Pages - 75 B/W Illustrations
ISBN 9781138030169
Series: Textbooks in Mathematics
Full proofs are included
Focus on deduction
"Asides" are integrated notes to the student provide overviews and connections
"What you should know" provide chapter reviews
Complete solutions are included in the text
This book presents group theory to students taking a course to transition to advanced mathematics. The goal is to prepare these students for higher level mathematical study, including advanced algebra courses. The book covers the usual material which is found in a first course on groups. The first three chapters are preliminary. Chapter 4 establishes a number of results about integers which will be used freely in the remainder of the book. The book gives a number of examples of groups and subgroups, including permutation groups, dihedral groups and groups of residue classes. The book goes on to study cosets and finishes with the first isomorphism theorem.
1 Proof; 2 Sets; 3 Binary Operations; 4 Integers; 5 Groups; 6 Subgroups; 7 Cyclic groups; 8 Products of groups; 9 Functions; 10 Composition of functions; 11 Isomorphisms; 12 Permutations; 13 Dihedral groups; 14 Cosets; 15 Groups of orders up to 8; 16 Equivalence relations; 17 Quotient groups; 18 Hornomorphisms; 19 The first isomorphism theorem; 20 Answers
December 29, 2016
Textbook - 264 Pages
ISBN 9781498756105
Series: Advances in Applied Mathematics
Features
Reviews linear alebra, differential equations and mutlivariable calculus
Offers complete course in Complex Analysis
Unifying theme: linearity and related spectral methods.
Introduces Hilbert Space
Applications support the theory
This book develops an understanding of sophisticated tools by using them. Complex variable theory is developed. The first three chapters and selected topics make a nice course. This course should appeal to faculty who want an integrated treatment of linear algebra and complex analysis, including applications and also reviewing vector analysis. Students can continue with the Hilbert space chapter and conclude with probability and quantum mechanics. The first five chapters together with the last section of Chapter 7 make an applied complex variables course. Such a course would be ideal for many graduate students.
Chapter 1. Review of linear algebra. Chapter 2. Complex numbers. Chapter 3. Vector Analysis. Chapter 4. Complex analysis. Chapter 5. Transform Methods. Chapter 6. Hilbert Space. Chapter 7. Examples and Applications. Chapter 8. References
December 15, 2016
Textbook - 788 Pages - 76 B/W Illustrations
ISBN 9781498734097
Series: Textbooks in Mathematics
Offers an accessible introduction to Fourier analysis designed to give engineers and scientists a practical understanding
Provides a mathematically solid development of the material so readers can fully comprehend the fundamental principles and use the results and formulas with confidence
Now with more and improved exercises
New topics such as multidimensional analysis, the sampling theorem, Haar wavelets, etc.
Presents a new, extended generalized theory based on the author's own research
Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. This book provides students and practitioners with a practical and mathematically solid introduction to its principles. Principles of Fourier Analysis provides a comprehensive overview of the mathematical theory of Fourier analysis.