دانلود کتاب Teaching and Research in Mathematics: A Guide with Applications to Industry

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Cover
Half Title
Title Page
Copyright Page
Dedication
Table of Contents
Preface
Biography
Introduction
Part I Teaching and Conducting Research
1. Teaching
2. Research and the Publication Process
3. Conferences and Collaborations
4. Transition to Reading andWriting Research Papers
4.1 Common words and Expressions for a Mathematics Research Paper
5. Preparing Documents in Latex
5.1 The Beginning Code
5.2 Typing the Main Content
5.3 Inserting Pictures
5.4 References
5.5 Dissertations
5.6 Beamer for Presentations
Part II Modern Applications in Industry
6. Schrödinger Equation in Laser Technology
6.1 Schrödinger Equation Modeling Laser Propagation
6.2 Optimal Control
6.3 Phase Screens
6.4 Appendix
7. PageRank in Google
7.1 Spectrum of the Google Matrix
7.2 Computing the PageRank
7.3 Improving the PageRank
7.4 Appendix
7.4.1 Stochastic Processes
7.4.2 Markov Process and Markov Chain
7.4.3 Properties of Markov Chains
7.4.4 Types of Markov Chains
7.4.5 Computing the Transition Probabilities
7.4.6 Stationary Probability Distribution
8. Stochastic Navier-Stokes Equations in Fluids
8.1 Stochastic Navier Stokes Equation
8.2 Large Deviations
8.3 Large Deviations for Stochastic Navier Stokes Equation
8.4 Appendix
8.4.1 Brownian Motion, Lévy Process and RandomWalk
8.4.2 Applications of large deviations
Index