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Calculus One
Calculus is about the very large, the very small and how things change—the surprise is that something seemingly so abstract ends up explaining the real world.This course is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to s…
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Book of Proof
This is a book about how to prove theorems. Until this point in your education, you may have regarded mathematics primarily as a computational discipline. You have learned to solve equations, compute derivatives and integrals, multiply matrices and find determinants; and you have seen how these things can answer practical questions about the real world. In this setting, your primary goal in usi…
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Basic Analysis Introduction to Real Analysis, Version 4.0
This free online textbook (e-book in webspeak) is a one semester course in basic analysis. This book started its life as my lecture notes for Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in the fall semester of 2009, and was later enhanced to teach Math 521 at University of Wisconsin-Madison (UW-Madison). A prerequisite for the course is a basic proof course. It should be p…
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Applied Probability
This is a "first course" in the sense that it presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated int…
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Applied Discrete Structures
In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach and move them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked.The wide range of examples in the text are meant …
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Maverick Mathematician : The Life and Science of J.E. Moyal
There is currently a recognition of the importance of the stories ofindividual scientists (outside the pantheon of giants and leading disciplinefigures) in building the history of science. Such individuals are uniquemen and women of outstanding ability, drawn from different countriesand backgrounds, some of whose personal trajectories may move outsidethe practices and paradigms o…
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- 1 920942 59 9
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- 510.92 MOY m
Abstract Algebra Theory and Applications
This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering and c…
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Spectral Geometry of Partial Differential Operators
The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations.Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this t…
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- 9780429780561,
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Promoting Statistical Practice and Collaboration in Developing Countries
Promoting Statistical Practice and Collaboration in Developing Countries provides new insights into the current issues and opportunities in international statistics education, statistical consulting, and collaboration, particularly in developing countries around the world. The book addresses the topics discussed in individual chapters from the perspectives of the historical context, the present…
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- 9781000594416
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Group Theory for the Standard Model of Particle Physics and Beyond
Based on the author's well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras.
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