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# ðŸ“™ Doing Mathematics: Convention, Subject, Calculation, Analogy by Martin H. Krieger â€” download pdf

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This book discusses some ways of doing mathematical work and the subject matter that is being worked upon and created. It argues that the conventions we adopt, the subject areas we delimit, what we can prove and calculate about the physical world, and the analogies that work for mathematicians - all depend on mathematics, what will work out and what won't. And the mathematics, as it is done, is shaped and supported, or not, by convention, subject matter, calculation, and analogy. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connection between algebra and topology, the stability of matter, the Ising model, and the Langlands Program in number theory and representation theory.

## About book:

## About file:

Security code:

- Author:
**Martin H. Krieger** - Year:
**2003** - Publisher:
**World Scientific Pub Co Inc** - Language:
**English** - ISBN:
**9789812382009,9812382003**

- File size:
**23 057 524** - Format:
**pdf**

Security code:

Learn how to easily do quick mental math calculationsSpeed Math for Kids is your guide to becoming a math genius--even if you have struggled with math in the past. Believe it or not, you have the ability to perform lightning quick calculations that will a...

In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actual...

Our understanding of how the human brain performs mathematical calculations is far from complete. But in recent years there have been many exciting scientific discoveries, some aided by new imaging techniques - which allow us for the first time to watch t...

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Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that s...

This book is an offspring of two beliefs which the authors have held for many years: it is worthwhile for the average person to understand what mathematics is all about; it is impossible to learn much about mathematics without doing mathematics. The first...

Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that s...

Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that s...

Having started reading QFT as an undergrad from textbooks like Mandl and Shaw, I was reluctant to use this one, even while it was the recommended textbook of a graduate course in field theory. The main reason for this was that Peskin and Schroeder (P&S) m...

Investment promotion agencies (IPAs) exist in almost all countries around the world, but there has been no global attempt to determine whether they have been able to significantly influence the investor's decision to locate in one country rather than anot...

Now with a new preface (not in any other edition) that will review the enormous public reception of the relatively obscure string theoryâ€”made possible by this book and an increased number of adherents amongst physicistsâ€”The Elegant Universe "sets a standa...

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A unique book which may be used as a reference work for non-professional conservators who work with excavated materials and as an introduction for those training as archaeological conservators....

This Very Short Introduction is an exciting and non-traditional approach to understanding the terminology, properties, and classification of chemical elements. It traces the history and cultural impact of the elements on humankind, and examines why people...

During the past decade there has been an explosion in computation and information technology. With it have come vast amounts of data in a variety of fields such as medicine, biology, finance, and marketing. The challenge of understanding these data has le...

This is a state-of-the art survey of embankment dams. Drawing on an international authorship, it provides up to date information from many countries on research, environmental considerations, risks, hazards and safety. A major part of the book is devoted ...