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Mathematical Circles Squared: A Third Collection of Mathematical Stories and Anecdotes
20 May 2011

Mathematical Circles Squared: A Third Collection of Mathematical Stories and Anecdotes

Mathematical Circles Squared: A Third Collection of Mathematical Stories and Anecdotes

1972 | 186 | ISBN: 0871501546 | DJVU | 2 Mb

Here is a third trip around the mathematical circle, and, at least for some time, it must be the last such trip. I cannot deny that it has been fun making these trips, but there are so many other, and more serious, things I wish to write that it is high time I set the mathematical stories and anecdotes asideŚwith somewhat more than half of my collection now in print. Except for the first quadrant and the tail end of the fourth quadrant, the items in this third set of stories are classified by geography, in contrast to the classification by chronology in In Mathematical Circles and by subject matter in Mathematical Circles Revisited. ...
Return to Mathematical Circles: A Fifth Collection of Mathematical Stories and Anecdotes
29 May 2011

Return to Mathematical Circles: A Fifth Collection of Mathematical Stories and Anecdotes

Return to Mathematical Circles: A Fifth Collection of Mathematical Stories and Anecdotes

1988 | 192 | ISBN: 0871501058 | DJVU | 2 Mb

After receiving letters of outcry when he tried to end his popular "Mathematical Circles" series, Howard Eves put together this "Return to Mathematical Circles", another collection of mathematical tales. From the story of Newton's original bed to a remarkable factorization, Eve's second collection of 360 stories will help you give your students a new understanding of mathematics' place in history and in their everyday lives. This book will undoubtedly be as as useful to teachers at all levels of mathematics as have been the previous "Circle" books. ...
A Remarkable Collection of Babylonian Mathematical Texts
27 July 2010

A Remarkable Collection of Babylonian Mathematical Texts
A Remarkable Collection of Babylonian Mathematical Texts
Springer 2007 | 536 | ISBN: 0387345434 | PDF | 11
The book analyzes the mathematical tablets which are in the possession of a private collector, Martin Schoyen. This collection contains all sorts of tablets, some similar to classical ones but also others with fascinating new material. Here the author translates their mathematical content, compares it with previous known material, then evaluates the period of the tablet and its purpose. This allows the author to provide new insights into the interpretation of some classical tablets, as for example Plimpton 322 which has an exclusive appendix. What makes this book so unique is the light being shed on Babylonian mathematics. For instance, new evidence of Babylonian familiarity with sophisticated mathematical objects is provided, including the knowledge of the three dimensional Pythagorean equation and the familiarity with the geometry of the icosahedron is new and unexpected. The author is a master of analysis of the errors found in the tablets. It is well known that computational errors in the tablets are revealing of the algorithms employed in the computations. The author exploits with mastery this clever technique to gain new insight in the mathematical reasoning behind the content of the tablets. From the analysis it becomes increasingly clear that Babylonians were outstanding calculators, probably only comparable in modern times with exhibition genius calculators. For example, it appears that schoolboys were familiar with the multiplication tables at least up to 25!. He also gives numerous geometrical possible explanations and interpretations of the tablets. Another very important finding is the use of the zero notation in novel contexts and periods. The book is very carefully written and organized, the tablets are classified according to their mathematical content and purpose, while useful drawings and pictures are provided for the most interesting tablets. The author makes a great effort to make the material accessible to both assyriologists and mathematicians. There is an introduction with basic background on babylonian mathematics and on numerous occasions the author reviews basic mathematical material ...
Mathematical Olympiad Challenges, Second Edition
21 January 2011

Mathematical Olympiad Challenges, Second Edition

Mathematical Olympiad Challenges, Second Edition by Titu Andreescu, Razvan Gelca

Birkhauser | 2009 | ISBN: 0817645284 | 320 pages | PDF | 14 MB

This significantly revised and expanded second edition of "Mathematical Olympiad Challenges" is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately.
University of Colorado: Introduction to mathematical analysis - Modern Analysis I
5 July 2011

University of Colorado: Introduction to mathematical analysis - Modern Analysis I

University of Colorado: Introduction to mathematical analysis - Modern Analysis I
Language: English | 640x360 | H264 - 1064Kbps | 14.99fps | AAC - 128Kbps | 3.52 GB
Genre: eLearning

Introduction to mathematical analysis of Rinaldo Skinatsi the University of Colorado at Colorado Springs. This is Modern Analysis Vol 1.
University of Colorado: Introduction to mathematical analysis - Modern Analysis I
6 July 2011

University of Colorado: Introduction to mathematical analysis - Modern Analysis I

University of Colorado: Introduction to mathematical analysis - Modern Analysis I
Genre: eLearning
Language: English
H264 - 1064Kbps | 640x360 | 14.99fps | AAC - 128Kbps | 3.52 GB

Introduction to mathematical analysis of Rinaldo Skinatsi the University of Colorado at Colorado Springs. This is Modern Analysis Vol 1.
Mathematical Physiology
12 December 2010

Mathematical Physiology

Mathematical Physiology

1998 | 792 | ISBN: 0387983813 | PDF | 8 Mb

Mathematical Physiology provides an introduction into physiology using the tools and perspectives of mathematical modeling and analysis. It describes ways in which mathematical theory may be used to give insights into physiological questions and how physiological questions can in turn lead to new mathematical problems. The book is divided into two parts, the first dealing with the fundamental principles of cell physiology, and the second with the physiology of systems. In the first part, after an introduction to basic biochemistry and enzyme reactions, the authors discuss volume control, the membrane potential, ionic flow through channels, excitability, calcium dynamics, and electrical bursting. This first part concludes with spatial aspects such as synaptic transmission, gap junctions, the linear cable equation, nonlinear waves propagation in neurons, and calcium waves. In the second part, the human body is studied piece by piece, beginning with an introduction to electrocardiology, followed by the physiology of the circulatory system, blood, muscle, hormones, and kidneys. Finally, the authors examine the digestive system and the visual system, ending with the inner ear. This book will be of interest to researchers, to graduate students and advanced undergraduate students in applied mathematics who wish to learn how to build and analyze mathematical models and to become familiar with new areas of application, as well as to physiologists interested in learning about theoretical approaches to their work. The inclusion of numerous exercises and models could be used to add further interest and challenge to traditional courses taught by applied mathematicians, bioengineers, and physiologists. ...
Determinants and Their Applications in Mathematical Physics (Applied Mathematical Sciences)
8 November 2010

Determinants and Their Applications in Mathematical Physics (Applied Mathematical Sciences)

Determinants and Their Applications in Mathematical Physics (Applied Mathematical Sciences)

Springer 1998 | 396 | ISBN: 0387985581 | PDF | 2 Mb

This book is unique. It contains a detailed account of all important relations in the analytic theory of determinants from the classical work of Laplace, Cauchy and Jacobi in the 18th and 19th centuries to the most recent 20th century developments. Several contributions have never been published before. The first five chapters are purely mathematical in nature and make extensive use of the column vector notation and scaled cofactors. They contain a number of important relations involving derivatives which prove beyond a doubt that the theory of determinants has emerged from the confines of classical algebra into the brighter world of analysis. The whole of Chapter 4 is devoted to particular determinants including alternants, Wronskians and Hankelians. The contents of Chapter 5 include the Cusick and Matsuno identities. Chapter 6 is devoted to the verifications of the known determinantal solutions of several nonlinear equations which arise in three branches of mathematical physics, namely lattice, soliton and relativity theory. They include the KdV, Toda and Einstein equations. The solutions are verified by applying theorems established in earlier chapters and in the extensive appendix. The book ends with an extensive bibliography and an index. Mathematicians, physicists and engineers who wish to become acquainted with modern developments in the analytic theory of determinants will find the book indispensable. ...
Mathematical Programming with Data Perturbations
6 June 2011

Mathematical Programming with Data Perturbations

Mathematical Programming with Data Perturbations

1998 | 464 | ISBN: 0824700597 | DJVU | 5 Mb

Revisiting classical theory within the context of contemporary results, this authoritative volume presents cutting-edge research contributions and tutorial expositions on current methodologies for sensitivity, stability, and approximation analyses of mathematical programming and related problem structures involving parameters. Mathematical Programming with Data Perturbations features the latest findings on important topics, covering the effect of perturbations on the performance of algorithms approximation techniques for optimal control problems global error bounds for convex inequalities well-posedness by perturbations weak second-order conditions and attendant first- and second-order differential stability results stability characterizations of the parametric linear complementarity solution set map relations between complexity bounds and parameter structure second-order sufficient conditions for weak sharp minima and more! Containing key references to the literature, Mathematical Programming with Data Perturbations is a valuable resource for applied mathematicians, mathematical programmers, researchers in optimization and stability analysis, operations researchers, economists, engineers, and graduate-level students in these disciplines. ...
Mathematical Programming with Data Perturbations
7 June 2011

Mathematical Programming with Data Perturbations

Mathematical Programming with Data Perturbations

1998 | 464 | ISBN: 0824700597 | DJVU | 5 Mb

Revisiting classical theory within the context of contemporary results, this authoritative volume presents cutting-edge research contributions and tutorial expositions on current methodologies for sensitivity, stability, and approximation analyses of mathematical programming and related problem structures involving parameters. Mathematical Programming with Data Perturbations features the latest findings on important topics, covering the effect of perturbations on the performance of algorithms approximation techniques for optimal control problems global error bounds for convex inequalities well-posedness by perturbations weak second-order conditions and attendant first- and second-order differential stability results stability characterizations of the parametric linear complementarity solution set map relations between complexity bounds and parameter structure second-order sufficient conditions for weak sharp minima and more! Containing key references to the literature, Mathematical Programming with Data Perturbations is a valuable resource for applied mathematicians, mathematical programmers, researchers in optimization and stability analysis, operations researchers, economists, engineers, and graduate-level students in these disciplines. ...