Similarity Solutions of Nonlinear Partial Differential Equations

The method of similarity solutions for solving nonlinear partial differential equations has produced a plentiful harvest of results since Birkhoff called attention to it in 1950. The general references in the bibliography at the
end of this book cite hundreds of successful individual works. In spite of this success, the method is still not as widely known as equally fruitful methods for solving linear partial differential equations, e.g., separation of variables or Laplace transforms. To popularize the method of similarity solutions, to teach it as a practical technique, to make it a part of the daily armament of the technologist, is the goal of this book.

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Finite von Neumann Algebras and Masas

A thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a finite von Neumann algebra with a fixed faithful normal trace are discussed in detail. The general theory of maximal abelian self-adjoint subalgebras (masas) of separable II1 factors is presented with illustrative examples derived from group von Neumann algebras. The theory of singular masas and Sorin Popa's methods of constructing singular and semi-regular masas in general separable II1 factor are explored. Appendices cover the ultrapower of an II1 factor and the properties of unbounded operators required for perturbation results. Proofs are given in considerable detail and standard basic examples are provided, making the book understandable to postgraduates with basic knowledge of von Neumann algebra theory.

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Systems of Frequency Curves

It has long enjoyed popularity as a source of clear descriptions of the practical use of Pearson and also Gram-Charlie systems of frequency curves. Professor Johnson has substantially revised this book. The material on correlations has been omitted; descriptions of further kinds of frequency curves have been added; the treatment of frequency surfaces has been recast and broadened; and the opportunity has been taken to amend the original text in the light of later research. The aim of this book remains essentially practical. There is no attempt at encyclopaedic coverage of all known systems of frequency curves and surfaces. It should be of especial value as a quick reference book (for statisticians and non-statisticians alike) for formulae and methods used in fitting frequency curves.

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Stream Ciphers and Number Theory

Deals with many connections between stream ciphers and number theory covering topics like construction of generators, cryptographic properties of key streams such as linear complexity, pattern distribution, correlation properties and 2-adic complexity. The monograph gives a useful overview on the present stage of research, moreover it contains more than 30 open research problems.

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Foundations of the Theory of Algebraic Invariants

The theory of algebraic invariants has found insufficient attention in Russian mathematical literature. The book by Alekseev, written in 1899, is largely out of date, while individual chapters in certain text-books on algebra (Sushkevich, Bocher, etc.) written later, give only the beginnings of the theory. The present book is to fill this gap. Its essential special feature is wide utilization of classical methods as well as of the basic concepts and notation of tensor algebra; this makes it possible to present all problems at once in as general a form as possible. In addition, the Author believes that only by this means can one succeed in bringing full clarity to the problem of Aronhold's symbolic.

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Elementary Number Theory, 5th Edition (Include Solutions manual)

Elementary Number Theory and Its Applications is noted for its outstanding exercise sets, including basic exercises, exercises designed to help students explore key concepts, and challenging exercises. Computational exercises and computer projects are also provided. In addition to years of use and professor feedback, the fifth edition of this text has been thoroughly checked to ensure the quality and accuracy of the mathematical content and the exercises.

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Solution of Differential Equation Models by Polynomial Approximation

The principal aim of this book is to support the engineer — specifically the chemical engineer — who is interested in quantitative treatment of physical models. The book contains in particular an extended account of the collocation method.

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Math - Houghton Mifflin

Whether you're looking for a kindergarten math program, powerful intervention, or special resources to meet the diverse learning needs in your classroom, Houghton Mifflin really delivers. These dynamic, research-based mathematics materials provide comprehensive support to ensure math achievement, a strong focus on skill building, problem solving, and concepts mastery for every level of learning, and plenty of practice for every day mathematics and test-taking success.

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Algebraic Topology

This book was written to be a readable introduction to Algebraic Topology with rather broad coverage of the subject. Our viewpoint is quite classical in spirit, and stays largely within the confines of pure Algebraic Topology. In a sense, the book could have been written thirty years ago since virtually all its content is at least thatold. However, the passage of the intervening years has helped clarify what the most important results and techniques are. For example, CW complexes have proved over time to be the most natural class of spaces for Algebraic Topology, so they are emphasized here much more than in the books of an earlier generation. This emphasisalso illustrates the book’s general slant towards geometric, rather than algebraic, aspects of the subject. The geometry of Algebraic Topology is so pretty, it would seem a pity to slight it and to miss all the intuition that it provides. At deeper levels, algebra becomes increasingly important, so for the sake of balance it seems only fair to emphasize geometry at the beginning.

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The Science of Programming Matrix Computations

The Formal Linear Algebra Methods Environment (FLAME) encompasses a methodology for deriving an algorithm for a dense linear algebra operation hand-in-hand with its proof of correctness as well as an approach to represent (and code) the resulting algorithm. This books reviews the foundations of FLAME: the derivation methodology, the notation, and the high-level Application Programming Interfaces, which are applied to basic linear algebra operations as well as operations for the solution of linear systems. While the text targets the novice, its emphasis on high performance algorithms should also be of interest to the expert.

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The Science of Programming Matrix Computations

The Formal Linear Algebra Methods Environment (FLAME) encompasses a methodology for deriving an algorithm for a dense linear algebra operation hand-in-hand with its proof of correctness as well as an approach to represent (and code) the resulting algorithm. This books reviews the foundations of FLAME: the derivation methodology, the notation, and the high-level Application Programming Interfaces, which are applied to basic linear algebra operations as well as operations for the solution of linear systems. While the text targets the novice, its emphasis on high performance algorithms should also be of interest to the expert.

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The Science of Programming Matrix Computations

The Formal Linear Algebra Methods Environment (FLAME) encompasses a methodology for deriving an algorithm for a dense linear algebra operation hand-in-hand with its proof of correctness as well as an approach to represent (and code) the resulting algorithm. This books reviews the foundations of FLAME: the derivation methodology, the notation, and the high-level Application Programming Interfaces, which are applied to basic linear algebra operations as well as operations for the solution of linear systems. While the text targets the novice, its emphasis on high performance algorithms should also be of interest to the expert.

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MIRROR

The Science of Programming Matrix Computations

The Formal Linear Algebra Methods Environment (FLAME) encompasses a methodology for deriving an algorithm for a dense linear algebra operation hand-in-hand with its proof of correctness as well as an approach to represent (and code) the resulting algorithm. This books reviews the foundations of FLAME: the derivation methodology, the notation, and the high-level Application Programming Interfaces, which are applied to basic linear algebra operations as well as operations for the solution of linear systems. While the text targets the novice, its emphasis on high performance algorithms should also be of interest to the expert.

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Math puzzles and games

A collection of old and new problems, puzzles, games, and diversions based on probability, geometry, number patterns, magic squares, and the laws of physics.

Table of Contents:

Introduction VII
1. Number Problems 1
2. Number Patterns 21
3. Magic and Party Tricks with Numbers 31
4. Magic Squares and Sliding-Block Puzzles 41
5. Illusions 49
6. Dominoes and Dice 75
7. Physics Puzzles 83
Answers 89


Summary: If you can get your hands on this book, it's a lot of fun!
Rating: 5

I love the variety of puzzles in this book. They range in difficulty - my 10-year-old son, myself, and my physics-adoring husband have all been challenged and entertained by the puzzles in this book.

I love that the author says at the beginning of the introduction, "If you really get stuck, don't give up - or you'll spoil the fun. Put the sticky puzzle aside, and perhaps the next day a new line of attack may suddenly strike you. Or you can try to solve an easier puzzle similar to the sticky one. Or again you can guess trial answers just to see if they make sense."

He does give the answers at the back, but he's right; it's much more satisfying to figure it out oneself.

The puzzles are grouped by type; the easier ones at the beginning of the section, gradiently getting more difficult.

This book is really wonderful for children and adults. As a homeschooler, I find this a wonderful tool for challenging myself and my kids. It's a great tool for making math FUN!

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Supporting English Language Learners in Math Class, Grades K-2

Addressing the reality that English Language Learners (ELLs) need additional support in classes where math instruction is in English, this lesson-based series gives teachers the essential tools for meeting math content goals and language development goals simultaneously. With a deep appreciation for the unique linguistic experiences and diverse cultural traditions that ELLs bring to a classroom, each model lesson takes teachers step-by-step through ways to actively involve ELLs in learning math. Teachers will get a wealth of strategies and activities for modifying their instruction to improve the success of ELLs, suggestions for determining the linguistic demands of math lessons, answers to frequently asked questions including multi-language and multi-level situations, and instant-use reproducibles. Contents cover geometry, number sense, data analysis, algebra, and word problems.

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Supporting English Language Learners in Math Class, Grades K-2

Addressing the reality that English Language Learners (ELLs) need additional support in classes where math instruction is in English, this lesson-based series gives teachers the essential tools for meeting math content goals and language development goals simultaneously. With a deep appreciation for the unique linguistic experiences and diverse cultural traditions that ELLs bring to a classroom, each model lesson takes teachers step-by-step through ways to actively involve ELLs in learning math. Teachers will get a wealth of strategies and activities for modifying their instruction to improve the success of ELLs, suggestions for determining the linguistic demands of math lessons, answers to frequently asked questions including multi-language and multi-level situations, and instant-use reproducibles. Contents cover geometry, number sense, data analysis, algebra, and word problems.

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Nicolas Chuquet, Renaissance Mathematician

• Graham Flegg, C. Hay, B. Moss, "Nicolas Chuquet, Renaissance Mathematician"
• Springer | 1985 | ISBN: 9027718725 | 400 pages | Djvu | 20,7 MB
• `The authors attempt succesfully to give a balanced picture of Chuquet's achievements and his limitations. Thus the book presents a well-documented and thoroughly elaborated research work.' Mathematical Reviews (1986)
• CONTENTS
• PREFACE
• CHAPTER 1: ANTECEDENTS 1
• CHAPTER 2: NICOLAS CHUOUET - THE MAN AND HIS MANUSCRIPT 14
• CHAPTER 3: THE TRIPARTY - FIRST PART 27
• CHAPTER 4: THE TRIPARTY - SECOND PART 93
• CHAPTER 5: THE TRIPARTY - THIRD PART 143
• CHAPTER 6: THE PROBLEMS 197
• CHAPTER 7: THE GEOMETRY 234
• CHAPTER 8: THE COMMERCIAL ARITHMETIC 291
• CHAPTER 9: THE PLACE OF NICOLAS CHUQUET IN THE HISTORY OF MATHEMATICS 332
• APPENDIX: TABLE OF CONTENTS FOR CHUQUET'S MATHEMATICAL MANUSCRIPTS 362
• BIBLIOGRAPHY 375
• INDEX OF NAMES AND WORKS 385
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The Fermat Diary

• C. J. Mozzochi, "The Fermat Diary"
• American Mathemataical Society | 2000 | ISBN: 0821826700 | 196 pages | Djvu | 13,3 MB
• This book concentrates on the final chapter of the story of perhaps the most famous mathematics problem of our time: Fermat's Last Theorem. The full story begins in 1637, with Pierre de Fermat's enigmatic marginal note in his copy of Diophantus's Arithmetica. It ends with the spectacular solution by Andrew Wiles some 350 years later. The Fermat Diary provides a record in pictures and words of the dramatic time from June 1993 to August 1995, including the period when Wiles completed the last stages of the proof and concluding with the mathematical world's celebration of Wiles' result at Boston University.
• This diary takes us through the process of discovery as reported by those who worked on the great puzzle: Gerhard Frey who conjectured that Shimura-Taniyama implies Fermat; Ken Ribet who followed a difficult and speculative plan of attack suggested by Jean-Pierre Serre and established the statement by Frey; and Andrew Wiles who announced a proof of enough of the Shimura-Taniyama conjecture to settle Fermat's Last Theorem, only to announce months later that there was a gap in the proof. Finally, we are brought to the historic event on September 19, 1994, when Wiles, with the collaboration of Richard Taylor, dramatically closed the gap. The book follows the much-in-demand Wiles through his travels and lectures, finishing with the Instructional Conference on Number Theory and Arithmetic Geometry at Boston University.
• There are many important names in the recent history of Fermat's Last Theorem. This book puts faces and personalities to those names. Mozzochi also uncovers the details of certain key pieces of the story. For instance, we learn in Frey's own words the story of his conjecture, about his informal discussion and later lecture at Oberwolfach and his letter containing the actual statement. We learn from Faltings about his crucial role in the weeks before Wiles made his final announcement. An appendix contains the Introduction of Wiles' Annals paper in which he describes the evolution of his solution and gives a broad overview of his methods. Shimura explains his position concerning the evolution of the Shimura-Taniyama conjecture. Mozzochi also conveys the atmosphere of the mathematical community---and the Princeton Mathematics Department in particular---during this important period in mathematics.
• This eyewitness account and wonderful collection of photographs capture the marvel and unfolding drama of this great mathematical and human story.
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European Women in Mathematics

• Catherine Hobbs, Sylvie Paycha, "European Women in Mathematics"
• World Scientific Publishing Company | 2010 | ISBN: 9814277673 | 199 pages | PDF | 5,8 MB
• This volume offers a unique collection of outstanding contributions from renowned women mathematicians who met in Cambridge for a conference under the auspices of European Women in Mathematics (EWM). These contributions serve as excellent surveys of their subject areas, including symplectic topology, combinatorics and number theory. The volume moreover sheds light on prominent women mathematicians who worked in Cambridge in the late 19th and early 20th centuries by providing an insightful historical introduction at the beginning of the volume. The volume concludes with short contributions from women mathematicians from across Europe working in various areas of mathematics ranging from group theory to magnetic fields.
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