Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's second and final revision of 1953.
Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.
An English translation of the notes from David Hilbert's course in 1897 on Invariant Theory at the University of Gottingen taken by his student Sophus Marxen.
David Hilbert was particularly interested in the foundations of mathematics. Among many other things, he is famous for his attempt to axiomatize mathematics. This now classic text is his treatment of symbolic logic. This translation is based on the second German edition and has been modified according to the criticisms of Church and Quine. In particular, the authors' original formulation of Gödel's completeness proof for the predicate calculus has been updated. In the first half of the twentieth century, an important debate on the foundations of mathematics took place. Principles of Mathematical Logic represents one of Hilbert's important contributions to that debate. Although symbolic logic has grown considerably in the subsequent decades, this book remains a classic.
This remarkable book has endured as a true masterpiece of mathematical exposition. There are few mathematics books that are still so widely read and continue to have so much to offer—even after more than half a century has passed! The book is overflowing with mathematical ideas, which are always explained clearly and elegantly, and above all, with penetrating insight. It is a joy to read, both for beginners and experienced mathematicians. “Hilbert and Cohn-Vossen” is full of interesting facts, many of which you wish you had known before. It's also likely that you have heard those facts before, but surely wondered where they could be found. The book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. The chapter on regular systems of points leads to the crystallographic groups and the regular polyhedra in R 3 R3. In this chapter, they also discuss plane lattices. By considering unit lattices, and throwing in a small amount of number theory when necessary, they effortlessly derive Leibniz's series: π/4=1−1/3+1/5−1/7+−… π/4=1−1/3+1/5−1/7+−…. In the section on lattices in three and more dimensions, the authors consider sphere-packing problems, including the famous Kepler problem. One of the most remarkable chapters is “Projective Configurations”. In a short introductory section, Hilbert and Cohn-Vossen give perhaps the most concise and lucid description of why a general geometer would care about projective geometry and why such an ostensibly plain setup is truly rich in structure and ideas. Here, we see regular polyhedra again, from a different perspective. One of the high points of the chapter is the discussion of Schlafli's Double-Six, which leads to the description of the 27 lines on the general smooth cubic surface. As is true throughout the book, the magnificent drawings in this chapter immeasurably help the reader. A particularly intriguing section in the chapter on differential geometry is Eleven Properties of the Sphere. Which eleven properties of such a ubiquitous mathematical object caught their discerning eye and why? Many mathematicians are familiar with the plaster models of surfaces found in many mathematics departments. The book includes pictures of some of the models that are found in the Göttingen collection. Furthermore, the mysterious lines that mark these surfaces are finally explained! The chapter on kinematics includes a nice discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way. This topic in geometry has become increasingly important in recent times, especially in applications to robotics. This is another example of a simple situation that leads to a rich geometry. It would be hard to overestimate the continuing influence Hilbert-Cohn-Vossen's book has had on mathematicians of this century. It surely belongs in the “pantheon” of great mathematics books.
The archaeological evidence presented in this work encompasses the cultural remains of over a million years of successive human occupation of Nejd Plateau, Dhofar, from the Lower Palaeolithic to the Late Palaeolithic. This volumes suggests a fundamental reconsideration of the role of Southern Arabia in the origin and dispersal of our species.
During his first years in America, William Henry Krause Pollock participated in some of the most important American chess events of the 19th century. Pollock played matches against strong players like Charles Moehle, John L. McCutcheon, Jackson W. Showalter and Eugene Delmar. This biography analyzes in great detail Pollock's chess play, as well as his career and life in England, Ireland and America. His American years unveil even more about the American chess landscape during the first half of 1890s, one of the most interesting periods in American chess history. Offered here are an unprecedented collection of annotated games played by Pollock (around 500), historical photographs and line drawings. Sources include historical chess journals and magazines with chess columns from America, the United Kingdom and Canada.
This engaging, well researched and documented book contains short stories on The captains, crews and companies who financed early American Naval commerce and shipping. surrounding each topic is a historical perspective which give flavor to the times and the background to fully understand the historical snippet. This book will be of interest for history and nautical students and those with an interest in the development of our new nation.
A translation of Hilberts "Theorie der algebraischen Zahlkörper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly integrated overview of the development of algebraic number theory up to the end of the nineteenth century. The Zahlbericht also provided a firm foundation for further research in the theory, and can be seen as the starting point for all twentieth century investigations into the subject, as well as reciprocity laws and class field theory. This English edition further contains an introduction by F. Lemmermeyer and N. Schappacher.
Comprehensive preparation for the Graduate Management Admission Test begins with an overview and introduction to the GMAT, which is a computer-adaptive test. A diagnostic test with answers precedes an extensive “Correct Your Weaknesses” section, which presents separate chapters on essay writing, reading comprehension, sentence correction, critical reasoning, and math. Two full-length practice tests with questions that reflect recent GMATs come with answers, analyses, and directions for evaluating the test taker’s score. The manual’s concluding section discusses business school basics, with advice on choosing a school, coping with the application procedure, financing a business school education, and entering the job market.
Updated to reflect the latest Graduate Management Admission Tests as it is given in the computer-adaptive format, this manual presents a diagnostic test and five full-length practice tests. Answers and explanations are given for all questions. The manual’s extensive subject review sections focus on all six GMAT testing areas: essay writing, reading comprehension, sentence correction, critical reasoning, problem solving, and data sufficiency. The accompanying CD-ROM simulates actual test-taking conditions. It presents a computer-adaptive exam with automatic scoring.
Updated with information reflecting the Graduate Management Admission Test as it is given today -- which is as a computer-adaptive exam -- this manual presents a diagnostic test with answers and analysis plus five [?] full-length model exams with all questions answered and explained. Subject review sections are focused to help test-takers correct their weaknesses in essay writing, reading comprehension, sentence correction, critical reasoning, and math. The book can be purchased alone or with an optional CD-ROM that simulates an actual computer-adaptive test and scores the test-taker's results automatically.
The introduction to the Lushootseed-English section catalogs Lushootseed word-building structures, and entries exemplify each prefix, suffix, and root. The English-Lushootseed section features encyclopedic entries on many culturally significant topics such as Native canoe classifications and animal names. Scientific classifications are included for botanical terms, and cultural information makes the volume interesting for the nonlinguist. An extensive introduction explains the structure of entries and provides clear definitions of grammatical terms. A detailed description of the sounds of Lushootseed will be invaluable for learners of the language. The traditional dictionary format is readable and economical, resulting in a volume of manageable size.
The latest edition of this volume features an extensively revised and expanded collection of immunohematology and transfusion medicine case studies, comprised of clinical vignettes and antibody panels with questions following each case. Arranged in a workbook format, the text presents cases based on real patient problems and covers a number of common issues and challenging problems in blood banking and transfusion practice. Discussion and resolution of each case is provided in a separate answer section, including up-to-date information on pertinent advances in the field. This third edition updates information on existing case chapters and references and adds a variety of new case chapters. The enhanced title of this edition reflects upon the wider array of covered topics, including in-depth case studies of hemostasis and a second section with blood donation and cellular therapy topics. New features include a key to covered topics for each case and a case-difficulty rating scale. Written by experts in the field, Immunohematology, Transfusion Medicine, Hemostasis, and Cellular Therapy: A Case Study Approach, Third Edition is an interactive tool that makes blood banking and transfusion medicine memorable, practical, and relevant to residents, fellows, laboratory technologists, and anyone interested in gaining and updating their knowledge in the field
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