Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.

    This is a revision of the famed pocket guide giving engineers, scientists, technicians, and students thousands of essential technical and mathematical formulas and hundreds of diagrams to simplify and speed their calculations.

    Translation of Stabilit tructurelle et Morphog'se.

    It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations.

    Problems of varying difficulty are used throughout the text to aid comprehension.

     The Psychology of Learning Mathematics, already translated into six languages (including Chinese and Japanese), has been revised for this American Edition to include the author's most recent findings on the formation of mathematical concepts, different kinds of imagery, interpersonal and emotional factors, and a new model of intelligence. The author contends that progress in the areas of learning and teaching mathematics can only be made when such factors as the abstract and hierarchical nature of mathematics, the relation to mathematical symbolism and the distinction between intelligent learning and rote memorization are taken into account and instituted in the classroom.

    His work greatly influenced the development of mathematics, particularly analytical geometry, and was unsurpassed for many centuries. Although he is generally better known as a poet, his work as a philosopher, scientist, and mathematician was a major contribution to the growth of human knowledge. His famous book on algebra and equations - translated here by Roshdi Khalil - is considered to be perhaps his most important contribution to mathematics. The book deals with the solution of quadratic and cubic equations. Al-Khayam solved all possible cases of such equations by using geometrical approaches, sometimes involving conic sections, parabolas, and hyperbolas. Historians of science, teachers of mathematics, and mathematicians themselves will find the book both interesting and informative.

    In addition, there are three appendices which provide diagrams of graphs, directed graphs, and trees. The emphasis throughout is on theorems rather than algorithms or applications, which however are occaisionally mentioned.

    Most space devoted to the application of cylinder functions and spherical harmonics. Also explores gamma function, probability integral and related functions, Airy functions, hyper-geometric functions, more. Translated by Richard Silverman.

    Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

    If Adrian orders ham, Buford orders pork. Either Adrian or Carter orders ham, but not both. Buford and Carter do not both order pork. Who could have ordered ham yesterday, pork today?It is a rare event when a book of truly new logical puzzles is primed, but George Summers has now twice produced such an event. In New Puzzles in Logical Deduction he created 50 truly new puzzles. With new turns of thought, new subtleties of inference, he has here created 50 more! Even if you have not seen the basic situations before, you have never before had a chance to test your logic against the precision of scope of these.The puzzles range in difficulty from the relatively simple examples at the beginning of the book to others, tricky, complex, and subtle enough to test the expert. Most are set in story form. Some are concerned with establishing identities from minimal clues. Others are based on cryptarithmetic, or the identification of numbers. While an occasional problem involves algebra, no special knowledge is required for most, no mathematics beyond high school, no training in traditional or symbolic logic. All that one need to them is the ability to think clearly and consecutively, and to pursue the puzzles in the most downright logical way.Among the strongest features of Summers' book is the solutions section, which takes the reader through every step and every implication of the solutions. After seeing one solution, you cannot help but test your logic against the next puzzle in the book. There are even hints printed at the bottom of the page to stall somewhat the irresistible urge to turn to the answers. To our knowledge this material is unique.

    

    Snedecor as the sole author. Snedecor asked William G. Cochran to do the revisions for the sixth edition, and Cochran was listed as the second author of the sixth and seventh editions. The present edition was prepared by several members of the Department of Statistics at Iowa State University. The revisions were guided by the principle that the work should remain the work of its original authors; thus, much of the material remains as previously published. A significant change in this edition occurs in the notation used to describe the operations of multiple regression. Matrix algebra replaces the original summation operators, and a short appendix on matrix algebra is included.

    Instead of teaching methods, the essays illustrate past accomplishments and current uses of statistics and probability. Surveys, questionnaires, experiments, and observational studies are also presented to help the student better understand the importance of the influence of statistics on each topic covered within the separate essays.

    Simmons advocates a careful approach to the subject, covering such topics as the wave equation, Gauss's hypergeometric function, the gamma function and the basic problems of the calculus of variations in an explanatory fashions - ensuring that students fully understand and appreciate the topics.