Математика
4541 кн.
This book explains to the general reader the roles of chemistry in various areas of life ranging from the entirely personal to the worryingly global. These roles are currently not widely appreciated and certainly not well understood. The book is aimed at educated laypeople who want to know more about the world around them but have little chemical knowledge. The themes relate to the importance of chemistry in everyday life, the benefits they currently bring, and how their use can continue on a...
| Автор | John Emsley |
Demonstrating the timely relevance of Theodore Dreiser, Edith Wharton, Jack London and Henry Adams, this book shows how debates about evolution, identity, and a shifting world picture have uncanny parallels with the emerging global systems that shape our own lives. Tracing these systems’ take-off point in the early twentieth century through the lens of popular science journalism, John Bruni makes a valuable contribution to the study of how biopolitical control over life created boundaries among...
| Автор | John Bruni |
Modern economies are full of uncertainties and risk. Economics studies resource allocations in an uncertain market environment. As a generally applicable quantitative analytic tool for uncertain events, probability and statistics have been playing an important role in economic research. Econometrics is statistical analysis of economic and financial data. In the past four decades or so, economics has witnessed a so-called 'empirical revolution' in its research paradigm, and as the main...
| Автор | Yongmiao Hong |
This self-contained treatment originated as a series of lectures delivered to the Mathematical Association of America. It covers basic results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, for both the fractional and integral parts.The author refrains from the use of continuous fractions and...
| Автор | Ivan Niven |
Customarily, the framework of algebraic geometry has been worked over an algebraically closed field of characteristic zero, say, over the complex number field. However, over a field of positive characteristics, many unpredictable phenomena arise where analyses will lead to further developments.In the present book, we consider first the forms of the affine line or the additive group, classification of such forms and detailed analysis. The forms of the affine line considered over the function...
| Автор | Masayoshi Miyanishi |
Geared toward students of applied rather than pure mathematics, this volume introduces elements of partial differential equations. Its focus is primarily upon finding solutions to particular equations rather than general theory.Topics include ordinary differential equations in more than two variables, partial differential equations of the first and second orders, Laplace's equation, the wave equation, and the diffusion equation. A helpful Appendix offers information on systems of surfaces,...
| Автор | Ian N. Sneddon |
This enlightening survey of mathematical concept formation holds a natural appeal to philosophically minded readers, and no formal training in mathematics is necessary to appreciate its clear exposition of mathematic fundamentals. Rather than a system of theorems with completely developed proofs or examples of applications, readers will encounter a coherent presentation of mathematical ideas that begins with the natural numbers and basic laws of arithmetic and progresses to the problems of the...
| Автор | Friedrich Waismann |
Readers wishing to renew and extend their acquaintance with a variety of branches of mathematics will find this volume a practical companion. Geared toward those who already possess some familiarity with its subjects, the easy-to-follow explanations and straightforward tone make this book highly accessible. The contents are arranged logically and in order of difficulty: fractions, decimals, square and cube root, the metric system, algebra, quadratic and cubic equations, graphs, and the calculus...
| Автор | F. J. Camm |
The application of statistical methods in mass production make possible the most efficient use of raw materials and manufacturing processes, economical production, and the highest standards of quality for manufactured goods. In this classic volume, based on a series of ground-breaking lectures given to the Graduate School of the Department of Agriculture in 1938, Dr. Shewhart illuminated the fundamental principles and techniques basic to the efficient use of statistical method in attaining...
| Автор | Walter A. Shewhart |
This highly technical introduction to formal languages in computer science covers all areas of mainstream formal language theory, including such topics as operations on languages, context-sensitive languages, automata, decidability, syntax analysis, derivation languages, and more. Geared toward advanced undergraduates and graduate students, the treatment examines mathematical topics related to mathematical logic, set theory, and linguistics. All subjects are integral to the theory of...
| Автор | György E. Révész |
This textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications. Topics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated...
| Автор | John S. Rose |
This book, for the first time, provides laymen and mathematicians alike with a detailed picture of the historical development of one of the most momentous achievements of the human intellect ― the calculus. It describes with accuracy and perspective the long development of both the integral and the differential calculus from their early beginnings in antiquity to their final emancipation in the 19th century from both physical and metaphysical ideas alike and their final elaboration as...
| Автор | Carl B. Boyer |
"For high school seniors or college freshmen with a background in algebra and trigonometry, the book should provide a good introduction to matrices, vector algebra, analytical geometry, and calculus. The work's solid modern mathematical content and its personality recommend consideration as a text or as stimulating supplementary reading." — American Scientist"The book is well written and the presentation throughout achieves clarity of thought with a minimum of computational...
| Автор | George E. Owen |
This approach to the basics of probability theory employs the simple conceptual framework of the Kolmogorov model, a method that comprises both the literature of applications and the literature on pure mathematics. The author also presents a substantial introduction to the idea of a random process. Intended for college juniors and seniors majoring in science, engineering, or mathematics, the book assumes a familiarity with basic calculus.After a brief historical introduction, the text examines a...
| Автор | Paul E. Pfeiffer |
A great mathematician and teacher bridges the gap between science and the humanities in this exposition of the philosophy of science. Philipp Frank, a distinguished physicist and philosopher in his own right, traces the history of science from Aristotle to Einstein to illustrate philosophy’s ongoing role in the scientific process.Suitable for undergraduate students and other readers, this volume explains modern technology’s role in the gradual erosion of the rapport between...
| Автор | Philipp Frank |
�Should feminists clone?� �What do neurons think about?� �How can we learn from bacterial writing?� These provocative questions have haunted neuroscientist and molecular biologist Deboleena Roy since her early days of research when she was conducting experiments on an in vitro cell line using molecular biology techniques. An expert natural scientist as well as an intrepid feminist theorist, Roy takes seriously the expressive...
| Автор | Deboleena Roy |
This brief introductory text presents the basic principles of calculus from the engineering viewpoint. Excellent either as a refresher or as an introductory course, it focuses on developing familiarity with the basic principles rather than presenting detailed proofs.Topics include differential calculus, in terms of differentiation and elementary differential equations; integral calculus, in simple and multiple integration forms; time calculus; equations of motion and their solution; complex...
| Автор | Ira Ritow |
This graduate-level textbook and monograph defines the functions of a real variable through consistent use of the Daniell scheme, offering a rare and useful alternative to customary approaches. The treatment can be understood by any reader with a solid background in advanced calculus, and it features many problems with hints and answers. «The exposition is fresh and sophisticated,» declared Sci-Tech Book News, «and will engage the interest of accomplished mathematicians.» Part one is devoted to...
| Автор | G. E. Shilov |
Much in our daily lives is defined in numerical terms-from the moment we wake in the morning and look at the clock to dialing a phone or paying a bill. But what exactly is a number? When did man begin to count and record numbers? Who made the first calculating machine-and when? At what point did people first think of solving problems by equations? These and many other questions about numbers are answered in this engrossing, clearly written book.Written for general readers by a teacher of...
| Автор | Graham Flegg |
"This book is a radical departure from all previous concepts of advanced calculus," declared the Bulletin of the American Mathematics Society, «and the nature of this departure merits serious study of the book by everyone interested in undergraduate education in mathematics.» Classroom-tested in a Princeton University honors course, it offers students a unified introduction to advanced calculus. Starting with an abstract treatment of vector spaces and linear transforms, the authors...
| Автор | H.K Nickerson |
"As it is, the book is indispensable; it has, indeed, no serious English rival." — Times Literary Supplement"Sir Thomas Heath, foremost English historian of the ancient exact sciences in the twentieth century." — Prof. W. H. Stahl"Indeed, seeing that so much of Greek is mathematics, it is arguable that, if one would understand the Greek genius fully, it would be a good plan to begin with their geometry."The perspective that enabled Sir Thomas Heath to understand the...
| Автор | Sir Thomas Heath |
"One of the most valuable books on the relation of philosophy and science which has appeared for many years." — The Cambridge Review"A great contribution to Natur-philosophie, far the finest contribution . . . made by any one man. — MindIn addition to his brilliant achievements in theoretical mathematics, Alfred North Whitehead exercised an extensive knowledge of philosophy and literature that informs and elevates all of his works. This book represents one of his most...
| Автор | Alfred North Whitehead |
This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments.The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable...
| Автор | Avner Friedman |
A classic text and standard reference for a generation, this volume and its companion are the work of an expert algebraist who taught at Yale for more than three decades. Nathan Jacobson's books possess a conceptual and theoretical orientation; in addition to their value as classroom texts, they serve as valuable references.Volume II comprises all of the subjects usually covered in a first-year graduate course in algebra. Topics include categories, universal algebra, modules, basic...
| Автор | Nathan Jacobson |