Mathematics

Author: A. D. Aleksandrov

Publisher:

ISBN: OCLC:472196608

Category: Mathematics

Page: 377

View: 130

Mathematics

Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional ...

Author: A. D. Aleksandrov

Publisher: Courier Corporation

ISBN: 9780486157870

Category: Mathematics

Page: 1120

View: 978

Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.

Commutative Algebra  Volume II

0-486-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, ... 0-486-40916-3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition--Two Volumes Bound as One, Ray M. Bowen and C.-C. Wang.

Author: Oscar Zariski

Publisher: Courier Dover Publications

ISBN: 9780486838601

Category: Mathematics

Page: 432

View: 477

The second text in this two-book series extends the classical material of Volume I, which focuses on field theory and the ideal theory of Noetherian rings and Dedekind domains. The connection of Volume II's material to algebraic geometry is stressed throughout the presentation, making this book a practical introduction to some basic concepts and the arithmetical foundations of algebraic geometry. The opening chapter deals with properties of places and is followed by a chapter that explores the classical properties of polynomial and power series rings and their applications to algebraic geometry. The final chapter examines the theory of local rings, which provides the algebraic basis for the local study of algebraic and analytical varieties. Several helpful Appendixes conclude the text.

Introduction to Prehomogeneous Vector Spaces

This is the first introductory book on the theory of prehomogeneous vector spaces, introduced in the 1970s by Mikio Sato.

Author: Tatsuo Kimura

Publisher: American Mathematical Soc.

ISBN: 0821827677

Category: Mathematics

Page: 288

View: 662

This is the first introductory book on the theory of prehomogeneous vector spaces, introduced in the 1970s by Mikio Sato. The author was an early and important developer of the theory and continues to be active in the field. This book explains the basic concepts of prehomogeneous vector spaces, the fundamental theorem, the zeta functions associated with prehomogeneous vector spaces and a classification theory of irreducible prehomogeneous vector spaces. This book is written for students, and is appropriate for second-year graduate level and above. However, because it is self-contained, covering algebraic and analytic preliminaries in considerable detail, the content may in fact prove to be accessible to many advanced undergraduate and beginning graduate students. It also provides a useful introduction for working mathematicians who want to learn about prehomogeneous vector spaces.

Lectures on the Mathematical Method in Analytical Economics

0-486-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, and M. A. Lavrent'ev. ... 5 3/8 x 8 1/2. 0-486-40916-3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition--Two Volumes Bound as One, ...

Author: Jacob T. Schwartz

Publisher: Courier Dover Publications

ISBN: 9780486828039

Category: Business & Economics

Page: 304

View: 656

An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.

Hidden Connections and Double Meanings

0-486-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, ... 0-486-40916-3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition-Two Volumes Bound as One, Ray M. Bowen and C.-C. Wang.

Author: David Wells

Publisher: Courier Dover Publications

ISBN: 9780486832647

Category: Mathematics

Page: 176

View: 350

You don't have to be a mathematician to appreciate these intriguing problems and puzzles, which focus on insight and imagination rather than technique. Includes hints and solutions.

Statistical Method from the Viewpoint of Quality Control

O-486-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, and M. A. Lavrent'ev. ... 5 3/8 x 8 1/2. 0-486-40916-3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition-—Two Volumes Bound as One, ...

Author: Walter A. Shewhart

Publisher: Courier Corporation

ISBN: 9780486170879

Category: Mathematics

Page: 176

View: 389

Important text offers lucid explanation of how to regulate variables and maintain control over statistics in order to achieve quality control over manufactured products, crops and data. First inexpensive paperback edition.

Euleriana

Das vorliegende Buch ist keine «Festschrift» im gewohnten Sinne, d. h. keine mehr oder weniger willkurliche Sammlung von Fachabhandlungen ohne wechselseitigen inneren Zusammenhang, sondern es unterliegt einer ganz bestimmten Konzeption: ...

Author: Beitrage Zu Leben Und Werk

Publisher: Birkhäuser

ISBN: UCM:5302419878

Category: Juvenile Nonfiction

Page: 555

View: 152

Das vorliegende Buch ist keine «Festschrift» im gewohnten Sinne, d. h. keine mehr oder weniger willkurliche Sammlung von Fachabhandlungen ohne wechselseitigen inneren Zusammenhang, sondern es unterliegt einer ganz bestimmten Konzeption: Die hier vereinigten Beitdige sollen Leben und Werk Leonhard Eulers etwa im MaBstab seiner breitgefacherten Aktivitaten in synoptischer Sicht abdecken und die nachhaltige Wirkung seines wissenschaft­ lichen Schaff ens auf die heutige Zeit aufzeigen. Das Inhaltsverzeichnis lasst leicht folgende Gliederung des Buches erkennen: Der erste Beitrag steht fUr sich al1ein und solI unter BerUcksichtigung der neuen Forschungen einen Uberblick Uber Leben und Wirken Eulers bieten, der einen weiteren Leser­ kreis ansprechen mage. Die nachsten neun Aufsatze (Gelfond bis Schoenberg) umspannen die Gebiete Zahlentheorie, Algebra und Analysis, wahrend die nachfolgenden sechs Beitrage (Speiser bis Fellmann) der Physik gewidmet sind. Den drei Arbeiten zur Astronomie (Cross, Yolk, Nevskaja) schliessen sich sechs Uber Eulers Beziehungen zu Akademien und markanten Einzelpersan­ lichkeiten an (Kopelevic bis Jaquel), gefolgt von drei Beitragen zur Philoso­ phie, Theologie und Biographie Eulers (Breidert, Raith, Bernoulli). Den Abschluss bilden drei Darstellungen zur Editionsgeschichte der Opera omnia und zur Bibliographie (Biermann, Burckhardt). Jeder Beitrag kann unabhan­ gig von der getroffenen Reihenfolge gelesen werden. Einheitlich im ganzen Band werden die BezUge auf die Werke Eulers abgekUrzt zitiert, und zwar in der Reihenfolge: Nummer des Enestram­ Verzeichnisses, Serie der Opera omnia, Band, evtl. Seitenangabe. Ein Beispiel mage dies verdeutlichen: E. 65/0. I,24, p. 23lf. , verweist auf Eulers Methodus inveniendi lineas curvas . . . im Band 24 der Series prima, Seiten 23lf.

The Green Function Method in Statistical Mechanics

Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, and M. A. Lavrent'ev. ... 0-486-40916-3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition-Two Volumes Bound as One, Ray M. Bowen and C.-C. Wang.

Author: V.L. Bonch-Bruevich

Publisher: Courier Dover Publications

ISBN: 9780486797151

Category: Science

Page: 272

View: 181

Concise monograph devoted to techniques of solving many-body problems in physics using the quantum-mechanical Green function method. Requires some familiarity with the basic theory of quantum mechanics and statistical mechanics. 1962 edition.

Equations of Mathematical Physics

O-486-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, and M. A. Lavrent'ev. ... 5 3/8 x 8 1/2. 0-486-40916-3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition-—Two Volumes Bound as One, ...

Author: Andrej Nikolaevi? Tikhonov (Mathematician)

Publisher: Courier Corporation

ISBN: 9780486664224

Category: Mathematics

Page: 765

View: 245

Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced-undergraduate or graduate-level text considers only those problems leading to partial differential equations. The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations deailing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendices that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.

Mathematics for Operations Research

0-486-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, and M. A. Lavrent'ev. ... -3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition-—Two Volumes Bound as One, Ray M, Bowen and C.-C. Wang.

Author: W. H. Marlow

Publisher: Courier Corporation

ISBN: 9780486677231

Category: Mathematics

Page: 483

View: 242

Practical and applications-oriented, this text explains effective procedures for performing mathematical tasks that arise in many fields, including operations research, engineering, systems sciences, statistics, and economics. Most of the examples and many of the 1,300 problems illustrate techniques, and nearly all of the tables display reference material for procedures. 1978 edition.

Course of Pure Mathematics

0-486-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, and M. A. Lavrent'ev. ... -3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition-Two Volumes Bound as One, Ray M. Bowen and C.-C. Wang.

Author: G. H. Hardy

Publisher: Courier Dover Publications

ISBN: 9780486822358

Category: Mathematics

Page: 448

View: 398

This classic calculus text remains a must-read for all students of introductory mathematical analysis. Clear, rigorous explanations of the mathematics of analytical number theory and calculus cover single-variable calculus, sequences, number series, more. 1921 edition.

An Introduction to Mathematics

0-486-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, and M. A. Lavrent'ev. ... -3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition-Two Volumes Bound as One, Ray M. Bowen and C.-C. Wang.

Author: Alfred North Whitehead

Publisher: Courier Dover Publications

ISBN: 9780486821382

Category: Mathematics

Page: 176

View: 593

Concise volume for general students by prominent philosopher and mathematician explains what math is and does, and how mathematicians do it. "Lucid and cogent ... should delight you." — The New York Times. 1911 edition.

Mathematics and the Physical World

0-486-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, and M. A. Lavrent'ev. ... -3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition-Two Volumes Bound as One, Ray M. Bowen and C.-C. Wang.

Author: Morris Kline

Publisher: Courier Corporation

ISBN: 9780486241043

Category: Mathematics

Page: 482

View: 357

"Kline is a first-class teacher and an able writer. . . . This is an enlarging and a brilliant book." ? Scientific American "Dr. Morris Kline has succeeded brilliantly in explaining the nature of much that is basic in math, and how it is used in science." ? San Francisco Chronicle Since the major branches of mathematics grew and expanded in conjunction with science, the most effective way to appreciate and understand mathematics is in terms of the study of nature. Unfortunately, the relationship of mathematics to the study of nature is neglected in dry, technique-oriented textbooks, and it has remained for Professor Morris Kline to describe the simultaneous growth of mathematics and the physical sciences in this remarkable book. In a manner that reflects both erudition and enthusiasm, the author provides a stimulating account of the development of basic mathematics from arithmetic, algebra, geometry, and trigonometry, to calculus, differential equations, and the non-Euclidean geometries. At the same time, Dr. Kline shows how mathematics is used in optics, astronomy, motion under the law of gravitation, acoustics, electromagnetism, and other phenomena. Historical and biographical materials are also included, while mathematical notation has been kept to a minimum. This is an excellent presentation of mathematical ideas from the time of the Greeks to the modern era. It will be of great interest to the mathematically inclined high school and college student, as well as to any reader who wants to understand ? perhaps for the first time ? the true greatness of mathematical achievements.

Mathematics for the Physical Sciences

0-486-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, ... 0-486-40916-3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition-Two Volumes Bound as One, Ray M. Bowen and C.-C. Wang.

Author: Laurent Schwartz

Publisher: Courier Dover Publications

ISBN: 9780486466620

Category: Mathematics

Page: 358

View: 478

Concise treatment of mathematical entities employs examples from the physical sciences. Topics include distribution theory, Fourier series, Laplace transforms, wave and heat conduction equations, and gamma and Bessel functions. 1966 edition.

Mathematical Logic

0-486-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, ... 0-486-40916-3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition-Two Volumes Bound as One, Ray M. Bowen and C.-C. Wang.

Author: Joel W. Robbin

Publisher: Courier Dover Publications

ISBN: 9780486450186

Category: Mathematics

Page: 212

View: 339

This self-contained text will appeal to readers from diverse fields and varying backgrounds. Topics include 1st-order recursive arithmetic, 1st- and 2nd-order logic, and the arithmetization of syntax. Numerous exercises; some solutions. 1969 edition.

Mathematical Economics

O-4-86-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, ... 0-486-40916-3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition--Two Volumes Bound as One, Ray M. Bowen and C.-C. Wang.

Author: Kelvin Lancaster

Publisher: Courier Corporation

ISBN: 9780486145044

Category: Mathematics

Page: 448

View: 244

Graduate-level text provides complete and rigorous expositions of economic models analyzed primarily from the point of view of their mathematical properties, followed by relevant mathematical reviews. Part I covers optimizing theory; Parts II and III survey static and dynamic economic models; and Part IV contains the mathematical reviews, which range fromn linear algebra to point-to-set mappings.

Principles and Techniques of Applied Mathematics

0-486-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, ... 0-486-40916-3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition-Two Volumes Bound as One, Ray M. Bowen and C.-C. Wang.

Author: Bernard Friedman

Publisher: Courier Dover Publications

ISBN: 9780486664446

Category: Mathematics

Page: 315

View: 804

Stimulating, thought-provoking study shows how abstract methods of pure mathematics can be used to systematize problem-solving techniques in applied mathematics. Topics include methods for solving integral equations, finding Green's function for ordinary or partial differential equations, and for finding the spectral representation of ordinary differential operators.

Modern Mathematics for the Engineer  First Series

0—486-46934—4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, and M. A. Lavrent'ev. ... 5 3/8 x 8 1/2. 0-486-40916—3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition-Two Volumes Bound as One, ...

Author: Edwin F. Beckenbach

Publisher: Courier Corporation

ISBN: 9780486497464

Category: Technology & Engineering

Page: 514

View: 489

This volume and its successor were conceived to advance the level of mathematical sophistication in the engineering community, focusing on material relevant to solving the kinds of problems regularly confronted. Volume One's three-part treatment covers mathematical models, probabilistic problems, and computational considerations. Contributors include Solomon Lefschetz, Richard Courant, and Norbert Wiener. 1956 edition.

Lapses in Mathematical Reasoning

0-486-46934-4 MATHEMATICS: Its Content, Methods and Meaning, A. D. Aleksandrov, A. N. Kolmogorov, and M. A. Lavrent'ev. ... 3/8 x 8 1/2. 0-486-40916-3 INTRODUCTION TO VECTORS AND TENSORS: Second Edition-Two Volumes Bound as One, ...

Author: V. M. Bradis

Publisher: Courier Dover Publications

ISBN: 9780486816579

Category: Mathematics

Page: 224

View: 905

Designed as a method for teaching correct mathematical thinking to high school students, this book contains a brilliantly constructed series of what the authors call "lapses," erroneous statements that are part of a larger mathematical argument. These lapses lead to sophism or mathematical absurdities. The ingenious idea behind this technique is to lead the student deliberately toward a clearly false conclusion. The teacher and student then go back and analyze the lapse as a way to correct the problem. The authors begin by focusing on exercises in refuting erroneous mathematical arguments and their classification. The remaining chapters discuss examples of false arguments in arithmetic, algebra, geometry, trigonometry, and approximate computations. Ideally, students will come to the correct insights and conclusions on their own; however, each argument is followed by a detailed analysis of the false reasoning. Stimulating and unique, this book is an intriguing and enjoyable way to teach students critical mathematical reasoning skills.