Author: I.M. Gelfand,Mark Saul,Mark E. Saul

Publisher: Springer Science & Business Media

ISBN: 9780817639143

Category: Education

Page: 229

View: 326

Replete with illustrations and examples, this book covers all the basic topics of trigonometry and stimulates readers to think of mathematics as a unified subject. Definitions of trigonometric functions are geometrically motivated, and various geometric relationships are rewritten in trigonometric form and extended. The text is written by two experienced pre-college teachers, one of whom, I.M. Gelfand, is considered the most distinguished living mathematician. 6/99.
Posted in Education


Author: I.M. Gelfand,Alexander Shen

Publisher: Springer Science & Business Media

ISBN: 9780817636777

Category: Mathematics

Page: 160

View: 2313

This book is about algebra. This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.
Posted in Mathematics

Advanced Trigonometry

Author: C. V. Durell,A. Robson

Publisher: Courier Corporation

ISBN: 0486154432

Category: Mathematics

Page: 352

View: 5741

This volume is a welcome resource for teachers seeking an undergraduate text on advanced trigonometry. Ideal for self-study, this book offers a variety of topics with problems and answers. 1930 edition. Includes 79 figures.
Posted in Mathematics

Lectures on Linear Algebra

Author: I. M. Gelfand

Publisher: Courier Corporation

ISBN: 9780486660820

Category: Mathematics

Page: 185

View: 387

Prominent Russian mathematician's concise, well-written exposition considers n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, and an introduction to tensors. While not designed as an introductory text, the book's well-chosen topics, brevity of presentation, and the author's reputation will recommend it to all students, teachers, and mathematicians working in this sector.
Posted in Mathematics


A Graphing Approach

Author: Robert P. Hostetler,Ron Larson,Bruce H. Edwards

Publisher: Brooks/Cole Publishing Company

ISBN: 9780618394586

Category: Mathematics

Page: 704

View: 8838

As part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, Trigonometry: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This edition, intended for trigonometry courses that require the use of a graphing calculator includes a moderate review of algebra to help students entering the course with weak algebra skills. Accessibility to students is achieved through careful writing and design, including same-page examples and solutions, which maximize the readability of the text. Similarly, side-by-side solutions show algebraic, visual, and numeric representations of the mathematics to support students' various learning styles. The Library of Functions thread throughout the text provides a definition and list of characteristics for each elementary function and compares newly introduced functions to those already presented to increase students' understanding of these important concepts. Technology Support notes provided at point-of-use throughout the text guide students to the Technology Support Appendix, where they can learn how to use specific graphing calculator features to enhance their understanding of the concepts presented. Houghton Mifflin's Eduspace online classroom management tool offers instructors the option to assign homework and tests online, provides tutorial support for students needing additional help, and includes the ability to grade any of these assignments automatically.
Posted in Mathematics

The Method of Coordinates

Author: I. M. Gelfand,E. G. Glagoleva,A. A. Kirillov

Publisher: Courier Corporation

ISBN: 9780486425658

Category: Mathematics

Page: 80

View: 7495

Two-part treatment begins with discussions of coordinates of points on a line, coordinates of points in a plane, and coordinates of points in space. Part two examines geometry as an aid to calculation and peculiarities of four-dimensional space. Abundance of ingenious problems — includes solutions, answers, and hints. 1967 edition.
Posted in Mathematics

The Arnold-Gelfand Mathematical Seminars

Author: V. Arnold,I.M. Gelfand,Mikhail Smirnov,Vladimir S. Retakh

Publisher: Springer Science & Business Media

ISBN: 1461241227

Category: Mathematics

Page: 438

View: 3437

Posted in Mathematics

The Gelfand Mathematical Seminars, 1993–1995

Author: I.M. Gelfand,James Lepowsky,Mikhail M. Smirnov

Publisher: Springer Science & Business Media

ISBN: 9780817638160

Category: Mathematics

Page: 274

View: 6294

The Seminar has taken place at Rutgers University in New Brunswick, New Jersey, since 1990 and it has become a tradition, starting in 1992, that the Seminar be held during July at IHES in Bures-sur-Yvette, France. This is the second Gelfand Seminar volume published by Birkhauser, the first having covered the years 1990-1992. Most of the papers in this volume result from Seminar talks at Rutgers, and some from talks at IHES. In the case of a few of the papers the authors did not attend, but the papers are in the spirit of the Seminar. This is true in particular of V. Arnold's paper. He has been connected with the Seminar for so many years that his paper is very natural in this volume, and we are happy to have it included here. We hope that many people will find something of interest to them in the special diversity of topics and the uniqueness of spirit represented here. The publication of this volume would be impossible without the devoted attention of Ann Kostant. We are extremely grateful to her. I. Gelfand J. Lepowsky M. Smirnov Questions and Answers About Geometric Evolution Processes and Crystal Growth Fred Almgren We discuss evolutions of solids driven by boundary curvatures and crystal growth with Gibbs-Thomson curvature effects. Geometric measure theo retic techniques apply both to smooth elliptic surface energies and to non differentiable crystalline surface energies.
Posted in Mathematics

Feynman Lectures On Computation

Author: Richard P. Feynman

Publisher: CRC Press

ISBN: 0429980078

Category: Science

Page: 324

View: 4555

When, in 1984?86, Richard P. Feynman gave his famous course on computation at the California Institute of Technology, he asked Tony Hey to adapt his lecture notes into a book. Although led by Feynman, the course also featured, as occasional guest speakers, some of the most brilliant men in science at that time, including Marvin Minsky, Charles Bennett, and John Hopfield. Although the lectures are now thirteen years old, most of the material is timeless and presents a ?Feynmanesque? overview of many standard and some not-so-standard topics in computer science such as reversible logic gates and quantum computers.
Posted in Science

Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry

Geometry, Algebra, Trigonometry

Author: George F. Simmons

Publisher: Wipf and Stock Publishers

ISBN: 1592441300

Category: Mathematics

Page: 128

View: 3072

ÒGeometry is a very beautiful subject whose qualities of elegance, order, and certainty have exerted a powerful attraction on the human mind for many centuries. . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun.Ó In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.
Posted in Mathematics

Functions and Graphs

Author: I. M. Gelfand,E. G. Glagoleva,E. E. Shnol

Publisher: Courier Corporation

ISBN: 0486317137

Category: Mathematics

Page: 112

View: 7924

This text demonstrates the fundamentals of graph theory. The 1st part employs simple functions to analyze basics; 2nd half deals with linear functions, quadratic trinomials, linear fractional functions, power functions, rational functions. 1969 edition.
Posted in Mathematics

A First Course in Functional Analysis

Author: Martin Davis

Publisher: Courier Corporation

ISBN: 0486315819

Category: Mathematics

Page: 128

View: 4887

Designed for undergraduate mathematics majors, this self-contained exposition of Gelfand's proof of Wiener's theorem explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and more. 1966 edition.
Posted in Mathematics

Precalculus: With Unit Circle Trigonometry

Author: David Cohen

Publisher: Cengage Learning

ISBN: 1111793697

Category: Mathematics

Page: 1200

View: 1931

David Cohen's PRECALCULUS, WITH UNIT-CIRCLE TRIGONOMETRY, Fourth Edition, focuses on teaching mathematics, using a graphical perspective throughout to provide a visual understanding of college algebra and trigonometry. The author is known for his clear writing style and the numerous quality exercises and applications he includes in his respected texts. In this new edition, graphs, visualization of data, and functions are now introduced much earlier and receive greater emphasis. Many sections now contain more examples and exercises involving applications and real-life data. While this edition takes the existence of the graphing calculator for granted, the material is arranged so that one can teach the course with as much or as little graphing utility work as he/she wishes. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Posted in Mathematics

Dynamics, Statistics and Projective Geometry of Galois Fields

Author: V. I. Arnold

Publisher: Cambridge University Press

ISBN: 1139493442

Category: Mathematics

Page: N.A

View: 7222

V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.
Posted in Mathematics

The Survival of a Mathematician

From Tenure-track to Emeritus

Author: Steven George Krantz

Publisher: American Mathematical Soc.

ISBN: 0821846299

Category: Mathematics

Page: 310

View: 689

"One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.
Posted in Mathematics

Analytical trigonometry

Author: Thomas John Robinson

Publisher: HarperCollins Publishers


Category: Mathematics

Page: 287

View: 4743

Posted in Mathematics

Residues and Duality

Lecture Notes of a Seminar on the Work of A. Grothendieck, Given at Harvard 1963 /64

Author: Robin Hartshorne

Publisher: Springer

ISBN: 3540347941

Category: Mathematics

Page: 424

View: 7641

Posted in Mathematics

Basic Hypergeometric Series

Author: George Gasper,Mizan Rahman

Publisher: Cambridge University Press

ISBN: 9780521833578

Category: Mathematics

Page: 428

View: 997

This revised and expanded new edition will continue to meet the needs for an authoritative, up-to-date, self contained, and comprehensive account of the rapidly growing field of basic hypergeometric series, or q-series. Simplicity, clarity, deductive proofs, thoughtfully designed exercises, and useful appendices are among its strengths. The first five chapters cover basic hypergeometric series and integrals, whilst the next five are devoted to applications in various areas including Askey-Wilson integrals and orthogonal polynomials, partitions in number theory, multiple series, orthogonal polynomials in several variables, and generating functions. Chapters 9-11 are new for the second edition, the final chapter containing a simplified version of the main elements of the theta and elliptic hypergeometric series as a natural extension of the single-base q-series. Some sections and exercises have been added to reflect recent developments, and the Bibliography has been revised to maintain its comprehensiveness.
Posted in Mathematics

A Mathematical Introduction to Compressive Sensing

Author: Simon Foucart,Holger Rauhut

Publisher: Springer Science & Business Media

ISBN: 0817649484

Category: Computers

Page: 625

View: 923

At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, an explosion of research activity has already followed the theoretical results that highlighted the efficiency of the basic principles. The elegant ideas behind these principles are also of independent interest to pure mathematicians. A Mathematical Introduction to Compressive Sensing gives a detailed account of the core theory upon which the field is build. With only moderate prerequisites, it is an excellent textbook for graduate courses in mathematics, engineering, and computer science. It also serves as a reliable resource for practitioners and researchers in these disciplines who want to acquire a careful understanding of the subject. A Mathematical Introduction to Compressive Sensing uses a mathematical perspective to present the core of the theory underlying compressive sensing.
Posted in Computers

Coordinate Geometry

Author: Luther Pfahler Eisenhart

Publisher: Courier Corporation

ISBN: 0486442616

Category: Mathematics

Page: 298

View: 5007

A thorough, complete, and unified introduction, this volume affords exceptional insights into coordinate geometry. Invariants of conic sections and quadric surfaces receive full treatments. Algebraic equations on the first degree in two and three unknowns are carefully reviewed. Throughout the book, results are formulated precisely, with clearly stated theorems. More than 500 helpful exercises. 1939 edition.
Posted in Mathematics