Download or read book A Course in Arithmetic written by J-P. Serre and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.

Download or read book A Course of Mathematics written by Charles Hutton and published by . This book was released on 2020-09-22 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Course in Mathematical Analysis Volume 1 Foundations and Elementary Real Analysis written by D. J. H. Garling and published by Cambridge University Press. This book was released on 2013-04-25 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. This first volume focuses on the analysis of real-valued functions of a real variable. Besides developing the basic theory it describes many applications, including a chapter on Fourier series. It also includes a Prologue in which the author introduces the axioms of set theory and uses them to construct the real number system. Volume II goes on to consider metric and topological spaces and functions of several variables. Volume III covers complex analysis and the theory of measure and integration.

Download or read book A Course in Mathematics for Students of Physics Volume 1 written by Paul Bamberg and published by Cambridge University Press. This book was released on 1991-08-30 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.

Download or read book A Course in Functional Analysis written by John B Conway and published by Springer. This book was released on 2019-03-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS

Download or read book Glencoe Math Course 1 Student Edition written by McGraw-Hill Education and published by McGraw-Hill Education. This book was released on 2014-06-06 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Glencoe Math Student Edition is an interactive text that engages students and assist with learning and organization. It personalizes the learning experience for every student. The write-in text, 3-hole punched, perfed pages allow students to organize while they are learning.

Download or read book A Course in Mathematics Vol 1 written by Frederick S. Woods and published by Forgotten Books. This book was released on 2015-06-15 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Course in Mathematics, Vol. 1: For Students of Engineering and Applied Science This book is the first volume of a course in mathematics designed to present in a consecutive and homogeneous manner an amount of material generally given in distinct courses under the various names of algebra, analytic geometry, differential and integral calculus, and differential equations. The entire course covers the work usually required of a student in his first two years in an engineering school, the first volume containing the work of the first year. In arranging the material, however, the traditional division of mathematics into distinct subjects is disregarded, and the principles of each subject are introduced as needed and the subjects developed together. The objects are to give the student a better grasp of mathematics as a whole, and of the interdependence of its various parts, and to accustom him to use, in later applications, the method best adapted to the problem in hand. At the same time a decided advantage is gained in the introduction of the principles of analytic geometry and calculus earlier than is usual. In this way these subjects are studied longer than is otherwise possible, thus leading to greater familiarity with their methods and greater freedom and skill in their application. In carrying out this plan in detail the subject-matter of this volume is arranged as follows: 1. An introductory chapter on elimination, including the use of determinants. This chapter may be postponed or omitted, if a teacher prefers, without seriously affecting the subsequent work. 2. Graphical representation. Here the student learns the use of a system of coordinates and the definition and plotting of a function. 3. The study of the algebraic polynomial. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book Principles of Mathematics Book 1 Teacher Guide written by Katherine Loop and published by New Leaf Publishing Group. This book was released on 2016-08-05 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teacher Guide for Book 1 of the Principles of Mathematics - Biblical Worldview Curriculum for junior high! Math is a real-life tool that points us to God and helps us explore His creation, yet it often comes across as dry facts and meaningless rules. Here at last is a curriculum that has a biblical worldview integrated throughout the text and problems, not just added as an afterthought. The resources in the Teacher Guide will help students master and apply the skills learned in the Student Textbook. What does this Teacher Guide include? Worksheets, Quizzes, and Tests: These perforated, three-hole punched pages help provide practice on the principles taught in the main student textbook.Answer Keys: The answers are included for the worksheets, quizzes, and tests found in this Teacher Guide.Schedule: A suggested calendar schedule is provided for completing the material in one year, though this can be adapted to meet individual student needs. There is also an accelerated schedule for completing the material in one semester. Are there any prerequisites for this course? This curriculum is aimed at grades 6-8, fitting into most math approaches the year or two years prior to starting high school algebra. If following traditional grade levels, Book 1 should be completed in grade 6 or 7, and Book 2 in grade 7 or 8. In Book 1 students should have a basic knowledge of arithmetic (basic arithmetic will be reviewed, but at a fast pace and while teaching problem-solving skills and a biblical worldview of math) and sufficient mental development to think through the concepts and examples given. Typically, anyone in sixth grade or higher should be prepared to begin. The focus of the course is actually learning math for life, not simply preparing to pass a test.

Download or read book Classical Dynamical Systems written by Walter Thirring and published by Springer. This book was released on 2013-12-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Real Analysis written by Barry Simon and published by American Mathematical Soc.. This book was released on 2015-11-02 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 1 is devoted to real analysis. From one point of view, it presents the infinitesimal calculus of the twentieth century with the ultimate integral calculus (measure theory) and the ultimate differential calculus (distribution theory). From another, it shows the triumph of abstract spaces: topological spaces, Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally convex spaces, Fréchet spaces, Schwartz space, and spaces. Finally it is the study of big techniques, including the Fourier series and transform, dual spaces, the Baire category, fixed point theorems, probability ideas, and Hausdorff dimension. Applications include the constructions of nowhere differentiable functions, Brownian motion, space-filling curves, solutions of the moment problem, Haar measure, and equilibrium measures in potential theory.

Download or read book A Course in Mathematics for Students of Physics Volume 1 written by Paul G. Bamberg and published by Cambridge University Press. This book was released on 1988 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.

Download or read book A Course in Mathematical Physics written by Walter Thirring and published by . This book was released on 1992 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Cambridge O Level Mathematics Volume 1 written by Audrey Simpson and published by Cambridge University Press. This book was released on 2012-05-10 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Endorsed by University of Cambridge International Examinations. Cambridge O Level Mathematics Volume 1 provides a two-year course leading to O Level examinations from University of Cambridge International Examinations in Mathematics. The book is designed to be worked through sequentially and can be used as a classroom textbook or for self-study.

Download or read book A Course in Convexity written by Alexander Barvinok and published by American Mathematical Soc.. This book was released on 2002-11-19 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convexity is a simple idea that manifests itself in a surprising variety of places. This fertile field has an immensely rich structure and numerous applications. Barvinok demonstrates that simplicity, intuitive appeal, and the universality of applications make teaching (and learning) convexity a gratifying experience. The book will benefit both teacher and student: It is easy to understand, entertaining to the reader, and includes many exercises that vary in degree of difficulty. Overall, the author demonstrates the power of a few simple unifying principles in a variety of pure and applied problems. The prerequisites are minimal amounts of linear algebra, analysis, and elementary topology, plus basic computational skills. Portions of the book could be used by advanced undergraduates. As a whole, it is designed for graduate students interested in mathematical methods, computer science, electrical engineering, and operations research. The book will also be of interest to research mathematicians, who will find some results that are recent, some that are new, and many known results that are discussed from a new perspective.

Download or read book A Course in Mathematics Vol 1 written by Frederick S. Woods and published by Forgotten Books. This book was released on 2018-03-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Course in Mathematics, Vol. 1: For Students of Engineering and Applied Science As compared with the usual first course in analytic geometry, there will be found in this volume fewer of the properties of the conic sections, except as they appear in problems set for the student. On the other hand, a greater variety of curves are given, and it is believed that greater emphasis is placed on the essential principles. All work in three dimensions is postponed to the second year, and is to be taken up in the second volume in connection with functions of two or more variables, partial differentiation, and double and triple integration. This volume contains the matter usually given in a first course in differential calculus, with the exception of differentials, series, indeterminate forms, partial differentiation, envelopes, and some advanced applications to curves. These subjects will find their appropriate place in the further development of the course in the second volume. Integration has been sparingly used as the inverse operation of differentiation. And without employing the integral Sign. Simple applications to areas and velocities are given. To do more would require the expenditure of too much time on the Operation of integration, and the introduction of too many new ideas into one year's work. The integral, as a limit of a sum, with its many applications, will form an important part of the second year's work. In the preparation of the text the needs of a student who desires to use mathematics as a tool in engineering and scientific work have been primarily considered, but it is believed that the course is also adapted to the student who studies mathematics for its own sake. Abstract discussions are avoided and frequent applications and illustrations are given. Illustrations, however, which are beyond the range of a first-year student's knowledge of physical science are omitted. The proofs are made as rigorous as the maturity of the student will admit. It is to be remembered in this connection that the earlier chapters are to be studied by students who have just entered college. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book Foundations of Applied Mathematics Volume I written by Jeffrey Humpherys and published by SIAM. This book was released on 2017-07-07 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the essential foundations of both linear and nonlinear analysis necessary for understanding and working in twenty-first century applied and computational mathematics. In addition to the standard topics, this text includes several key concepts of modern applied mathematical analysis that should be, but are not typically, included in advanced undergraduate and beginning graduate mathematics curricula. This material is the introductory foundation upon which algorithm analysis, optimization, probability, statistics, differential equations, machine learning, and control theory are built. When used in concert with the free supplemental lab materials, this text teaches students both the theory and the computational practice of modern mathematical analysis. Foundations of Applied Mathematics, Volume 1: Mathematical Analysis includes several key topics not usually treated in courses at this level, such as uniform contraction mappings, the continuous linear extension theorem, Daniell?Lebesgue integration, resolvents, spectral resolution theory, and pseudospectra. Ideas are developed in a mathematically rigorous way and students are provided with powerful tools and beautiful ideas that yield a number of nice proofs, all of which contribute to a deep understanding of advanced analysis and linear algebra. Carefully thought out exercises and examples are built on each other to reinforce and retain concepts and ideas and to achieve greater depth. Associated lab materials are available that expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?

Download or read book Pure Mathematics for Cape written by Elizabeth Campbell and published by Lmh Publishing. This book was released on 2007-01-01 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of a series of four books, Pure Mathematics for Cape Vol. 1 is an ideal textbook for students of the Caribbean Advanced Proficiency Examinations (CAPE) in Pure Maths, both for use in the classroom and self study. Features include lists of definitions, symbols and abbreviations, a comprehensive index and answers to all the exercises.