10 Mathematics e-Books

* Super Course In Mathematics For The IIT-JEE : Algebra I
* Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic (Progress in Mathematics)
* Modern Solvers for Helmholtz Problems (Geosystems Mathematics)
* Representation Theory of Finite Groups
* Numerical Methods for Conservation Laws: From Analysis to Algorithm
* A Common-Sense Guide to Data Structures and Algorithms: Level Up Your Core Programming Skills
* College Mathematics for Business, Economics, Life Sciences and Social Sciences, Global Edition
* In Praise of Mathematics
* Sets, Functions, Measures, Volume I : Fundamentals of Set and Number Theory
* Super Course In Mathematics For The IIT-JEE : Calculus Vol. 3

Super Course In Mathematics For The IIT-JEE : Algebra I
English | 2012 | ISBN: 8131759822 | 365 Pages | PDF | 10 MB
Description Super Course for the IIT-JEE is a class-tested course content package for sure-shot success at the IIT-JEE. Each volume in this series is meticulously planned and structured to help the user imbibe and absorb concepts and apply them to IIT problems. Each title in the Super Course series follows a unique, user-friendly approach, with features such as Concept Strands, Concept Connectors, Topic Grip, IIT Assignment Exercise, which make the learning and application for the coveted IIT-JEE circuit both easy and enjoyable. The entire syllabus is strategically planned Concept strands, Concept Connectors and Topic Grip make learning and application easy and enjoyable. IIT Assignment Exercise provide quick check to gauge comprehension Based on an in-depth analysis of recent IIT-JEE trends Unique user friendly approach builds concepts and skills to solve problems in shortest possible time, thus building confidence, speed and accuracy.

Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic (Progress in Mathematics)
English | 22 Mar. 2017 | ISBN: 3319468510 | 260 Pages | PDF | 4 MB
The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory.

Modern Solvers for Helmholtz Problems (Geosystems Mathematics)
English | 14 Mar. 2017 | ISBN: 3319288318 | 256 Pages | PDF | 6.01 MB
This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz equation. The book consists of three parts:
new developments and analysis in Helmholtz solvers, practical methods and implementations of Helmholtz solvers, and industrial applications.
The Helmholtz equation appears in a wide range of science and engineering disciplines in which wave propagation is modeled. Examples are: seismic inversion, ultrasone medical imaging, sonar detection of submarines, waves in harbours and many more. The partial differential equation looks simple but is hard to solve. In order to approximate the solution of the problem numerical methods are needed. First a discretization is done. Various methods can be used: (high order) Finite Difference Method, Finite Element Method, Discontinuous Galerkin Method and Boundary Element Method. The resulting linear system is large, where the size of the problem increases with increasing frequency. Due to higher frequencies the seismic images need to be more detailed and, therefore, lead to numerical problems of a larger scale. To solve these three dimensional problems fast and robust, iterative solvers are required. However for standard iterative methods the number of iterations to solve the system becomes too large. For these reason a number of new methods are developed to overcome this hurdle.

Representation Theory of Finite Groups
1993 | ISBN-10: 0486674878 | 184 Pages | PDF | 5 MB
Concise, graduate-level exposition of the theory of finite groups, including the theory of modular representations. Topics include representation theory of rings with identity, representation theory of finite groups, applications of the theory of characters, construction of irreducible representations and modular representations. Rudiments of linear algebra and knowledge of group theory helpful prerequisites. Exercises. Bibliography. Appendix. 1965 edition.

Numerical Methods for Conservation Laws: From Analysis to Algorithm
English | ISBN: 1611975093 | 2018 | 571 Pages | PDF | 18 MB
Conservation laws are the mathematical expression of the principles of conservation and provide effective and accurate predictive models of our physical world. Although intense research activity during the last decades has led to substantial advances in the development of powerful computational methods for conservation laws, their solution remains a challenge and many questions are left open; thus it is an active and fruitful area of research. Numerical Methods for Conservation Laws: From Analysis to Algorithms:offers the first comprehensive introduction to modern computational methods and their analysis for hyperbolic conservation laws, building on intense research activities for more than four decades of development;discusses classic results on monotone and finite difference/finite volume schemes, but emphasizes the successful development of high-order accurate methods for hyperbolic conservation laws;addresses modern concepts of TVD and entropy stability, strongly stable Runge-Kutta schemes, and limiter-based methods before discussing essentially nonoscillatory schemes, discontinuous Galerkin methods, and spectral methods;explores algorithmic aspects of these methods, emphasizing one- and two-dimensional problems and the development and analysis of an extensive range of methods; includes MATLAB software with which all main methods and computational results in the book can be reproduced; anddemonstrates the performance of many methods on a set of benchmark problems to allow direct comparisons.

A Common-Sense Guide to Data Structures and Algorithms: Level Up Your Core Programming Skills

English | February 5th, 2018 | ISBN: 1680502441 | 220 Pages | EPUB (True/HQ) | 8.42 MB

Algorithms and data structures are much more than abstract concepts. Mastering them enables you to write code that runs faster and more efficiently, which is particularly important for today's web and mobile apps. This book takes a practical approach to data structures and algorithms, with techniques and real-world scenarios that you can use in your daily production code. Graphics and examples make these computer science concepts understandable and relevant. You can use these techniques with any language; examples in the book are in jаvascript, Python, and Ruby.
Use Big O notation, the primary tool for evaluating algorithms, to measure and articulate the efficiency of your code, and modify your algorithm to make it faster. Find out how your choice of arrays, linked lists, and hash tables can dramatically affect the code you write. Use recursion to solve tricky problems and create algorithms that run exponentially faster than the alternatives. Dig into advanced data structures such as binary trees and graphs to help scale specialized applications such as social networks and mapping software. You'll even encounter a single keyword that can give your code a turbo boost. Jay Wengrow brings to this book the key teaching practices he developed as a web development bootcamp founder and educator.
Use these techniques today to make your code faster and more scalable.

College Mathematics for Business, Economics, Life Sciences and Social Sciences, Global Edition
2014 | 13 edition | ISBN-10: 1292057661 | 1044 Pages | PDF | 72 MB
Barnett/Ziegler/Byleen is designed to help students help themselves succeed in the course. This text offers more built-in guidance than any other on the market-with special emphasis on prerequisites skills-and a host of student-friendly features to help students catch up or learn on their own. The content is organized into three parts: (1) A Library of Elementary Functions (Chapters 1-2), (2) Finite Mathematics (Chapters 3-9), and (3) Calculus (Chapters 10-15).
This program provides a better teaching and learning experience. Here's how:
Personalized learning with MyMathLab?: the accompanying MyMathLab course provides online homework and learning tools that help students help themselves succeed.
More than 6,900 exercises in the text help you craft the perfect assignments for your students, with plenty of support for prerequisite skills.
Built-in guidance helps students help themselves learn course content.

In Praise of Mathematics
ISBN: 1509512020, 1509512039 | 2016 | EPUB | 144 Pages | 226 KB
Why bother to praise mathematics when you claim, as Alain Badiou does, that philosophy is first and foremost a metaphysics of happiness, or else it's not worth an hour of trouble? What possible relationship can there be between mathematics and happiness?
That is precisely the issue at stake in this dialogue, which serves as a very accessible introduction to what mathematics is and an exploration of the crucial influence it has always exerted on the greatest philosophers. Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

Sets, Functions, Measures, Volume I : Fundamentals of Set and Number Theory
by Valeriy K. Zakharov and Timofey V. Rodionov
English | 2018 | ISBN: 3110550083 | 448 Pages | PDF | 2.72 MB

This comprehensive two-volume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff's classic Set Theory (2nd ed., 1927), where set theory and the theory of functions were expounded as the fundamental parts of mathematics in such a way that there was no need for references to other sources. Along the lines of Hausdorff's initial work (1st ed., 1914), measure and integration theory is also included here as the third fundamental part of contemporary mathematics.The material about sets and numbers is placed in Volume 1 and the material about functions and measures is placed in Volume 2.
Contents:
Fundamentals of the theory of classes, sets, and numbers
Characterization of all natural models of Neumann - Bernays - Godel and Zermelo - Fraenkel set theories
Local theory of sets as a foundation for category theory and its connection with the Zermelo - Fraenkel set theory
Compactness theorem for generalized second-order language

Super Course In Mathematics For The IIT-JEE : Calculus Vol. 3
English | 2012 | ISBN: 8131759806 | 473 Pages | PDF | 11 MB
Super Course for the IIT-JEE is a class-tested course content package for sure-shot success at the IIT-JEE. Each volume in this series is meticulously planned and structured to help the user imbibe and absorb concepts and apply them to IIT problems. Each title in the Super Course series follows a unique, user-friendly approach, with features such as Concept Strands, Concept Connectors, Topic Grip, IIT Assignment Exercise, which make the learning and application for the coveted IIT-JEE circuit both easy and enjoyable.