Handbook of Normal Frames and Coordinates (2006)

The main subject of the book is an up-to-date and in-depth survey of the theory of normal frames and coordinates in differential geometry.

The book can be used as a reference manual, a review of the existing results and an introduction to some new ideas and developments.

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A Handbook of Real Variables (2003)

Publication Date: January 19, 2004 | ISBN-10: 081764329X | ISBN-13: 978-0817643294 | Edition: 2004

This concise, well-written handbook provides a distillation of the theory of real variables with a particular focus on the subject's significant applications to differential equations and Fourier analysis. Ideal for the working engineer or scientist, the book uses ample examples and brief explanations---without a lot of proofs or axiomatic machinery---to give the reader quick, easy access to all of the key concepts and touchstone results of real analysis.

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Handbook of Matrices

 Publication Date: February 18, 1997 | ISBN-10: 0471970158 | ISBN-13: 978-0471970156 | Edition: 1

Matrices are used in many areas such as statistics, econometrics, mathematics, natural sciences and engineering. This handbook provides a collection of numerous results for easy reference in one source, together with a comprehensive dictionary of matrices and related terms. The book is structured and cross-referenced so that specific results and information are easy to locate. References for proofs and computational algorithms are provided.

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Foundation Maths (4th Edition) (2006)

English | 2006 | 523 pages | PDF | 5,19 Mb

Foundation Maths has been written for students taking higher or further education courses, who have not specialised in mathematics on post-16 qualifications and need to use mathematical tools in their courses.

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Handbook of K-theory Volumes 1,2 (2005)

This handbook presents the first compilation of techniques and results across much of the present state of the art in K-theory. Consisting of individual chapters, each an exposition of a particular subfield or line of development related to K-theory, written by an expert, it outlines fundamental ideas and techniques of the past, fundamental open problems, and exciting directions for future research. Much of the material presented here appears for the first time in book form. The intent of each chapter is present to the interested reader, be she an established K-theorist or someone interested in obtaining an overview of results, an exposition of both results and techniques in the literature as well as challenges for the future. The book should be especially useful for students and mathematicians interested in pursuing further research in this rapidly expanding field.

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Innovative Numerical Modelling in Geomechanics (2012)

2012 | PDF | 474 pages | 23.44 Mb

Since the 1990s five books on "Applications of Computational Mechanics in Geotechnical Engineering"have been published. Innovative Numerical Modelling in Geomechanics is the 6th and final book in this series, and contains papers written by leading experts on computational mechanics.

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Summus Mathematicus et Omnis Humanitatis Pater: The Vitae of Vittorino da Feltre and the Spirit of Humanism (2013)

2013 | PDF | 200 pages | 3.08 Mb

This book revises the picture of the teacher and educator of princes, Vittorino Rambaldoni da Feltre (c. 1378, Feltre -- 1446, Mantua), taking a completely new approach to show his work and life from the individual perspectives created by his students and contemporaries.

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An Introduction to the Mathematics of Financial Derivatives, 3rd edition (2013)

English | 2013 | ISBN: 012384682X | 480 pages | PDF | 10 Mb

This is an Introduction to the Mathematics of Financial Derivatives is a popular, intuitive text that eases the transition between basic summaries of financial engineering to more advanced treatments using stochastic calculus. Requiring only a basic knowledge of calculus and probability, it takes readers on a tour of advanced financial engineering. This classic title has been revised by Ali Hirsa, who accentuates its well-known strengths while introducing new subjects, updating others, and bringing new continuity to the whole.

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Precalculus by Cyntia Young (2nd edition) (2013)

2013 | 1200 Pages | ISBN: 0470904135 | PDF | 34 MB

Engineers looking for an accessible approach to calculus will appreciate Precalculus: With Limits, 2nd Edition.

The book offers a clear writing style that helps reduce any math anxiety they may have while developing their problem-solving skills.

It incorporates Parallel Words and Math boxes that provide detailed annotations which follow a multi-modal approach.

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A Probability Path (2014)

English | 2014 | 468 pages | PDF | 10.16 Mb

Many probability books are written by mathematicians and have the built-in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate students from a variety of disciplines whose primary focus is not necessarily mathematics for its own sake. Instead, A Probability Path is designed for those requiring a deep understanding of advanced probability for their research in statistics, applied probability, biology, operations research, mathematical finance and engineering.

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Advanced Calculus: A Differential Forms Approach (2014)

English | 2014 | 528 pages | PDF | 16.54 Mb

In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes theorem. The result is genuine mathematics, both in spirit and content, and an exciting choice for an honors or graduate course or indeed for any mathematician in need of a refreshingly informal and flexible reintroduction to the subject. For all these potential readers, the author has made the approach work in the best tradition of creative mathematics.


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STEM Project-Based Learning: An Integrated Science, Technology, Engineering, and Mathematics (STEM) Approach (2nd Edition) (2013)

Published: 2013-01-11 | ISBN: 9462091412 | PDF | 224 pages | 15 MB

This second edition of Project-Based Learning PBL presents an original approach to Science, Technology, Engineering and Mathematics STEM centric PBL.

We define STEM PBL as an ill-defined task with a well-defined outcome,which is consistent with our engineering design philosophy and the accountability highlighted in a standards-based environment.

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The Mathematica Book (5ed) by Stephen Wolfram

Publication Date: February 28, 1999 | ISBN-10: 0521643147 | ISBN-13: 978-0521643146 | Edition: 4

With over a million users around the world, the Mathematica software system created by Stephen Wolfram has defined the direction of technical computing for the past decade. The enhanced text and hypertext processing and state-of-the-art numerical computation features ensure that Mathematica 4 takes scientific computing into the next century. New to this version: visual tour of key features, practical tutorial introduction, full descriptions of 1100 built-in functions, a thousand illustrative examples, easy-to-follow descriptive tables, essays highlighting key concepts, examples of data import and export, award-winning gallery of Mathematica graphics, gallery of mathematical typesetting, dictionary of 700 special characters, a complete guide to the MathLink API, notes on internal implementation, and an index with over 10,000 entries copublished with Wolfram Media.

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Advance Engineering Mathematics (Seventh Engineering) by Peter V.O’Nell (2012)

Publication Date: June 20, 1997 | ISBN-10: 0534943209 | ISBN-13: 978-0534943202 | Edition: 4th

Intended for students in engineering, science and applied maths, this book includes chapters on ordinary differential equations, first-order differential equations, the Laplace transform, Sturm-Liouville theory, Eigenfunction expansions and special functions.





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Advance Engineering Mathematics (Tenth Edition) by Erwin Kreyszig (2011).

Publication Date: August 16, 2011 | ISBN-10: 0470458364 | ISBN-13: 978-0470458365 | Edition: 10

The tenth edition of this bestselling text includes examples in more detail and more applied exercises; both changes are aimed at making the material more relevant and accessible to readers. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. It goes into the following topics at great depth differential equations, partial differential equations, Fourier analysis, vector analysis, complex analysis, and linear algebra/differential equations.




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Advance Engineering Mathematics (Third Edition) by Dennis G Zill – Michael R Cullen.

Thoroughly updated, Zill’s Advanced Engineering Mathematics, Third Edition is a compendium of many mathematical topics for students planning a career in engineering or the sciences. A key strength of this text is Zill’s emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Third Edition is comprehensive, yet flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. Numerous new projects contributed by esteemed mathematicians have been added. Key Features o The entire text has been modernized to prepare engineers and scientists with the mathematical skills required to meet current technological challenges.

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Irrationals: A Story of the Numbers You Can't Count On (2012)

2012 | 312 Pages | ISBN: 0691143420 | PDF | 2 MB

The ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed.

In The Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define--and why so many questions still surround them.

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Basic Algebraic Geometry 1: Varieties in Projective Space (2013)

Publication Date: August 8, 1994 | ISBN-10: 3540548122 | ISBN-13: 978-3540548126 | Edition: 2nd, rev. and exp. ed.

This book is a revised and expanded new edition of the first four chapters of Shafarevich’s well-known introductory book on algebraic geometry. Besides correcting misprints and inaccuracies, the author has added plenty of new material, mostly concrete geometrical material such as Grassmannian varieties, plane cubic curves, the cubic surface, degenerations of quadrics and elliptic curves, the Bertini theorems, and normal surface singularities.

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Understanding Markov Chains: Examples and Applications (2013)

English | 2013 | ISBN: 9814451509 | 350 pages | PDF | 3,2 MB

This book provides an undergraduate introduction to discrete and continuous-time Markov chains and their applications. A large focus is placed on the first step analysis technique and its applications to average hitting times and ruin probabilities. Classical topics such as recurrence and transience, stationary and limiting distributions, as well as branching processes, are also covered. Two major examples (gambling processes and random walks) are treated in detail from the beginning, before the general theory itself is presented in the subsequent chapters. An introduction to discrete-time martingales and their relation to ruin probabilities and mean exit times is also provided, and the book includes a chapter on spatial Poisson processes with some recent results on moment identities and deviation inequalities for Poisson stochastic integrals. The concepts presented are illustrated by examples and by 72 exercises and their complete solutions.

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Model Theory (Third Edition) (2012)

ISBN: 0486488217 | 2012 | EPUB | 672 pages | 40 MB

This classic treatment covers most aspects of first-order model theory and many of its applications to algebra and set theory.

Extensively updated and corrected in 1990 to accommodate the most recent developments, including classification theory and nonstandard analysis, this third edition of the bestselling text added entirely new sections, exercises, and references.

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