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Multivariable Calculus

Jerry Shurman , "Multivariable Calculus"
Reed College | 2010 | 487 pages | PDF | 6,6 MB

Essays in Constructive Mathematics

Essays in Constructive Mathematics
By Harold M. Edwards
Publisher: Springer | 2004 | 211 Pages | ISBN: 0387219781 | PDF | 11.5 MB

Three Pearls of Number Theory

Three Pearls of Number Theory by A. Y. Khinchin

D.ver Publications | 2010 | ISBN: 0486400263 | 64 pages | Djvu | 1 MB

Three diverting puzzles involve the proof of a basic law governing the world of numbers known to be correct in all tested cases—the problem is to prove that the law is always correct. The challenges concern van der Waerden’s theorem on arithmetic progressions, the Landau-Schnirelmann hypothesis and Mann’s theorem, and a solution to Waring’s problem. Proofs and explanations of the answers included.

Three Pearls of Number Theory

Three Pearls of Number Theory by A. Y. Khinchin

Three diverting puzzles involve the proof of a basic law governing the world of numbers known to be correct in all tested cases—the problem is to prove that the law is always correct. The challenges concern van der Waerden’s theorem on arithmetic progressions, the Landau-Schnirelmann hypothesis and Mann’s theorem, and a solution to Waring’s problem. Proofs and explanations of the answers included.

Computability And Incompleteness

Computability And Incompleteness

English | FLV 1024x768 | MP3 48 Kbps | 176 MB

Genre: eLearning

Author:Errol Martin, EP Martin Consulting

In these lectures we cover the following topics: Computability and Recursive Functions, Proof that exactly the partial recursive functions are computable, Godel’s Incompleteness Theorems, Lob's Theorem.

Advanced Microeconomic Theory (3rd Edition)

Advanced Microeconomic Theory (3rd Edition) by Geoffrey A. Jehle

Publisher: Pren tice Hall | ISBN 10: 0273731912 | 2011 | PDF | 672 pages | 3,7 MB

The classic text in advanced microeconomic theory, revised and expanded.
‘Advanced Microeconomic Theory’ remains a rigorous, up-to-date standard in microeconomics, giving all the core mathematics and modern theory the advanced student must master.
Long known for careful development of complex theory, together with clear, patient explanation, this student-friendly text, with its efficient theorem-proof organization, and many examples and exercises, is uniquely effective in advanced courses.

Advanced Microeconomic Theory (3rd Edition)

Geoffrey A. Jehle, "Advanced Microeconomic Theory (3rd Edition)"
Publisher: Prentice Hall | ISBN 10: 0273731912 | 2011 | PDF | 672 pages | 3.7 MB

Differential Calculus

Differential Calculus by Hari Kishan

Atlantic Publishers & Distributors (P) Ltd | 2007 | ISBN: 8126908211 | ISBN-13: 9788126908219 | 500 pages | PDF | 15 MB

Primarily meant for graduate level students of Mathematics of different universities across India, the book provides the reader with the thorough understanding of the topics included in the UGC syllabus—Leibnitz’s Theorem, Maclaurian and Taylor Series Expansion, Rolle and Mean Value Theorem, Euler’s Theorem, Jacobians, Variables, Asymptotes, Curve Tracing to name a few. The explanation of the subject matter is systematic and all fundamental concepts of the included topics are explained with a micro-analysis. Sufficient number of well-graded solved examples have been given to let the students understand the various skills necessary to solve the problems.

Complex Analysis

A Foundation in Digital Communication

This intuitive yet rigourous introduction derives the core results of digital communication from first principles. Theory, rather than industry standards, motivates the engineering approaches, and key results are stated with all the required assumptions. The book emphasizes the geometric view, opening with the inner product, the matched filter for its computation, Parseval's theorem, the sampling theorem as an orthonormal expansion, the isometry between passband signals and their baseband representation, and the spectral-efficiency optimality of quadrature amplitude modulation (QAM). Subsequent chapters address noise, hypothesis testing, Gaussian stochastic processes, and the sufficiency of the matched filter outputs. Uniquely, there is a treatment of white noise without generalized functions, and of the power spectral density without artificial random jitters and random phases in the analysis of QAM. This systematic and insightful book, with over 300 exercises, is ideal for graduate courses in digital communication, and for anyone asking 'why' and not just 'how'.

A History of Mathematics

A History of Mathematics by Carl B. Boyer

Publisher: W ile y; 3 edition | 2011 | ISBN: 0470525487 | PDF | 688 pages | 6 MB

The updated new edition of the classic and comprehensive guide to the history of mathematics
For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincare Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs.

Specification and Verification of Multi-agent Systems

Specification and Verification of Multi-agent Systems By Mehdi Dastani, Koen V. Hindriks, John-Jules Charles Meyer
Publisher: Spr..in..ger 2010 | 422 Pages | ISBN: 1441969837 | PDF | 4 MB

Specification and Verification of Multi-agent Systems presents a coherent treatment of the area of formal specification and verification of agent-based systems with a special focus on verification of multi-agent programs. This edited volume includes contributions from international leading researchers in the area, addressing logical formalisms and techniques, such as model checking, theorem proving, and axiomatisations for (semi) automatic verification of agent-based systems.

The Theory of Poker

The Theory of Poker
300 pages | Dec 12, 2007 |ISBN:1880685000 | PDF | 8 Mb

The Theory of Poker by David Sklansky discusses theories and concepts applicable to nearly every variation of the game, including five-card draw (high), seven-card stud, hold em, lowball draw, and razz (seven-card lowball stud). This book introduces you to the Fundamental Theorem of Poker, its implications, and how it should affect your play. Other chapters discuss the value of deception, bluffing, raising, the slow-play, the value of position, psychology, heads-up play, game theory, implied odds, the free card, and semibluffing.

Math Tutor DVD - Calculus Help: The Calculus 3 Tutor: Volume 2

Calculus 3 is considered by most to be a very difficult course to master in the realm of Calculus. This is because you will learn about many different topics, and each topic builds on the previous. If you dont understand something early on, the chances of catching up are drastically reduced as time goes on.

Statistical Mechanics, Third Edition

Statistical Mechanics, Third Edition by R K Pathria and Paul D. Beale

Aca mic Press | 2011 | ISBN: 0123821886 | 744 pages | PDF | 8 MB

This classic text, first published in 1972, is designed for graduate physics courses in statistical mechanics. The second edition, published in 1996, incorporated three comprehensive chapters on phase transitions and critical phenomena.
This third edition includes new sections on Bose-Einstein condensation and degenerate Fermi behavior of ultracold atomic gases, and two new chapters on computer simulation methods and the thermodynamics of the early universe. We have also added new sections on chemical and phase equilibrium, and expanded our discussions of correlations and scattering, quantized fields, finite-size effects and the fluctuation-dissipation theorem. We hope this new edition will continue to provide new generations of students with a solid training in the methods of statistical physics.

Jody Samuels - Elliott Wave Forex Course

Jody Samuels Elliott Wave Forex Course
Size: 1.11 GB | Genre: eLearning

The Elliott Wave Analysis course is designed for intermediate to advanced traders with an interest in expanding the way they observe, identify, and trade market patterns. Through our end to end explanation of principle theorem and application of this paramount pattern of all chart patterns, the learner will emerge a confident trader in all market sectors.Once thought of as a theory burdened by complex mathematics, our step by step Elliott Wave Course was designed for all in mind so that a trader can understand the importance and practicality of Elliott Wave theory.

The Elements of Operator Theory

The Elements of Operator Theory

2nd Edition. edition (February 1, 2011) | ISBN: 0817649972 | 538 pages | PDF | 4 MB

This second edition of Elements of Operator Theory is a concept-driven textbook that includes a significant expansion of the problems and solutions used to illustrate the principles of operator theory. Written in a user-friendly, motivating style intended to avoid the formula-computational approach, fundamental topics are presented in a systematic fashion, i.e., set theory, algebraic structures, topological structures, Banach spaces, and Hilbert spaces, culminating with the Spectral Theorem.

Meta Math!: The Quest for Omega

Meta Math!: The Quest for Omega (Peter N. Nevraumont Books) by Gregory J. Chaitin

Publisher: Pantheon (October 4, 2005) | ISBN: 0375423133 | Pages: 240 | PDF | 1 MB

Note the exclamation point: Chaitin is on fire about math and is unable to restrain his enthusiasm. No mere number cruncher, he is renowned for finding another proof of Kurt Godel's incompleteness theorem and another for Alan Turing's "halting problem" in computation. Chaitin explains these two achievements here, in prose that is difficult for general readers to follow, but the spirit he brings to his subject will be apparent to all. Chaitin radiates his zeal like a preacher seeking converts.

Khan Academy - Calculus

All videos from the Khan Academy website (khanacademy.com) on Calculus.

Math Tutor DVD - Calculus Help: The Calculus 3 Tutor: Volume 2

Chalk Dust - Geometry (2007)

Chapter 1- Line and Angle Relations
1.1 Sets, Statements and Reasoning
1.2 Informal Geometry and Measurement
1.3 Early Definitions and Postulates
1.4 Angles and Their Relationships
1.5 Introduction to Geometric Proof
1.6 Relationships: Perpendicular Lines
1.7 The Formal Proof of a Theorem

Meta Math!: The Quest for Omega

Meta Math!: The Quest for Omega (Peter N. Nevraumont Books) by Gregory J. Chaitin

Publisher: Pantheon (October 4, 2005) | ISBN: 0375423133 | Pages: 240 | PDF | 1 MB

Circuit Analysis

Circuit Analysis by David McMahon

M.g.H | 2007 | ISBN: 0071488987 | 288 pages | PDF | 12 MB

Need to learn circuit analysis but experiencing some resistance in your brain waves? No stress! Circuit Analysis Demystified will give you the jolt you need to understand this complex subject--without getting your circuits crossed.
In the first part of the book, you'll learn the fundamentals such as voltage and current theorems, Thevenin and Norton's theorems, op amp circuits, capacitance and inductance, and phasor analysis of circuits.

Bilinear Control Systems: Matrices in Action

Bilinear Control Systems: Matrices in Action

Springer | 2009 | ISBN: 1402096127 | 281 pages | PDF | 12 MB

A control system is called bilinear if it is described by linear differential equations in which the control inputs appear as coefficients. The study of bilinear control systems began in the 1960s and has since developed into a fascinating field, vital for the solution of many challenging practical control problems. Its methods and applications cross inter-disciplinary boundaries, proving useful in areas as diverse as spin control in quantum physics and the study of Lie semigroups. The first half of the book is based upon matrix analysis, introducing Lie algebras and the Campbell-Baker-Hausdorff Theorem.

A Course on Finite Groups

A Course on Finite Groups

Springer | 2009 | ISBN: 1848828888 | 311 pages | PDF | 12 MB

A Course on Finite Groups introduces the fundamentals of group theory to advanced undergraduate and beginning graduate students. Based on a series of lecture courses developed by the author over many years, the book starts with the basic definitions and examples and develops the theory to the point where a number of classic theorems can be proved. The topics covered include: Lagrange’s theorem; group constructions; homomorphisms and isomorphisms; actions; Sylow theory, products and Abelian groups; series, and nilpotent and soluble groups; and an introduction to the classification of the finite simple groups.

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