Elementary Number Theory with Applications
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This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions. The unique features of the first edition like news of recent discoveries, biographical sketches of mathematicians, and applications--like the use of congruence in scheduling of a round-robin tournament--are being refreshed with current information. More challenging exercises are included both in the textbook and in the instructor's manual. Elementary Number Theory with Applications 2e is ideally suited for undergraduate students and is especially appropriate for prospective and in-service math teachers at the high school and middle school levels.
Advanced Calculus of a Single Variable
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This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus, such as limits (with an emphasis on ε-δ definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L'Hôpital's rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests). Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.
Simplifying Statistics for Graduate Students
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One of the greatest barriers to completing a graduate thesis or a doctoral dissertation is statistics. Oftentimes, the journey through graduate school is gratifying when the content courses in the chosen field of study are undertaken. Conversely, the statistics courses are met with trepidation. Many graduate students feel lost when it comes to dealing with data. Simplifying Statistics for Grad Students:Making the Use of Data Simple and User-Friendly is intended to help graduate students move through the barriers that seem formidable but are not. While this book is not a statistics text and does not purport to be such, it introduces graduate students to basic statistical concepts in an easy-to-comprehend manner. It is also a handbook that they can refer back to time and time again. Expertise with data is expected of graduate students. Simplifying Statistics for Grad Students is an antidote for the research and statistics blues.
Simplifying Statistics for Graduate Students
by
One of the greatest barriers to completing a graduate thesis or a doctoral dissertation is statistics. Oftentimes, the journey through graduate school is gratifying when the content courses in the chosen field of study are undertaken. Conversely, the statistics courses are met with trepidation. Many graduate students feel lost when it comes to dealing with data. Simplifying Statistics for Grad Students:Making the Use of Data Simple and User-Friendly is intended to help graduate students move through the barriers that seem formidable but are not. While this book is not a statistics text and does not purport to be such, it introduces graduate students to basic statistical concepts in an easy-to-comprehend manner. It is also a handbook that they can refer back to time and time again. Expertise with data is expected of graduate students. Simplifying Statistics for Grad Students is an antidote for the research and statistics blues.
