Mark Goresky's Books

Stratified Morse Theory

By: Mark Goresky,Robert MacPherson

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Due to the lack of proper bibliographical sources stratification theory seems to be a "mysterious" subject in contemporary mathematics. This book contains a complete and elementary survey - including an extended bibliography - on stratification theory, including its historical development. Some further important topics in the book are: Morse theory, singularities, transversality theory, complex analytic varieties, Lefschetz theorems, connectivity theorems, intersection homology, complements of affine subspaces and combinatorics. The book is designed for all interested students or professionals in this area.

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Page Count

279

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642717144

ISBN 13

9783642717147

Algebraic Shift Register Sequences

By: Mark Goresky,Andrew Klapper

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Algebraic Shift Register Sequences

By: Mark Goresky,Andrew Klapper

Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations.

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Page Count

515

Publisher

Cambridge University Press

Published Date

ISBN 10

1107014999

ISBN 13

9781107014992

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

By: Jayce Getz,Mark Goresky

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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

By: Jayce Getz,Mark Goresky

In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book the authors take an alternate approach to these theorems and generalize them to the setting of Hilbert modular varieties of arbitrary dimension. The approach is conceptual and uses tools that were not available to Hirzebruch and Zagier, including intersection homology theory, properties of modular cycles, and base change. Automorphic vector bundles, Hecke operators and Fourier coefficients of modular forms are presented both in the classical and adèlic settings. The book should provide a foundation for approaching similar questions for other locally symmetric spaces.

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Page Count

264

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3034803516

ISBN 13

9783034803519

Analytic Combinatorics in Several Variables

By: Robin Pemantle,Mark C. Wilson,Stephen Melczer

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Analytic Combinatorics in Several Variables

By: Robin Pemantle,Mark C. Wilson,Stephen Melczer

Introduces the theory of multivariate generating functions, with new exercises, computational examples, and a conceptual overview chapter.

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Page Count

593

Publisher

Cambridge University Press

Published Date

ISBN 10

1108836623

ISBN 13

9781108836623

k-Schur Functions and Affine Schubert Calculus

By: Thomas Lam,Luc Lapointe,Jennifer Morse,Anne Schilling,Mark Shimozono,Mike Zabrocki

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k-Schur Functions and Affine Schubert Calculus

By: Thomas Lam,Luc Lapointe,Jennifer Morse,Anne Schilling,Mark Shimozono,Mike Zabrocki

This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads of combinatorics, geometry, and representation theory. Its modern development is motivated by two seemingly unrelated directions. One is the introduction of k-Schur functions in the study of Macdonald polynomial positivity, a mostly combinatorial branch of symmetric function theory. The other direction is the study of the Schubert bases of the (co)homology of the affine Grassmannian, an algebro-topological formulation of a problem in enumerative geometry. This is the first introductory text on this subject. It contains many examples in Sage, a free open source general purpose mathematical software system, to entice the reader to investigate the open problems. This book is written for advanced undergraduate and graduate students, as well as researchers, who want to become familiar with this fascinating new field.

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Page Count

226

Publisher

Springer

Published Date

ISBN 10

1493906828

ISBN 13

9781493906826

Sternberg's Diagnostic Surgical Pathology

By: Stacey E. Mills,Darryl Carter,Joel K. Greenson,Victor E. Reuter,Mark H. Stoler

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Sternberg's Diagnostic Surgical Pathology

By: Stacey E. Mills,Darryl Carter,Joel K. Greenson,Victor E. Reuter,Mark H. Stoler

Completely updated, the Fifth Edition of this standard-setting two-volume reference presents the most advanced diagnostic techniques and the latest information on all currently known disease entities. More than 90 preeminent surgical pathologists offer expert advice on the diagnostic evaluation of every type of specimen from every anatomic site. The Fifth Edition contains over 4,400 full-color photographs. This edition provides detailed coverage of the latest developments in the field, including new molecular and immunohistochemical markers for diagnosis and prognosis of neoplasia, improved classification systems for diagnosis and prognosis, the role of pathology in new diagnostic and therapeutic techniques, and the recognition of new entities or variants of entities. All full-color illustrations have been color-balanced to dramatically improve image quality.

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Page Count

7176

Publisher

Lippincott Williams & Wilkins

Published Date

ISBN 10

1451152892

ISBN 13

9781451152890

Applied Cryptanalysis

Breaking Ciphers in the Real World

By: Mark Stamp,Richard M. Low

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Applied Cryptanalysis

Breaking Ciphers in the Real World

By: Mark Stamp,Richard M. Low

The book is designed to be accessible to motivated IT professionals who want to learn more about the specific attacks covered. In particular, every effort has been made to keep the chapters independent, so if someone is interested in has function cryptanalysis or RSA timing attacks, they do not necessarily need to study all of the previous material in the text. This would be particularly valuable to working professionals who might want to use the book as a way to quickly gain some depth on one specific topic.

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Page Count

424

Publisher

John Wiley & Sons

Published Date

ISBN 10

0470148764

ISBN 13

9780470148761

The Hodge Theory of Projective Manifolds

By: Mark Andrea De Cataldo

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The Hodge Theory of Projective Manifolds

By: Mark Andrea De Cataldo

This book is a written-up and expanded version of eight lectures on the Hodge theory of projective manifolds. It assumes very little background and aims at describing how the theory becomes progressively richer and more beautiful as one specializes from Riemannian, to Khler, to complex projective manifolds. Though the proof of the Hodge Theorem is omitted, its consequences ? topological, geometrical and algebraic ? are discussed at some length. The special properties of complex projective manifolds constitute an important body of knowledge and readers are guided through it with the help of selected exercises. Despite starting with very few prerequisites, the concluding chapter works out, in the meaningful special case of surfaces, the proof of a special property of maps between complex projective manifolds, which was discovered only quite recently.

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Page Count

113

Publisher

World Scientific

Published Date

ISBN 10

1860948006

ISBN 13

9781860948008

Sleisenger and Fordtran's Gastrointestinal and Liver Disease E-Book

Pathophysiology, Diagnosis, Management

By: Mark Feldman,Lawrence S. Friedman,Lawrence J. Brandt

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Sleisenger and Fordtran's Gastrointestinal and Liver Disease E-Book

Pathophysiology, Diagnosis, Management

By: Mark Feldman,Lawrence S. Friedman,Lawrence J. Brandt

Now in its 10th edition, Sleisenger and Fordtran?s Gastrointestinal and Liver Disease remains your indispensable source for definitive, state-of-the-art answers on every aspect of gastroenterology and hepatology. Overcome your most complex clinical challenges and make optimal use of the newest techniques, technologies, and treatments?with superb guidance from hundreds of world-renowned authorities. Meticulous updates throughout include the latest approaches and improvements in gastrointestinal and liver disease diagnosis and therapy as well as hundreds of images and 35 new procedural videos. "..one of the most valuable clinical resources in the dynamic field of gastroenterology and hepatology." Reviewed by Brindusa Diaconu on behalf of the Journal of Gastrointestinal and Liver Diseases, July 2015 "..an engaging, educational yet clinically orientated textbook which is relevant to modern clinical practice." Reviewed by Dr Harry Brown on behalf of glycosmedia.com, April 2015 "I can personally attest to the remarkable advances that have been made, as I was author of the chapter on eosinophilic gastroenteritis in the second edition of the textbook, and reading the same chapter in the tenth edition underscores the important advances that have been made in our understanding of the molecular basis as well as the pathophysiology of this and related disorders." Foreword by Norton J. Greenberger, MD Boston, Massachusetts, June 2015 Consult this title on your favorite e-reader. Get the essential gastroenterology information you need from one authoritative source with an outstanding global reputation for excellence. Zero in on the key information you need to know with a consistent, full-color chapter design. Stay up to date with emerging and challenging topics: enteric microbiota and probiotics; fecal microbiota transplantation; Clostridium difficile colitis; and factitious gastrointestinal diseases. Incorporate the latest findings and improvements in care for liver disease patients—from diagnosis and treatment through post-treatment strategies and management of complications. Expert Consult eBook version included with purchase. This enhanced eBook experience allows you to search all of the text, figures, references, and videos from the book on a variety of devices.

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Page Count

3313

Publisher

Elsevier Health Sciences

Published Date

ISBN 10

1455749893

ISBN 13

9781455749898

Algebraic Shift Register Sequences

By: Mark Goresky,Andrew Klapper

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Algebraic Shift Register Sequences

By: Mark Goresky,Andrew Klapper

Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations.

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Page Count

515

Publisher

Cambridge University Press

Published Date

ISBN 10

1107014999

ISBN 13

9781107014992

Stratified Morse Theory

By: Mark Goresky,Robert MacPherson

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Stratified Morse Theory

By: Mark Goresky,Robert MacPherson

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Solve jigsaw puzzle

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Page Count

279

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642717144

ISBN 13

9783642717147

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

By: Jayce Getz,Mark Goresky

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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

By: Jayce Getz,Mark Goresky

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Solve jigsaw puzzle

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Page Count

264

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3034803516

ISBN 13

9783034803519

Book's by Mark Goresky

Stratified Morse Theory

Stratified Morse Theory

Algebraic Shift Register Sequences

Algebraic Shift Register Sequences

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

Analytic Combinatorics in Several Variables

Analytic Combinatorics in Several Variables

k-Schur Functions and Affine Schubert Calculus

k-Schur Functions and Affine Schubert Calculus

Sternberg's Diagnostic Surgical Pathology

Sternberg's Diagnostic Surgical Pathology

Applied Cryptanalysis

Applied Cryptanalysis

The Hodge Theory of Projective Manifolds

The Hodge Theory of Projective Manifolds

Sleisenger and Fordtran's Gastrointestinal and Liver Disease E-Book

Sleisenger and Fordtran's Gastrointestinal and Liver Disease E-Book

Algebraic Shift Register Sequences

Algebraic Shift Register Sequences

Stratified Morse Theory

Stratified Morse Theory

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

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